
Time bar (total: 4.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 0 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 1 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 2 |
| 50% | 0% | 0% | 100% | 0% | 0% | 0% | 3 |
| 50% | 0% | 0% | 100% | 0% | 0% | 0% | 4 |
| 75% | 0% | 0% | 100% | 0% | 0% | 0% | 5 |
| 75% | 0% | 0% | 100% | 0% | 0% | 0% | 6 |
| 87.5% | 0% | 0% | 100% | 0% | 0% | 0% | 7 |
| 87.5% | 0% | 0% | 100% | 0% | 0% | 0% | 8 |
| 93.8% | 0% | 0% | 100% | 0% | 0% | 0% | 9 |
| 93.8% | 0% | 0% | 100% | 0% | 0% | 0% | 10 |
| 96.9% | 0% | 0% | 100% | 0% | 0% | 0% | 11 |
| 96.9% | 0% | 0% | 100% | 0% | 0% | 0% | 12 |
Compiled 23 to 16 computations (30.4% saved)
| 725.0ms | 8 256× | 0 | valid |
ival-<=: 146.0ms (30.2% of total)const: 130.0ms (26.9% of total)ival-add: 95.0ms (19.7% of total)ival-mult: 72.0ms (14.9% of total)ival-and: 23.0ms (4.8% of total)exact: 14.0ms (2.9% of total)ival-assert: 3.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 a b) |
| 0 | 0 | - | 0 | - | (*.f64 (+.f64 a b) (+.f64 a b)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | b |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 18.0ms | 512× | 0 | valid |
Compiled 59 to 24 computations (59.3% saved)
ival-add: 3.0ms (43.7% of total)ival-mult: 3.0ms (43.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 45 |
| 1 | 50 | 35 |
| 2 | 210 | 35 |
| 3 | 533 | 35 |
| 4 | 1075 | 35 |
| 5 | 1970 | 35 |
| 6 | 2756 | 35 |
| 7 | 2900 | 35 |
| 8 | 2900 | 35 |
| 9 | 2900 | 35 |
| 10 | 2942 | 35 |
| 11 | 2958 | 35 |
| 0 | 4 | 7 |
| 0 | 6 | 7 |
| 1 | 13 | 7 |
| 2 | 29 | 7 |
| 3 | 57 | 7 |
| 4 | 80 | 7 |
| 5 | 96 | 7 |
| 6 | 105 | 7 |
| 7 | 111 | 7 |
| 0 | 111 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (+.f64 a b) (+.f64 a b)) |
| Outputs |
|---|
(*.f64 (+.f64 a b) (+.f64 a b)) |
(*.f64 (+.f64 b a) (+.f64 b a)) |
(sort a b)
Compiled 7 to 4 computations (42.9% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 (+.f64 a b) (+.f64 a b)) |
Compiled 7 to 4 computations (42.9% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 a b) | |
| cost-diff | 0 | (*.f64 (+.f64 a b) (+.f64 a b)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 12 |
| 0 | 6 | 12 |
| 1 | 13 | 12 |
| 2 | 29 | 12 |
| 3 | 57 | 12 |
| 4 | 80 | 12 |
| 5 | 96 | 12 |
| 6 | 105 | 12 |
| 7 | 111 | 12 |
| 0 | 111 | 12 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 a b) (+.f64 a b)) |
(+.f64 a b) |
a |
b |
| Outputs |
|---|
(*.f64 (+.f64 a b) (+.f64 a b)) |
(*.f64 (+.f64 b a) (+.f64 b a)) |
(+.f64 a b) |
(+.f64 b a) |
a |
b |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 a b) | |
| accuracy | 0.029628759768442016 | (*.f64 (+.f64 a b) (+.f64 a b)) |
| 13.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-mult: 2.0ms (60.7% of total)ival-add: 1.0ms (30.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (+.f64 a b) (+.f64 a b)) |
(+.f64 a b) |
| Outputs |
|---|
(pow b 2) |
(+ (* 2 (* a b)) (pow b 2)) |
(+ (* a (+ a (* 2 b))) (pow b 2)) |
b |
(+ a b) |
(pow a 2) |
(* (pow a 2) (+ 1 (* 2 (/ b a)))) |
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2))))) |
a |
(* a (+ 1 (/ b a))) |
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(+ (* 2 (* a b)) (pow a 2)) |
(+ (* b (+ b (* 2 a))) (pow a 2)) |
(* (pow b 2) (+ 1 (* 2 (/ a b)))) |
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2))))) |
(* b (+ 1 (/ a b))) |
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b)))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | b | @ | -inf | ((* (+ a b) (+ a b)) (+ a b)) |
| 0.0ms | a | @ | inf | ((* (+ a b) (+ a b)) (+ a b)) |
| 0.0ms | a | @ | -inf | ((* (+ a b) (+ a b)) (+ a b)) |
| 0.0ms | b | @ | inf | ((* (+ a b) (+ a b)) (+ a b)) |
| 0.0ms | a | @ | 0 | ((* (+ a b) (+ a b)) (+ a b)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 125 |
| 1 | 193 | 125 |
| 2 | 488 | 125 |
| 3 | 1576 | 117 |
| 4 | 3867 | 117 |
| 5 | 6920 | 117 |
| 0 | 8073 | 101 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow b 2) |
(+ (* 2 (* a b)) (pow b 2)) |
(+ (* a (+ a (* 2 b))) (pow b 2)) |
b |
(+ a b) |
(pow a 2) |
(* (pow a 2) (+ 1 (* 2 (/ b a)))) |
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2))))) |
a |
(* a (+ 1 (/ b a))) |
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(+ (* 2 (* a b)) (pow a 2)) |
(+ (* b (+ b (* 2 a))) (pow a 2)) |
(* (pow b 2) (+ 1 (* 2 (/ a b)))) |
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2))))) |
(* b (+ 1 (/ a b))) |
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b)))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
| Outputs |
|---|
(pow b 2) |
(*.f64 b b) |
(+ (* 2 (* a b)) (pow b 2)) |
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b) |
(+ (* a (+ a (* 2 b))) (pow b 2)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)) |
b |
(+ a b) |
(+.f64 b a) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 (* 2 (/ b a)))) |
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a) |
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2))))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)) |
a |
(* a (+ 1 (/ b a))) |
(+.f64 b a) |
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(+.f64 b a) |
(+ (* 2 (* a b)) (pow a 2)) |
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a) |
(+ (* b (+ b (* 2 a))) (pow a 2)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)) |
(* (pow b 2) (+ 1 (* 2 (/ a b)))) |
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b) |
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2))))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)) |
(* b (+ 1 (/ a b))) |
(+.f64 b a) |
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b)))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(+.f64 b a) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 10 |
| 0 | 6 | 8 |
| 1 | 28 | 8 |
| 2 | 220 | 8 |
| 3 | 2817 | 8 |
| 0 | 9151 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 a b) (+.f64 a b)) |
(+.f64 a b) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) (-.f64 a b)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 b a) b (*.f64 a a)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) (-.f64 a b)) (*.f64 (-.f64 a b) (+.f64 b a))) #s(literal 1 binary64)) (+.f64 b a)) |
