Details

Time bar (total: 3.3s)

sample28.0ms

Algorithm
intervals
Results
7.0ms272×body80valid
6.0ms229×body80nan

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0215
1514
2864
31264
41514
51694
61854
71874
81874

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b
(* y (sqrt z))

rewrite6.0ms

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×expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp
Counts
1 → 24
Calls
1 calls:
5.0ms
(* y (sqrt z))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(* y (sqrt z))

simplify92.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0154119
1621106
23007100
35001100

prune68.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

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)

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(fma (sqrt z) y x)

simplify63.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 4 (60.0ms)

IterNodesCost
07058
117650
252850
3181346
4500143

prune47.0ms

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)

rewrite17.0ms

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×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×pow1/3 *-commutative
1×unswap-sqr
Counts
4 → 72
Calls
4 calls:
3.0ms
(* (fabs (cbrt z)) y)
9.0ms
(* (* (fabs (cbrt z)) y) (sqrt (cbrt z)))
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series486.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (fabs (cbrt z)) y)
123.0ms
(* (* (fabs (cbrt z)) y) (sqrt (cbrt z)))
170.0ms
(cbrt z)
169.0ms
(cbrt z)

simplify92.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0216422
1958375
23751369
35001364

prune232.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize17.0ms

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))

rewrite14.0ms

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 103
Calls
4 calls:
9.0ms
(* (cbrt (sqrt z)) (cbrt (sqrt z)))
0.0ms
(cbrt z)
1.0ms
(cbrt (sqrt z))
1.0ms
(cbrt (sqrt z))

series615.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(* (cbrt (sqrt z)) (cbrt (sqrt z)))
171.0ms
(cbrt z)
145.0ms
(cbrt (sqrt z))
150.0ms
(cbrt (sqrt z))

simplify110.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 3 (103.0ms)

IterNodesCost
0173674
1618631
23263578
35001504

prune322.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes162.0ms

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
0104
1104

end0.0ms

sample802.0ms

Algorithm
intervals
Results
227.0ms8509×body80valid
225.0ms8687×body80nan