Details

Time bar (total: 6.5s)

sample74.0ms

Algorithm
intervals
Results
22.0ms273×body80nan
19.0ms256×body80valid

simplify40.0ms

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: 4.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
2.3b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
7.2b
(/ (* z (sqrt (+ t a))) t)

rewrite72.0ms

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:
12.0ms
(* z (sqrt (+ t a)))
3.0ms
(/ 2.0 (* t 3.0))
41.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.0ms
(/ (* z (sqrt (+ t a))) t)

series345.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(* z (sqrt (+ t a)))
16.0ms
(/ 2.0 (* t 3.0))
181.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
82.0ms
(/ (* z (sqrt (+ t a))) t)

simplify54.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
013772637
150012324

prune943.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
0.3b
(/ 2.0 (* t 3.0))
6.5b
(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- b c))))

rewrite20.0ms

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:
12.0ms
(* 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))))

series299.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* z (sqrt (+ t a)))
16.0ms
(/ 2.0 (* t 3.0))
19.0ms
(/ 2.0 (* t 3.0))
203.0ms
(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- b c))))

simplify51.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0391525
11414450
25001441

prune542.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (sqrt (+ t a)) t)
0.3b
(/ 2.0 (* t 3.0))
0.3b
(/ 2.0 (* t 3.0))
4.0b
(fma z (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity
27×times-frac
24×add-sqr-sqrt add-cube-cbrt
16×add-exp-log sqrt-prod add-cbrt-cube
13×associate-/l*
5×cbrt-undiv div-exp associate-/r*
4×pow1 expm1-log1p-u log1p-expm1-u distribute-lft-out add-log-exp
3×frac-2neg clear-num div-inv
2×sqrt-div prod-exp cbrt-unprod associate-/l/
1×flip3-+ flip-+ fma-udef
Counts
4 → 103
Calls
4 calls:
11.0ms
(/ (sqrt (+ t a)) t)
3.0ms
(/ 2.0 (* t 3.0))
3.0ms
(/ 2.0 (* t 3.0))
0.0ms
(fma z (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

series304.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(/ (sqrt (+ t a)) t)
16.0ms
(/ 2.0 (* t 3.0))
16.0ms
(/ 2.0 (* t 3.0))
211.0ms
(fma z (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

simplify40.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0378688
11172613
25001603

prune619.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b)))))
0.0b
(- (* 0.8333333333333334 c) (* a b))
0.0b
(* y (exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b))))))
0.5b
(fma c a (- (* 0.8333333333333334 c) (* a b)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt add-log-exp
6×pow1 add-cube-cbrt *-un-lft-identity add-cbrt-cube
5×add-exp-log associate-*r* fma-udef
4×expm1-log1p-u exp-sum log1p-expm1-u
3×associate-*l*
2×distribute-rgt-in distribute-lft-in
1×sub-neg exp-prod flip3-- exp-to-pow fma-neg diff-log prod-diff pow-prod-down prod-exp *-commutative flip-- cbrt-unprod rem-exp-log unswap-sqr
Counts
4 → 62
Calls
4 calls:
1.0ms
(exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b)))))
3.0ms
(- (* 0.8333333333333334 c) (* a b))
6.0ms
(* y (exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b))))))
0.0ms
(fma c a (- (* 0.8333333333333334 c) (* a b)))

series189.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b)))))
44.0ms
(- (* 0.8333333333333334 c) (* a b))
65.0ms
(* y (exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b))))))
44.0ms
(fma c a (- (* 0.8333333333333334 c) (* a b)))

simplify83.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (76.0ms)

IterNodesCost
0248499
1823438
23345438
35001430

prune257.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes308.0ms

Accuracy

-14.3% (1.8b remaining)

Error of 2.1b against oracle of 0.4b and baseline of 1.9b

bsearch356.0ms

Steps
ItersRangePoint
7
1.380535628283313e-236
2.623890731806373e-235
1.0636242143849475e-235
9
-1.4555800679571603e-159
-6.785262466395628e-165
-7.569483428812749e-163

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08562
18762
28762

end0.0ms

sample1.8s

Algorithm
intervals
Results
585.0ms8000×body80valid
561.0ms7980×body80nan