Details

Time bar (total: 2.8s)

sample285.0ms

Algorithm
intervals
Results
19.0ms793×body80nan
5.0ms256×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
094
1104
2104

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize7.0ms

Local error

Found 1 expressions with local error:

0.5b
(* (sqrt (- x 1.0)) (sqrt x))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
12×sqrt-prod
8×associate-*l*
7×*-un-lft-identity
6×associate-*r*
5×pow1 add-cube-cbrt
4×unswap-sqr
3×add-exp-log pow-prod-down add-cbrt-cube
2×sqrt-pow1 pow1/2 sqrt-div associate-*l/
1×expm1-log1p-u flip3-- sqrt-unprod prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 36
Calls
1 calls:
15.0ms
(* (sqrt (- x 1.0)) (sqrt x))

series84.0ms

Counts
1 → 3
Calls
1 calls:
84.0ms
(* (sqrt (- x 1.0)) (sqrt x))

simplify78.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0188226
1635215
22636210
35002210

prune77.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune4.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (sqrt (- x 1.0))) (cbrt (sqrt (- x 1.0))))
0.5b
(cbrt (sqrt (- x 1.0)))
0.5b
(cbrt (sqrt (- x 1.0)))
0.5b
(cbrt (sqrt (- x 1.0)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
76×cbrt-prod
58×add-sqr-sqrt
47×sqrt-prod
42×*-un-lft-identity
22×add-cube-cbrt
18×cbrt-div sqrt-div
15×swap-sqr
11×pow1 associate-*r* associate-*l*
9×flip3-- pow1/3 flip-- distribute-lft-out-- unswap-sqr
7×difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 134
Calls
4 calls:
24.0ms
(* (cbrt (sqrt (- x 1.0))) (cbrt (sqrt (- x 1.0))))
3.0ms
(cbrt (sqrt (- x 1.0)))
3.0ms
(cbrt (sqrt (- x 1.0)))
3.0ms
(cbrt (sqrt (- x 1.0)))

series469.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(* (cbrt (sqrt (- x 1.0))) (cbrt (sqrt (- x 1.0))))
113.0ms
(cbrt (sqrt (- x 1.0)))
113.0ms
(cbrt (sqrt (- x 1.0)))
120.0ms
(cbrt (sqrt (- x 1.0)))

simplify49.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03701351
112431277
250021184

prune343.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

30.7b
(pow (* (- x 1.0) x) 1/2)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-exp-log
3×pow-unpow
2×add-sqr-sqrt add-cube-cbrt pow-pow *-un-lft-identity pow-exp
1×expm1-log1p-u pow-to-exp unpow-prod-down pow-prod-down prod-exp add-cbrt-cube log1p-expm1-u unpow1/2 add-log-exp sqr-pow
Counts
1 → 20
Calls
1 calls:
5.0ms
(pow (* (- x 1.0) x) 1/2)

series100.0ms

Counts
1 → 3
Calls
1 calls:
100.0ms
(pow (* (- x 1.0) x) 1/2)

simplify91.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 3 (88.0ms)

IterNodesCost
0154125
1506113
22594100
3500199

prune42.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093
193

end0.0ms

sample1.1s

Algorithm
intervals
Results
561.0ms23983×body80nan
162.0ms7997×body80valid
0.0ms3×body160valid