Details

Time bar (total: 4.4s)

sample35.0ms

Algorithm
intervals
Results
12.0ms276×body80valid
10.0ms276×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:

0.2b
(* y (sqrt x))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
associate-*r*
add-cube-cbrt *-un-lft-identity sqrt-prod
pow1 add-exp-log associate-*l* add-cbrt-cube
unswap-sqr
pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp
Counts
1 → 22
Calls
1 calls:
4.0ms
(* y (sqrt x))

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(* y (sqrt x))

simplify93.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0148113
1616100
2303894
3500194

prune51.0ms

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)))
0.3b
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite27.0ms

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
sqrt-pow1
rem-sqrt-square pow1/2 associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
unswap-sqr
*-commutative
Counts
4 → 88
Calls
4 calls:
1.0ms
(sqrt (sqrt x))
1.0ms
(sqrt (sqrt x))
6.0ms
(* y (sqrt (sqrt x)))
16.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series406.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(sqrt (sqrt x))
130.0ms
(sqrt (sqrt x))
103.0ms
(* y (sqrt (sqrt x)))
42.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify43.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0336516
11481454
25001427

prune197.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize16.0ms

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
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
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)

series741.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(* (cbrt x) (cbrt x))
180.0ms
(cbrt x)
176.0ms
(cbrt x)
181.0ms
(cbrt x)

simplify89.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune320.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 45
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
3.0ms
(cbrt (* (cbrt x) (cbrt x)))

series872.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt x)
175.0ms
(cbrt x)
242.0ms
(cbrt (cbrt x))
274.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify121.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 4 (118.0ms)

IterNodesCost
0106215
1236195
2753185
33141185
45001180

prune275.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes68.0ms

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

sample975.0ms

Algorithm
intervals
Results
383.0ms8538×body80valid
317.0ms8451×body80nan
0.0msbody1280valid
0.0msbody320valid