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 b a)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (-.f64 (*.f64 a a) (*.f64 (-.f64 b a) b)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 b a)) (+.f64 (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 (-.f64 b a) b) (-.f64 (*.f64 (-.f64 b a) b) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) (-.f64 a b)) #s(literal 1 binary64)) (pow.f64 (-.f64 a b) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 b a)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) (*.f64 (-.f64 a b) (+.f64 b a))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 (-.f64 a b) (+.f64 b a)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (+.f64 b a) b) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 b a) a) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 (+.f64 b a) b) (/.f64 (-.f64 b a) (pow.f64 (+.f64 b a) #s(literal -1 binary64))) (pow.f64 (*.f64 (+.f64 b a) a) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 a b) (+.f64 b a)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 a b) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 (-.f64 a b) (fma.f64 (-.f64 b a) b (*.f64 a a))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (+.f64 b a) b (*.f64 a a)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 a a) (*.f64 (-.f64 b a) b)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 (-.f64 b a) b) (-.f64 (*.f64 (-.f64 b a) b) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (*.f64 (-.f64 a b) (+.f64 b a))) #s(literal 2 binary64)) (pow.f64 (+.f64 b a) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) (-.f64 a b)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 (+.f64 b a) b (*.f64 a a))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) (-.f64 a b)) (*.f64 (-.f64 a b) (+.f64 b a))) (+.f64 b a)) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 b a)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 2 binary64)))) (-.f64 (*.f64 a a) (*.f64 (-.f64 b a) b))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 b a)) (+.f64 (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 b a) b) (-.f64 (*.f64 (-.f64 b a) b) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64)))) |
(*.f64 (/.f64 (neg.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (-.f64 a b)) (/.f64 (neg.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (-.f64 a b))) |
(*.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (-.f64 b a) b (*.f64 a a))) (/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (-.f64 b a) b (*.f64 a a)))) |
(*.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (neg.f64 (-.f64 a b))) (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (neg.f64 (-.f64 a b)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))) (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))) |
(*.f64 (pow.f64 (*.f64 (+.f64 b a) (-.f64 b a)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (-.f64 a b) #s(literal -2 binary64)) (pow.f64 (*.f64 (-.f64 a b) (+.f64 b a)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal -2 binary64)) (pow.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64))) |
(*.f64 (*.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) (-.f64 a b)) (pow.f64 (-.f64 a b) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 b a)) (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) (*.f64 (-.f64 a b) (+.f64 b a))) (pow.f64 (*.f64 (-.f64 a b) (+.f64 b a)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 b a) #s(literal 2 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 b a) b) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 b a) a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (+.f64 b a) b) (/.f64 (-.f64 b a) (pow.f64 (+.f64 b a) #s(literal -1 binary64))) (pow.f64 (*.f64 (+.f64 b a) a) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (-.f64 a b) (+.f64 b a)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (neg.f64 (-.f64 a b)) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 (-.f64 a b) (+.f64 b a)) #s(literal 2 binary64)) (pow.f64 (-.f64 a b) #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 (*.f64 (-.f64 a b) (fma.f64 (-.f64 b a) b (*.f64 a a))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 b a) (fma.f64 (-.f64 b a) b (*.f64 a a))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 b a) (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal -2 binary64))) |
(*.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (pow.f64 (/.f64 (+.f64 b a) (-.f64 a b)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (pow.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (pow.f64 (-.f64 a b) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (pow.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 (-.f64 a b) (fma.f64 (-.f64 b a) b (*.f64 a a)))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (pow.f64 (*.f64 (pow.f64 (-.f64 a b) #s(literal -1 binary64)) (+.f64 b a)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (/.f64 (+.f64 b a) (-.f64 a b))) |
(*.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (pow.f64 (-.f64 a b) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 (-.f64 a b) (fma.f64 (-.f64 b a) b (*.f64 a a))))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (-.f64 a b) (fma.f64 b b (*.f64 a a)))) |
(/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 (-.f64 a b) (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) |
(/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (-.f64 b a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 b a) #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 b #s(literal 9 binary64)) (pow.f64 a #s(literal 9 binary64))) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (-.f64 (+.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (*.f64 b a) #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (neg.f64 (-.f64 a b))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))) |
(/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (-.f64 a b)) |
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (-.f64 b a) b (*.f64 a a))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (-.f64 a b))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (-.f64 b a) b (*.f64 a a)))) |
(neg.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (neg.f64 (-.f64 a b)))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))) |
(fma.f64 (/.f64 (*.f64 a a) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 (+.f64 b a) b (*.f64 a a)) (neg.f64 (*.f64 b (/.f64 b (-.f64 a b))))) |
(fma.f64 (/.f64 (*.f64 a a) (*.f64 (-.f64 a b) (+.f64 b a))) (+.f64 b a) (neg.f64 (*.f64 b (/.f64 b (-.f64 a b))))) |
(fma.f64 (*.f64 a a) (pow.f64 (-.f64 a b) #s(literal -1 binary64)) (neg.f64 (*.f64 b (/.f64 b (-.f64 a b))))) |
(fma.f64 a (/.f64 a (-.f64 a b)) (neg.f64 (*.f64 b (/.f64 b (-.f64 a b))))) |
(-.f64 (/.f64 (*.f64 b b) (-.f64 b a)) (/.f64 (*.f64 a a) (-.f64 b a))) |
(-.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 b (/.f64 b (-.f64 a b)))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 b a))) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (+.f64 b a))) |
(+.f64 (*.f64 a (/.f64 a (-.f64 a b))) (neg.f64 (*.f64 b (/.f64 b (-.f64 a b))))) |
(+.f64 b a) |
(+.f64 a b) |
Compiled 43 302 to 2 968 computations (93.1% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 084 | 4 | 1 088 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 1 084 | 5 | 1 089 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a)) |
| ▶ | 100.0% | (fma.f64 b b (fma.f64 b a (*.f64 (+.f64 b a) a))) |
| ✓ | 100.0% | (*.f64 (+.f64 a b) (+.f64 a b)) |
| ▶ | 100.0% | #s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b))) |
| ▶ | 98.0% | #s(approx (* (+ a b) (+ a b)) (*.f64 b b)) |
Compiled 56 to 30 computations (46.4% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (+.f64 b a) a) | |
| cost-diff | 0 | (+.f64 b a) | |
| cost-diff | 384 | (fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a)) | |
| cost-diff | 0 | (+.f64 b a) | |
| cost-diff | 0 | (*.f64 (+.f64 b a) a) | |
| cost-diff | 192 | (fma.f64 b a (*.f64 (+.f64 b a) a)) | |
| cost-diff | 384 | (fma.f64 b b (fma.f64 b a (*.f64 (+.f64 b a) a))) | |
| cost-diff | 0 | (*.f64 b b) | |
| cost-diff | 0 | (fma.f64 #s(literal 2 binary64) b a) | |
