Details

Time bar (total: 3.4s)

sample23.0ms

Algorithm
intervals
Results
6.0ms315×body80nan
5.0ms274×body80valid

simplify18.0ms

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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

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

series77.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(+ (- 1.0 x) (* y (sqrt x)))
38.0ms
(* y (sqrt x))

simplify155.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0240231
1957202
24716192
35001192

prune88.0ms

Filtered
43 candidates to 30 candidates (69.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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×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)))
18.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series402.0ms

Counts
4 → 12
Calls
4 calls:
137.0ms
(sqrt (sqrt x))
139.0ms
(sqrt (sqrt x))
83.0ms
(* y (sqrt (sqrt x)))
42.0ms
(* (* 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

prune200.0ms

Filtered
100 candidates to 60 candidates (60.0%)
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))

rewrite40.0ms

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
9×add-log-exp
8×pow1
4×sqrt-pow1 associate-*l* cbrt-unprod
3×unpow-prod-down unswap-sqr
2×pow-to-exp rem-sqrt-square associate-+l+ pow1/2 pow-exp sum-log *-commutative
1×+-commutative associate-+l- sub-neg flip3-+ diff-log pow-prod-down flip-+ sqr-pow
Counts
4 → 84
Calls
4 calls:
14.0ms
(+ (- 1.0 x) (* (* y (sqrt (sqrt x))) (pow x 1/4)))
1.0ms
(sqrt (sqrt x))
7.0ms
(* y (sqrt (sqrt x)))
16.0ms
(* (* y (sqrt (sqrt x))) (pow x 1/4))

series377.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(+ (- 1.0 x) (* (* y (sqrt (sqrt x))) (pow x 1/4)))
143.0ms
(sqrt (sqrt x))
85.0ms
(* y (sqrt (sqrt x)))
81.0ms
(* (* y (sqrt (sqrt x))) (pow x 1/4))

simplify65.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0539657
12405593
25002593

prune218.0ms

Filtered
96 candidates to 63 candidates (65.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize16.0ms

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))))

rewrite130.0ms

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×pow-prod-down 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 → 110
Calls
4 calls:
2.0ms
(sqrt (sqrt (sqrt x)))
10.0ms
(* y (sqrt (sqrt (sqrt x))))
86.0ms
(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (pow x 1/4))
28.0ms
(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

series414.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(sqrt (sqrt (sqrt x)))
94.0ms
(* y (sqrt (sqrt (sqrt x))))
83.0ms
(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (pow x 1/4))
80.0ms
(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

simplify71.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0566960
12761761
25002761

prune280.0ms

Filtered
122 candidates to 67 candidates (54.9%)
Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes114.0ms

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

sample598.0ms

Algorithm
intervals
Results
181.0ms8536×body80valid
161.0ms8526×body80nan
0.0ms1×body1280valid