Details

Time bar (total: 4.1s)

sample26.0ms

Algorithm
intervals
Results
6.0ms274×body80valid
5.0ms274×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 1 expressions with local error:

0.3b
(* y (sqrt x))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×associate-*r*
4×add-cube-cbrt *-un-lft-identity sqrt-prod
3×pow1 add-exp-log associate-*l* add-cbrt-cube
2×unswap-sqr
1×pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp
Counts
1 → 22
Calls
1 calls:
10.0ms
(* y (sqrt x))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(* y (sqrt x))

simplify91.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0148113
1616100
2303894
3500194

prune49.0ms

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)))

rewrite55.0ms

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))
15.0ms
(* y (sqrt (sqrt x)))
33.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series379.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(sqrt (sqrt x))
132.0ms
(sqrt (sqrt x))
75.0ms
(* y (sqrt (sqrt x)))
37.0ms
(* (* 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

prune210.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize21.0ms

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)

rewrite15.0ms

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)

series749.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(* (cbrt x) (cbrt x))
185.0ms
(cbrt x)
184.0ms
(cbrt x)
183.0ms
(cbrt x)

simplify114.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (109.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune344.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (sqrt x))
0.6b
(cbrt (sqrt x))
0.6b
(cbrt (sqrt x))
0.6b
(cbrt (sqrt x))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity sqrt-prod
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 56
Calls
4 calls:
1.0ms
(cbrt (sqrt x))
1.0ms
(cbrt (sqrt x))
1.0ms
(cbrt (sqrt x))
2.0ms
(cbrt (sqrt x))

series611.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(cbrt (sqrt x))
156.0ms
(cbrt (sqrt x))
153.0ms
(cbrt (sqrt x))
150.0ms
(cbrt (sqrt x))

simplify42.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (37.0ms)

IterNodesCost
080328
1204304
2931284
35001276

prune445.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes82.0ms

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

sample747.0ms

Algorithm
intervals
Results
182.0ms8630×body80nan
178.0ms8511×body80valid
0.0ms3×body1280valid
0.0ms1×body320valid