Details

Time bar (total: 5.7s)

sample63.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
15.0ms223×body80nan

simplify39.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05017
110817
238917
3176117
4500217

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.5b
(/ 2.0 (* t 3.0))
1.7b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
4.3b
(/ (* z (sqrt (+ t a))) t)

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
75×*-un-lft-identity
63×prod-diff
62×associate--r+
49×add-sqr-sqrt
45×add-cube-cbrt
36×times-frac
31×distribute-rgt-in distribute-lft-in
20×frac-sub
16×add-exp-log add-cbrt-cube
15×distribute-lft-out
12×div-inv
9×flip3-- flip--
8×frac-times associate-*r/
7×fma-neg associate-*r*
6×pow1 add-log-exp
5×flip3-+ sqrt-prod flip-+
4×cbrt-undiv expm1-log1p-u sqrt-div div-exp associate-/r* log1p-expm1-u associate-/l*
3×sub-neg associate-*l* prod-exp cbrt-unprod
2×frac-2neg associate-*l/ associate--l+ clear-num associate-/l/ unswap-sqr
1×diff-log pow-prod-down *-commutative
Counts
4 → 179
Calls
4 calls:
15.0ms
(* z (sqrt (+ t a)))
3.0ms
(/ 2.0 (* t 3.0))
37.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.0ms
(/ (* z (sqrt (+ t a))) t)

series322.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* z (sqrt (+ t a)))
15.0ms
(/ 2.0 (* t 3.0))
169.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
77.0ms
(/ (* z (sqrt (+ t a))) t)

simplify51.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
013772637
150012324

prune878.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.5b
(/ 2.0 (* t 3.0))
0.5b
(/ 2.0 (* t 3.0))
4.0b
(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- b c))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
15×add-sqr-sqrt
13×*-un-lft-identity
11×add-cube-cbrt
7×associate-*r*
6×pow1 times-frac associate-/l*
5×sqrt-prod
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×associate-*l* prod-exp cbrt-unprod
2×frac-2neg sqrt-div associate-*r/ clear-num associate-/r* div-inv unswap-sqr
1×flip3-+ pow-prod-down *-commutative flip-+ fma-udef distribute-lft-out
Counts
4 → 83
Calls
4 calls:
11.0ms
(* z (sqrt (+ t a)))
3.0ms
(/ 2.0 (* t 3.0))
3.0ms
(/ 2.0 (* t 3.0))
0.0ms
(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- b c))))

series279.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* z (sqrt (+ t a)))
18.0ms
(/ 2.0 (* t 3.0))
15.0ms
(/ 2.0 (* t 3.0))
187.0ms
(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- b c))))

simplify43.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0391525
11414450
25001441

prune509.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x (* y (exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b))))))))
0.0b
(* y (exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b))))))
0.0b
(exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b)))))
1.0b
(fma c a (- (* 0.8333333333333334 c) (* a b)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
9×times-frac
8×add-cbrt-cube
7×add-exp-log
6×pow1 add-log-exp
5×associate-*r* fma-udef
4×expm1-log1p-u exp-sum log1p-expm1-u
3×associate-*l* associate-/r* associate-/l*
2×distribute-rgt-in distribute-lft-in associate-/r/
1×cbrt-undiv exp-prod exp-to-pow frac-2neg flip3-+ div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod flip-+ div-inv rem-exp-log unswap-sqr
Counts
4 → 77
Calls
4 calls:
4.0ms
(/ x (+ x (* y (exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b))))))))
5.0ms
(* y (exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b))))))
1.0ms
(exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b)))))
0.0ms
(fma c a (- (* 0.8333333333333334 c) (* a b)))

series237.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(/ x (+ x (* y (exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b))))))))
64.0ms
(* y (exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b))))))
34.0ms
(exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b)))))
40.0ms
(fma c a (- (* 0.8333333333333334 c) (* a b)))

simplify124.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 3 (115.0ms)

IterNodesCost
0278861
1987781
24339773
35001770

prune282.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y (fma 1.6666666666666667 c (fma 1.388888888888889 (pow c 2) 1))))
0.1b
(fma 1.388888888888889 (pow c 2) 1)
3.2b
(/ x (+ x (* y (fma 1.6666666666666667 c (fma 1.388888888888889 (pow c 2) 1)))))
5.0b
(* y (fma 1.6666666666666667 c (fma 1.388888888888889 (pow c 2) 1)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
9×times-frac
8×add-exp-log add-cbrt-cube
6×pow1 add-log-exp
5×fma-udef
4×expm1-log1p-u log1p-expm1-u
3×fma-def associate-*r* associate-*l* associate-/r* associate-/l*
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-/r/ flip-+
1×cbrt-undiv +-commutative frac-2neg div-exp pow-prod-down prod-exp clear-num sum-log *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 81
Calls
4 calls:
2.0ms
(+ x (* y (fma 1.6666666666666667 c (fma 1.388888888888889 (pow c 2) 1))))
0.0ms
(fma 1.388888888888889 (pow c 2) 1)
4.0ms
(/ x (+ x (* y (fma 1.6666666666666667 c (fma 1.388888888888889 (pow c 2) 1)))))
3.0ms
(* y (fma 1.6666666666666667 c (fma 1.388888888888889 (pow c 2) 1)))

series358.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(+ x (* y (fma 1.6666666666666667 c (fma 1.388888888888889 (pow c 2) 1))))
46.0ms
(fma 1.388888888888889 (pow c 2) 1)
188.0ms
(/ x (+ x (* y (fma 1.6666666666666667 c (fma 1.388888888888889 (pow c 2) 1)))))
49.0ms
(* y (fma 1.6666666666666667 c (fma 1.388888888888889 (pow c 2) 1)))

simplify37.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0260653
11031582
25002579

prune273.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes210.0ms

Accuracy

0% (1.9b remaining)

Error of 2.3b against oracle of 0.5b and baseline of 2.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05029
15229
25229

end0.0ms

sample1.7s

Algorithm
intervals
Results
592.0ms8000×body80valid
533.0ms7722×body80nan