Details

Time bar (total: 2.8s)

sample45.0ms

Algorithm
intervals
Results
10.0ms291×body80nan
10.0ms269×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0215
1475
2715
31035
41245
51385
61485
71485

prune3.0ms

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: 0.1b

Counts
2 → 1

localize8.0ms

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))

simplify108.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0210185
1816175
23872168
35002168

prune64.0ms

Filtered
39 candidates to 30 candidates (23.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New35439
Fresh000
Picked011
Done000
Total35540

Merged error: 0.0b

Counts
40 → 5

localize12.0ms

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)))

rewrite22.0ms

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:
15.0ms
(sqrt (sqrt z))
15.0ms
(sqrt (sqrt z))
11.0ms
(* y (sqrt (sqrt z)))
8.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify42.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0317517
11370467
25002423

prune98.0ms

Filtered
100 candidates to 59 candidates (41.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New991100
Fresh033
Picked011
Done011
Total996105

Merged error: 0.0b

Counts
105 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (* (fabs (cbrt (sqrt z))) y) (sqrt (cbrt (sqrt z)))) (sqrt (sqrt z)))
0.4b
(* (* (fabs (cbrt (sqrt z))) y) (sqrt (cbrt (sqrt z))))
0.6b
(cbrt (sqrt z))
0.6b
(cbrt (sqrt z))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
27×sqrt-prod
21×associate-*r*
18×pow1 add-exp-log cbrt-prod add-cbrt-cube
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
2×pow1/3 associate-*l* *-commutative
Counts
4 → 82
Calls
4 calls:
12.0ms
(* (* (* (fabs (cbrt (sqrt z))) y) (sqrt (cbrt (sqrt z)))) (sqrt (sqrt z)))
11.0ms
(* (* (fabs (cbrt (sqrt z))) y) (sqrt (cbrt (sqrt z))))
2.0ms
(cbrt (sqrt z))
2.0ms
(cbrt (sqrt z))

series83.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (* (* (fabs (cbrt (sqrt z))) y) (sqrt (cbrt (sqrt z)))) (sqrt (sqrt z)))
24.0ms
(* (* (fabs (cbrt (sqrt z))) y) (sqrt (cbrt (sqrt z))))
16.0ms
(cbrt (sqrt z))
16.0ms
(cbrt (sqrt z))

simplify60.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0488918
12289812
25002773

prune111.0ms

Filtered
94 candidates to 59 candidates (37.2%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New93194
Fresh033
Picked011
Done022
Total937100

Merged error: 0b

Counts
100 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (fabs (cbrt z)) y)
0.3b
(* (* (fabs (cbrt z)) y) (sqrt (cbrt z)))
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite14.0ms

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)
7.0ms
(* (* (fabs (cbrt z)) y) (sqrt (cbrt z)))
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series81.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (fabs (cbrt z)) y)
30.0ms
(* (* (fabs (cbrt z)) y) (sqrt (cbrt z)))
21.0ms
(cbrt z)
22.0ms
(cbrt z)

simplify79.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (74.0ms)

IterNodesCost
0263429
11073379
23870342
35002330

prune77.0ms

Filtered
76 candidates to 53 candidates (30.3%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New75176
Fresh123
Picked011
Done033
Total76783

Merged error: 0b

Counts
83 → 7

regimes442.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

sample1.3s

Algorithm
intervals
Results
340.0ms8513×body80valid
313.0ms8636×body80nan
0.0ms1×body160valid

Profiling

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