| cost-diff | 0 | #s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b))) | |
| cost-diff | 384 | (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)) | |
| cost-diff | 0 | (*.f64 b b) | |
| cost-diff | 0 | #s(approx (* (+ a b) (+ a b)) (*.f64 b b)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 100 |
| 0 | 27 | 96 |
| 1 | 50 | 96 |
| 2 | 69 | 87 |
| 3 | 108 | 87 |
| 4 | 129 | 87 |
| 5 | 135 | 87 |
| 0 | 135 | 87 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (+ a b) (+ a b)) (*.f64 b b)) |
(*.f64 b b) |
b |
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)) |
(fma.f64 #s(literal 2 binary64) b a) |
#s(literal 2 binary64) |
b |
a |
(*.f64 b b) |
(fma.f64 b b (fma.f64 b a (*.f64 (+.f64 b a) a))) |
b |
(fma.f64 b a (*.f64 (+.f64 b a) a)) |
a |
(*.f64 (+.f64 b a) a) |
(+.f64 b a) |
(fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a)) |
(+.f64 b a) |
b |
a |
(*.f64 (+.f64 b a) a) |
| Outputs |
|---|
#s(approx (* (+ a b) (+ a b)) (*.f64 b b)) |
(*.f64 b b) |
b |
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b))) |
#s(approx (* (+ a b) (+ a b)) (*.f64 (+.f64 b a) (+.f64 b a))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)) |
(*.f64 (+.f64 b a) (+.f64 b a)) |
(fma.f64 #s(literal 2 binary64) b a) |
#s(literal 2 binary64) |
b |
a |
(*.f64 b b) |
(fma.f64 b b (fma.f64 b a (*.f64 (+.f64 b a) a))) |
(*.f64 (+.f64 b a) (+.f64 b a)) |
b |
(fma.f64 b a (*.f64 (+.f64 b a) a)) |
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a) |
a |
(*.f64 (+.f64 b a) a) |
(+.f64 b a) |
(fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a)) |
(*.f64 (+.f64 b a) (+.f64 b a)) |
(+.f64 b a) |
b |
a |
(*.f64 (+.f64 b a) a) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 b a) | |
| accuracy | 0.0078125 | (fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a)) | |
| accuracy | 0.0234375 | (*.f64 (+.f64 b a) a) | |
| accuracy | 0 | (fma.f64 b b (fma.f64 b a (*.f64 (+.f64 b a) a))) | |
| accuracy | 0 | (+.f64 b a) | |
| accuracy | 0.015625 | (fma.f64 b a (*.f64 (+.f64 b a) a)) | |
| accuracy | 0.0234375 | (*.f64 (+.f64 b a) a) | |
| accuracy | 0 | (fma.f64 #s(literal 2 binary64) b a) | |
| accuracy | 0 | (*.f64 b b) | |
| accuracy | 0 | #s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b))) | |
| accuracy | 0.01171875 | (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)) | |
| accuracy | 0 | (*.f64 b b) | |
| accuracy | 1.2924503916753207 | #s(approx (* (+ a b) (+ a b)) (*.f64 b b)) |
| 64.0ms | 256× | 0 | valid |
Compiled 195 to 34 computations (82.6% saved)
ival-add: 36.0ms (71.6% of total)ival-mult: 14.0ms (27.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (* (+ a b) (+ a b)) (*.f64 b b)) |
(*.f64 b b) |
(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)) |
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b))) |
(fma.f64 #s(literal 2 binary64) b a) |
(fma.f64 b b (fma.f64 b a (*.f64 (+.f64 b a) a))) |
(fma.f64 b a (*.f64 (+.f64 b a) a)) |
(*.f64 (+.f64 b a) a) |
(+.f64 b a) |
(fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a)) |
| Outputs |
|---|
(pow b 2) |
(+ (* 2 (* a b)) (pow b 2)) |
(+ (* a (+ a (* 2 b))) (pow b 2)) |
(* 2 b) |
(+ a (* 2 b)) |
(* 2 (* a b)) |
(* a (+ a (* 2 b))) |
(* a b) |
(* a (+ a b)) |
b |
(+ a b) |
(pow a 2) |
(* (pow a 2) (+ 1 (* 2 (/ b a)))) |
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2))))) |
a |
(* a (+ 1 (* 2 (/ b a)))) |
(* (pow a 2) (+ 1 (/ b a))) |
(* a (+ 1 (/ b a))) |
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)))) |
(* -1 (* a (- (* -2 (/ b a)) 1))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(+ (* 2 (* a b)) (pow a 2)) |
(+ (* b (+ b (* 2 a))) (pow a 2)) |
(+ (* a b) (pow a 2)) |
(* (pow b 2) (+ 1 (* 2 (/ a b)))) |
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2))))) |
(* b (+ 2 (/ a b))) |
(* b (+ (* 2 a) (/ (pow a 2) b))) |
(* b (+ a (/ (pow a 2) b))) |
(* b (+ 1 (/ a b))) |
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b)))) |
(* -1 (* b (- (* -1 (/ a b)) 2))) |
(* -1 (* b (+ (* -2 a) (* -1 (/ (pow a 2) b))))) |
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b))))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | b | @ | inf | ((* (+ a b) (+ a b)) (* b b) (+ (* (+ (* 2 b) a) a) (* b b)) (* (+ a b) (+ a b)) (+ (* 2 b) a) (+ (* b b) (+ (* b a) (* (+ b a) a))) (+ (* b a) (* (+ b a) a)) (* (+ b a) a) (+ b a) (+ (* (+ b a) b) (* (+ b a) a))) |
| 1.0ms | a | @ | inf | ((* (+ a b) (+ a b)) (* b b) (+ (* (+ (* 2 b) a) a) (* b b)) (* (+ a b) (+ a b)) (+ (* 2 b) a) (+ (* b b) (+ (* b a) (* (+ b a) a))) (+ (* b a) (* (+ b a) a)) (* (+ b a) a) (+ b a) (+ (* (+ b a) b) (* (+ b a) a))) |
| 1.0ms | b | @ | -inf | ((* (+ a b) (+ a b)) (* b b) (+ (* (+ (* 2 b) a) a) (* b b)) (* (+ a b) (+ a b)) (+ (* 2 b) a) (+ (* b b) (+ (* b a) (* (+ b a) a))) (+ (* b a) (* (+ b a) a)) (* (+ b a) a) (+ b a) (+ (* (+ b a) b) (* (+ b a) a))) |
| 1.0ms | a | @ | -inf | ((* (+ a b) (+ a b)) (* b b) (+ (* (+ (* 2 b) a) a) (* b b)) (* (+ a b) (+ a b)) (+ (* 2 b) a) (+ (* b b) (+ (* b a) (* (+ b a) a))) (+ (* b a) (* (+ b a) a)) (* (+ b a) a) (+ b a) (+ (* (+ b a) b) (* (+ b a) a))) |
| 1.0ms | a | @ | 0 | ((* (+ a b) (+ a b)) (* b b) (+ (* (+ (* 2 b) a) a) (* b b)) (* (+ a b) (+ a b)) (+ (* 2 b) a) (+ (* b b) (+ (* b a) (* (+ b a) a))) (+ (* b a) (* (+ b a) a)) (* (+ b a) a) (+ b a) (+ (* (+ b a) b) (* (+ b a) a))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 199 |
| 1 | 280 | 199 |
| 2 | 738 | 199 |
| 3 | 2138 | 199 |
| 4 | 4752 | 199 |
| 0 | 8063 | 175 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow b 2) |
(+ (* 2 (* a b)) (pow b 2)) |
(+ (* a (+ a (* 2 b))) (pow b 2)) |
(* 2 b) |
(+ a (* 2 b)) |
(* 2 (* a b)) |
(* a (+ a (* 2 b))) |
(* a b) |
(* a (+ a b)) |
b |
(+ a b) |
(pow a 2) |
(* (pow a 2) (+ 1 (* 2 (/ b a)))) |
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2))))) |
a |
(* a (+ 1 (* 2 (/ b a)))) |
(* (pow a 2) (+ 1 (/ b a))) |
(* a (+ 1 (/ b a))) |
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)))) |
(* -1 (* a (- (* -2 (/ b a)) 1))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(+ (* 2 (* a b)) (pow a 2)) |
(+ (* b (+ b (* 2 a))) (pow a 2)) |
(+ (* a b) (pow a 2)) |
(* (pow b 2) (+ 1 (* 2 (/ a b)))) |
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2))))) |
(* b (+ 2 (/ a b))) |
(* b (+ (* 2 a) (/ (pow a 2) b))) |
(* b (+ a (/ (pow a 2) b))) |
(* b (+ 1 (/ a b))) |
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b)))) |
(* -1 (* b (- (* -1 (/ a b)) 2))) |
(* -1 (* b (+ (* -2 a) (* -1 (/ (pow a 2) b))))) |
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b))))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
| Outputs |
|---|
(pow b 2) |
(*.f64 b b) |
(+ (* 2 (* a b)) (pow b 2)) |
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b) |
(+ (* a (+ a (* 2 b))) (pow b 2)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)) |
(* 2 b) |
(*.f64 #s(literal 2 binary64) b) |
(+ a (* 2 b)) |
(fma.f64 #s(literal 2 binary64) b a) |
(* 2 (* a b)) |
(*.f64 (*.f64 b a) #s(literal 2 binary64)) |
(* a (+ a (* 2 b))) |
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a) |
(* a b) |
(*.f64 b a) |
(* a (+ a b)) |
(*.f64 (+.f64 b a) a) |
b |
(+ a b) |
(+.f64 b a) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 (* 2 (/ b a)))) |
