Details

Time bar (total: 4.5s)

sample32.0ms

Algorithm
intervals
Results
11.0ms276×body80valid
9.0ms276×body80nan

simplify20.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
0134
1253
2443
3693
41023
51713
61923
72253
83163
93513
103513

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

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
expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp
Counts
1 → 24
Calls
1 calls:
5.0ms
(* y (sqrt x))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(* y (sqrt x))

simplify94.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0154119
1632106
23199100
35002100

prune56.0ms

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)))

rewrite28.0ms

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
expm1-log1p-u rem-sqrt-square pow1/2 associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
unswap-sqr
*-commutative
Counts
4 → 96
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)))

series395.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(sqrt (sqrt x))
137.0ms
(sqrt (sqrt x))
81.0ms
(* y (sqrt (sqrt x)))
46.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify51.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0351549
11519488
25001461

prune225.0ms

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*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
5.0ms
(* (cbrt x) (cbrt x))
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series734.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(* (cbrt x) (cbrt x))
176.0ms
(cbrt x)
174.0ms
(cbrt x)
182.0ms
(cbrt x)

simplify90.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune348.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize26.0ms

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 expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 53
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
3.0ms
(cbrt (* (cbrt x) (cbrt x)))

series879.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt x)
176.0ms
(cbrt x)
259.0ms
(cbrt (cbrt x))
269.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify102.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 4 (98.0ms)

IterNodesCost
0112239
1242219
2759209
33150209
45002204

prune325.0ms

Pruning

5 alts after pruning (2 fresh and 3 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

sample917.0ms

Algorithm
intervals
Results
358.0ms8538×body80valid
299.0ms8451×body80nan
0.0msbody1280valid
0.0msbody320valid