Details

Time bar (total: 3.2s)

sample34.0ms

Algorithm
intervals
Results
10.0ms274×body80valid
9.0ms265×body80nan

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

localize9.0ms

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))

series73.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ x (* y (sqrt z)))
39.0ms
(* y (sqrt z))

simplify147.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0219188
1829168
23837161
35002161

prune80.0ms

Filtered
39 candidates to 28 candidates (71.8%)
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:

0.2b
(sqrt (sqrt z))
0.2b
(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)))

series369.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(sqrt (sqrt z))
127.0ms
(sqrt (sqrt z))
76.0ms
(* y (sqrt (sqrt z)))
42.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify43.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0336516
11470454
25002427

prune194.0ms

Filtered
100 candidates to 60 candidates (60.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New964100
Fresh235
Picked101
Done011
Total998107

Merged error: 0b

Counts
107 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (* y (sqrt (sqrt z))) (pow z 1/4)))
0.2b
(sqrt (sqrt z))
0.2b
(* 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:
3.0ms
(+ x (* (* y (sqrt (sqrt z))) (pow z 1/4)))
2.0ms
(sqrt (sqrt z))
6.0ms
(* y (sqrt (sqrt z)))
8.0ms
(* (* y (sqrt (sqrt z))) (pow z 1/4))

series342.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(+ x (* (* y (sqrt (sqrt z))) (pow z 1/4)))
133.0ms
(sqrt (sqrt z))
77.0ms
(* y (sqrt (sqrt z)))
80.0ms
(* (* y (sqrt (sqrt z))) (pow z 1/4))

simplify64.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0513603
12293547
25001547

prune224.0ms

Filtered
92 candidates to 61 candidates (66.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New91192
Fresh156
Picked101
Done011
Total937100

Merged error: 0b

Counts
100 → 7

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (* y (pow z 1/4)) (pow z 1/4)))
0.2b
(* y (pow z 1/4))
0.3b
(* (* y (pow z 1/4)) (pow z 1/4))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log
24×prod-exp
14×associate-*r*
13×add-sqr-sqrt
10×add-cbrt-cube
8×pow-to-exp add-cube-cbrt *-un-lft-identity pow-exp
7×unpow-prod-down
5×add-log-exp
4×associate-*l* cbrt-unprod
3×pow1 unswap-sqr sqr-pow
2×*-commutative
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 66
Calls
3 calls:
3.0ms
(+ x (* (* y (pow z 1/4)) (pow z 1/4)))
5.0ms
(* y (pow z 1/4))
7.0ms
(* (* y (pow z 1/4)) (pow z 1/4))

series141.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(+ x (* (* y (pow z 1/4)) (pow z 1/4)))
58.0ms
(* y (pow z 1/4))
47.0ms
(* (* y (pow z 1/4)) (pow z 1/4))

simplify46.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0343408
11448340
25001333

prune118.0ms

Filtered
75 candidates to 47 candidates (62.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New75075
Fresh055
Picked011
Done011
Total75782

Merged error: 0b

Counts
82 → 7

regimes212.0ms

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

sample949.0ms

Algorithm
intervals
Results
309.0ms8548×body80valid
283.0ms8412×body80nan

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