Details

Time bar (total: 2.8s)

sample370.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 48.632813%

Guaranteed chance to sample good point: 89.67443%

Results
10.0ms256×body80valid
1.0ms21×body80nan
0.0ms9×body80invalid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0215
1475
2715
31035
41245
51385
61485
71485

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

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))

series16.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(+ x (* y (sqrt z)))
6.0ms
(* y (sqrt z))

simplify111.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0210185
1816175
23872168
35002168

prune74.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New32739
Fresh000
Picked011
Done000
Total32840

Merged error: 0.0b

Counts
40 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt z))
0.1b
(sqrt (sqrt z))
0.3b
(* y (sqrt (sqrt z)))
0.3b
(* (* y (sqrt (sqrt z))) (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))
6.0ms
(* y (sqrt (sqrt z)))
9.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series48.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(sqrt (sqrt z))
16.0ms
(sqrt (sqrt z))
10.0ms
(* y (sqrt (sqrt z)))
7.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify42.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0317517
11370467
25002423

prune112.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New964100
Fresh336
Picked101
Done011
Total1008108

Merged error: 0b

Counts
108 → 8

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))
0.3b
(* y (pow z 1/4))
0.3b
(* (* y (pow z 1/4)) (sqrt (sqrt z)))

rewrite19.0ms

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))
5.0ms
(* y (pow z 1/4))
8.0ms
(* (* y (pow z 1/4)) (sqrt (sqrt z)))

series53.0ms

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

simplify57.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0442559
11958511
25001486

prune130.0ms

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

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New92092
Fresh066
Picked011
Done011
Total928100

Merged error: 0b

Counts
100 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
58×sqrt-prod
33×associate-*r*
26×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
3×*-commutative unswap-sqr
2×rem-sqrt-square pow1/2
Counts
4 → 102
Calls
4 calls:
2.0ms
(sqrt (sqrt z))
9.0ms
(* y (sqrt (sqrt z)))
12.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))
18.0ms
(* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))

series51.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(sqrt (sqrt z))
10.0ms
(* y (sqrt (sqrt z)))
19.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))
7.0ms
(* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))

simplify68.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0498894
12429750
25001669

prune99.0ms

Filtered
65 candidates to 114 candidates (-75.4%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1140114
Fresh055
Picked011
Done022
Total1148122

Merged error: 0b

Counts
122 → 8

regimes487.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

sample945.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 48.632813%

Guaranteed chance to sample good point: 89.67443%

Results
305.0ms8000×body80valid
18.0ms547×body80nan
8.0ms211×body80invalid

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