Details

Time bar (total: 3.1s)

sample26.0ms

Algorithm
intervals
Results
8.0ms275×body80valid
7.0ms274×body80nan

simplify20.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0134
1253
2443
3693
41023
51713
61923
72253
83163
93513
103513

prune6.0ms

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

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (sqrt x) y (- 1.0 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 x) y (- 1.0 x))

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(fma (sqrt x) y (- 1.0 x))

simplify40.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 3 (14.0ms)

IterNodesCost
06471
116257
247655
3175554
4500154

prune30.0ms

Filtered
13 candidates to 12 candidates (92.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New11213
Fresh011
Picked011
Done000
Total11415

Merged error: 0.1b

Counts
15 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (- 1.0 x) (* y (sqrt x)))
0.3b
(* y (sqrt x))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
14×*-un-lft-identity
12×add-cube-cbrt
11×associate-+l+
9×prod-diff
7×add-log-exp
6×associate-*r*
5×fma-def
4×pow1 add-exp-log sqrt-prod add-cbrt-cube
3×associate-*l*
2×expm1-log1p-u sum-log log1p-expm1-u unswap-sqr
1×+-commutative associate-+l- sub-neg flip3-+ diff-log pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 55
Calls
2 calls:
7.0ms
(+ (- 1.0 x) (* y (sqrt x)))
5.0ms
(* y (sqrt x))

series75.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ (- 1.0 x) (* y (sqrt x)))
40.0ms
(* y (sqrt x))

simplify43.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0273339
11115252
25002244

prune122.0ms

Filtered
61 candidates to 47 candidates (77.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New56561
Fresh202
Picked101
Done011
Total59665

Merged error: 0.0b

Counts
65 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt x))
0.1b
(sqrt (sqrt x))
0.3b
(* y (sqrt (sqrt x)))
0.3b
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

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 x))
2.0ms
(sqrt (sqrt x))
6.0ms
(* y (sqrt (sqrt x)))
9.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series406.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(sqrt (sqrt x))
143.0ms
(sqrt (sqrt x))
82.0ms
(* y (sqrt (sqrt x)))
42.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify46.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0351549
11519488
25001461

prune203.0ms

Filtered
108 candidates to 69 candidates (63.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1035108
Fresh314
Picked101
Done011
Total1077114

Merged error: 0.0b

Counts
114 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite15.0ms

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 x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series738.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(* (cbrt x) (cbrt x))
182.0ms
(cbrt x)
179.0ms
(cbrt x)
181.0ms
(cbrt x)

simplify87.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune301.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New93093
Fresh055
Picked011
Done011
Total937100

Merged error: 0.0b

Counts
100 → 7

regimes58.0ms

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
063

end0.0ms

sample737.0ms

Algorithm
intervals
Results
241.0ms8527×body80valid
226.0ms8573×body80nan
0.0ms1×body640valid

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