Details

Time bar (total: 3.7s)

sample33.0ms

Algorithm
intervals
Results
9.0ms270×body80valid
8.0ms263×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:
3.0ms
(+ x (* y (sqrt z)))
5.0ms
(* y (sqrt z))

series71.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(+ x (* y (sqrt z)))
42.0ms
(* y (sqrt z))

simplify120.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0219188
1829168
23837161
35002161

prune90.0ms

Filtered
39 candidates to 28 candidates (71.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New34539
Fresh000
Picked011
Done000
Total34640

Merged error: 0.0b

Counts
40 → 6

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

rewrite23.0ms

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))
7.0ms
(* y (sqrt (sqrt z)))
10.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series380.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(sqrt (sqrt z))
131.0ms
(sqrt (sqrt z))
74.0ms
(* 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

prune182.0ms

Filtered
100 candidates to 60 candidates (60.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New991100
Fresh134
Picked011
Done011
Total1006106

Merged error: 0.0b

Counts
106 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (sqrt z)))
0.2b
(* y (sqrt (sqrt z)))
0.2b
(* (* 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
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:
3.0ms
(sqrt (sqrt (sqrt z)))
6.0ms
(* y (sqrt (sqrt z)))
14.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))
17.0ms
(* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))

series394.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(sqrt (sqrt (sqrt z)))
71.0ms
(* y (sqrt (sqrt z)))
112.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))
39.0ms
(* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))

simplify69.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0478919
12379763
25002680

prune223.0ms

Filtered
120 candidates to 67 candidates (55.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1191120
Fresh033
Picked011
Done022
Total1197126

Merged error: 0b

Counts
126 → 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)

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

series511.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (fabs (cbrt z)) y)
130.0ms
(* (* (fabs (cbrt z)) y) (sqrt (cbrt z)))
176.0ms
(cbrt z)
179.0ms
(cbrt z)

simplify96.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
0210392
1952345
23745339
35001334

prune170.0ms

Filtered
76 candidates to 53 candidates (69.7%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New76076
Fresh033
Picked011
Done033
Total76783

Merged error: 0b

Counts
83 → 7

regimes219.0ms

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 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

sample942.0ms

Algorithm
intervals
Results
308.0ms8563×body80valid
279.0ms8499×body80nan
0.0ms1×body160valid

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