Details

Time bar (total: 7.4s)

sample344.0ms

Algorithm
intervals
Results
274.0ms3517×body80valid

simplify62.0ms

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

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (/ 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)

rewrite44.0ms

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:
22.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
7.0ms
(pow (/ 1.0 (fabs x)) 3)
6.0ms
(pow (/ 1.0 (fabs x)) 3)
1.0ms
(sqrt PI)

series87.0ms

Counts
4 → 10
Calls
4 calls:
22.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
30.0ms
(pow (/ 1.0 (fabs x)) 3)
34.0ms
(pow (/ 1.0 (fabs x)) 3)
0.0ms
(sqrt PI)

simplify121.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 2 (108.0ms)

IterNodesCost
05841144
13655959
25003912

prune687.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 0.3b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.6b
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.7b
(pow (/ 1.0 (fabs x)) 3)
1.0b
(sqrt PI)

rewrite64.0ms

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:
25.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
22.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
7.0ms
(pow (/ 1.0 (fabs x)) 3)
1.0ms
(sqrt PI)

series75.0ms

Counts
4 → 10
Calls
4 calls:
22.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
22.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
31.0ms
(pow (/ 1.0 (fabs x)) 3)
0.0ms
(sqrt PI)

simplify109.0ms

Algorithm
egg-herbie
Counts
203 → 203
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
05351298
133211112
25001972

prune849.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.2b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (/ 1.0 (pow (fabs x) 3)))
0.6b
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.7b
(pow (/ 1.0 (fabs x)) 3)
1.0b
(sqrt PI)

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
101×add-exp-log
98×times-frac
91×add-sqr-sqrt
70×add-cube-cbrt *-un-lft-identity
60×add-cbrt-cube
53×associate-*r*
40×prod-exp
36×div-exp
23×unpow-prod-down cube-prod
22×cbrt-unprod
18×pow1 cbrt-undiv
14×associate-*l*
13×swap-sqr
9×unswap-sqr
7×pow-exp div-inv
6×frac-times pow-to-exp associate-*l/
5×sqr-pow
4×cube-mult unpow3 associate-*r/ pow-prod-down add-log-exp
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 → 219
Calls
4 calls:
59.0ms
(* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (/ 1.0 (pow (fabs x) 3)))
22.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
9.0ms
(pow (/ 1.0 (fabs x)) 3)
1.0ms
(sqrt PI)

series105.0ms

Counts
4 → 10
Calls
4 calls:
48.0ms
(* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (/ 1.0 (pow (fabs x) 3)))
26.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
31.0ms
(pow (/ 1.0 (fabs x)) 3)
0.0ms
(sqrt PI)

simplify44.0ms

Algorithm
egg-herbie
Counts
229 → 229
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
010191806
150021535

prune975.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ (pow 1.0 3) (* (fabs x) (pow (fabs x) 4))) (+ (/ 3.0 4.0) (* (/ (* 1.0 1.0) (pow (fabs x) 2)) (/ 15.0 8.0))))
0.3b
(/ (* (+ (+ (* (/ (pow 1.0 3) (* (fabs x) (pow (fabs x) 4))) (+ (/ 3.0 4.0) (* (/ (* 1.0 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)))))
0.7b
(pow (/ 1.0 (fabs x)) 3)
1.0b
(sqrt PI)

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
88×times-frac
57×add-exp-log
54×add-sqr-sqrt
51×add-cube-cbrt *-un-lft-identity
36×frac-add
28×add-cbrt-cube
24×prod-exp
22×associate-/r*
21×associate-*l/ sqrt-prod
19×div-exp
16×unpow-prod-down cube-prod associate-*l*
15×associate-/l/
14×frac-times associate-*r/
9×cbrt-undiv pow-exp
8×pow1 pow-to-exp
6×flip3-+ cbrt-unprod flip-+ div-inv
4×add-log-exp
3×pow-unpow associate-*r*
2×cube-mult unpow3 rem-cube-cbrt sqr-pow
1×cube-div distribute-rgt-in rem-sqrt-square pow-pow frac-2neg distribute-lft-in sqrt-pow1 pow1/2 pow-prod-down clear-num associate-/r/ *-commutative associate-/l* unswap-sqr
Counts
4 → 196
Calls
4 calls:
75.0ms
(* (/ (pow 1.0 3) (* (fabs x) (pow (fabs x) 4))) (+ (/ 3.0 4.0) (* (/ (* 1.0 1.0) (pow (fabs x) 2)) (/ 15.0 8.0))))
1.1s
(/ (* (+ (+ (* (/ (pow 1.0 3) (* (fabs x) (pow (fabs x) 4))) (+ (/ 3.0 4.0) (* (/ (* 1.0 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)))))
7.0ms
(pow (/ 1.0 (fabs x)) 3)
1.0ms
(sqrt PI)

series582.0ms

Counts
4 → 10
Calls
4 calls:
136.0ms
(* (/ (pow 1.0 3) (* (fabs x) (pow (fabs x) 4))) (+ (/ 3.0 4.0) (* (/ (* 1.0 1.0) (pow (fabs x) 2)) (/ 15.0 8.0))))
411.0ms
(/ (* (+ (+ (* (/ (pow 1.0 3) (* (fabs x) (pow (fabs x) 4))) (+ (/ 3.0 4.0) (* (/ (* 1.0 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)))))
35.0ms
(pow (/ 1.0 (fabs x)) 3)
0.0ms
(sqrt PI)

simplify75.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
015084561
150014070

prune978.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

regimes232.0ms

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04526
14526

end0.0ms

sample540.0ms

Algorithm
intervals
Results
440.0ms5665×body80valid