Details

Time bar (total: 3.3s)

sample12.0ms

Algorithm
intervals
Results
5.0ms257×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0143
1193
2213
3233
4253
5263
6263

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (/ 841.0 108.0) x (/ 4.0 29.0))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×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
1 → 10
Calls
1 calls:
0.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))

simplify67.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03053
15446
216146
360746
4268746
5500346

prune32.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.7b
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.7b
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.7b
(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
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
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
1.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
12.0ms
(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

series494.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
116.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
116.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
139.0ms
(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

simplify44.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03751093
113841017
25001880

prune268.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.7b
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.7b
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0b
(pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 4)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
5×pow1 add-exp-log
4×expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-unpow
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 65
Calls
4 calls:
1.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
5.0ms
(pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 4)

series578.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
117.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
121.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
213.0ms
(pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 4)

simplify46.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0395889
11410835
25001742

prune326.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.7b
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.7b
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.7b
(* (* (* (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))) (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
19×pow1/3
15×pow1
13×add-exp-log
12×cbrt-prod
10×add-cube-cbrt
9×add-sqr-sqrt *-un-lft-identity pow-prod-down
8×pow-prod-up
6×associate-*r* prod-exp add-cbrt-cube cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow-plus pow-sqr
1×swap-sqr associate-*l* *-commutative
Counts
4 → 71
Calls
4 calls:
1.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
114.0ms
(* (* (* (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))) (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

series540.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
121.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
142.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
147.0ms
(* (* (* (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))) (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

simplify57.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04391367
117411109
25001974

prune284.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes52.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083

end0.0ms

sample273.0ms

Algorithm
intervals
Results
157.0ms8010×body80valid
0.0ms3×body1280valid
0.0ms1×body640valid