Details

Time bar (total: 5.1s)

sample50.0ms

Algorithm
intervals
Results
25.0ms751×body80nan
9.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0127
1167
2187
3187

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (sqrt (- 1.0 (* x x))) x)
0.0b
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity
27×times-frac
25×add-sqr-sqrt
21×add-cube-cbrt
16×sqrt-prod
8×log-prod
7×associate-/l*
5×add-exp-log
4×add-cbrt-cube distribute-lft-out difference-of-squares
3×pow1 log-div associate-/r* div-inv
2×expm1-log1p-u sqrt-div log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv distribute-rgt-out flip3-- frac-2neg flip3-+ div-exp rem-log-exp frac-add clear-num log-pow flip-- flip-+
Counts
2 → 69
Calls
2 calls:
6.0ms
(/ (sqrt (- 1.0 (* x x))) x)
19.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

series431.0ms

Counts
2 → 6
Calls
2 calls:
130.0ms
(/ (sqrt (- 1.0 (* x x))) x)
300.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

simplify43.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0436723
11521687
25001677

prune194.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (- 1.0 (* x x)))
0.3b
(/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt x))
0.3b
(/ (fabs (cbrt (- 1.0 (* x x)))) (* (sqrt x) 1))
0.5b
(* (/ (fabs (cbrt (- 1.0 (* x x)))) (* (sqrt x) 1)) (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt x)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
161×sqrt-prod
132×times-frac
125×add-sqr-sqrt
91×add-cube-cbrt *-un-lft-identity
64×associate-*r*
58×cbrt-prod
41×add-exp-log
32×add-cbrt-cube
14×div-exp prod-exp difference-of-squares
13×associate-/l*
10×cbrt-undiv
9×cbrt-unprod
7×associate-*l* associate-/r* unswap-sqr
6×pow1
4×expm1-log1p-u cbrt-div log1p-expm1-u div-inv add-log-exp
3×1-exp
2×flip3-- frac-2neg sqrt-div clear-num flip-- associate-/l/
1×frac-times sqrt-undiv pow1/3 associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 239
Calls
4 calls:
3.0ms
(cbrt (- 1.0 (* x x)))
9.0ms
(/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt x))
6.0ms
(/ (fabs (cbrt (- 1.0 (* x x)))) (* (sqrt x) 1))
31.0ms
(* (/ (fabs (cbrt (- 1.0 (* x x)))) (* (sqrt x) 1)) (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt x)))

series624.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(cbrt (- 1.0 (* x x)))
142.0ms
(/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt x))
36.0ms
(/ (fabs (cbrt (- 1.0 (* x x)))) (* (sqrt x) 1))
242.0ms
(* (/ (fabs (cbrt (- 1.0 (* x x)))) (* (sqrt x) 1)) (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt x)))

simplify66.0ms

Algorithm
egg-herbie
Counts
251 → 251
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
011923665
150013361

prune766.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (sqrt (- 1.0 (* x x))) x)
0.0b
(/ (sqrt (- 1.0 (* x x))) x)
0.1b
(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
0.1b
(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
90×add-sqr-sqrt
68×times-frac
58×*-un-lft-identity
52×sqrt-prod
42×add-cube-cbrt
14×associate-/l*
12×hypot-def
10×sqrt-div
8×add-exp-log add-cbrt-cube distribute-lft-out difference-of-squares
6×pow1 associate-/r* div-inv
4×expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
2×cbrt-undiv rem-sqrt-square distribute-rgt-out flip3-- frac-2neg sqrt-pow1 flip3-+ pow1/2 div-exp frac-add clear-num flip-- flip-+
Counts
4 → 152
Calls
4 calls:
6.0ms
(/ (sqrt (- 1.0 (* x x))) x)
6.0ms
(/ (sqrt (- 1.0 (* x x))) x)
25.0ms
(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
22.0ms
(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

series707.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(/ (sqrt (- 1.0 (* x x))) x)
134.0ms
(/ (sqrt (- 1.0 (* x x))) x)
218.0ms
(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
212.0ms
(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

simplify56.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
05151466
117181416
250021378

prune585.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes30.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02117
12317
22317

end0.0ms

sample1.4s

Algorithm
intervals
Results
708.0ms23594×body80nan
289.0ms8000×body80valid