Details

Time bar (total: 4.0s)

sample58.0ms

Algorithm
intervals
Results
26.0ms782×body80nan
10.0ms256×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0127
1167
2167

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
33×times-frac
32×add-sqr-sqrt
26×add-cube-cbrt
20×sqrt-prod
8×log-prod distribute-lft-out
7×add-exp-log associate-/l*
6×pow1 add-cbrt-cube add-log-exp
5×div-inv difference-of-squares
4×sqrt-div
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 → 98
Calls
4 calls:
5.0ms
(sqrt (- 1.0 (* x x)))
12.0ms
(/ (sqrt (- 1.0 (* x x))) x)
33.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
34.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

series571.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(sqrt (- 1.0 (* x x)))
124.0ms
(/ (sqrt (- 1.0 (* x x))) x)
279.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
106.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

simplify50.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
05121017
11798965
25001961

prune275.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* x x) (* x x)) (* 1.0 (* x x)))
0.0b
(/ (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))))
0.1b
(pow (* x x) 3)
0.1b
(* (* x x) (* x x))

rewrite249.0ms

Algorithm
rewrite-expression-head
Rules
222×sqrt-prod
181×add-sqr-sqrt
144×times-frac
123×pow1
112×difference-of-squares
83×*-un-lft-identity
69×add-cube-cbrt
57×unpow-prod-down cube-prod sqr-pow
37×pow-prod-up
24×pow-prod-down associate-/l*
23×pow-sqr
21×add-exp-log add-cbrt-cube
19×pow-plus
14×pow2
9×prod-exp cbrt-unprod
7×difference-cubes distribute-lft-out--
6×pow-pow associate-/r* add-log-exp
4×sqrt-div
3×pow-unpow
2×flip3-+ pow-exp associate-/r/ flip-+ associate-/l/ rem-cube-cbrt
1×cbrt-undiv +-commutative cube-mult pow-to-exp sqrt-undiv distribute-rgt-out flip3-- frac-2neg unpow3 swap-sqr div-exp associate-*r* associate-*l* clear-num sum-log *-commutative flip-- div-inv unswap-sqr
Counts
4 → 292
Calls
4 calls:
30.0ms
(+ (* (* x x) (* x x)) (* 1.0 (* x x)))
166.0ms
(/ (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))))
6.0ms
(pow (* x x) 3)
28.0ms
(* (* x x) (* x x))

series316.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(+ (* (* x x) (* x x)) (* 1.0 (* x x)))
145.0ms
(/ (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))))
44.0ms
(pow (* x x) 3)
38.0ms
(* (* x x) (* x x))

simplify114.0ms

Algorithm
egg-herbie
Counts
304 → 304
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
06865787
125665468
250015389

prune690.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes51.0ms

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 (1.0ms)

IterNodesCost
0107
1107

end0.0ms

sample1.5s

Algorithm
intervals
Results
693.0ms23666×body80nan
293.0ms8000×body80valid