Details

Time bar (total: 5.1s)

sample47.0ms

Algorithm
intervals
Results
23.0ms704×body80nan
9.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0127
1167
2167

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 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))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
12×times-frac
8×log-prod distribute-lft-out
7×add-sqr-sqrt add-cube-cbrt
4×div-inv add-log-exp
3×pow1 add-exp-log log-div
2×distribute-rgt-out flip3-+ frac-add add-cbrt-cube flip-+
1×+-commutative rem-log-exp sum-log log-pow
Counts
2 → 37
Calls
2 calls:
26.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
25.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

series386.0ms

Counts
2 → 6
Calls
2 calls:
286.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
99.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

simplify34.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0326496
11103455
25001447

prune111.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
46×*-un-lft-identity
24×times-frac
16×add-sqr-sqrt sqrt-prod distribute-lft-out
14×add-cube-cbrt
8×div-inv add-log-exp
6×pow1 sqrt-div
4×add-exp-log distribute-rgt-out flip3-+ frac-add add-cbrt-cube flip-+
2×+-commutative rem-sqrt-square sqrt-pow1 pow1/2 sum-log
Counts
4 → 76
Calls
4 calls:
25.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
25.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
47.0ms
(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
48.0ms
(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

series599.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
106.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
196.0ms
(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
198.0ms
(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

simplify42.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
03921018
11303954
25001920

prune311.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3)))
0.0b
(log (- (+ (/ (sqrt 1.0) x) (/ 1.0 x)) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))))
0.0b
(- (+ (/ (sqrt 1.0) x) (/ 1.0 x)) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3)))))

rewrite399.0ms

Algorithm
rewrite-expression-head
Rules
240×times-frac
220×associate-*r*
188×add-sqr-sqrt
140×unpow-prod-down cube-prod
130×*-un-lft-identity
120×add-cube-cbrt
80×sqrt-prod
40×sqr-pow
30×cube-mult unpow3
27×add-exp-log
25×unswap-sqr
18×frac-sub
15×add-log-exp
13×associate-*r/
12×flip3-+ frac-add flip-+
11×log-div
10×prod-exp
9×div-exp
8×add-cbrt-cube
6×pow1 pow-to-exp log-prod pow-exp
4×diff-log sum-log distribute-lft-out--
3×associate-*l*
2×flip3-- flip-- cbrt-unprod distribute-lft-out difference-of-squares
1×cbrt-undiv sub-neg rem-log-exp pow-prod-down associate--l+ log-pow *-commutative div-inv associate--r+
Counts
3 → 325
Calls
3 calls:
70.0ms
(* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3)))
97.0ms
(log (- (+ (/ (sqrt 1.0) x) (/ 1.0 x)) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))))
210.0ms
(- (+ (/ (sqrt 1.0) x) (/ 1.0 x)) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3)))))

series771.0ms

Counts
3 → 9
Calls
3 calls:
138.0ms
(* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3)))
434.0ms
(log (- (+ (/ (sqrt 1.0) x) (/ 1.0 x)) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))))
199.0ms
(- (+ (/ (sqrt 1.0) x) (/ 1.0 x)) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3)))))

simplify63.0ms

Algorithm
egg-herbie
Counts
334 → 334
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
013373865
150013416

prune662.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes31.0ms

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
01217
11217

end0.0ms

sample1.4s

Algorithm
intervals
Results
722.0ms24239×body80nan
291.0ms8000×body80valid