Details

Time bar (total: 6.1s)

sample29.0ms

Algorithm
intervals
Results
7.0ms276×body80valid
7.0ms280×body80nan

simplify20.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0215
1514
2864
31264
41514
51694
61854
71874
81874

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (sqrt z) y x)

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 (sqrt z) y x)

series64.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(fma (sqrt z) y x)

simplify61.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 4 (59.0ms)

IterNodesCost
07058
117650
252850
3181346
4500143

prune41.0ms

Filtered
13 candidates to 12 candidates (92.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (sqrt z) y x))
0.6b
(cbrt (fma (sqrt z) y x))
0.6b
(cbrt (fma (sqrt z) y x))
0.6b
(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))

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:
0.0ms
(cbrt (fma (sqrt z) y x))
0.0ms
(cbrt (fma (sqrt z) y x))
0.0ms
(cbrt (fma (sqrt z) y x))
6.0ms
(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))

series1.2s

Counts
4 → 12
Calls
4 calls:
319.0ms
(cbrt (fma (sqrt z) y x))
308.0ms
(cbrt (fma (sqrt z) y x))
315.0ms
(cbrt (fma (sqrt z) y x))
231.0ms
(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))

simplify43.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0318868
11133805
25001760

prune313.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (sqrt z) y x))
0.6b
(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
0.6b
(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
0.6b
(cbrt (cbrt (fma (sqrt z) y x)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
29×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 → 82
Calls
4 calls:
0.0ms
(cbrt (fma (sqrt z) y x))
6.0ms
(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
2.0ms
(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
1.0ms
(cbrt (cbrt (fma (sqrt z) y x)))

series1.1s

Counts
4 → 12
Calls
4 calls:
325.0ms
(cbrt (fma (sqrt z) y x))
230.0ms
(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
243.0ms
(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
323.0ms
(cbrt (cbrt (fma (sqrt z) y x)))

simplify53.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0531961
11855895
25001838

prune571.0ms

Filtered
94 candidates to 74 candidates (78.7%)
Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
0.6b
(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
0.6b
(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
0.6b
(cbrt (cbrt (fma (sqrt z) y x)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
27×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 → 80
Calls
4 calls:
5.0ms
(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
2.0ms
(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
2.0ms
(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
1.0ms
(cbrt (cbrt (fma (sqrt z) y x)))

series1.0s

Counts
4 → 12
Calls
4 calls:
235.0ms
(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
248.0ms
(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
238.0ms
(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
305.0ms
(cbrt (cbrt (fma (sqrt z) y x)))

simplify46.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04321006
11499930
25001872

prune400.0ms

Filtered
92 candidates to 74 candidates (80.4%)
Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

regimes280.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104
1104

end0.0ms

sample808.0ms

Algorithm
intervals
Results
224.0ms8781×body80nan
224.0ms8536×body80valid