Details

Time bar (total: 2.9s)

sample359.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 48.708021%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results
10.0ms256×body80valid
1.0ms23×body80nan
0.0ms8×body80invalid

simplify22.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0215
1475
2715
31035
41245
51385
61485
71485

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* y (sqrt z)))
0.3b
(* y (sqrt z))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
6×associate-*r*
5×add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log sqrt-prod add-cbrt-cube add-log-exp
3×associate-*l*
2×unswap-sqr
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+
Counts
2 → 33
Calls
2 calls:
4.0ms
(+ x (* y (sqrt z)))
9.0ms
(* y (sqrt z))

series15.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(+ x (* y (sqrt z)))
7.0ms
(* y (sqrt z))

simplify107.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0210185
1816175
23872168
35002168

prune77.0ms

Filtered
30 candidates to 39 candidates (-30.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New31839
Fresh000
Picked011
Done000
Total31940

Merged error: 0.0b

Counts
40 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(sqrt (sqrt z))
0.2b
(sqrt (sqrt z))
0.3b
(* y (sqrt (sqrt z)))
0.4b
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
41×sqrt-prod
25×add-sqr-sqrt
18×associate-*r*
15×pow1 add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
8×sqrt-pow1
4×rem-sqrt-square pow1/2 associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×unswap-sqr
2×*-commutative
Counts
4 → 88
Calls
4 calls:
2.0ms
(sqrt (sqrt z))
2.0ms
(sqrt (sqrt z))
7.0ms
(* y (sqrt (sqrt z)))
16.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series51.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(sqrt (sqrt z))
15.0ms
(sqrt (sqrt z))
11.0ms
(* y (sqrt (sqrt z)))
7.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify44.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0317517
11370467
25002423

prune123.0ms

Filtered
58 candidates to 100 candidates (-72.4%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New964100
Fresh257
Picked101
Done011
Total9910109

Merged error: 0b

Counts
109 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(sqrt (sqrt z))
0.2b
(* y (sqrt (sqrt (sqrt z))))
0.3b
(* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
0.4b
(* (* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt z)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
61×sqrt-prod
33×associate-*r*
28×add-sqr-sqrt
22×pow1
20×add-exp-log add-cbrt-cube
18×add-cube-cbrt *-un-lft-identity
10×pow-prod-down prod-exp cbrt-unprod
5×associate-*l*
4×sqrt-pow1 add-log-exp unswap-sqr
3×*-commutative
2×rem-sqrt-square pow1/2
Counts
4 → 103
Calls
4 calls:
3.0ms
(sqrt (sqrt z))
13.0ms
(* y (sqrt (sqrt (sqrt z))))
15.0ms
(* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
15.0ms
(* (* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt z)))

series56.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(sqrt (sqrt z))
13.0ms
(* y (sqrt (sqrt (sqrt z))))
16.0ms
(* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
12.0ms
(* (* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt z)))

simplify62.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0474882
12297725
25001636

prune120.0ms

Filtered
64 candidates to 115 candidates (-79.7%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1150115
Fresh088
Picked011
Done011
Total11510125

Merged error: 0b

Counts
125 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (fabs (cbrt z)) y)
0.4b
(* (* (fabs (cbrt z)) y) (sqrt (cbrt z)))
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite16.0ms

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)
8.0ms
(* (* (fabs (cbrt z)) y) (sqrt (cbrt z)))
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series89.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (fabs (cbrt z)) y)
39.0ms
(* (* (fabs (cbrt z)) y) (sqrt (cbrt z)))
22.0ms
(cbrt z)
22.0ms
(cbrt z)

simplify81.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (74.0ms)

IterNodesCost
0263429
11073379
23870342
35002330

prune97.0ms

Filtered
53 candidates to 76 candidates (-43.4%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New76076
Fresh077
Picked011
Done022
Total761086

Merged error: 0b

Counts
86 → 10

regimes552.0ms

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

sample838.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 48.708021%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results
298.0ms8000×body80valid
21.0ms549×body80nan
12.0ms247×body80invalid

Profiling

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