Details

Time bar (total: 1.8s)

sample27.0ms

Algorithm
intervals
Results
15.0ms118×body1280valid
4.0ms138×body80valid

simplify19.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0155
1305
2434
3504
4564
5624
6644
7644

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 18.0b

localize7.0ms

Local error

Found 1 expressions with local error:

28.5b
(fma (- (/ 1.0 x)) (fabs x) 1)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (- (/ 1.0 x)) (fabs x) 1)

series78.0ms

Counts
1 → 3
Calls
1 calls:
78.0ms
(fma (- (/ 1.0 x)) (fabs x) 1)

simplify64.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
03476
17367
226367
3136667
4500167

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (- (/ 1.0 x)) (fabs x))
5.1b
(+ (* (- (/ 1.0 x)) (fabs x)) 1)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
30×associate-*l*
20×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity times-frac
13×distribute-lft-neg-in distribute-rgt-neg-in
pow1 add-exp-log add-cbrt-cube add-log-exp
associate-*r*
expm1-log1p-u log1p-expm1-u div-inv
+-commutative distribute-lft-neg-out neg-mul-1 fma-def flip3-+ pow-prod-down associate-*l/ prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-neg-frac unswap-sqr
Counts
2 → 63
Calls
2 calls:
16.0ms
(* (- (/ 1.0 x)) (fabs x))
7.0ms
(+ (* (- (/ 1.0 x)) (fabs x)) 1)

series105.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(* (- (/ 1.0 x)) (fabs x))
61.0ms
(+ (* (- (/ 1.0 x)) (fabs x)) 1)

simplify157.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0275372
11065348
24927341
35001341

prune166.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (- (/ 1.0 x)) (fabs x))
0.5b
(expm1 (* (- (/ 1.0 x)) (fabs x)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
30×associate-*l*
20×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity times-frac
13×distribute-lft-neg-in distribute-rgt-neg-in
pow1 add-exp-log add-cbrt-cube
associate-*r* log1p-expm1-u
expm1-log1p-u div-inv add-log-exp
distribute-lft-neg-out neg-mul-1 expm1-log1p pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod distribute-neg-frac expm1-udef unswap-sqr
Counts
2 → 60
Calls
2 calls:
20.0ms
(* (- (/ 1.0 x)) (fabs x))
0.0ms
(expm1 (* (- (/ 1.0 x)) (fabs x)))

series71.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(* (- (/ 1.0 x)) (fabs x))
26.0ms
(expm1 (* (- (/ 1.0 x)) (fabs x)))

simplify38.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0258360
1839337
25001337

prune198.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0187
1227
2237
3237

end0.0ms

sample759.0ms

Algorithm
intervals
Results
527.0ms3953×body1280valid
128.0ms4047×body80valid