Details

Time bar (total: 8.0s)

sample322.0ms

Algorithm
intervals
Results
254.0ms3210×body80valid

simplify63.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
09061
138958
2211536
3500136

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.1b

localize26.0ms

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)

rewrite43.0ms

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:
23.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
6.0ms
(pow (/ 1.0 (fabs x)) 3)
6.0ms
(pow (/ 1.0 (fabs x)) 3)
1.0ms
(sqrt PI)

series84.0ms

Counts
4 → 10
Calls
4 calls:
26.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
29.0ms
(pow (/ 1.0 (fabs x)) 3)
29.0ms
(pow (/ 1.0 (fabs x)) 3)
0.0ms
(sqrt PI)

simplify123.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 2 (111.0ms)

IterNodesCost
05841144
13655959
25003912

prune686.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 0.3b

localize30.0ms

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)

rewrite60.0ms

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:
23.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
21.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
6.0ms
(pow (/ 1.0 (fabs x)) 3)
1.0ms
(sqrt PI)

series78.0ms

Counts
4 → 10
Calls
4 calls:
21.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
26.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
30.0ms
(pow (/ 1.0 (fabs x)) 3)
0.0ms
(sqrt PI)

simplify108.0ms

Algorithm
egg-herbie
Counts
203 → 203
Iterations

Useful iterations: 2 (94.0ms)

IterNodesCost
05351295
133211109
25001969

prune886.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.2b

localize33.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (/ (* (* 1.0 1.0) 1.0) (* (* (fabs x) (fabs x)) (fabs x))))
0.5b
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.7b
(pow (/ 1.0 (fabs x)) 3)
1.0b
(sqrt PI)

rewrite170.0ms

Algorithm
rewrite-expression-head
Rules
334×add-exp-log add-cbrt-cube
184×prod-exp cbrt-unprod
90×cbrt-undiv div-exp
63×add-sqr-sqrt
59×times-frac
49×add-cube-cbrt *-un-lft-identity
18×pow1 associate-*r*
14×associate-*l*
13×unpow-prod-down cube-prod swap-sqr
7×div-inv
6×frac-times associate-*l/
5×unswap-sqr
4×associate-*r/ pow-prod-down add-log-exp
3×pow-unpow sqrt-prod
2×pow-exp *-commutative rem-cube-cbrt
1×cube-div pow2 cube-mult pow-to-exp rem-sqrt-square pow-pow sqrt-pow1 pow-plus pow1/2 unpow3 pow-sqr pow-prod-up sqr-pow
Counts
4 → 250
Calls
4 calls:
120.0ms
(* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (/ (* (* 1.0 1.0) 1.0) (* (* (fabs x) (fabs x)) (fabs x))))
24.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
6.0ms
(pow (/ 1.0 (fabs x)) 3)
1.0ms
(sqrt PI)

series106.0ms

Counts
4 → 10
Calls
4 calls:
48.0ms
(* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (/ (* (* 1.0 1.0) 1.0) (* (* (fabs x) (fabs x)) (fabs x))))
28.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
30.0ms
(pow (/ 1.0 (fabs x)) 3)
0.0ms
(sqrt PI)

simplify48.0ms

Algorithm
egg-herbie
Counts
260 → 260
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
011122858
150011431

prune788.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (* (+ (+ (* (/ 1.0 (pow (fabs x) 5)) (+ (/ 3.0 4.0) (* (/ 1.0 (pow (fabs x) 2)) (/ 15.0 8.0)))) (/ 1.0 (/ 2.0 (pow (/ 1.0 (fabs x)) 3)))) (/ 1.0 (fabs x))) 1.0) (/ (sqrt PI) (exp (* (fabs x) (fabs x)))))
0.3b
(* (/ 1.0 (pow (fabs x) 5)) (+ (/ 3.0 4.0) (* (/ 1.0 (pow (fabs x) 2)) (/ 15.0 8.0))))
0.7b
(pow (/ 1.0 (fabs x)) 3)
1.0b
(sqrt PI)

rewrite995.0ms

Algorithm
rewrite-expression-head
Rules
100×times-frac
72×add-sqr-sqrt
61×add-cube-cbrt *-un-lft-identity
36×frac-add
27×add-exp-log
25×associate-*l*
24×add-cbrt-cube
23×unpow-prod-down
22×associate-/r*
21×associate-*l/ sqrt-prod
15×associate-/l/
14×frac-times associate-*r/
13×cube-prod
10×div-exp
8×pow1 cbrt-undiv
6×flip3-+ prod-exp flip-+ div-inv
5×sqr-pow
4×cbrt-unprod add-log-exp unswap-sqr
3×pow-unpow associate-*r* pow-exp
2×pow-to-exp rem-cube-cbrt
1×cube-div distribute-rgt-in cube-mult rem-sqrt-square pow-pow frac-2neg distribute-lft-in sqrt-pow1 pow1/2 unpow3 pow-prod-down clear-num associate-/r/ *-commutative associate-/l*
Counts
4 → 198
Calls
4 calls:
919.0ms
(/ (* (+ (+ (* (/ 1.0 (pow (fabs x) 5)) (+ (/ 3.0 4.0) (* (/ 1.0 (pow (fabs x) 2)) (/ 15.0 8.0)))) (/ 1.0 (/ 2.0 (pow (/ 1.0 (fabs x)) 3)))) (/ 1.0 (fabs x))) 1.0) (/ (sqrt PI) (exp (* (fabs x) (fabs x)))))
60.0ms
(* (/ 1.0 (pow (fabs x) 5)) (+ (/ 3.0 4.0) (* (/ 1.0 (pow (fabs x) 2)) (/ 15.0 8.0))))
6.0ms
(pow (/ 1.0 (fabs x)) 3)
1.0ms
(sqrt PI)

series541.0ms

Counts
4 → 10
Calls
4 calls:
398.0ms
(/ (* (+ (+ (* (/ 1.0 (pow (fabs x) 5)) (+ (/ 3.0 4.0) (* (/ 1.0 (pow (fabs x) 2)) (/ 15.0 8.0)))) (/ 1.0 (/ 2.0 (pow (/ 1.0 (fabs x)) 3)))) (/ 1.0 (fabs x))) 1.0) (/ (sqrt PI) (exp (* (fabs x) (fabs x)))))
113.0ms
(* (/ 1.0 (pow (fabs x) 5)) (+ (/ 3.0 4.0) (* (/ 1.0 (pow (fabs x) 2)) (/ 15.0 8.0))))
29.0ms
(pow (/ 1.0 (fabs x)) 3)
0.0ms
(sqrt PI)

simplify64.0ms

Algorithm
egg-herbie
Counts
208 → 208
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
014984012
150023609

prune937.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

regimes202.0ms

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04526
14526

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.3s16571×body80valid