Details

Time bar (total: 4.1s)

sample26.0ms

Algorithm
intervals
Results
6.0ms293×body80nan
6.0ms285×body80valid

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

rewrite41.0ms

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:
30.0ms
(+ (- 1.0 x) (* y (sqrt x)))
9.0ms
(* y (sqrt x))

series83.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(+ (- 1.0 x) (* y (sqrt x)))
42.0ms
(* y (sqrt x))

simplify145.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0240231
1957202
24716192
35001192

prune84.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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)))

rewrite54.0ms

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:
2.0ms
(sqrt (sqrt x))
2.0ms
(sqrt (sqrt x))
13.0ms
(* y (sqrt (sqrt x)))
35.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series396.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(sqrt (sqrt x))
132.0ms
(sqrt (sqrt x))
81.0ms
(* y (sqrt (sqrt x)))
44.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify46.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0336520
11481454
25001427

prune204.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

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:
11.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series743.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(* (cbrt x) (cbrt x))
176.0ms
(cbrt x)
184.0ms
(cbrt x)
184.0ms
(cbrt x)

simplify85.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (80.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune305.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
27×sqrt-prod
21×associate-*r*
18×pow1 add-exp-log cbrt-prod add-cbrt-cube
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
2×pow1/3 associate-*l* *-commutative
Counts
4 → 82
Calls
4 calls:
24.0ms
(* (* (fabs (cbrt (sqrt x))) y) (sqrt (cbrt (sqrt x))))
73.0ms
(* (* (* (fabs (cbrt (sqrt x))) y) (sqrt (cbrt (sqrt x)))) (sqrt (sqrt x)))
1.0ms
(cbrt (sqrt x))
2.0ms
(cbrt (sqrt x))

series554.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(* (* (fabs (cbrt (sqrt x))) y) (sqrt (cbrt (sqrt x))))
127.0ms
(* (* (* (fabs (cbrt (sqrt x))) y) (sqrt (cbrt (sqrt x)))) (sqrt (sqrt x)))
171.0ms
(cbrt (sqrt x))
146.0ms
(cbrt (sqrt x))

simplify62.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0386879
12002769
25001740

prune288.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes71.0ms

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

sample706.0ms

Algorithm
intervals
Results
183.0ms8533×body80valid
162.0ms8633×body80nan
0.0ms1×body1280valid
0.0ms1×body320valid