Details

Time bar (total: 3.6s)

sample27.0ms

Algorithm
intervals
Results
7.0ms272×body80valid
6.0ms241×body80nan

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0215
1475
2715
31035
41245
51385
61485
71485

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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))

rewrite9.0ms

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))

series74.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(+ x (* y (sqrt z)))
44.0ms
(* y (sqrt z))

simplify113.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0219188
1829168
23837161
35002161

prune88.0ms

Filtered
39 candidates to 28 candidates (71.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New35439
Fresh000
Picked011
Done000
Total35540

Merged error: 0.0b

Counts
40 → 5

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)))

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)))

series561.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(sqrt (sqrt z))
306.0ms
(sqrt (sqrt z))
79.0ms
(* y (sqrt (sqrt z)))
46.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify44.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0336516
11470454
25002427

prune206.0ms

Filtered
100 candidates to 60 candidates (60.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New982100
Fresh123
Picked011
Done011
Total996105

Merged error: 0b

Counts
105 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

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:
2.0ms
(sqrt (sqrt z))
7.0ms
(* y (sqrt (sqrt (sqrt z))))
15.0ms
(* (* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt z)))
12.0ms
(* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))

series339.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(sqrt (sqrt z))
88.0ms
(* y (sqrt (sqrt (sqrt z))))
44.0ms
(* (* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt z)))
77.0ms
(* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))

simplify68.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0468872
12288702
25001630

prune249.0ms

Filtered
115 candidates to 64 candidates (55.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1141115
Fresh123
Picked101
Done022
Total1165121

Merged error: 0b

Counts
121 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (fabs (cbrt z)) y)
0.3b
(* (* (fabs (cbrt z)) y) (sqrt (cbrt z)))
0.5b
(cbrt z)
0.5b
(cbrt z)

rewrite19.0ms

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)
11.0ms
(* (* (fabs (cbrt z)) y) (sqrt (cbrt z)))
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series505.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (fabs (cbrt z)) y)
127.0ms
(* (* (fabs (cbrt z)) y) (sqrt (cbrt z)))
174.0ms
(cbrt z)
179.0ms
(cbrt z)

simplify89.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0210392
1952345
23745339
35001334

prune184.0ms

Filtered
76 candidates to 53 candidates (69.7%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New76076
Fresh022
Picked011
Done022
Total76581

Merged error: 0b

Counts
81 → 5

regimes171.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

sample775.0ms

Algorithm
intervals
Results
226.0ms8522×body80valid
210.0ms8541×body80nan