Details

Time bar (total: 2.9s)

sample11.0ms

Algorithm
intervals
Results
5.0ms257×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0143
1193
2213
3233
4253
5263
6263

prune4.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1

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:
1.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(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

prune32.0ms

Filtered
13 candidates to 11 candidates (84.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New11213
Fresh000
Picked011
Done000
Total11314

Merged error: 0.1b

Counts
14 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.1b
(fma (/ 841.0 108.0) x (/ 4.0 29.0))
0.1b
(fma (/ 841.0 108.0) x (/ 4.0 29.0))
0.1b
(* (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×sqrt-prod
20×pow1
13×add-cube-cbrt *-un-lft-identity
9×sqrt-pow1 pow1/2
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×fma-udef
1×pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 86
Calls
4 calls:
1.0ms
(sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))
1.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))
6.0ms
(* (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

series142.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
34.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))
32.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))
37.0ms
(* (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

simplify167.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0177530
1705457
24112433
35001433

prune174.0ms

Filtered
98 candidates to 58 candidates (59.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New95398
Fresh011
Picked011
Done011
Total956101

Merged error: 0.0b

Counts
101 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
0.2b
(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
0.2b
(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
0.2b
(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
58×cbrt-prod
44×add-sqr-sqrt
29×sqrt-prod
22×add-cube-cbrt *-un-lft-identity
11×pow1 swap-sqr
9×pow1/3 associate-*r* associate-*l* unswap-sqr
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 106
Calls
4 calls:
8.0ms
(* (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
2.0ms
(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
2.0ms
(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
2.0ms
(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

series478.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(* (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
118.0ms
(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
120.0ms
(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
117.0ms
(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

simplify48.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03781658
113621561
250011407

prune321.0ms

Filtered
118 candidates to 79 candidates (66.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1153118
Fresh123
Picked101
Done022
Total1177124

Merged error: 0.0b

Counts
124 → 7

localize24.0ms

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)))

rewrite12.0ms

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))))
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)))

series536.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
131.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
137.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
123.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

simplify42.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
03751093
113761017
25002880

prune430.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New92193
Fresh044
Picked011
Done022
Total928100

Merged error: 0.0b

Counts
100 → 8

regimes37.0ms

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

sample256.0ms

Algorithm
intervals
Results
165.0ms8000×body80valid
0.0ms2×body1280valid
0.0ms2×body640valid