Details

Time bar (total: 5.7s)

sample36.0ms

Algorithm
intervals
Results
16.0ms385×body80valid

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (12.0ms)

IterNodesCost
0337
1737
21537
32907
45466
58926
612806
717816
821656
924296
1024296

prune9.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma y x (fma (- (/ a 4.0)) b c))
0.0b
(fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c)))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
2×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
2 → 20
Calls
2 calls:
0.0ms
(fma y x (fma (- (/ a 4.0)) b c))
0.0ms
(fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c)))

series431.0ms

Counts
2 → 6
Calls
2 calls:
279.0ms
(fma y x (fma (- (/ a 4.0)) b c))
152.0ms
(fma z (/ t 16.0) (fma y x (fma (- (/ a 4.0)) b c)))

simplify83.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
076172
1185146
2562146
33117146
45002146

prune101.0ms

Filtered
26 candidates to 24 candidates (92.3%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
0.0b
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
0.0b
(+ (* x y) (/ (* z t) 16.0))

rewrite204.0ms

Algorithm
rewrite-expression-head
Rules
42×prod-diff
40×*-un-lft-identity
35×add-sqr-sqrt
31×add-cube-cbrt
24×associate-+l+
19×add-log-exp
18×times-frac
6×fma-def sum-log div-inv
4×diff-log
3×pow1 add-exp-log expm1-log1p-u flip3-+ fma-neg add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out--
2×+-commutative sub-neg associate--l+ frac-sub distribute-lft-out difference-of-squares
1×associate-+l- flip3-- flip--
Counts
3 → 105
Calls
3 calls:
150.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
45.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
5.0ms
(+ (* x y) (/ (* z t) 16.0))

series260.0ms

Counts
3 → 9
Calls
3 calls:
138.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
81.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
41.0ms
(+ (* x y) (/ (* z t) 16.0))

simplify59.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
04591430
117481106
250021027

prune347.0ms

Filtered
114 candidates to 86 candidates (75.4%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ (* a b) 4.0)) (cbrt (/ (* a b) 4.0)))
7.1b
(cbrt (/ (* a b) 4.0))
7.1b
(cbrt (/ (* a b) 4.0))
7.1b
(cbrt (/ (* a b) 4.0))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
53×cbrt-prod
30×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
21×times-frac
11×pow1
10×swap-sqr associate-*r* associate-*l*
9×pow1/3
7×cbrt-div div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 111
Calls
4 calls:
15.0ms
(* (cbrt (/ (* a b) 4.0)) (cbrt (/ (* a b) 4.0)))
2.0ms
(cbrt (/ (* a b) 4.0))
2.0ms
(cbrt (/ (* a b) 4.0))
2.0ms
(cbrt (/ (* a b) 4.0))

series429.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(* (cbrt (/ (* a b) 4.0)) (cbrt (/ (* a b) 4.0)))
97.0ms
(cbrt (/ (* a b) 4.0))
99.0ms
(cbrt (/ (* a b) 4.0))
98.0ms
(cbrt (/ (* a b) 4.0))

simplify129.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0260880
1900829
24512757
35001757

prune634.0ms

Filtered
123 candidates to 101 candidates (82.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ b (cbrt 4.0)))
1.0b
(* (cbrt 4.0) (cbrt 4.0))
7.1b
(cbrt (/ (* a b) 4.0))
7.1b
(cbrt (/ (* a b) 4.0))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
61×cbrt-prod
37×add-sqr-sqrt
29×add-cube-cbrt *-un-lft-identity
24×times-frac
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
3×cbrt-div div-inv
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 111
Calls
4 calls:
2.0ms
(cbrt (/ b (cbrt 4.0)))
6.0ms
(* (cbrt 4.0) (cbrt 4.0))
2.0ms
(cbrt (/ (* a b) 4.0))
5.0ms
(cbrt (/ (* a b) 4.0))

series518.0ms

Counts
4 → 10
Calls
4 calls:
322.0ms
(cbrt (/ b (cbrt 4.0)))
0.0ms
(* (cbrt 4.0) (cbrt 4.0))
97.0ms
(cbrt (/ (* a b) 4.0))
98.0ms
(cbrt (/ (* a b) 4.0))

simplify61.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 3 (53.0ms)

IterNodesCost
0298717
1777681
22501636
35001627

prune748.0ms

Filtered
121 candidates to 91 candidates (75.2%)
Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes430.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0176
1176

end0.0ms

sample979.0ms

Algorithm
intervals
Results
517.0ms12016×body80valid