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a) |
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2))))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)) |
a |
(* a (+ 1 (* 2 (/ b a)))) |
(fma.f64 #s(literal 2 binary64) b a) |
(* (pow a 2) (+ 1 (/ b a))) |
(*.f64 (+.f64 b a) a) |
(* a (+ 1 (/ b a))) |
(+.f64 b a) |
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)) |
(* -1 (* a (- (* -2 (/ b a)) 1))) |
(fma.f64 #s(literal 2 binary64) b a) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(+.f64 b a) |
(+ (* 2 (* a b)) (pow a 2)) |
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a) |
(+ (* b (+ b (* 2 a))) (pow a 2)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)) |
(+ (* a b) (pow a 2)) |
(*.f64 (+.f64 b a) a) |
(* (pow b 2) (+ 1 (* 2 (/ a b)))) |
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b) |
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2))))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)) |
(* b (+ 2 (/ a b))) |
(fma.f64 #s(literal 2 binary64) b a) |
(* b (+ (* 2 a) (/ (pow a 2) b))) |
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a) |
(* b (+ a (/ (pow a 2) b))) |
(*.f64 (+.f64 b a) a) |
(* b (+ 1 (/ a b))) |
(+.f64 b a) |
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b)))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)) |
(* -1 (* b (- (* -1 (/ a b)) 2))) |
(fma.f64 #s(literal 2 binary64) b a) |
(* -1 (* b (+ (* -2 a) (* -1 (/ (pow a 2) b))))) |
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a) |
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b))))) |
(*.f64 (+.f64 b a) a) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(+.f64 b a) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 81 |
| 0 | 27 | 75 |
| 1 | 125 | 65 |
| 2 | 1120 | 65 |
| 0 | 8446 | 65 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (+ a b) (+ a b)) (*.f64 b b)) |
(*.f64 b b) |
(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)) |
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b))) |
(fma.f64 #s(literal 2 binary64) b a) |
(fma.f64 b b (fma.f64 b a (*.f64 (+.f64 b a) a))) |
(fma.f64 b a (*.f64 (+.f64 b a) a)) |
(*.f64 (+.f64 b a) a) |
(+.f64 b a) |
(fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a)) |
| Outputs |
|---|
#s(approx (* (+ a b) (+ a b)) (*.f64 b b)) |
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b))) |
(*.f64 b b) |
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 b b) #s(literal 1 binary64)) |
(pow.f64 b #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) |
(*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) b a) a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 (fma.f64 #s(literal 2 binary64) b a) a)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) b a) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 (neg.f64 b) b))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) b a) a) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 (fma.f64 #s(literal 2 binary64) b a) a)) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) b a) a) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) b a) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 (neg.f64 b) b)) #s(literal -1 binary64))) |
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#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b))) |
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(fma.f64 #s(literal 2 binary64) b a) |
(fma.f64 b #s(literal 2 binary64) a) |
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(fma.f64 a b (*.f64 (+.f64 b a) a)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 b a) a) #s(literal 2 binary64)) (fma.f64 (+.f64 b a) a (neg.f64 (*.f64 b a)))) (/.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (fma.f64 (+.f64 b a) a (neg.f64 (*.f64 b a))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (*.f64 a (-.f64 b (+.f64 b a)))) (/.f64 (pow.f64 (*.f64 (+.f64 b a) a) #s(literal 2 binary64)) (*.f64 a (-.f64 b (+.f64 b a))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (*.f64 a (-.f64 b (+.f64 b a)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (+.f64 b a) a) #s(literal 2 binary64)) (*.f64 a (-.f64 b (+.f64 b a)))))) |
(+.f64 (*.f64 b a) (*.f64 (+.f64 b a) a)) |
(+.f64 (*.f64 (+.f64 b a) a) (*.f64 b a)) |
(*.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) a) (pow.f64 (-.f64 b a) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 a b)) a) (pow.f64 (-.f64 a b) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) a) (pow.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) a) (pow.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) #s(literal -1 binary64))) |
(*.f64 (*.f64 a (*.f64 (+.f64 b a) (-.f64 b a))) (pow.f64 (-.f64 b a) #s(literal -1 binary64))) |
(*.f64 (*.f64 a (*.f64 (+.f64 b a) (-.f64 a b))) (pow.f64 (-.f64 a b) #s(literal -1 binary64))) |
(*.f64 (*.f64 a (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64))) |
(*.f64 (*.f64 a (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) #s(literal -1 binary64))) |
(*.f64 (+.f64 b a) a) |
(*.f64 a (+.f64 b a)) |
(/.f64 (-.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (-.f64 (*.f64 b a) (*.f64 a a))) |
(/.f64 (+.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (*.f64 b a) #s(literal 3 binary64))) (+.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (*.f64 (*.f64 a a) (*.f64 b a))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 b a) (*.f64 a a))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) a)) (neg.f64 (-.f64 b a))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 a b)) a)) (neg.f64 (-.f64 a b))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) a)) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) a)) (neg.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)))) |
(/.f64 (neg.f64 (*.f64 a (*.f64 (+.f64 b a) (-.f64 b a)))) (neg.f64 (-.f64 b a))) |
(/.f64 (neg.f64 (*.f64 a (*.f64 (+.f64 b a) (-.f64 a b)))) (neg.f64 (-.f64 a b))) |
(/.f64 (neg.f64 (*.f64 a (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)))) |
(/.f64 (neg.f64 (*.f64 a (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)))) |
(/.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) a) (-.f64 b a)) |
(/.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 a b)) a) (-.f64 a b)) |
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) a) (fma.f64 a (-.f64 a b) (*.f64 b b))) |
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) a) (fma.f64 b (-.f64 b a) (*.f64 a a))) |
(/.f64 (*.f64 a (*.f64 (+.f64 b a) (-.f64 b a))) (-.f64 b a)) |
(/.f64 (*.f64 a (*.f64 (+.f64 b a) (-.f64 a b))) (-.f64 a b)) |
(/.f64 (*.f64 a (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a (-.f64 a b) (*.f64 b b))) |
(/.f64 (*.f64 a (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 b (-.f64 b a) (*.f64 a a))) |
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (*.f64 a (-.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (*.f64 (*.f64 (+.f64 b a) (-.f64 a b)) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 a (*.f64 (+.f64 b a) (-.f64 b a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (*.f64 a (*.f64 (+.f64 b a) (-.f64 a b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (*.f64 a (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) (*.f64 a (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))))) |
