Details

Time bar (total: 15.1s)

sample366.0ms

Algorithm
intervals
Results
307.0ms3326×body80valid

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
09061
138958
2211536
3500136

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.3b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.7b
(pow (/ 1.0 (fabs x)) 3)
0.7b
(pow (/ 1.0 (fabs x)) 3)
1.0b
(sqrt PI)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt times-frac
63×add-cube-cbrt *-un-lft-identity
26×unpow-prod-down cube-prod
22×add-exp-log add-cbrt-cube
14×pow1
13×swap-sqr associate-*r* associate-*l*
8×div-inv
6×cbrt-undiv pow-unpow div-exp
4×pow-exp prod-exp cbrt-unprod add-log-exp rem-cube-cbrt unswap-sqr
3×sqrt-prod
2×cube-div cube-mult pow-to-exp pow-pow unpow3 sqr-pow
1×pow2 frac-times rem-sqrt-square sqrt-pow1 pow-plus pow1/2 associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up
Counts
4 → 172
Calls
4 calls:
11.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
5.0ms
(pow (/ 1.0 (fabs x)) 3)
5.0ms
(pow (/ 1.0 (fabs x)) 3)
2.0ms
(sqrt PI)

series96.0ms

Counts
4 → 10
Calls
4 calls:
24.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
34.0ms
(pow (/ 1.0 (fabs x)) 3)
37.0ms
(pow (/ 1.0 (fabs x)) 3)
0.0ms
(sqrt PI)

simplify123.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 2 (110.0ms)

IterNodesCost
05841144
13655959
25003912

prune735.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 0.4b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.5b
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.7b
(pow (/ 1.0 (fabs x)) 3)
1.0b
(sqrt PI)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
101×add-sqr-sqrt
98×times-frac
76×add-cube-cbrt *-un-lft-identity
31×add-exp-log add-cbrt-cube
26×swap-sqr associate-*r* associate-*l*
20×pow1
13×unpow-prod-down cube-prod
10×div-inv
9×cbrt-undiv div-exp
8×prod-exp cbrt-unprod unswap-sqr
4×add-log-exp
3×pow-unpow sqrt-prod
2×pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ pow-exp pow-sqr *-commutative pow-prod-up rem-cube-cbrt
1×cube-div cube-mult pow-to-exp rem-sqrt-square pow-pow sqrt-pow1 pow1/2 unpow3 sqr-pow
Counts
4 → 193
Calls
4 calls:
11.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
11.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
5.0ms
(pow (/ 1.0 (fabs x)) 3)
1.0ms
(sqrt PI)

series87.0ms

Counts
4 → 10
Calls
4 calls:
24.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
24.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
39.0ms
(pow (/ 1.0 (fabs x)) 3)
0.0ms
(sqrt PI)

simplify107.0ms

Algorithm
egg-herbie
Counts
203 → 203
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
05351298
133211112
25001972

prune984.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.2b

localize40.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (/ (sqrt 1.0) 1) (/ (* 1.0 (sqrt 1.0)) (pow (fabs x) 2))) (/ (pow 1.0 3) (pow (fabs x) 3)))
0.5b
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.7b
(pow (/ 1.0 (fabs x)) 3)
1.0b
(sqrt PI)

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
1015×add-exp-log
524×prod-exp
523×div-exp
202×times-frac
194×pow-exp
193×pow-to-exp
161×associate-*r*
134×add-sqr-sqrt
121×add-cube-cbrt *-un-lft-identity
85×unpow-prod-down cube-prod
84×add-cbrt-cube
70×1-exp
34×cbrt-unprod
26×cbrt-undiv
25×cube-mult unpow3 sqr-pow
18×pow1
14×associate-*l*
13×swap-sqr
7×div-inv
6×frac-times associate-*l/
4×associate-*r/ pow-prod-down add-log-exp unswap-sqr
3×pow-unpow sqrt-prod
2×*-commutative rem-cube-cbrt
1×cube-div pow2 rem-sqrt-square pow-pow sqrt-pow1 pow-plus pow1/2 pow-sqr pow-prod-up
Counts
4 → 526
Calls
4 calls:
44.0ms
(* (* (/ (sqrt 1.0) 1) (/ (* 1.0 (sqrt 1.0)) (pow (fabs x) 2))) (/ (pow 1.0 3) (pow (fabs x) 3)))
11.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
5.0ms
(pow (/ 1.0 (fabs x)) 3)
1.0ms
(sqrt PI)

series261.0ms

Counts
4 → 10
Calls
4 calls:
202.0ms
(* (* (/ (sqrt 1.0) 1) (/ (* 1.0 (sqrt 1.0)) (pow (fabs x) 2))) (/ (pow 1.0 3) (pow (fabs x) 3)))
24.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
34.0ms
(pow (/ 1.0 (fabs x)) 3)
0.0ms
(sqrt PI)

simplify92.0ms

Algorithm
egg-herbie
Counts
536 → 536
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
019576352
150015134

prune1.5s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.2b

localize47.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.7b
(pow (/ 1.0 (fabs x)) 3)
1.0b
(sqrt PI)
1.0b
(sqrt PI)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
58×times-frac
49×add-cube-cbrt *-un-lft-identity
19×add-exp-log add-cbrt-cube
14×pow1
13×unpow-prod-down cube-prod swap-sqr associate-*r* associate-*l*
6×sqrt-prod div-inv
5×cbrt-undiv div-exp
4×prod-exp cbrt-unprod add-log-exp unswap-sqr
3×pow-unpow
2×rem-sqrt-square sqrt-pow1 pow1/2 pow-exp rem-cube-cbrt
1×cube-div pow2 cube-mult frac-times pow-to-exp pow-pow pow-plus unpow3 associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up sqr-pow
Counts
4 → 139
Calls
4 calls:
10.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
5.0ms
(pow (/ 1.0 (fabs x)) 3)
1.0ms
(sqrt PI)
2.0ms
(sqrt PI)

series64.0ms

Counts
4 → 8
Calls
4 calls:
24.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
41.0ms
(pow (/ 1.0 (fabs x)) 3)
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify102.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
0535845
13321720
25001646

prune793.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 0.1b

regimes559.0ms

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05544
15744
25744

end0.0ms

sample8.9s

Algorithm
intervals
Results
7.8s86600×body80valid