Details

Time bar (total: 1.3s)

sample32.0ms

Algorithm
intervals
Results
21.0ms140×body1280valid
3.0ms116×body80valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0155
1305
2434
3504
4564
5624
6644
7644

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 18.5b

localize7.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (/ 1.0 x) (sqrt (* x x)))
4.6b
(- (/ x x) (* (/ 1.0 x) (sqrt (* x x))))
26.7b
(sqrt (* x x))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
29×times-frac
25×add-cube-cbrt *-un-lft-identity
13×pow1 fma-neg associate-*l* prod-diff
8×add-exp-log add-cbrt-cube
6×sqrt-pow1
5×add-log-exp
4×associate-*r* sqrt-prod unswap-sqr
3×expm1-log1p-u associate-*l/ log1p-expm1-u div-inv
2×pow-prod-down prod-exp cbrt-unprod
1×cbrt-undiv pow2 sub-neg rem-sqrt-square flip3-- pow-plus pow1/2 diff-log div-exp pow-sqr *-commutative pow-prod-up frac-sub flip-- sub-div
Counts
3 → 97
Calls
3 calls:
13.0ms
(* (/ 1.0 x) (sqrt (* x x)))
15.0ms
(- (/ x x) (* (/ 1.0 x) (sqrt (* x x))))
2.0ms
(sqrt (* x x))

series10.0ms

Counts
3 → 9
Calls
3 calls:
1.0ms
(* (/ 1.0 x) (sqrt (* x x)))
1.0ms
(- (/ x x) (* (/ 1.0 x) (sqrt (* x x))))
8.0ms
(sqrt (* x x))

simplify75.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0336672
11694550
25001522

prune210.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize10.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune2.0ms

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
085
185

end0.0ms

sample909.0ms

Algorithm
intervals
Results
690.0ms3994×body1280valid
118.0ms4006×body80valid