(/.f64 a (/.f64 #s(literal 1 binary64) (+.f64 b a))) |
(fma.f64 b a (*.f64 a a)) |
(fma.f64 a b (*.f64 a a)) |
(fma.f64 a a (*.f64 b a)) |
(+.f64 (*.f64 a a) (*.f64 b a)) |
(+.f64 (*.f64 b a) (*.f64 a a)) |
(*.f64 (pow.f64 (*.f64 (+.f64 b a) (-.f64 b a)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (+.f64 b a) (-.f64 a b)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 a b) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (+.f64 b a)) |
(*.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 b a)))) |
(*.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 a b)))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b (-.f64 b a) (*.f64 a a))))) |
(*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (pow.f64 (-.f64 b a) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (pow.f64 (-.f64 a b) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) #s(literal -1 binary64)) |
(pow.f64 (+.f64 b a) #s(literal 1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b b) (-.f64 b a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 a a) (-.f64 b a)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 b b) (-.f64 b a)) (/.f64 (*.f64 b b) (-.f64 b a)) (fma.f64 (/.f64 (*.f64 a a) (-.f64 b a)) (/.f64 (*.f64 a a) (-.f64 b a)) (*.f64 (/.f64 (*.f64 b b) (-.f64 b a)) (/.f64 (*.f64 a a) (-.f64 b a)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 a a) (-.f64 a b)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 b b) (-.f64 a b)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (/.f64 (*.f64 a a) (-.f64 a b)) (fma.f64 (/.f64 (*.f64 b b) (-.f64 a b)) (/.f64 (*.f64 b b) (-.f64 a b)) (*.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (/.f64 (*.f64 b b) (-.f64 a b)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 b a)))) (neg.f64 (neg.f64 (-.f64 b a)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 a b)))) (neg.f64 (neg.f64 (-.f64 a b)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 b (-.f64 b a) (*.f64 a a))))) |
(/.f64 (-.f64 (*.f64 (*.f64 b b) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 a a))) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 a a) (-.f64 a b)) (*.f64 (-.f64 a b) (*.f64 b b))) (pow.f64 (-.f64 a b) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))) |
(/.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 b a))) (neg.f64 (-.f64 b a))) |
(/.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 a b))) (neg.f64 (-.f64 a b))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)))) |
(/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (-.f64 b a)) |
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 a b)) |
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a (-.f64 a b) (*.f64 b b))) |
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 b (-.f64 b a) (*.f64 a a))) |
(fma.f64 (*.f64 a a) (pow.f64 (-.f64 a b) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 b b) (-.f64 a b)))) |
(fma.f64 (*.f64 b b) (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 a a) (-.f64 b a)))) |
(-.f64 (/.f64 (*.f64 (+.f64 b a) b) (-.f64 b a)) (/.f64 (*.f64 (+.f64 b a) a) (-.f64 b a))) |
(-.f64 (/.f64 (*.f64 b b) (-.f64 b a)) (/.f64 (*.f64 a a) (-.f64 b a))) |
(-.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (/.f64 (*.f64 b b) (-.f64 a b))) |
(exp.f64 (*.f64 (log.f64 (+.f64 b a)) #s(literal 1 binary64))) |
(+.f64 (/.f64 (*.f64 b b) (-.f64 b a)) (neg.f64 (/.f64 (*.f64 a a) (-.f64 b a)))) |
(+.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (neg.f64 (/.f64 (*.f64 b b) (-.f64 a b)))) |
(+.f64 b a) |
(+.f64 a b) |
(*.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) (+.f64 b a)) (+.f64 b a)) |
(*.f64 (exp.f64 (log.f64 (+.f64 b a))) (exp.f64 (log.f64 (+.f64 b a)))) |
(*.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (+.f64 b a)) (pow.f64 (-.f64 b a) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (+.f64 b a)) (pow.f64 (-.f64 a b) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 b a)) (pow.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 b a)) (pow.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a))) (pow.f64 (-.f64 b a) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 b a) (*.f64 (+.f64 b a) (-.f64 a b))) (pow.f64 (-.f64 a b) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 b a) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 b a) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 b a) a) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 b a) b) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 b a) a) (*.f64 (+.f64 b a) b)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (+.f64 b a) b) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (+.f64 b a) b) a (neg.f64 (*.f64 b b))))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 b a) #s(literal 2 binary64))) |
(*.f64 (neg.f64 (*.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) (*.f64 (+.f64 b a) (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (+.f64 b a) (-.f64 b a))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 b a) b) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 b a) a) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (+.f64 b a) a) (-.f64 (*.f64 (+.f64 b a) a) (*.f64 (+.f64 b a) b)) (pow.f64 (*.f64 (+.f64 b a) b) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (+.f64 b a) b) a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 b (-.f64 b a)) (*.f64 (+.f64 b a) a))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (+.f64 b a) b) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (+.f64 (+.f64 b a) b) a) (fma.f64 (+.f64 (+.f64 b a) b) a (neg.f64 (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) |
(*.f64 (pow.f64 (*.f64 (+.f64 b a) (-.f64 b a)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 b a) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (*.f64 (+.f64 b a) (-.f64 b a)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (+.f64 b a) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (-.f64 a b)))) |
(*.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (fma.f64 a (-.f64 a b) (*.f64 b b))))) |
(*.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (fma.f64 b (-.f64 b a) (*.f64 a a))))) |
(*.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 a b) (-.f64 b a)))) |
(*.f64 (pow.f64 (*.f64 (+.f64 b a) (-.f64 a b)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 a b) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (*.f64 (+.f64 b a) (-.f64 a b)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 a b) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 a b) (fma.f64 a (-.f64 a b) (*.f64 b b))))) |
(*.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 a b) (fma.f64 b (-.f64 b a) (*.f64 a a))))) |
(*.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (-.f64 b a)))) |
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(fma.f64 (+.f64 (pow.f64 (*.f64 (+.f64 b a) a) #s(literal 3 binary64)) (pow.f64 (*.f64 b a) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (+.f64 b a) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 b a) a) (+.f64 b a))))) (*.f64 b b)) |
