Details

Time bar (total: 10.9s)

sample337.0ms

Algorithm
intervals
Results
276.0ms3727×body80valid

simplify63.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
09061
138958
2211536
3500136

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize25.0ms

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)

rewrite32.0ms

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:
10.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
5.0ms
(pow (/ 1.0 (fabs x)) 3)
8.0ms
(pow (/ 1.0 (fabs x)) 3)
1.0ms
(sqrt PI)

series93.0ms

Counts
4 → 10
Calls
4 calls:
23.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
37.0ms
(pow (/ 1.0 (fabs x)) 3)
32.0ms
(pow (/ 1.0 (fabs x)) 3)
0.0ms
(sqrt PI)

simplify124.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 2 (111.0ms)

IterNodesCost
05841144
13655959
25003912

prune678.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.3b

localize27.0ms

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)

rewrite40.0ms

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)

series80.0ms

Counts
4 → 10
Calls
4 calls:
23.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
23.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
33.0ms
(pow (/ 1.0 (fabs x)) 3)
0.0ms
(sqrt PI)

simplify114.0ms

Algorithm
egg-herbie
Counts
203 → 203
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
05351298
133211112
25001972

prune901.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 0.2b

localize34.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* (* (/ (sqrt 1.0) 1) (/ (* 1.0 (sqrt 1.0)) (pow (fabs x) 2))) (/ 1.0 (pow (fabs x) 3))) (+ (/ 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)))
0.7b
(pow (/ 1.0 (fabs x)) 3)
1.0b
(sqrt PI)

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
525×add-exp-log
301×prod-exp
199×div-exp
154×frac-times
100×add-cbrt-cube
98×associate-*l/
64×associate-*r/
62×add-sqr-sqrt
58×times-frac
56×frac-add
49×add-cube-cbrt *-un-lft-identity cbrt-unprod
48×pow-exp
47×pow-to-exp
28×1-exp
26×cbrt-undiv
22×pow1
16×associate-*r*
14×associate-*l*
13×unpow-prod-down cube-prod swap-sqr
8×flip3-+ flip-+
7×pow-prod-down
6×div-inv
4×add-log-exp unswap-sqr
3×pow-unpow sqrt-prod
2×*-commutative rem-cube-cbrt
1×cube-div pow2 distribute-rgt-in cube-mult rem-sqrt-square pow-pow distribute-lft-in sqrt-pow1 pow-plus pow1/2 unpow3 pow-sqr pow-prod-up sqr-pow
Counts
4 → 326
Calls
4 calls:
37.0ms
(* (* (* (/ (sqrt 1.0) 1) (/ (* 1.0 (sqrt 1.0)) (pow (fabs x) 2))) (/ 1.0 (pow (fabs x) 3))) (+ (/ 3.0 4.0) (* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (/ 15.0 8.0))))
10.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
5.0ms
(pow (/ 1.0 (fabs x)) 3)
1.0ms
(sqrt PI)

series284.0ms

Counts
4 → 10
Calls
4 calls:
220.0ms
(* (* (* (/ (sqrt 1.0) 1) (/ (* 1.0 (sqrt 1.0)) (pow (fabs x) 2))) (/ 1.0 (pow (fabs x) 3))) (+ (/ 3.0 4.0) (* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (/ 15.0 8.0))))
31.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
33.0ms
(pow (/ 1.0 (fabs x)) 3)
0.0ms
(sqrt PI)

simplify102.0ms

Algorithm
egg-herbie
Counts
336 → 336
Iterations

Useful iterations: 1 (43.0ms)

IterNodesCost
024996223
150025892

prune1.1s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
76×times-frac
72×add-sqr-sqrt
51×add-cube-cbrt *-un-lft-identity
29×add-exp-log
27×unpow-prod-down
22×associate-/r*
21×sqrt-prod add-cbrt-cube
20×cube-prod
16×unswap-sqr
12×associate-*r*
11×prod-exp sqr-pow
8×associate-*l* pow-exp
7×cbrt-undiv pow-to-exp div-exp
6×pow1
5×associate-*l/ div-inv associate-/l/ unpow2
4×frac-add add-log-exp
3×pow-unpow cbrt-unprod
2×cube-mult flip3-+ unpow3 flip-+ rem-cube-cbrt
1×cube-div rem-sqrt-square pow-pow frac-2neg sqrt-pow1 pow1/2 clear-num associate-/r/ *-commutative pow-prod-up associate-/l*
Counts
4 → 183
Calls
4 calls:
8.0ms
(* (pow (fabs x) 2) (pow (fabs x) 3))
123.0ms
(/ (* (+ (+ (/ (* (pow 1.0 3) (+ (* 3.0 (fabs x)) (* 4.0 (* (* 1.0 (/ 1.0 (fabs x))) (/ 15.0 8.0))))) (* (* (pow (fabs x) 2) (pow (fabs x) 3)) (* 4.0 (fabs x)))) (/ 1.0 (/ 2.0 (pow (/ 1.0 (fabs x)) 3)))) (/ 1.0 (fabs x))) 1.0) (/ (sqrt PI) (exp (* (fabs x) (fabs x)))))
5.0ms
(pow (/ 1.0 (fabs x)) 3)
1.0ms
(sqrt PI)

series668.0ms

Counts
4 → 10
Calls
4 calls:
40.0ms
(* (pow (fabs x) 2) (pow (fabs x) 3))
589.0ms
(/ (* (+ (+ (/ (* (pow 1.0 3) (+ (* 3.0 (fabs x)) (* 4.0 (* (* 1.0 (/ 1.0 (fabs x))) (/ 15.0 8.0))))) (* (* (pow (fabs x) 2) (pow (fabs x) 3)) (* 4.0 (fabs x)))) (/ 1.0 (/ 2.0 (pow (/ 1.0 (fabs x)) 3)))) (/ 1.0 (fabs x))) 1.0) (/ (sqrt PI) (exp (* (fabs x) (fabs x)))))
39.0ms
(pow (/ 1.0 (fabs x)) 3)
0.0ms
(sqrt PI)

simplify59.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
09774021
150013499

prune817.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

regimes217.0ms

bsearch0.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04526
14526

end0.0ms

sample4.8s

Algorithm
intervals
Results
4.1s55573×body80valid