Details

Time bar (total: 4.8s)

sample20.0ms

Algorithm
intervals
Results
8.0ms310×body80valid

simplify101.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
0164
1423
21092
35772
444382
550012

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.6b

localize5.0ms

Local error

Found 1 expressions with local error:

6.4b
(* x (/ y z))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv expm1-log1p-u associate-*r/ div-exp pow-prod-down *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
8.0ms
(* x (/ y z))

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(* x (/ y z))

simplify84.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0168139
1746124
23155124
35002124

prune96.0ms

Filtered
37 candidates to 26 candidates (70.3%)
Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
1.7b
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-cbrt-cube
12×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
6×pow1
5×associate-*r*
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×pow1/3 associate-*l*
2×times-frac unswap-sqr
1×associate-*r/ pow-prod-down *-commutative div-inv
Counts
4 → 71
Calls
4 calls:
0.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
24.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

series685.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(cbrt y)
199.0ms
(cbrt y)
201.0ms
(cbrt y)
89.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

simplify61.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0308503
11346407
25002368

prune295.0ms

Filtered
83 candidates to 65 candidates (78.3%)
Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt (cbrt y))
1.7b
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
15×cbrt-prod
14×add-cbrt-cube
13×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
9×prod-exp cbrt-unprod
6×pow1
5×associate-*r*
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×pow1/3 associate-*l*
2×times-frac unswap-sqr
1×associate-*r/ pow-prod-down *-commutative div-inv
Counts
4 → 74
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt (cbrt y))
20.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

series802.0ms

Counts
4 → 12
Calls
4 calls:
205.0ms
(cbrt y)
219.0ms
(cbrt y)
281.0ms
(cbrt (cbrt y))
97.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

simplify54.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0341540
11408442
25002403

prune335.0ms

Filtered
86 candidates to 69 candidates (80.2%)
Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt y))
0.6b
(cbrt (cbrt y))
0.6b
(cbrt (cbrt y))
1.7b
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
27×cbrt-prod
22×add-exp-log
15×add-sqr-sqrt
14×add-cbrt-cube
12×add-cube-cbrt *-un-lft-identity
9×prod-exp cbrt-unprod
6×pow1
5×associate-*r*
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×pow1/3 associate-*l*
2×times-frac unswap-sqr
1×associate-*r/ pow-prod-down *-commutative div-inv
Counts
4 → 80
Calls
4 calls:
1.0ms
(cbrt (cbrt y))
1.0ms
(cbrt (cbrt y))
1.0ms
(cbrt (cbrt y))
24.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

series900.0ms

Counts
4 → 12
Calls
4 calls:
270.0ms
(cbrt (cbrt y))
272.0ms
(cbrt (cbrt y))
263.0ms
(cbrt (cbrt y))
94.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

simplify50.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0324614
11324524
25002486

prune343.0ms

Filtered
92 candidates to 75 candidates (81.5%)
Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0.0b

regimes226.0ms

Accuracy

0% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01312
11312

end0.0ms

sample526.0ms

Algorithm
intervals
Results
271.0ms9584×body80valid