Details

Time bar (total: 3.4s)

sample37.0ms

Algorithm
intervals
Results
10.0ms315×body80nan
9.0ms274×body80valid

simplify20.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

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

prune4.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (- 1.0 x) (* y (sqrt x)))
0.2b
(* y (sqrt x))

rewrite24.0ms

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:
15.0ms
(+ (- 1.0 x) (* y (sqrt x)))
4.0ms
(* y (sqrt x))

series73.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ (- 1.0 x) (* y (sqrt x)))
39.0ms
(* y (sqrt x))

simplify42.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0273339
11115252
25002244

prune130.0ms

Filtered
61 candidates to 47 candidates (77.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

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)))

rewrite30.0ms

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:
1.0ms
(sqrt (sqrt x))
1.0ms
(sqrt (sqrt x))
6.0ms
(* y (sqrt (sqrt x)))
19.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series378.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(sqrt (sqrt x))
130.0ms
(sqrt (sqrt x))
76.0ms
(* y (sqrt (sqrt x)))
39.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify47.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0351549
11519488
25001461

prune227.0ms

Filtered
108 candidates to 68 candidates (63.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- 1.0 x) (* (* y (sqrt (sqrt x))) (pow x 1/4)))
0.1b
(sqrt (sqrt x))
0.3b
(* y (sqrt (sqrt x)))
0.3b
(* (* y (sqrt (sqrt x))) (pow x 1/4))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
22×sqrt-prod
21×*-un-lft-identity
19×add-exp-log add-cube-cbrt
16×associate-*r*
11×associate-+l+ add-cbrt-cube
10×prod-exp
9×prod-diff add-log-exp
8×pow1
5×fma-def
4×expm1-log1p-u sqrt-pow1 associate-*l* cbrt-unprod log1p-expm1-u
3×unpow-prod-down unswap-sqr
2×pow-to-exp rem-sqrt-square pow1/2 pow-exp sum-log *-commutative
1×+-commutative associate-+l- sub-neg flip3-+ diff-log pow-prod-down flip-+ distribute-lft-out-- difference-of-squares sqr-pow
Counts
4 → 106
Calls
4 calls:
17.0ms
(+ (- 1.0 x) (* (* y (sqrt (sqrt x))) (pow x 1/4)))
1.0ms
(sqrt (sqrt x))
7.0ms
(* y (sqrt (sqrt x)))
19.0ms
(* (* y (sqrt (sqrt x))) (pow x 1/4))

series376.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(+ (- 1.0 x) (* (* y (sqrt (sqrt x))) (pow x 1/4)))
133.0ms
(sqrt (sqrt x))
80.0ms
(* y (sqrt (sqrt x)))
82.0ms
(* (* y (sqrt (sqrt x))) (pow x 1/4))

simplify82.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
0586817
12765696
25002690

prune297.0ms

Filtered
118 candidates to 84 candidates (71.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
63×sqrt-prod
35×add-exp-log
31×associate-*r*
29×add-sqr-sqrt
22×prod-exp
20×add-cbrt-cube
18×add-cube-cbrt *-un-lft-identity
14×pow1
10×cbrt-unprod
9×sqrt-pow1
5×associate-*l*
4×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp unswap-sqr
3×pow-to-exp unpow-prod-down rem-sqrt-square pow1/2 pow-exp *-commutative
1×sqr-pow
Counts
4 → 118
Calls
4 calls:
2.0ms
(sqrt (sqrt (sqrt x)))
9.0ms
(* y (sqrt (sqrt (sqrt x))))
84.0ms
(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (pow x 1/4))
27.0ms
(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

series391.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(sqrt (sqrt (sqrt x)))
87.0ms
(* y (sqrt (sqrt (sqrt x))))
79.0ms
(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (pow x 1/4))
78.0ms
(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

simplify73.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
05871015
12827819
25001816

prune281.0ms

Filtered
130 candidates to 75 candidates (57.7%)
Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes85.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094
194

end0.0ms

sample602.0ms

Algorithm
intervals
Results
182.0ms8536×body80valid
167.0ms8526×body80nan
0.0ms1×body1280valid