Details

Time bar (total: 1.2s)

sample12.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0115
1125
2125

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
75×*-un-lft-identity
50×times-frac
45×add-sqr-sqrt
31×add-cube-cbrt
21×fma-def
11×distribute-lft-out
9×associate-/r* distribute-lft-out--
7×add-exp-log add-cbrt-cube difference-of-squares
6×associate-/r/ associate-/l*
5×add-log-exp
3×pow1 expm1-log1p-u log1p-expm1-u div-inv
2×cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+
1×+-commutative frac-add sum-log
Counts
3 → 114
Calls
3 calls:
24.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
5.0ms
(/ 1.0 (- x 1.0))
6.0ms
(/ x (+ x 1.0))

series192.0ms

Counts
3 → 9
Calls
3 calls:
125.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
28.0ms
(/ 1.0 (- x 1.0))
39.0ms
(/ x (+ x 1.0))

simplify40.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0400551
11470525
25001521

prune227.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) (* 1.0 1.0))
0.0b
(/ x (+ x 1.0))
0.7b
(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity
24×times-frac
21×add-sqr-sqrt add-cube-cbrt
8×associate-/r*
7×add-exp-log add-cbrt-cube
6×associate-/l*
5×add-log-exp difference-of-squares
4×associate-/r/ distribute-lft-out
3×pow1 expm1-log1p-u log1p-expm1-u
2×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- div-inv
1×sub-neg flip3-+ fma-neg diff-log prod-diff flip-+
Counts
3 → 87
Calls
3 calls:
4.0ms
(- (* x x) (* 1.0 1.0))
5.0ms
(/ x (+ x 1.0))
5.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

series130.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(- (* x x) (* 1.0 1.0))
33.0ms
(/ x (+ x 1.0))
52.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify41.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0356558
11478514
25002507

prune209.0ms

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
0108
1108

end0.0ms

sample270.0ms

Algorithm
intervals
Results
185.0ms8000×body80valid