Details

Time bar (total: 2.5s)

sample42.0ms

Algorithm
intervals
Results
11.0ms232×body80nan
10.0ms278×body80valid

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))

series14.0ms

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

simplify107.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0210185
1816175
23872168
35002168

prune66.0ms

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

localize11.0ms

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)))

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)))

series47.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(sqrt (sqrt z))
15.0ms
(sqrt (sqrt z))
11.0ms
(* y (sqrt (sqrt z)))
7.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify43.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0317517
11370467
25002423

prune114.0ms

Filtered
59 candidates to 100 candidates (-69.5%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New964100
Fresh145
Picked101
Done011
Total989107

Merged error: 0b

Counts
107 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (* y (sqrt (sqrt z))) (pow z 1/4)))
0.1b
(sqrt (sqrt z))
0.3b
(* y (sqrt (sqrt z)))
0.3b
(* (* 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))

series51.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(+ x (* (* y (sqrt (sqrt z))) (pow z 1/4)))
15.0ms
(sqrt (sqrt z))
11.0ms
(* y (sqrt (sqrt z)))
13.0ms
(* (* y (sqrt (sqrt z))) (pow z 1/4))

simplify61.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0462591
12016547
25002527

prune127.0ms

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

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New91192
Fresh257
Picked011
Done011
Total938101

Merged error: 0b

Counts
101 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
75×add-exp-log
58×prod-exp
29×associate-*r*
28×sqrt-prod
24×add-sqr-sqrt
20×add-cbrt-cube
16×add-cube-cbrt *-un-lft-identity
15×pow-to-exp pow-exp
12×unpow-prod-down
10×cbrt-unprod
8×pow1
5×associate-*l*
4×sqrt-pow1 add-log-exp
3×*-commutative unswap-sqr
2×rem-sqrt-square pow1/2 sqr-pow
1×pow-prod-down
Counts
4 → 115
Calls
4 calls:
2.0ms
(sqrt (sqrt z))
6.0ms
(* y (sqrt (sqrt z)))
9.0ms
(* (* y (sqrt (sqrt z))) (pow (sqrt z) 1/4))
12.0ms
(* (* (* y (sqrt (sqrt z))) (pow (sqrt z) 1/4)) (pow (sqrt z) 1/4))

series53.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(sqrt (sqrt z))
11.0ms
(* y (sqrt (sqrt z)))
21.0ms
(* (* y (sqrt (sqrt z))) (pow (sqrt z) 1/4))
7.0ms
(* (* (* y (sqrt (sqrt z))) (pow (sqrt z) 1/4)) (pow (sqrt z) 1/4))

simplify71.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0548973
12633813
25002682

prune135.0ms

Filtered
66 candidates to 127 candidates (-92.4%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1270127
Fresh055
Picked011
Done022
Total1278135

Merged error: 0b

Counts
135 → 8

regimes448.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b 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
Results
301.0ms8518×body80valid
246.0ms7292×body80nan

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