Details

Time bar (total: 4.4s)

sample32.0ms

Algorithm
intervals
Results
10.0ms276×body80valid
7.0ms280×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

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

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))

series76.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ x (* y (sqrt z)))
41.0ms
(* y (sqrt z))

simplify121.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0219188
1829168
23837161
35002161

prune95.0ms

Filtered
39 candidates to 28 candidates (71.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

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)))
0.4b
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite29.0ms

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:
1.0ms
(sqrt (sqrt z))
1.0ms
(sqrt (sqrt z))
7.0ms
(* y (sqrt (sqrt z)))
17.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series395.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(sqrt (sqrt z))
132.0ms
(sqrt (sqrt z))
80.0ms
(* y (sqrt (sqrt z)))
45.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify47.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0336516
11470454
25002427

prune240.0ms

Filtered
100 candidates to 60 candidates (60.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (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))))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
69×sqrt-prod
33×associate-*r*
28×add-sqr-sqrt
23×pow1
20×add-exp-log add-cbrt-cube
19×add-cube-cbrt *-un-lft-identity
10×pow-prod-down prod-exp cbrt-unprod
9×sqrt-pow1
5×associate-*l*
4×add-log-exp
3×rem-sqrt-square pow1/2 *-commutative unswap-sqr
Counts
4 → 108
Calls
4 calls:
2.0ms
(sqrt (sqrt (sqrt z)))
7.0ms
(* y (sqrt (sqrt z)))
21.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))
70.0ms
(* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))

series394.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(sqrt (sqrt (sqrt z)))
83.0ms
(* y (sqrt (sqrt z)))
121.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))
43.0ms
(* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))

simplify74.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0478921
12381763
25002680

prune304.0ms

Filtered
120 candidates to 67 candidates (55.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

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))
0.0ms
(cbrt z)
0.0ms
(cbrt z)
1.0ms
(cbrt z)

series771.0ms

Counts
4 → 12
Calls
4 calls:
211.0ms
(* (cbrt z) (cbrt z))
187.0ms
(cbrt z)
190.0ms
(cbrt z)
183.0ms
(cbrt z)

simplify90.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune480.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes229.0ms

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

sample787.0ms

Algorithm
intervals
Results
228.0ms8781×body80nan
223.0ms8536×body80valid