Details

Time bar (total: 3.4s)

sample41.0ms

Algorithm
intervals
Results
10.0ms310×body80nan
10.0ms268×body80valid

simplify22.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0215
1514
2864
31264
41514
51694
61854
71874
81874

prune9.0ms

Filtered
1 candidates to 1 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 → 2

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (sqrt z) y x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (sqrt z) y x)

series64.0ms

Counts
1 → 3
Calls
1 calls:
64.0ms
(fma (sqrt z) y x)

simplify62.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 4 (60.0ms)

IterNodesCost
07058
117650
252850
3181346
4500143

prune42.0ms

Filtered
13 candidates to 12 candidates (92.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New10313
Fresh011
Picked011
Done000
Total10515

Merged error: 0.1b

Counts
15 → 5

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
10×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity associate-*r*
4×pow1 add-exp-log sqrt-prod add-cbrt-cube add-log-exp
3×fma-def associate-*l*
2×expm1-log1p-u log1p-expm1-u unswap-sqr
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+
Counts
2 → 40
Calls
2 calls:
3.0ms
(+ 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))

simplify118.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 3 (114.0ms)

IterNodesCost
0231204
1879180
24188173
35001170

prune109.0ms

Filtered
46 candidates to 35 candidates (76.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New41546
Fresh213
Picked101
Done011
Total44751

Merged error: 0.0b

Counts
51 → 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)))

rewrite22.0ms

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×expm1-log1p-u rem-sqrt-square pow1/2 associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×unswap-sqr
2×*-commutative
Counts
4 → 96
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)))

series378.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(sqrt (sqrt z))
133.0ms
(sqrt (sqrt z))
75.0ms
(* y (sqrt (sqrt z)))
39.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify48.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0351549
11510488
25001461

prune221.0ms

Filtered
108 candidates to 69 candidates (63.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1062108
Fresh145
Picked011
Done011
Total1078115

Merged error: 0b

Counts
115 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series699.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(* (cbrt z) (cbrt z))
165.0ms
(cbrt z)
168.0ms
(cbrt z)
167.0ms
(cbrt z)

simplify92.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune353.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New93093
Fresh055
Picked011
Done022
Total938101

Merged error: 0b

Counts
101 → 8

regimes181.0ms

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
0104
1104

end0.0ms

sample801.0ms

Algorithm
intervals
Results
235.0ms8556×body80valid
220.0ms8670×body80nan

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