Details

Time bar (total: 5.1s)

sample50.0ms

Algorithm
intervals
Results
22.0ms789×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

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
49×*-un-lft-identity
42×times-frac
39×add-sqr-sqrt
33×add-cube-cbrt
20×sqrt-prod
13×fma-def
8×log-prod distribute-lft-out
7×add-exp-log associate-/l*
6×pow1 add-cbrt-cube div-inv add-log-exp
5×difference-of-squares
4×expm1-log1p-u sqrt-div log1p-expm1-u
3×log-div associate-/r*
2×distribute-rgt-out flip3-- flip3-+ frac-add flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-exp rem-log-exp clear-num sum-log log-pow
Counts
4 → 119
Calls
4 calls:
7.0ms
(sqrt (- 1.0 (* x x)))
31.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
34.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
12.0ms
(/ (sqrt (- 1.0 (* x x))) x)

series568.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(sqrt (- 1.0 (* x x)))
278.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
99.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
130.0ms
(/ (sqrt (- 1.0 (* x x))) x)

simplify52.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
05371057
119211003
25001992

prune325.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite340.0ms

Algorithm
rewrite-expression-head
Rules
91×*-un-lft-identity
64×cbrt-prod
42×times-frac
37×add-sqr-sqrt
33×cbrt-div
30×distribute-lft-out
29×add-cube-cbrt
14×div-inv
13×swap-sqr
11×pow1 flip3-+ associate-*r* associate-*l* frac-add flip-+
9×frac-times pow1/3
7×distribute-rgt-out
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
3×associate-*r/ associate-*l/
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 137
Calls
4 calls:
29.0ms
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
30.0ms
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
29.0ms
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
244.0ms
(* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))

series1.6s

Counts
4 → 12
Calls
4 calls:
369.0ms
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
353.0ms
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
354.0ms
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
545.0ms
(* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))

simplify91.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06082679
124572563
250022391

prune451.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes47.0ms

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
0107
1107

end0.0ms

sample1.5s

Algorithm
intervals
Results
694.0ms24267×body80nan
289.0ms8000×body80valid