Details

Time bar (total: 3.3s)

sample12.0ms

Algorithm
intervals
Results
6.0ms257×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

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

series33.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(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

prune29.0ms

Filtered
13 candidates to 11 candidates (84.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New10313
Fresh000
Picked011
Done000
Total10414

Merged error: 0.1b

Counts
14 → 4

localize9.0ms

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))))

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:
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
(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

series517.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
142.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
117.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
142.0ms
(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

simplify51.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03751093
113841017
25001880

prune223.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New90393
Fresh022
Picked011
Done011
Total90797

Merged error: 0.0b

Counts
97 → 7

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 (* (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))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
0.9b
(pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 4)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
29×cbrt-prod
25×add-sqr-sqrt
17×add-cube-cbrt *-un-lft-identity
12×pow1
9×unpow-prod-down pow1/3
7×add-exp-log
6×swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
3×pow-unpow
2×pow-pow pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-to-exp pow-plus pow-exp prod-exp *-commutative cbrt-unprod sqr-pow
Counts
4 → 92
Calls
4 calls:
1.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
4.0ms
(cbrt (* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
5.0ms
(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
4.0ms
(pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 4)

series612.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(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 (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
143.0ms
(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
199.0ms
(pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 4)

simplify72.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
07071279
126771185
250011125

prune327.0ms

Filtered
104 candidates to 79 candidates (76.0%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1013104
Fresh044
Picked011
Done022
Total10110111

Merged error: 0.0b

Counts
111 → 10

localize17.0ms

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
23×cbrt-prod
22×add-sqr-sqrt
14×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 → 79
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)))
4.0ms
(cbrt (* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
9.0ms
(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

series549.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
122.0ms
(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 (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
158.0ms
(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

simplify54.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
05011148
118271061
25002919

prune335.0ms

Filtered
91 candidates to 72 candidates (79.1%)
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New90191
Fresh156
Picked011
Done033
Total9110101

Merged error: 0.0b

Counts
101 → 10

regimes35.0ms

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

sample283.0ms

Algorithm
intervals
Results
200.0ms8010×body80valid
0.0ms3×body1280valid
0.0ms1×body320valid