Details

Time bar (total: 2.5s)

sample110.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 23.520795%

Guaranteed chance to sample good point: 65.377249%

Results
9.0ms269×body80valid
5.0ms146×body80nan

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0215
1475
2715
31035
41245
51385
61485
71485

prune3.0ms

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))

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))

series13.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(+ x (* y (sqrt z)))
6.0ms
(* y (sqrt z))

simplify106.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0210185
1816175
23872168
35002168

prune88.0ms

Filtered
30 candidates to 39 candidates (-30.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New33639
Fresh000
Picked011
Done000
Total33740

Merged error: 0.0b

Counts
40 → 7

localize9.0ms

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)))

rewrite20.0ms

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)))

series44.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(sqrt (sqrt z))
14.0ms
(sqrt (sqrt z))
10.0ms
(* y (sqrt (sqrt z)))
6.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify42.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0317517
11370467
25002423

prune98.0ms

Filtered
58 candidates to 100 candidates (-72.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New982100
Fresh235
Picked101
Done011
Total1016107

Merged error: 0.0b

Counts
107 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (* y (sqrt (sqrt z))) (pow z 1/4)))
0.1b
(sqrt (sqrt z))
0.2b
(* y (sqrt (sqrt z)))
0.4b
(* (* y (sqrt (sqrt z))) (pow z 1/4))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
22×sqrt-prod
20×add-sqr-sqrt
19×add-exp-log
16×associate-*r*
12×add-cube-cbrt *-un-lft-identity
11×add-cbrt-cube
10×prod-exp
8×pow1
6×add-log-exp
4×sqrt-pow1 associate-*l* cbrt-unprod
3×unpow-prod-down unswap-sqr
2×pow-to-exp rem-sqrt-square pow1/2 pow-exp *-commutative
1×+-commutative flip3-+ pow-prod-down sum-log flip-+ sqr-pow
Counts
4 → 80
Calls
4 calls:
2.0ms
(+ x (* (* y (sqrt (sqrt z))) (pow z 1/4)))
2.0ms
(sqrt (sqrt z))
6.0ms
(* y (sqrt (sqrt z)))
7.0ms
(* (* y (sqrt (sqrt z))) (pow z 1/4))

series47.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(+ x (* (* y (sqrt (sqrt z))) (pow z 1/4)))
14.0ms
(sqrt (sqrt z))
10.0ms
(* y (sqrt (sqrt z)))
11.0ms
(* (* y (sqrt (sqrt z))) (pow z 1/4))

simplify58.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0462591
12016547
25002527

prune129.0ms

Filtered
59 candidates to 92 candidates (-55.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New91192
Fresh044
Picked011
Done011
Total91798

Merged error: 0b

Counts
98 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y (* (sqrt (sqrt z)) (pow z 1/4))))
0.1b
(sqrt (sqrt z))
0.2b
(* y (* (sqrt (sqrt z)) (pow z 1/4)))
0.5b
(* (sqrt (sqrt z)) (pow z 1/4))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
28×sqrt-prod
19×add-exp-log
12×add-cube-cbrt *-un-lft-identity associate-*l*
11×add-cbrt-cube
10×prod-exp
9×pow1 unswap-sqr
8×associate-*r*
7×sqrt-pow1
6×unpow-prod-down add-log-exp
4×cbrt-unprod sqr-pow
3×pow1/2
2×pow-to-exp rem-sqrt-square pow-exp *-commutative pow-prod-up
1×+-commutative flip3-+ pow-prod-down sum-log flip-+
Counts
4 → 88
Calls
4 calls:
3.0ms
(+ x (* y (* (sqrt (sqrt z)) (pow z 1/4))))
2.0ms
(sqrt (sqrt z))
7.0ms
(* y (* (sqrt (sqrt z)) (pow z 1/4)))
8.0ms
(* (sqrt (sqrt z)) (pow z 1/4))

series47.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(+ x (* y (* (sqrt (sqrt z)) (pow z 1/4))))
14.0ms
(sqrt (sqrt z))
12.0ms
(* y (* (sqrt (sqrt z)) (pow z 1/4)))
6.0ms
(* (sqrt (sqrt z)) (pow z 1/4))

simplify57.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0467703
11726663
25002648

prune120.0ms

Filtered
65 candidates to 100 candidates (-53.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1000100
Fresh044
Picked011
Done022
Total1007107

Merged error: 0b

Counts
107 → 7

regimes432.0ms

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

sample1.0s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 23.520795%

Guaranteed chance to sample good point: 65.377249%

Results
337.0ms8511×body80valid
164.0ms4359×body80nan

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