Details

Time bar (total: 21.5s)

sample661.0ms

Algorithm
intervals
Results
591.0ms3587×body80valid

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
09061
138958
2211536
3500136

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.8b
(pow (/ 1.0 (fabs x)) 3)
0.8b
(pow (/ 1.0 (fabs x)) 3)
1.0b
(sqrt PI)

rewrite28.0ms

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:
13.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
4.0ms
(pow (/ 1.0 (fabs x)) 3)
4.0ms
(pow (/ 1.0 (fabs x)) 3)
1.0ms
(sqrt PI)

series98.0ms

Counts
4 → 10
Calls
4 calls:
24.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
34.0ms
(pow (/ 1.0 (fabs x)) 3)
40.0ms
(pow (/ 1.0 (fabs x)) 3)
0.0ms
(sqrt PI)

simplify131.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 2 (112.0ms)

IterNodesCost
05841144
13655959
25003912

prune885.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 0.4b

localize32.0ms

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)))
0.8b
(pow (/ 1.0 (fabs x)) 3)
1.0b
(sqrt PI)

rewrite38.0ms

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:
12.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
13.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
4.0ms
(pow (/ 1.0 (fabs x)) 3)
1.0ms
(sqrt PI)

series86.0ms

Counts
4 → 10
Calls
4 calls:
23.0ms
(* (/ 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
05351295
133211109
25001969

prune884.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 0.2b

localize32.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* (/ (* 1.0 (/ 1.0 (fabs x))) (fabs x)) (/ (* (* 1.0 1.0) 1.0) (* (* (fabs x) (fabs x)) (fabs x)))) (+ (/ 3.0 4.0) (* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (/ 15.0 8.0))))
0.5b
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.8b
(pow (/ 1.0 (fabs x)) 3)
1.0b
(sqrt PI)

rewrite258.0ms

Algorithm
rewrite-expression-head
Rules
309×add-exp-log add-cbrt-cube
177×prod-exp cbrt-unprod
81×cbrt-undiv div-exp
62×add-sqr-sqrt
58×frac-times times-frac
49×add-cube-cbrt *-un-lft-identity
34×associate-*l/
32×associate-*r/
28×frac-add
18×pow1
16×associate-*r*
14×associate-*l*
13×unpow-prod-down cube-prod swap-sqr
6×div-inv
4×flip3-+ pow-prod-down flip-+ add-log-exp unswap-sqr
3×pow-unpow sqrt-prod
2×pow-exp *-commutative rem-cube-cbrt
1×cube-div pow2 distribute-rgt-in cube-mult pow-to-exp rem-sqrt-square pow-pow distribute-lft-in sqrt-pow1 pow-plus pow1/2 unpow3 pow-sqr pow-prod-up sqr-pow
Counts
4 → 263
Calls
4 calls:
217.0ms
(* (* (/ (* 1.0 (/ 1.0 (fabs x))) (fabs x)) (/ (* (* 1.0 1.0) 1.0) (* (* (fabs x) (fabs x)) (fabs x)))) (+ (/ 3.0 4.0) (* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (/ 15.0 8.0))))
12.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
4.0ms
(pow (/ 1.0 (fabs x)) 3)
1.0ms
(sqrt PI)

series190.0ms

Counts
4 → 10
Calls
4 calls:
132.0ms
(* (* (/ (* 1.0 (/ 1.0 (fabs x))) (fabs x)) (/ (* (* 1.0 1.0) 1.0) (* (* (fabs x) (fabs x)) (fabs x)))) (+ (/ 3.0 4.0) (* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (/ 15.0 8.0))))
24.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
34.0ms
(pow (/ 1.0 (fabs x)) 3)
0.0ms
(sqrt PI)

simplify79.0ms

Algorithm
egg-herbie
Counts
273 → 273
Iterations

Useful iterations: 1 (38.0ms)

IterNodesCost
019925676
150013607

prune949.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.1b

localize39.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (* (* 1.0 (/ 1.0 (fabs x))) (* (pow 1.0 3) (+ (* 3.0 (* (* (fabs x) (fabs x)) 8.0)) (* 4.0 (* (* 1.0 1.0) 15.0))))) (* (* (pow (fabs x) 4) (* (pow (fabs x) 2) 4.0)) 8.0))
0.3b
(* (* 1.0 (/ 1.0 (fabs x))) (* (pow 1.0 3) (+ (* 3.0 (* (* (fabs x) (fabs x)) 8.0)) (* 4.0 (* (* 1.0 1.0) 15.0)))))
0.8b
(pow (/ 1.0 (fabs x)) 3)
1.0b
(sqrt PI)

rewrite227.0ms

Algorithm
rewrite-expression-head
Rules
1184×add-exp-log
877×prod-exp
243×div-exp
186×add-cbrt-cube
138×pow-exp
137×pow-to-exp
107×cbrt-unprod
39×cbrt-undiv
21×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
19×times-frac
18×associate-*r/
13×unpow-prod-down cube-prod
11×pow1
5×associate-/l/
4×distribute-rgt-in frac-times distribute-lft-in flip3-+ flip-+ add-log-exp
3×pow-unpow pow-prod-down sqrt-prod div-inv
2×associate-*l/ rem-cube-cbrt
1×cube-div cube-mult rem-sqrt-square pow-pow frac-2neg sqrt-pow1 pow1/2 unpow3 associate-*r* associate-*l* clear-num associate-/r* *-commutative associate-/l* sqr-pow
Counts
4 → 326
Calls
4 calls:
101.0ms
(/ (* (* 1.0 (/ 1.0 (fabs x))) (* (pow 1.0 3) (+ (* 3.0 (* (* (fabs x) (fabs x)) 8.0)) (* 4.0 (* (* 1.0 1.0) 15.0))))) (* (* (pow (fabs x) 4) (* (pow (fabs x) 2) 4.0)) 8.0))
81.0ms
(* (* 1.0 (/ 1.0 (fabs x))) (* (pow 1.0 3) (+ (* 3.0 (* (* (fabs x) (fabs x)) 8.0)) (* 4.0 (* (* 1.0 1.0) 15.0)))))
4.0ms
(pow (/ 1.0 (fabs x)) 3)
1.0ms
(sqrt PI)

series327.0ms

Counts
4 → 10
Calls
4 calls:
178.0ms
(/ (* (* 1.0 (/ 1.0 (fabs x))) (* (pow 1.0 3) (+ (* 3.0 (* (* (fabs x) (fabs x)) 8.0)) (* 4.0 (* (* 1.0 1.0) 15.0))))) (* (* (pow (fabs x) 4) (* (pow (fabs x) 2) 4.0)) 8.0))
114.0ms
(* (* 1.0 (/ 1.0 (fabs x))) (* (pow 1.0 3) (+ (* 3.0 (* (* (fabs x) (fabs x)) 8.0)) (* 4.0 (* (* 1.0 1.0) 15.0)))))
34.0ms
(pow (/ 1.0 (fabs x)) 3)
0.0ms
(sqrt PI)

simplify98.0ms

Algorithm
egg-herbie
Counts
336 → 336
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
015147907
150026978

prune795.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.1b

regimes336.0ms

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05644
15644

end0.0ms

sample15.1s

Algorithm
intervals
Results
13.9s85255×body80valid