Details

Time bar (total: 13.1s)

sample307.0ms

Algorithm
intervals
Results
251.0ms3326×body80valid

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
09061
138958
2211536
3500136

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.3b

localize27.0ms

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:
10.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
5.0ms
(pow (/ 1.0 (fabs x)) 3)
7.0ms
(pow (/ 1.0 (fabs x)) 3)
1.0ms
(sqrt PI)

series94.0ms

Counts
4 → 10
Calls
4 calls:
23.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
37.0ms
(pow (/ 1.0 (fabs x)) 3)
33.0ms
(pow (/ 1.0 (fabs x)) 3)
0.0ms
(sqrt PI)

simplify122.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 2 (110.0ms)

IterNodesCost
05841144
13655959
25003912

prune689.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 0.4b

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)

rewrite39.0ms

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:
13.0ms
(* (/ 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)
2.0ms
(sqrt PI)

series86.0ms

Counts
4 → 10
Calls
4 calls:
28.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
24.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
34.0ms
(pow (/ 1.0 (fabs x)) 3)
0.0ms
(sqrt PI)

simplify105.0ms

Algorithm
egg-herbie
Counts
203 → 203
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
05351298
133211112
25001972

prune850.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.2b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ (* 1.0 1.0) (pow (fabs x) 2)) (/ 1.0 (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)

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
142×times-frac
141×add-sqr-sqrt
117×add-exp-log
73×add-cube-cbrt *-un-lft-identity
53×associate-*r*
50×div-exp
44×prod-exp
40×add-cbrt-cube
35×unpow-prod-down
29×unswap-sqr
27×cube-prod
25×associate-*l*
17×pow-exp
16×pow-to-exp
15×pow1 sqr-pow
13×swap-sqr
12×cbrt-undiv cbrt-unprod
8×div-inv
6×unpow2
4×cube-mult unpow3 add-log-exp
3×pow-unpow sqrt-prod
2×frac-times associate-*r/ pow-prod-down associate-*l/ *-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 → 249
Calls
4 calls:
22.0ms
(* (/ (* 1.0 1.0) (pow (fabs x) 2)) (/ 1.0 (pow (fabs x) 3)))
10.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
5.0ms
(pow (/ 1.0 (fabs x)) 3)
1.0ms
(sqrt PI)

series116.0ms

Counts
4 → 10
Calls
4 calls:
54.0ms
(* (/ (* 1.0 1.0) (pow (fabs x) 2)) (/ 1.0 (pow (fabs x) 3)))
23.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
38.0ms
(pow (/ 1.0 (fabs x)) 3)
0.0ms
(sqrt PI)

simplify48.0ms

Algorithm
egg-herbie
Counts
259 → 259
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
011792221
150011876

prune1.1s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.2b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 2.0 (pow (/ 1.0 (fabs x)) 3))
0.3b
(* (/ (* 1.0 1.0) (pow (fabs x) 2)) (/ 1.0 (pow (fabs x) 3)))
0.7b
(pow (/ 1.0 (fabs x)) 3)
1.0b
(sqrt PI)

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
270×times-frac
194×add-sqr-sqrt
138×add-cube-cbrt *-un-lft-identity
113×add-exp-log
87×unpow-prod-down
79×cube-prod
51×div-exp
40×associate-*r* prod-exp
32×associate-/r*
30×add-cbrt-cube
25×unswap-sqr
19×pow-exp sqr-pow
17×pow-to-exp
13×div-inv
12×associate-*l*
9×cbrt-undiv
8×pow1 cube-mult unpow3 cbrt-unprod
6×unpow2
4×add-log-exp
3×pow-unpow sqrt-prod associate-/l*
2×cube-div rem-cube-cbrt
1×frac-times rem-sqrt-square pow-pow frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r/ *-commutative
Counts
4 → 329
Calls
4 calls:
10.0ms
(/ 2.0 (pow (/ 1.0 (fabs x)) 3))
24.0ms
(* (/ (* 1.0 1.0) (pow (fabs x) 2)) (/ 1.0 (pow (fabs x) 3)))
5.0ms
(pow (/ 1.0 (fabs x)) 3)
1.0ms
(sqrt PI)

series191.0ms

Counts
4 → 10
Calls
4 calls:
100.0ms
(/ 2.0 (pow (/ 1.0 (fabs x)) 3))
52.0ms
(* (/ (* 1.0 1.0) (pow (fabs x) 2)) (/ 1.0 (pow (fabs x) 3)))
38.0ms
(pow (/ 1.0 (fabs x)) 3)
0.0ms
(sqrt PI)

simplify59.0ms

Algorithm
egg-herbie
Counts
339 → 339
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
011453176
150012745

prune1.2s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.1b

regimes419.0ms

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04639
14639

end0.0ms

sample7.4s

Algorithm
intervals
Results
6.4s86600×body80valid