Details

Time bar (total: 6.1s)

sample47.0ms

Algorithm
intervals
Results
13.0ms280×body80valid
9.0ms278×body80nan

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 0.1b

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))

series311.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(+ x (* y (sqrt z)))
269.0ms
(* y (sqrt z))

simplify110.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0210185
1816175
23872168
35002168

prune152.0ms

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

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)))

rewrite21.0ms

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)))

series489.0ms

Counts
4 → 12
Calls
4 calls:
160.0ms
(sqrt (sqrt z))
161.0ms
(sqrt (sqrt z))
96.0ms
(* y (sqrt (sqrt z)))
72.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify42.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0299492
11288445
25001425

prune461.0ms

Filtered
100 candidates to 60 candidates (40.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New973100
Fresh336
Picked101
Done011
Total1017108

Merged error: 0b

Counts
108 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (/ 1 z) -1/4)
0.1b
(sqrt (sqrt z))
0.2b
(* y (sqrt (sqrt z)))
0.3b
(* (* y (sqrt (sqrt z))) (pow (/ 1 z) -1/4))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
41×add-exp-log
34×add-sqr-sqrt
26×add-cube-cbrt unpow-prod-down *-un-lft-identity associate-*r*
22×sqrt-prod
19×prod-exp
18×times-frac
12×pow-exp
11×add-cbrt-cube
10×pow1
6×div-exp
4×sqrt-pow1 associate-*l* cbrt-unprod add-log-exp
3×pow-to-exp rec-exp pow-unpow pow-pow 1-exp unswap-sqr
2×rem-sqrt-square pow1/2 *-commutative div-inv sqr-pow
1×pow-flip pow-prod-down inv-pow
Counts
4 → 117
Calls
4 calls:
5.0ms
(pow (/ 1 z) -1/4)
2.0ms
(sqrt (sqrt z))
6.0ms
(* y (sqrt (sqrt z)))
12.0ms
(* (* y (sqrt (sqrt z))) (pow (/ 1 z) -1/4))

series576.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(pow (/ 1 z) -1/4)
159.0ms
(sqrt (sqrt z))
100.0ms
(* y (sqrt (sqrt z)))
117.0ms
(* (* y (sqrt (sqrt z))) (pow (/ 1 z) -1/4))

simplify72.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0557738
12472676
25001671

prune812.0ms

Filtered
129 candidates to 75 candidates (41.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1290129
Fresh055
Picked011
Done011
Total1297136

Merged error: 0b

Counts
136 → 7

localize16.0ms

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

rewrite39.0ms

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)))
16.0ms
(* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
11.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))

series525.0ms

Counts
4 → 12
Calls
4 calls:
159.0ms
(sqrt (sqrt z))
99.0ms
(* y (sqrt (sqrt z)))
73.0ms
(* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
194.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))

simplify59.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0457870
12240727
25001654

prune682.0ms

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

regimes501.0ms

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

sample1.1s

Algorithm
intervals
Results
291.0ms8556×body80valid
254.0ms8427×body80nan

Profiling

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