Details

Time bar (total: 3.9s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0143
1193
2213
3233
4253
5263
6263

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

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))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))

simplify69.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03053
15446
216146
360746
4268746
5500346

prune28.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
0.8b
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.8b
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.8b
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

rewrite10.0ms

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:
6.0ms
(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
0.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

series517.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
124.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
125.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
123.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

simplify46.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03751093
113761017
25002880

prune244.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.8b
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.8b
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.8b
(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)

rewrite6.0ms

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:
0.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
3.0ms
(pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 4)

series590.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
128.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
124.0ms
(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 (36.0ms)

IterNodesCost
0395889
11410835
25001742

prune311.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.8b
(* (cbrt (pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 4)) (cbrt (pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 4)))
1.0b
(pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 4)
1.0b
(pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 4)
1.0b
(pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 4)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
211×cbrt-prod
99×unpow-prod-down
96×add-sqr-sqrt
36×add-cube-cbrt *-un-lft-identity unswap-sqr
19×sqr-pow
16×swap-sqr associate-*r* associate-*l*
14×pow1
9×add-exp-log pow-unpow pow1/3
6×pow-pow
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-to-exp pow-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 182
Calls
4 calls:
28.0ms
(* (cbrt (pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 4)) (cbrt (pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 4)))
2.0ms
(pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 4)
2.0ms
(pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 4)
3.0ms
(pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 4)

series809.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(* (cbrt (pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 4)) (cbrt (pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 4)))
213.0ms
(pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 4)
209.0ms
(pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 4)
213.0ms
(pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 4)

simplify80.0ms

Algorithm
egg-herbie
Counts
194 → 194
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05443564
119333314
250013057

prune672.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes43.0ms

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

sample244.0ms

Algorithm
intervals
Results
155.0ms8011×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid