Details

Time bar (total: 4.9s)

sample43.0ms

Algorithm
intervals
Results
14.0ms272×body80valid
14.0ms229×body80nan

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0215
1475
2715
31035
41245
51385
61485
71485

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b
(* y (sqrt z))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×associate-*r*
4×add-cube-cbrt *-un-lft-identity sqrt-prod
3×pow1 add-exp-log associate-*l* add-cbrt-cube
2×unswap-sqr
1×pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp
Counts
1 → 22
Calls
1 calls:
4.0ms
(* y (sqrt z))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(* y (sqrt z))

simplify85.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0148113
1603100
2285094
3500194

prune162.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (fabs (cbrt z)) y)
0.3b
(* (* (fabs (cbrt z)) y) (sqrt (cbrt z)))
0.5b
(cbrt z)
0.5b
(cbrt z)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*r*
11×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×cbrt-prod
6×sqrt-prod
4×associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×pow1/3 *-commutative
1×unswap-sqr
Counts
4 → 64
Calls
4 calls:
3.0ms
(* (fabs (cbrt z)) y)
9.0ms
(* (* (fabs (cbrt z)) y) (sqrt (cbrt z)))
0.0ms
(cbrt z)
1.0ms
(cbrt z)

series56.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (fabs (cbrt z)) y)
28.0ms
(* (* (fabs (cbrt z)) y) (sqrt (cbrt z)))
10.0ms
(cbrt z)
10.0ms
(cbrt z)

simplify90.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0210392
1952345
23745339
35001334

prune553.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sqrt z)) (cbrt (sqrt z)))
0.5b
(cbrt z)
0.6b
(cbrt (sqrt z))
0.6b
(cbrt (sqrt z))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
55×cbrt-prod
43×add-sqr-sqrt
26×sqrt-prod
21×add-cube-cbrt *-un-lft-identity
11×pow1 swap-sqr
9×pow1/3 associate-*r* associate-*l* unswap-sqr
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
10.0ms
(* (cbrt (sqrt z)) (cbrt (sqrt z)))
0.0ms
(cbrt z)
1.0ms
(cbrt (sqrt z))
1.0ms
(cbrt (sqrt z))

series35.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (cbrt (sqrt z)) (cbrt (sqrt z)))
10.0ms
(cbrt z)
8.0ms
(cbrt (sqrt z))
8.0ms
(cbrt (sqrt z))

simplify108.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (102.0ms)

IterNodesCost
0166646
1604603
23210550
35002487

prune817.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.6b
(cbrt (* (cbrt z) (cbrt z)))
0.6b
(cbrt (cbrt z))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 45
Calls
4 calls:
0.0ms
(cbrt z)
0.0ms
(cbrt z)
2.0ms
(cbrt (* (cbrt z) (cbrt z)))
1.0ms
(cbrt (cbrt z))

series47.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(cbrt z)
9.0ms
(cbrt z)
16.0ms
(cbrt (* (cbrt z) (cbrt z)))
12.0ms
(cbrt (cbrt z))

simplify107.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 4 (104.0ms)

IterNodesCost
0106215
1236195
2753185
33141185
45001180

prune630.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes791.0ms

Accuracy

0% (0.1b 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
0135
1135

end0.0ms

sample1.3s

Algorithm
intervals
Results
445.0ms8509×body80valid
440.0ms8687×body80nan