(fma.f64 (+.f64 (pow.f64 (*.f64 (+.f64 b a) a) #s(literal 3 binary64)) (pow.f64 (*.f64 b a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (+.f64 b a) a) (fma.f64 (+.f64 b a) a (neg.f64 (*.f64 b a))) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 b b)) |
(fma.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (-.f64 (*.f64 b (-.f64 b a)) (*.f64 (+.f64 b a) a)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (+.f64 b a) b) a) #s(literal 2 binary64)) (-.f64 (*.f64 b (-.f64 b a)) (*.f64 (+.f64 b a) a))))) |
(fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a)) |
(fma.f64 (+.f64 b a) a (*.f64 (+.f64 b a) b)) |
(fma.f64 b (+.f64 b a) (*.f64 (+.f64 b a) a)) |
(fma.f64 b b (*.f64 (+.f64 (+.f64 b a) b) a)) |
(fma.f64 b a (fma.f64 (+.f64 b a) a (*.f64 b b))) |
(fma.f64 a (+.f64 (+.f64 b a) b) (*.f64 b b)) |
(fma.f64 a (+.f64 b a) (*.f64 (+.f64 b a) b)) |
(fma.f64 a b (fma.f64 (+.f64 b a) a (*.f64 b b))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 b a) a) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 b a) a) (*.f64 (+.f64 b a) b))) (/.f64 (pow.f64 (*.f64 (+.f64 b a) b) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 b a) a) (*.f64 (+.f64 b a) b)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (+.f64 b a) b) a) #s(literal 2 binary64)) (fma.f64 (+.f64 (+.f64 b a) b) a (neg.f64 (*.f64 b b)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (+.f64 (+.f64 b a) b) a (neg.f64 (*.f64 b b))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 b a) b) #s(literal 2 binary64)) (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 (pow.f64 (*.f64 (+.f64 b a) a) #s(literal 2 binary64)) (*.f64 (+.f64 b a) (-.f64 b a)))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 b (-.f64 b a)) (*.f64 (+.f64 b a) a))) (/.f64 (pow.f64 (*.f64 (+.f64 (+.f64 b a) b) a) #s(literal 2 binary64)) (-.f64 (*.f64 b (-.f64 b a)) (*.f64 (+.f64 b a) a)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 b a)) #s(literal 2 binary64))) |
(+.f64 (fma.f64 b b (*.f64 (+.f64 b a) a)) (*.f64 b a)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 b a) b) #s(literal 2 binary64)) (*.f64 (+.f64 b a) (-.f64 b a))) (neg.f64 (/.f64 (pow.f64 (*.f64 (+.f64 b a) a) #s(literal 2 binary64)) (*.f64 (+.f64 b a) (-.f64 b a))))) |
(+.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 b (-.f64 b a)) (*.f64 (+.f64 b a) a))) (neg.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (+.f64 b a) b) a) #s(literal 2 binary64)) (-.f64 (*.f64 b (-.f64 b a)) (*.f64 (+.f64 b a) a))))) |
(+.f64 (*.f64 b a) (fma.f64 (+.f64 b a) a (*.f64 b b))) |
(+.f64 (*.f64 (+.f64 b a) b) (*.f64 (+.f64 b a) a)) |
(+.f64 (*.f64 (+.f64 (+.f64 b a) b) a) (*.f64 b b)) |
(+.f64 (*.f64 (+.f64 b a) a) (*.f64 (+.f64 b a) b)) |
(+.f64 (*.f64 b b) (*.f64 (+.f64 (+.f64 b a) b) a)) |
Compiled 22 337 to 1 939 computations (91.3% saved)
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 745 | 2 | 747 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 1 | 4 |
| Done | 0 | 1 | 1 |
| Total | 748 | 4 | 752 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.4% | (fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a))) |
| ▶ | 100.0% | (fma.f64 b b (*.f64 (+.f64 (+.f64 b a) b) a)) |
| ✓ | 100.0% | (*.f64 (+.f64 a b) (+.f64 a b)) |
| ✓ | 98.0% | #s(approx (* (+ a b) (+ a b)) (*.f64 b b)) |
Compiled 42 to 24 computations (42.9% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 b a) | |
| cost-diff | 0 | #s(approx (* (+ b a) a) (*.f64 b a)) | |
| cost-diff | 0 | (+.f64 b a) | |
| cost-diff | 0 | (fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a))) | |
| cost-diff | 0 | (+.f64 b a) | |
| cost-diff | 0 | (+.f64 (+.f64 b a) b) | |
| cost-diff | 0 | (*.f64 (+.f64 (+.f64 b a) b) a) | |
| cost-diff | 384 | (fma.f64 b b (*.f64 (+.f64 (+.f64 b a) b) a)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 58 |
| 0 | 19 | 58 |
| 1 | 28 | 58 |
| 2 | 38 | 58 |
| 3 | 63 | 55 |
| 4 | 97 | 55 |
| 5 | 118 | 55 |
| 6 | 119 | 55 |
| 0 | 119 | 53 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 b b (*.f64 (+.f64 (+.f64 b a) b) a)) |
b |
(*.f64 (+.f64 (+.f64 b a) b) a) |
(+.f64 (+.f64 b a) b) |
(+.f64 b a) |
a |
(fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a))) |
(+.f64 b a) |
b |
a |
#s(approx (* (+ b a) a) (*.f64 b a)) |
(*.f64 b a) |
| Outputs |
|---|
(fma.f64 b b (*.f64 (+.f64 (+.f64 b a) b) a)) |
(*.f64 (+.f64 a b) (+.f64 a b)) |
b |
(*.f64 (+.f64 (+.f64 b a) b) a) |
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a) |
(+.f64 (+.f64 b a) b) |
(fma.f64 #s(literal 2 binary64) b a) |
(+.f64 b a) |
(+.f64 a b) |
a |
(fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a))) |
(fma.f64 (+.f64 a b) b #s(approx (* (+ b a) a) (*.f64 a b))) |
(+.f64 b a) |
(+.f64 a b) |
b |
a |
#s(approx (* (+ b a) a) (*.f64 b a)) |
#s(approx (* (+ b a) a) (*.f64 a b)) |
(*.f64 b a) |
(*.f64 a b) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 b a) | |
| accuracy | 0 | (*.f64 b a) | |
| accuracy | 0.0078125 | (fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a))) | |
| accuracy | 1.2393889042842923 | #s(approx (* (+ b a) a) (*.f64 b a)) | |
| accuracy | 0 | (fma.f64 b b (*.f64 (+.f64 (+.f64 b a) b) a)) | |
| accuracy | 0 | (+.f64 b a) | |
| accuracy | 0.0078125 | (*.f64 (+.f64 (+.f64 b a) b) a) | |
| accuracy | 0.01953125 | (+.f64 (+.f64 b a) b) |
| 20.0ms | 256× | 0 | valid |
Compiled 112 to 24 computations (78.6% saved)
ival-mult: 7.0ms (59.1% of total)ival-add: 4.0ms (33.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 b b (*.f64 (+.f64 (+.f64 b a) b) a)) |
(*.f64 (+.f64 (+.f64 b a) b) a) |
(+.f64 (+.f64 b a) b) |
(+.f64 b a) |
(fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a))) |
#s(approx (* (+ b a) a) (*.f64 b a)) |
(*.f64 b a) |
| Outputs |
|---|
(pow b 2) |
(+ (* 2 (* a b)) (pow b 2)) |
(+ (* a (+ a (* 2 b))) (pow b 2)) |
(* 2 (* a b)) |
(* a (+ a (* 2 b))) |
(* 2 b) |
(+ a (* 2 b)) |
b |
(+ a b) |
(* a b) |
(* a (+ a b)) |
(pow a 2) |
(* (pow a 2) (+ 1 (* 2 (/ b a)))) |
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2))))) |
a |
(* a (+ 1 (* 2 (/ b a)))) |
(* a (+ 1 (/ b a))) |
(* (pow a 2) (+ 1 (/ b a))) |
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)))) |
(* -1 (* a (- (* -2 (/ b a)) 1))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(+ (* 2 (* a b)) (pow a 2)) |
(+ (* b (+ b (* 2 a))) (pow a 2)) |
(+ (* a b) (pow a 2)) |
(* (pow b 2) (+ 1 (* 2 (/ a b)))) |
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2))))) |
(* b (+ (* 2 a) (/ (pow a 2) b))) |
(* b (+ 2 (/ a b))) |
(* b (+ 1 (/ a b))) |
(* b (+ a (/ (pow a 2) b))) |
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b)))) |
(* -1 (* b (+ (* -2 a) (* -1 (/ (pow a 2) b))))) |
(* -1 (* b (- (* -1 (/ a b)) 2))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | -inf | ((+ (* b b) (* (+ (+ b a) b) a)) (* (+ (+ b a) b) a) (+ (+ b a) b) (+ b a) (+ (* (+ b a) b) (* (+ b a) a)) (* (+ b a) a) (* b a)) |
| 1.0ms | b | @ | -inf | ((+ (* b b) (* (+ (+ b a) b) a)) (* (+ (+ b a) b) a) (+ (+ b a) b) (+ b a) (+ (* (+ b a) b) (* (+ b a) a)) (* (+ b a) a) (* b a)) |
| 1.0ms | a | @ | inf | ((+ (* b b) (* (+ (+ b a) b) a)) (* (+ (+ b a) b) a) (+ (+ b a) b) (+ b a) (+ (* (+ b a) b) (* (+ b a) a)) (* (+ b a) a) (* b a)) |
| 1.0ms | b | @ | inf | ((+ (* b b) (* (+ (+ b a) b) a)) (* (+ (+ b a) b) a) (+ (+ b a) b) (+ b a) (+ (* (+ b a) b) (* (+ b a) a)) (* (+ b a) a) (* b a)) |
