Details

Time bar (total: 6.5s)

sample84.0ms

Algorithm
intervals
Results
48.0ms767×body80nan
19.0ms256×body80valid

simplify7.0ms

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 4 expressions with local error:

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

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
50×*-un-lft-identity
42×times-frac
39×add-sqr-sqrt
34×add-cube-cbrt
16×sqrt-prod
13×fma-def
8×log-prod distribute-lft-out add-log-exp
7×add-exp-log associate-/l*
6×add-cbrt-cube div-inv
5×pow1 difference-of-squares
4×expm1-log1p-u log1p-expm1-u
3×log-div fma-neg prod-diff associate-/r*
2×distribute-rgt-out flip3-- flip3-+ sqrt-div frac-add flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-exp rem-log-exp clear-num sum-log log-pow
Counts
4 → 122
Calls
4 calls:
23.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
29.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
2.0ms
(- 1.0 (* x x))
6.0ms
(/ (sqrt (- 1.0 (* x x))) x)

series537.0ms

Counts
4 → 12
Calls
4 calls:
279.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
98.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
35.0ms
(- 1.0 (* x x))
124.0ms
(/ (sqrt (- 1.0 (* x x))) x)

simplify53.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
05261026
11866963
25001954

prune371.0ms

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
23×add-sqr-sqrt
20×pow1
17×*-un-lft-identity
15×add-cube-cbrt
9×pow1/3 swap-sqr log-pow
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 89
Calls
4 calls:
7.0ms
(* (cbrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))))
1.0ms
(cbrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))
1.0ms
(cbrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))
1.0ms
(cbrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))

series2.3s

Counts
4 → 12
Calls
4 calls:
765.0ms
(* (cbrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))))
528.0ms
(cbrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))
519.0ms
(cbrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))
516.0ms
(cbrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))

simplify85.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
06472072
131271901
250021754

prune335.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes50.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107
1107

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.5s23892×body80nan
596.0ms8000×body80valid