Details

Time bar (total: 3.5s)

sample25.0ms

Algorithm
intervals
Results
6.0ms276×body80valid
6.0ms272×body80nan

simplify21.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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)))
0.2b
(* y (sqrt x))

rewrite22.0ms

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:
16.0ms
(+ (- 1.0 x) (* y (sqrt x)))
5.0ms
(* y (sqrt x))

series77.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ (- 1.0 x) (* y (sqrt x)))
41.0ms
(* y (sqrt x))

simplify146.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0240231
1957202
24716192
35001192

prune82.0ms

Pruning

5 alts after pruning (4 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)))
0.3b
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite32.0ms

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)))
19.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series393.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(sqrt (sqrt x))
138.0ms
(sqrt (sqrt x))
79.0ms
(* y (sqrt (sqrt x)))
41.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify45.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0336516
11481454
25001427

prune199.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (fabs (cbrt x)) y)
0.3b
(* (* (fabs (cbrt x)) y) (sqrt (cbrt x)))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*r*
11×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×cbrt-prod
6×sqrt-prod
4×associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×pow1/3 *-commutative
1×unswap-sqr
Counts
4 → 64
Calls
4 calls:
3.0ms
(* (fabs (cbrt x)) y)
9.0ms
(* (* (fabs (cbrt x)) y) (sqrt (cbrt x)))
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series515.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (fabs (cbrt x)) y)
130.0ms
(* (* (fabs (cbrt x)) y) (sqrt (cbrt x)))
183.0ms
(cbrt x)
177.0ms
(cbrt x)

simplify91.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0210392
1952345
23737339
35001334

prune185.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(* y (sqrt (cbrt x)))
0.3b
(* (fabs (cbrt x)) (* y (sqrt (cbrt x))))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
11×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
10×cbrt-prod associate-*r*
8×sqrt-prod
6×associate-*l*
4×pow-prod-down prod-exp cbrt-unprod add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative
Counts
4 → 66
Calls
4 calls:
6.0ms
(* y (sqrt (cbrt x)))
10.0ms
(* (fabs (cbrt x)) (* y (sqrt (cbrt x))))
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series559.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(* y (sqrt (cbrt x)))
123.0ms
(* (fabs (cbrt x)) (* y (sqrt (cbrt x))))
183.0ms
(cbrt x)
174.0ms
(cbrt x)

simplify85.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
0203383
1805344
23151338
35001333

prune193.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes64.0ms

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

sample664.0ms

Algorithm
intervals
Results
196.0ms8565×body80valid
180.0ms8621×body80nan