Details

Time bar (total: 8.5s)

sample330.0ms

Algorithm
intervals
Results
268.0ms3460×body80valid

simplify69.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
09061
138958
2211536
3500136

prune14.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.1b

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)

rewrite34.0ms

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:
14.0ms
(* (/ 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)

series93.0ms

Counts
4 → 10
Calls
4 calls:
27.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
32.0ms
(pow (/ 1.0 (fabs x)) 3)
33.0ms
(pow (/ 1.0 (fabs x)) 3)
0.0ms
(sqrt PI)

simplify123.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 2 (110.0ms)

IterNodesCost
05841144
13655959
25003912

prune719.0ms

Filtered
182 candidates to 100 candidates (54.9%)
Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 0.3b

localize31.0ms

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)

rewrite44.0ms

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:
14.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
17.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
4.0ms
(pow (/ 1.0 (fabs x)) 3)
1.0ms
(sqrt PI)

series85.0ms

Counts
4 → 10
Calls
4 calls:
24.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
27.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
33.0ms
(pow (/ 1.0 (fabs x)) 3)
0.0ms
(sqrt PI)

simplify133.0ms

Algorithm
egg-herbie
Counts
203 → 203
Iterations

Useful iterations: 2 (119.0ms)

IterNodesCost
05911333
137711145
250011075

prune961.0ms

Filtered
203 candidates to 122 candidates (60.1%)
Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 0.2b

localize32.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* (/ (* 1.0 1.0) (pow (fabs x) 2)) (* (* 1.0 1.0) (/ 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)

rewrite218.0ms

Algorithm
rewrite-expression-head
Rules
385×add-exp-log
242×prod-exp
105×add-cbrt-cube
101×div-exp
62×add-sqr-sqrt
58×frac-times times-frac cbrt-unprod
52×associate-*r/
49×add-cube-cbrt *-un-lft-identity
34×associate-*l/ pow-exp
33×pow-to-exp
28×frac-add
27×pow1
21×cbrt-undiv
16×associate-*r*
14×associate-*l*
13×unpow-prod-down cube-prod swap-sqr
11×pow-prod-down
6×div-inv
4×flip3-+ flip-+ 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 → 263
Calls
4 calls:
178.0ms
(* (* (/ (* 1.0 1.0) (pow (fabs x) 2)) (* (* 1.0 1.0) (/ 1.0 (pow (fabs x) 3)))) (+ (/ 3.0 4.0) (* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (/ 15.0 8.0))))
14.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
6.0ms
(pow (/ 1.0 (fabs x)) 3)
1.0ms
(sqrt PI)

series184.0ms

Counts
4 → 10
Calls
4 calls:
123.0ms
(* (* (/ (* 1.0 1.0) (pow (fabs x) 2)) (* (* 1.0 1.0) (/ 1.0 (pow (fabs x) 3)))) (+ (/ 3.0 4.0) (* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (/ 15.0 8.0))))
23.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
38.0ms
(pow (/ 1.0 (fabs x)) 3)
0.0ms
(sqrt PI)

simplify77.0ms

Algorithm
egg-herbie
Counts
273 → 273
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
018574434
150013536

prune981.0ms

Filtered
273 candidates to 127 candidates (46.5%)
Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (* (+ (+ (* 1.0 (/ (+ (* 1.875 (/ 1 (pow (fabs x) 2))) 0.75) (pow (fabs x) 5))) (/ 1.0 (/ 2.0 (pow (/ 1.0 (fabs x)) 3)))) (/ 1.0 (fabs x))) 1.0) (/ (sqrt PI) (exp (* (fabs x) (fabs x)))))
0.4b
(/ (+ (* 1.875 (/ 1 (pow (fabs x) 2))) 0.75) (pow (fabs x) 5))
0.7b
(pow (/ 1.0 (fabs x)) 3)
1.0b
(sqrt PI)

rewrite921.0ms

Algorithm
rewrite-expression-head
Rules
97×times-frac
63×add-sqr-sqrt
62×add-cube-cbrt *-un-lft-identity
29×associate-/r*
25×unpow-prod-down
22×add-exp-log
21×sqrt-prod add-cbrt-cube
13×cube-prod
10×div-exp
8×cbrt-undiv
7×associate-/l/
6×pow1 div-inv
5×associate-*l/ sqr-pow
4×frac-add associate-/l* add-log-exp
3×pow-unpow flip3-+ pow-exp flip-+
2×pow-to-exp frac-2neg prod-exp clear-num cbrt-unprod rem-cube-cbrt
1×cube-div cube-mult rem-sqrt-square pow-pow sqrt-pow1 pow1/2 unpow3 associate-*r/ associate-/r/
Counts
4 → 175
Calls
4 calls:
888.0ms
(/ (* (+ (+ (* 1.0 (/ (+ (* 1.875 (/ 1 (pow (fabs x) 2))) 0.75) (pow (fabs x) 5))) (/ 1.0 (/ 2.0 (pow (/ 1.0 (fabs x)) 3)))) (/ 1.0 (fabs x))) 1.0) (/ (sqrt PI) (exp (* (fabs x) (fabs x)))))
21.0ms
(/ (+ (* 1.875 (/ 1 (pow (fabs x) 2))) 0.75) (pow (fabs x) 5))
4.0ms
(pow (/ 1.0 (fabs x)) 3)
1.0ms
(sqrt PI)

series559.0ms

Counts
4 → 10
Calls
4 calls:
427.0ms
(/ (* (+ (+ (* 1.0 (/ (+ (* 1.875 (/ 1 (pow (fabs x) 2))) 0.75) (pow (fabs x) 5))) (/ 1.0 (/ 2.0 (pow (/ 1.0 (fabs x)) 3)))) (/ 1.0 (fabs x))) 1.0) (/ (sqrt PI) (exp (* (fabs x) (fabs x)))))
100.0ms
(/ (+ (* 1.875 (/ 1 (pow (fabs x) 2))) 0.75) (pow (fabs x) 5))
32.0ms
(pow (/ 1.0 (fabs x)) 3)
0.0ms
(sqrt PI)

simplify58.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
09803433
150013059

prune719.0ms

Filtered
185 candidates to 117 candidates (63.2%)
Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.1b

regimes222.0ms

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04526
14526

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.6s21445×body80valid