| 1.0ms | a | @ | 0 | ((+ (* b b) (* (+ (+ b a) b) a)) (* (+ (+ b a) b) a) (+ (+ b a) b) (+ b a) (+ (* (+ b a) b) (* (+ b a) a)) (* (+ b a) a) (* b a)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 199 |
| 1 | 280 | 199 |
| 2 | 740 | 199 |
| 3 | 2147 | 199 |
| 4 | 4744 | 199 |
| 0 | 8058 | 175 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow b 2) |
(+ (* 2 (* a b)) (pow b 2)) |
(+ (* a (+ a (* 2 b))) (pow b 2)) |
(* 2 (* a b)) |
(* a (+ a (* 2 b))) |
(* 2 b) |
(+ a (* 2 b)) |
b |
(+ a b) |
(* a b) |
(* a (+ a b)) |
(pow a 2) |
(* (pow a 2) (+ 1 (* 2 (/ b a)))) |
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2))))) |
a |
(* a (+ 1 (* 2 (/ b a)))) |
(* a (+ 1 (/ b a))) |
(* (pow a 2) (+ 1 (/ b a))) |
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)))) |
(* -1 (* a (- (* -2 (/ b a)) 1))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(+ (* 2 (* a b)) (pow a 2)) |
(+ (* b (+ b (* 2 a))) (pow a 2)) |
(+ (* a b) (pow a 2)) |
(* (pow b 2) (+ 1 (* 2 (/ a b)))) |
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2))))) |
(* b (+ (* 2 a) (/ (pow a 2) b))) |
(* b (+ 2 (/ a b))) |
(* b (+ 1 (/ a b))) |
(* b (+ a (/ (pow a 2) b))) |
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b)))) |
(* -1 (* b (+ (* -2 a) (* -1 (/ (pow a 2) b))))) |
(* -1 (* b (- (* -1 (/ a b)) 2))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b))))) |
| Outputs |
|---|
(pow b 2) |
(*.f64 b b) |
(+ (* 2 (* a b)) (pow b 2)) |
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b) |
(+ (* a (+ a (* 2 b))) (pow b 2)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)) |
(* 2 (* a b)) |
(*.f64 (*.f64 a b) #s(literal 2 binary64)) |
(* a (+ a (* 2 b))) |
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a) |
(* 2 b) |
(*.f64 #s(literal 2 binary64) b) |
(+ a (* 2 b)) |
(fma.f64 #s(literal 2 binary64) b a) |
b |
(+ a b) |
(+.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a (+ a b)) |
(*.f64 (+.f64 a b) a) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 (* 2 (/ b a)))) |
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a) |
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2))))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)) |
a |
(* a (+ 1 (* 2 (/ b a)))) |
(fma.f64 #s(literal 2 binary64) b a) |
(* a (+ 1 (/ b a))) |
(+.f64 a b) |
(* (pow a 2) (+ 1 (/ b a))) |
(*.f64 (+.f64 a b) a) |
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)) |
(* -1 (* a (- (* -2 (/ b a)) 1))) |
(fma.f64 #s(literal 2 binary64) b a) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(+.f64 a b) |
(+ (* 2 (* a b)) (pow a 2)) |
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a) |
(+ (* b (+ b (* 2 a))) (pow a 2)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)) |
(+ (* a b) (pow a 2)) |
(*.f64 (+.f64 a b) a) |
(* (pow b 2) (+ 1 (* 2 (/ a b)))) |
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b) |
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2))))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)) |
(* b (+ (* 2 a) (/ (pow a 2) b))) |
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a) |
(* b (+ 2 (/ a b))) |
(fma.f64 #s(literal 2 binary64) b a) |
(* b (+ 1 (/ a b))) |
(+.f64 a b) |
(* b (+ a (/ (pow a 2) b))) |
(*.f64 (+.f64 a b) a) |
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b)))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)) |
(* -1 (* b (+ (* -2 a) (* -1 (/ (pow a 2) b))))) |
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a) |
(* -1 (* b (- (* -1 (/ a b)) 2))) |
(fma.f64 #s(literal 2 binary64) b a) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(+.f64 a b) |
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b))))) |
(*.f64 (+.f64 a b) a) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 51 |
| 0 | 19 | 51 |
| 1 | 74 | 51 |
| 2 | 599 | 46 |
| 0 | 8638 | 44 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 b b (*.f64 (+.f64 (+.f64 b a) b) a)) |
(*.f64 (+.f64 (+.f64 b a) b) a) |
(+.f64 (+.f64 b a) b) |
(+.f64 b a) |
(fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a))) |
#s(approx (* (+ b a) a) (*.f64 b a)) |
(*.f64 b a) |
| Outputs |
|---|
(*.f64 (pow.f64 (+.f64 a b) #s(literal 1 binary64)) (pow.f64 (+.f64 a b) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (-.f64 b a)) (pow.f64 (-.f64 b a) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 a b)) (pow.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) b a) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 (neg.f64 b) b)))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 a b) #s(literal 2 binary64))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) b a) a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 b b) (*.f64 (fma.f64 #s(literal 2 binary64) b a) a))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) b a) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) b a) a) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 (neg.f64 b) b)) (pow.f64 b #s(literal 4 binary64)))))) |
(*.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 b a) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (fma.f64 a (-.f64 a b) (*.f64 b b))))) |
(*.f64 (*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (+.f64 a b) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (-.f64 b a)))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (pow.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (+.f64 a b))) |
(*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) b a) a) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 b b) (*.f64 (fma.f64 #s(literal 2 binary64) b a) a)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 b b) (*.f64 (fma.f64 #s(literal 2 binary64) b a) a)) (pow.f64 (-.f64 (*.f64 b b) (*.f64 (fma.f64 #s(literal 2 binary64) b a) a)) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (+.f64 a b))) |
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(fma.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) b) (*.f64 (+.f64 a b) a)) |
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(fma.f64 (+.f64 a b) a (*.f64 (+.f64 a b) b)) |
(fma.f64 (+.f64 a b) b (*.f64 (+.f64 a b) a)) |
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(fma.f64 a (+.f64 a b) (*.f64 (+.f64 a b) b)) |
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(fma.f64 a b (fma.f64 (+.f64 a b) a (*.f64 b b))) |
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(fma.f64 a b (fma.f64 (+.f64 a b) b (*.f64 a a))) |
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(fma.f64 (*.f64 #s(literal 2 binary64) b) a (*.f64 a a)) |
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(fma.f64 a a (*.f64 (*.f64 #s(literal 2 binary64) b) a)) |
(fma.f64 a a (*.f64 a (*.f64 #s(literal 2 binary64) b))) |
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(fma.f64 b a (*.f64 (+.f64 a b) a)) |
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(+.f64 (*.f64 a (*.f64 #s(literal 2 binary64) b)) (*.f64 a a)) |
(+.f64 (*.f64 a a) (fma.f64 a b (*.f64 a b))) |
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(+.f64 (*.f64 a a) (*.f64 a (*.f64 #s(literal 2 binary64) b))) |
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(neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) b a))) |
