Details

Time bar (total: 3.4s)

sample19.0ms

Algorithm
intervals
Results
12.0ms257×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

localize8.0ms

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))

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))

simplify66.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03053
15446
216146
360746
4268746
5500346

prune33.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

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))))
0.7b
(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)))

rewrite9.0ms

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:
5.0ms
(* (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)))

series523.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (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)))
123.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

simplify45.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03751093
113761017
25002880

prune258.0ms

Pruning

7 alts after pruning (6 fresh and 1 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)))
0.7b
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
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)))
1.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

series510.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
126.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
133.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
126.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

simplify61.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (53.0ms)

IterNodesCost
0188736
1605688
22286600
35001576

prune284.0ms

Pruning

7 alts after pruning (5 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)))
0.8b
(cbrt (* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 50
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
(cbrt (* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))

series545.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
126.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
133.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
156.0ms
(cbrt (* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))

simplify100.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 3 (92.0ms)

IterNodesCost
0334791
11115732
24339641
35001620

prune256.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes25.0ms

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

sample542.0ms

Algorithm
intervals
Results
435.0ms8006×body80valid
1.0ms3×body1280valid
0.0ms1×body320valid
0.0ms1×body640valid