Details

Time bar (total: 3.4s)

sample12.0ms

Algorithm
intervals
Results
5.0ms256×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 (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(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))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))

simplify65.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03053
15446
216146
360746
4268746
5500146

prune29.0ms

Filtered
13 candidates to 11 candidates (15.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New10313
Fresh000
Picked011
Done000
Total10414

Merged error: 0.0b

Counts
14 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.8b
(* (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)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
8×add-cbrt-cube
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative
Counts
4 → 84
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)))

series554.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
132.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
136.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
129.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

simplify47.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03841158
114241059
25001895

prune214.0ms

Filtered
96 candidates to 72 candidates (25.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New95196
Fresh022
Picked011
Done011
Total955100

Merged error: 0.0b

Counts
100 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

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

series162.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
35.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))
40.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))
38.0ms
(* (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

simplify175.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0176525
1648457
24028433
35001433

prune145.0ms

Filtered
98 candidates to 57 candidates (41.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New97198
Fresh022
Picked011
Done022
Total976103

Merged error: 0.0b

Counts
103 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
657×add-sqr-sqrt
389×unswap-sqr
345×cbrt-prod
336×sqrt-prod
85×swap-sqr
75×associate-*l*
73×associate-*r*
43×pow1
39×*-un-lft-identity
35×add-cube-cbrt
28×add-cbrt-cube
21×cbrt-unprod
17×pow-prod-down
16×add-exp-log
8×prod-exp
5×*-commutative
4×expm1-log1p-u pow-sqr pow-prod-up log1p-expm1-u add-log-exp
3×pow1/3
2×pow-plus
1×pow2
Counts
4 → 321
Calls
4 calls:
39.0ms
(* (* (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (sqrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))) (* (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (sqrt (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)))

series578.0ms

Counts
4 → 12
Calls
4 calls:
160.0ms
(* (* (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (sqrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))) (* (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (sqrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))))
148.0ms
(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)))

simplify391.0ms

Algorithm
egg-herbie
Counts
333 → 333
Iterations

Useful iterations: 2 (115.0ms)

IterNodesCost
08319835
143958721
250018565

prune505.0ms

Filtered
333 candidates to 133 candidates (60.1%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New3330333
Fresh022
Picked011
Done033
Total3336339

Merged error: 0.0b

Counts
339 → 6

regimes24.0ms

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

sample262.0ms

Algorithm
intervals
Results
170.0ms8009×body80valid
0.0ms4×body1280valid
0.0ms2×body320valid
0.0ms1×body640valid
0.0ms1×body160valid