Details

Time bar (total: 3.0s)

sample49.0ms

Algorithm
intervals
Results
21.0ms733×body80nan
12.0ms256×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

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
35×*-un-lft-identity
31×add-sqr-sqrt
27×add-cube-cbrt
16×sqrt-prod
13×fma-def
7×associate-/l*
4×add-exp-log add-cbrt-cube div-inv distribute-lft-out add-log-exp difference-of-squares
3×associate-/r*
2×pow1 expm1-log1p-u sqrt-div log1p-expm1-u associate-/l/
1×cbrt-undiv +-commutative distribute-rgt-out flip3-- frac-2neg flip3-+ div-exp frac-add clear-num sum-log flip-- flip-+
Counts
2 → 79
Calls
2 calls:
25.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
6.0ms
(/ (sqrt (- 1.0 (* x x))) x)

series230.0ms

Counts
2 → 6
Calls
2 calls:
101.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
129.0ms
(/ (sqrt (- 1.0 (* x x))) x)

simplify39.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0344608
11103586
25001574

prune251.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
42×sqrt-prod
41×times-frac
34×add-cube-cbrt *-un-lft-identity
7×associate-/l*
6×pow1 add-exp-log add-cbrt-cube
4×expm1-log1p-u rem-sqrt-square sqrt-div log1p-expm1-u add-log-exp difference-of-squares
3×associate-/r* div-inv
2×sqrt-pow1 pow1/2 associate-/l/
1×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- fma-udef
Counts
4 → 111
Calls
4 calls:
6.0ms
(/ (sqrt (- 1.0 (* x x))) x)
2.0ms
(sqrt (/ 1.0 x))
2.0ms
(sqrt (/ 1.0 x))
0.0ms
(fma (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)) (/ (sqrt (- 1.0 (* x x))) x))

series483.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(/ (sqrt (- 1.0 (* x x))) x)
59.0ms
(sqrt (/ 1.0 x))
59.0ms
(sqrt (/ 1.0 x))
238.0ms
(fma (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)) (/ (sqrt (- 1.0 (* x x))) x))

simplify48.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0468918
11590836
25001809

prune437.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01010

end0.0ms

sample1.4s

Algorithm
intervals
Results
707.0ms23881×body80nan
293.0ms8000×body80valid