Details

Time bar (total: 3.6s)

sample48.0ms

Algorithm
intervals
Results
13.0ms582×body80nan
11.0ms240×body160nan
8.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1115
2115

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (sqrt (- (* x x) 1.0)))
31.8b
(sqrt (- (* x x) 1.0))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×sqrt-prod add-log-exp
3×pow1 add-cube-cbrt
2×add-exp-log sqrt-div add-cbrt-cube
1×+-commutative rem-sqrt-square flip3-- sqrt-pow1 flip3-+ pow1/2 sum-log flip-- flip-+ distribute-lft-out difference-of-squares
Counts
2 → 28
Calls
2 calls:
9.0ms
(+ x (sqrt (- (* x x) 1.0)))
5.0ms
(sqrt (- (* x x) 1.0))

series118.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(+ x (sqrt (- (* x x) 1.0)))
50.0ms
(sqrt (- (* x x) 1.0))

simplify75.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 3 (72.0ms)

IterNodesCost
0217221
1657211
22555205
35001204

prune88.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
0.5b
(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
15×sqrt-prod
12×sqrt-div
10×*-un-lft-identity
9×associate-*r*
7×associate-*l*
6×pow1 add-cube-cbrt
4×add-exp-log frac-times flip3-+ add-cbrt-cube flip-+ add-log-exp unswap-sqr
3×flip3-- pow-prod-down flip--
2×sqrt-pow1 pow1/2 associate-*r/ associate-*l/ difference-of-squares
1×+-commutative sqrt-unprod prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out distribute-lft-out--
Counts
2 → 53
Calls
2 calls:
2.0ms
(+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
28.0ms
(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

series549.0ms

Counts
2 → 6
Calls
2 calls:
346.0ms
(+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
202.0ms
(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

simplify43.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0360656
11271612
25002600

prune159.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (sqrt 1.0))) (cbrt (+ x (sqrt 1.0))))
0.5b
(cbrt (+ x (sqrt 1.0)))
0.5b
(cbrt (+ x (sqrt 1.0)))
0.5b
(cbrt (+ x (sqrt 1.0)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
27.0ms
(* (cbrt (+ x (sqrt 1.0))) (cbrt (+ x (sqrt 1.0))))
3.0ms
(cbrt (+ x (sqrt 1.0)))
3.0ms
(cbrt (+ x (sqrt 1.0)))
3.0ms
(cbrt (+ x (sqrt 1.0)))

series558.0ms

Counts
4 → 12
Calls
4 calls:
165.0ms
(* (cbrt (+ x (sqrt 1.0))) (cbrt (+ x (sqrt 1.0))))
129.0ms
(cbrt (+ x (sqrt 1.0)))
130.0ms
(cbrt (+ x (sqrt 1.0)))
133.0ms
(cbrt (+ x (sqrt 1.0)))

simplify50.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
03371030
11178966
25002899

prune368.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes13.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01819
11819

end0.0ms

sample1.4s

Algorithm
intervals
Results
373.0ms7651×body160nan
359.0ms16162×body80nan
242.0ms8000×body80valid