Details

Time bar (total: 3.5s)

sample21.0ms

Algorithm
intervals
Results
9.0ms316×body80valid

simplify104.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

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: 4.0b

localize4.0ms

Local error

Found 1 expressions with local error:

3.9b
(* 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:
7.0ms
(* x (/ y z))

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(* x (/ y z))

simplify81.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0168139
1746124
23155124
35002124

prune99.0ms

Filtered
37 candidates to 26 candidates (70.3%)
Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
1.3b
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

rewrite24.0ms

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)
0.0ms
(cbrt y)
1.0ms
(cbrt y)
21.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

series645.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(cbrt y)
185.0ms
(cbrt y)
183.0ms
(cbrt y)
84.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

simplify47.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0308503
11346407
25002368

prune263.0ms

Filtered
83 candidates to 65 candidates (78.3%)
Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

3.9b
(* x (/ y z))
12.8b
(cbrt (* x (/ y z)))
12.8b
(cbrt (* x (/ y z)))
12.8b
(cbrt (* x (/ y z)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×add-cube-cbrt *-un-lft-identity
10×times-frac
9×add-exp-log add-cbrt-cube
6×pow1
4×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
3×cbrt-prod cbrt-div pow1/3 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down *-commutative div-inv
Counts
4 → 70
Calls
4 calls:
7.0ms
(* x (/ y z))
3.0ms
(cbrt (* x (/ y z)))
3.0ms
(cbrt (* x (/ y z)))
3.0ms
(cbrt (* x (/ y z)))

series291.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* x (/ y z))
85.0ms
(cbrt (* x (/ y z)))
91.0ms
(cbrt (* x (/ y z)))
88.0ms
(cbrt (* x (/ y z)))

simplify97.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0234388
1941340
23868313
35002313

prune242.0ms

Filtered
82 candidates to 62 candidates (75.6%)
Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

1.3b
(* x (* (cbrt (/ y z)) (cbrt (/ y z))))
10.3b
(cbrt (/ y z))
10.3b
(cbrt (/ y z))
10.3b
(cbrt (/ y z))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
27×add-sqr-sqrt times-frac
26×add-cube-cbrt *-un-lft-identity
9×pow1 add-exp-log
7×cbrt-div add-cbrt-cube
4×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod div-inv
1×frac-times associate-*r* associate-*l/ *-commutative unswap-sqr
Counts
4 → 96
Calls
4 calls:
18.0ms
(* x (* (cbrt (/ y z)) (cbrt (/ y z))))
1.0ms
(cbrt (/ y z))
2.0ms
(cbrt (/ y z))
2.0ms
(cbrt (/ y z))

series308.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(* x (* (cbrt (/ y z)) (cbrt (/ y z))))
76.0ms
(cbrt (/ y z))
67.0ms
(cbrt (/ y z))
70.0ms
(cbrt (/ y z))

simplify64.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 3 (56.0ms)

IterNodesCost
0245653
1590600
21622590
35001555

prune321.0ms

Filtered
108 candidates to 89 candidates (82.4%)
Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

regimes238.0ms

Accuracy

0% (2.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01312
11312

end0.0ms

sample507.0ms

Algorithm
intervals
Results
270.0ms9663×body80valid