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) (+.f64 a b)) |
(fma.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (-.f64 a b)) b) |
(fma.f64 #s(literal 1 binary64) (+.f64 a b) b) |
(fma.f64 (*.f64 (neg.f64 (+.f64 a b)) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 b a))) b) |
(fma.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)))) b) |
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(-.f64 (/.f64 (*.f64 b b) (-.f64 b a)) (-.f64 (/.f64 (*.f64 a a) (-.f64 b a)) b)) |
(+.f64 (*.f64 #s(literal 2 binary64) b) a) |
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(+.f64 (+.f64 a b) b) |
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(*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (-.f64 a b))) |
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(*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (*.f64 (+.f64 a b) (pow.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)))) |
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(fma.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) b) #s(approx (* (+ b a) a) (*.f64 a b))) |
(fma.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) b) #s(approx (* (+ b a) a) (*.f64 a b))) |
(fma.f64 (pow.f64 (*.f64 (+.f64 a b) b) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 (+.f64 a b) b) #s(approx (* (+ b a) a) (*.f64 a b))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 #s(approx (* (+ b a) a) (*.f64 a b)) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 a b) b) #s(approx (* (+ b a) a) (*.f64 a b)))))) |
(fma.f64 (+.f64 a b) b #s(approx (* (+ b a) a) (*.f64 a b))) |
(fma.f64 a b (fma.f64 b b #s(approx (* (+ b a) a) (*.f64 a b)))) |
(fma.f64 b (+.f64 a b) #s(approx (* (+ b a) a) (*.f64 a b))) |
(fma.f64 b a (fma.f64 b b #s(approx (* (+ b a) a) (*.f64 a b)))) |
(fma.f64 b b (fma.f64 a b #s(approx (* (+ b a) a) (*.f64 a b)))) |
(-.f64 (/.f64 (pow.f64 #s(approx (* (+ b a) a) (*.f64 a b)) #s(literal 2 binary64)) (-.f64 #s(approx (* (+ b a) a) (*.f64 a b)) (*.f64 (+.f64 a b) b))) (/.f64 (pow.f64 (*.f64 (+.f64 a b) b) #s(literal 2 binary64)) (-.f64 #s(approx (* (+ b a) a) (*.f64 a b)) (*.f64 (+.f64 a b) b)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a b) b) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 a b) b) #s(approx (* (+ b a) a) (*.f64 a b)))) (/.f64 (pow.f64 #s(approx (* (+ b a) a) (*.f64 a b)) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 a b) b) #s(approx (* (+ b a) a) (*.f64 a b))))) |
(+.f64 (+.f64 #s(approx (* (+ b a) a) (*.f64 a b)) (*.f64 b b)) (*.f64 a b)) |
(+.f64 (+.f64 #s(approx (* (+ b a) a) (*.f64 a b)) (*.f64 a b)) (*.f64 b b)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a b) b) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 a b) b) #s(approx (* (+ b a) a) (*.f64 a b)))) (neg.f64 (/.f64 (pow.f64 #s(approx (* (+ b a) a) (*.f64 a b)) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 a b) b) #s(approx (* (+ b a) a) (*.f64 a b)))))) |
(+.f64 (*.f64 (+.f64 a b) b) #s(approx (* (+ b a) a) (*.f64 a b))) |
(+.f64 (*.f64 b b) (fma.f64 a b #s(approx (* (+ b a) a) (*.f64 a b)))) |
(+.f64 #s(approx (* (+ b a) a) (*.f64 a b)) (*.f64 (+.f64 a b) b)) |
(+.f64 (*.f64 a b) (fma.f64 b b #s(approx (* (+ b a) a) (*.f64 a b)))) |
#s(approx (* (+ b a) a) (*.f64 a b)) |
(*.f64 a b) |
(*.f64 b a) |
Compiled 14 190 to 1 473 computations (89.6% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 511 | 0 | 511 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 2 | 2 |
| Total | 511 | 4 | 515 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.4% | (fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a))) |
| ✓ | 100.0% | (fma.f64 b b (*.f64 (+.f64 (+.f64 b a) b) a)) |
| ✓ | 100.0% | (*.f64 (+.f64 a b) (+.f64 a b)) |
| ✓ | 98.0% | #s(approx (* (+ a b) (+ a b)) (*.f64 b b)) |
Compiled 122 to 49 computations (59.8% saved)
| Inputs |
|---|
#s(approx (* (+ a b) (+ a b)) (*.f64 b b)) |
(*.f64 (+.f64 a b) (+.f64 a b)) |
(fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a))) |
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b))) |
(fma.f64 b b (*.f64 (+.f64 (+.f64 b a) b) a)) |
(fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a)) |
(fma.f64 b b (fma.f64 b a (*.f64 (+.f64 b a) a))) |
| Outputs |
|---|
(fma.f64 b b (*.f64 (+.f64 (+.f64 b a) b) a)) |
4 calls:
| 3.0ms | (+.f64 a b) |
| 3.0ms | (*.f64 (+.f64 a b) (+.f64 a b)) |
| 3.0ms | b |
| 3.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | a |
| 100.0% | 1 | b |
| 100.0% | 1 | (*.f64 (+.f64 a b) (+.f64 a b)) |
| 100.0% | 1 | (+.f64 a b) |
Compiled 12 to 11 computations (8.3% saved)
| Inputs |
|---|
#s(approx (* (+ a b) (+ a b)) (*.f64 b b)) |
(*.f64 (+.f64 a b) (+.f64 a b)) |
(fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a))) |
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b))) |
| Outputs |
|---|
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b))) |
4 calls:
| 3.0ms | (+.f64 a b) |
| 2.0ms | (*.f64 (+.f64 a b) (+.f64 a b)) |
| 2.0ms | b |
| 2.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | a |
| 100.0% | 1 | b |
| 100.0% | 1 | (*.f64 (+.f64 a b) (+.f64 a b)) |
| 100.0% | 1 | (+.f64 a b) |
Compiled 12 to 11 computations (8.3% saved)
| Inputs |
|---|
#s(approx (* (+ a b) (+ a b)) (*.f64 b b)) |
(*.f64 (+.f64 a b) (+.f64 a b)) |
(fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a))) |
| Outputs |
|---|
(*.f64 (+.f64 a b) (+.f64 a b)) |
4 calls:
| 2.0ms | (*.f64 (+.f64 a b) (+.f64 a b)) |
| 2.0ms | (+.f64 a b) |
| 2.0ms | b |
| 2.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | a |
| 100.0% | 1 | b |
| 100.0% | 1 | (*.f64 (+.f64 a b) (+.f64 a b)) |
| 100.0% | 1 | (+.f64 a b) |
Compiled 12 to 11 computations (8.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* (+ a b) (+ a b)) (*.f64 b b)) |
| Outputs |
|---|
#s(approx (* (+ a b) (+ a b)) (*.f64 b b)) |
4 calls:
| 47.0ms | b |
| 1.0ms | (*.f64 (+.f64 a b) (+.f64 a b)) |
| 1.0ms | a |
| 1.0ms | (+.f64 a b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 1 | a |
| 98.0% | 1 | b |
| 98.0% | 1 | (*.f64 (+.f64 a b) (+.f64 a b)) |
| 98.0% | 1 | (+.f64 a b) |
Compiled 12 to 11 computations (8.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 45 |
| 1 | 19 | 45 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 b b (*.f64 (+.f64 (+.f64 b a) b) a)) |
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b))) |
(*.f64 (+.f64 a b) (+.f64 a b)) |
#s(approx (* (+ a b) (+ a b)) (*.f64 b b)) |
| Outputs |
|---|
(fma.f64 b b (*.f64 (+.f64 (+.f64 b a) b) a)) |
(fma.f64 b b (*.f64 (+.f64 (+.f64 a b) b) a)) |
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b))) |
(*.f64 (+.f64 a b) (+.f64 a b)) |
#s(approx (* (+ a b) (+ a b)) (*.f64 b b)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 125 |
| 1 | 193 | 125 |
| 2 | 488 | 125 |
| 3 | 1576 | 117 |
| 4 | 3867 | 117 |
| 5 | 6920 | 117 |
| 0 | 8073 | 101 |
| 0 | 4 | 10 |
| 0 | 6 | 8 |
| 1 | 28 | 8 |
| 2 | 220 | 8 |
| 3 | 2817 | 8 |
| 0 | 9151 | 8 |
| 0 | 15 | 81 |
| 0 | 27 | 75 |
| 1 | 125 | 65 |
| 2 | 1120 | 65 |
| 0 | 8446 | 65 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 98 to 40 computations (59.2% saved)
Compiled 194 to 90 computations (53.6% saved)
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