Details

Time bar (total: 4.5s)

sample1.1s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 48.632813%

Guaranteed chance to sample good point: 89.67443%

Results
9.0ms256×body80valid
1.0ms20×body80nan
0.0ms7×body80invalid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0215
1475
2715
31035
41245
51385
61485
71485

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* y (sqrt z)))
0.2b
(* y (sqrt z))

rewrite10.0ms

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:
2.0ms
(+ x (* y (sqrt z)))
5.0ms
(* y (sqrt z))

series14.0ms

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

simplify111.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0210185
1816175
23872168
35002168

prune70.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New33639
Fresh000
Picked011
Done000
Total33740

Merged error: 0.0b

Counts
40 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt z))
0.1b
(sqrt (sqrt z))
0.2b
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))
0.3b
(* y (sqrt (sqrt z)))

rewrite21.0ms

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))
9.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))
6.0ms
(* y (sqrt (sqrt z)))

series49.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(sqrt (sqrt z))
14.0ms
(sqrt (sqrt z))
9.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))
11.0ms
(* y (sqrt (sqrt z)))

simplify46.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0317517
11371467
25002423

prune123.0ms

Filtered
59 candidates to 100 candidates (-69.5%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New964100
Fresh145
Picked101
Done011
Total989107

Merged error: 0b

Counts
107 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (* y (pow z 1/4)) (sqrt (sqrt z))))
0.1b
(sqrt (sqrt z))
0.2b
(* (* y (pow z 1/4)) (sqrt (sqrt z)))
0.3b
(* y (pow z 1/4))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-sqr-sqrt sqrt-prod
16×associate-*r*
12×add-cube-cbrt *-un-lft-identity
11×add-cbrt-cube
10×prod-exp
8×pow1
6×add-log-exp
4×unpow-prod-down sqrt-pow1 associate-*l* cbrt-unprod
3×unswap-sqr
2×pow-to-exp rem-sqrt-square pow1/2 pow-exp *-commutative sqr-pow
1×+-commutative flip3-+ pow-prod-down sum-log flip-+
Counts
4 → 80
Calls
4 calls:
3.0ms
(+ x (* (* y (pow z 1/4)) (sqrt (sqrt z))))
2.0ms
(sqrt (sqrt z))
8.0ms
(* (* y (pow z 1/4)) (sqrt (sqrt z)))
6.0ms
(* y (pow z 1/4))

series54.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(+ x (* (* y (pow z 1/4)) (sqrt (sqrt z))))
14.0ms
(sqrt (sqrt z))
12.0ms
(* (* y (pow z 1/4)) (sqrt (sqrt z)))
15.0ms
(* y (pow z 1/4))

simplify60.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0442559
11958511
25001486

prune141.0ms

Filtered
60 candidates to 92 candidates (-53.3%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New92092
Fresh077
Picked011
Done011
Total929101

Merged error: 0b

Counts
101 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series93.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt z) (cbrt z))
24.0ms
(cbrt z)
22.0ms
(cbrt z)
22.0ms
(cbrt z)

simplify76.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (70.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune100.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh066
Picked011
Done022
Total85994

Merged error: 0b

Counts
94 → 9

regimes517.0ms

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

sample1.7s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 48.632813%

Guaranteed chance to sample good point: 89.67443%

Results
296.0ms8000×body80valid
17.0ms527×body80nan
9.0ms243×body80invalid

Profiling

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