Details

Time bar (total: 3.0s)

sample45.0ms

Algorithm
intervals
Results
11.0ms345×body80nan
9.0ms272×body80valid

simplify20.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0215
1475
2715
31035
41245
51385
61485
71485

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

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

series14.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(+ x (* y (sqrt z)))
6.0ms
(* y (sqrt z))

simplify105.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0210185
1816175
23872168
35002168

prune74.0ms

Filtered
39 candidates to 30 candidates (23.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New32739
Fresh000
Picked011
Done000
Total32840

Merged error: 0.0b

Counts
40 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

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:
3.0ms
(sqrt (sqrt z))
3.0ms
(sqrt (sqrt z))
12.0ms
(* y (sqrt (sqrt z)))
15.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series66.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(sqrt (sqrt z))
20.0ms
(sqrt (sqrt z))
19.0ms
(* y (sqrt (sqrt z)))
12.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify66.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0317517
11370467
25002423

prune191.0ms

Filtered
100 candidates to 59 candidates (41.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New955100
Fresh426
Picked101
Done011
Total1008108

Merged error: 0.0b

Counts
108 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
22×sqrt-prod
20×add-sqr-sqrt
19×add-exp-log
16×associate-*r*
12×add-cube-cbrt *-un-lft-identity
11×add-cbrt-cube
10×prod-exp
8×pow1
6×add-log-exp
4×sqrt-pow1 associate-*l* cbrt-unprod
3×unpow-prod-down unswap-sqr
2×pow-to-exp rem-sqrt-square pow1/2 pow-exp *-commutative
1×+-commutative flip3-+ pow-prod-down sum-log flip-+ sqr-pow
Counts
4 → 80
Calls
4 calls:
3.0ms
(+ x (* (* y (sqrt (sqrt z))) (pow z 1/4)))
2.0ms
(sqrt (sqrt z))
6.0ms
(* y (sqrt (sqrt z)))
10.0ms
(* (* y (sqrt (sqrt z))) (pow z 1/4))

series50.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(+ x (* (* y (sqrt (sqrt z))) (pow z 1/4)))
14.0ms
(sqrt (sqrt z))
10.0ms
(* y (sqrt (sqrt z)))
12.0ms
(* (* y (sqrt (sqrt z))) (pow z 1/4))

simplify57.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0462591
12016547
25002527

prune140.0ms

Filtered
92 candidates to 59 candidates (35.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New90292
Fresh336
Picked011
Done011
Total937100

Merged error: 0b

Counts
100 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

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))
6.0ms
(* y (sqrt (sqrt z)))
11.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))
15.0ms
(* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))

series55.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(sqrt (sqrt z))
11.0ms
(* y (sqrt (sqrt z)))
22.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))
7.0ms
(* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))

simplify67.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0498894
12429750
25001669

prune109.0ms

Filtered
114 candidates to 66 candidates (42.1%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1140114
Fresh044
Picked011
Done022
Total1147121

Merged error: 0b

Counts
121 → 7

regimes525.0ms

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 (1.0ms)

IterNodesCost
0135
1135

end0.0ms

sample1.3s

Algorithm
intervals
Results
368.0ms11326×body80nan
310.0ms8519×body80valid

Profiling

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