Details

Time bar (total: 3.9s)

sample24.0ms

Algorithm
intervals
Results
6.0ms272×body80valid
6.0ms286×body80nan

simplify19.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1234
2404
3594
4744
51034
61204
71454
82264
92574
102574

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
7×add-log-exp
6×associate-*r*
5×add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log sqrt-prod add-cbrt-cube
3×associate-*l*
2×associate-+l+ sum-log unswap-sqr
1×+-commutative associate-+l- sub-neg flip3-+ diff-log pow-prod-down prod-exp *-commutative cbrt-unprod flip-+
Counts
2 → 37
Calls
2 calls:
13.0ms
(+ (- 1.0 x) (* y (sqrt x)))
5.0ms
(* y (sqrt x))

series85.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(+ (- 1.0 x) (* y (sqrt x)))
46.0ms
(* y (sqrt x))

simplify138.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0240231
1957202
24716192
35001192

prune85.0ms

Pruning

7 alts after pruning (6 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))
0.2b
(* y (sqrt (sqrt x)))
0.4b
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite28.0ms

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:
1.0ms
(sqrt (sqrt x))
1.0ms
(sqrt (sqrt x))
7.0ms
(* y (sqrt (sqrt x)))
17.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series397.0ms

Counts
4 → 12
Calls
4 calls:
137.0ms
(sqrt (sqrt x))
135.0ms
(sqrt (sqrt x))
81.0ms
(* y (sqrt (sqrt x)))
44.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify44.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0336516
11481454
25001427

prune325.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (/ 1 x) -1/4)
0.1b
(sqrt (sqrt x))
0.2b
(* y (pow (/ 1 x) -1/4))
0.4b
(* (* y (pow (/ 1 x) -1/4)) (sqrt (sqrt x)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
41×add-exp-log
38×add-sqr-sqrt
29×unpow-prod-down
27×*-un-lft-identity
26×add-cube-cbrt associate-*r*
20×times-frac
19×prod-exp sqrt-prod
12×pow-exp
11×add-cbrt-cube
10×pow1
6×div-exp
5×unswap-sqr
4×sqrt-pow1 associate-*l* cbrt-unprod add-log-exp
3×pow-to-exp rec-exp pow-unpow pow-pow 1-exp sqr-pow
2×rem-sqrt-square pow1/2 *-commutative div-inv
1×pow-flip pow-prod-down inv-pow
Counts
4 → 119
Calls
4 calls:
4.0ms
(pow (/ 1 x) -1/4)
1.0ms
(sqrt (sqrt x))
15.0ms
(* y (pow (/ 1 x) -1/4))
23.0ms
(* (* y (pow (/ 1 x) -1/4)) (sqrt (sqrt x)))

series447.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(pow (/ 1 x) -1/4)
133.0ms
(sqrt (sqrt x))
63.0ms
(* y (pow (/ 1 x) -1/4))
83.0ms
(* (* y (pow (/ 1 x) -1/4)) (sqrt (sqrt x)))

simplify65.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0573752
12585668
25001665

prune269.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite9.0ms

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×add-cbrt-cube 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 → 73
Calls
4 calls:
6.0ms
(* (cbrt x) (cbrt x))
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series727.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(* (cbrt x) (cbrt x))
177.0ms
(cbrt x)
180.0ms
(cbrt x)
173.0ms
(cbrt x)

simplify84.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (80.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune285.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes79.0ms

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
094
194

end0.0ms

sample623.0ms

Algorithm
intervals
Results
182.0ms8534×body80valid
178.0ms8496×body80nan
0.0ms2×body1280valid
0.0ms1×body640valid