Details

Time bar (total: 8.9s)

sample298.0ms

Algorithm
intervals
Results
232.0ms3124×body80valid

simplify65.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
09061
140658
2226736
3500135
done500135

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.4b

localize37.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (/ 1.0 (fabs x)) 3)
0.9b
(pow (/ 1.0 (fabs x)) 4)
1.0b
(sqrt PI)
1.2b
(pow (/ 1.0 (fabs x)) 6)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
39×unpow-prod-down
37×add-sqr-sqrt
36×add-cube-cbrt *-un-lft-identity times-frac
13×add-exp-log cube-prod
9×pow-unpow
8×pow1
7×add-cbrt-cube
6×pow-exp
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×pow-to-exp pow-pow div-exp sqrt-prod sqr-pow
2×rem-cube-cbrt
1×cbrt-undiv cube-div cube-mult rem-sqrt-square sqrt-pow1 pow1/2 unpow3
Counts
4 → 123
Calls
4 calls:
6.0ms
(pow (/ 1.0 (fabs x)) 3)
6.0ms
(pow (/ 1.0 (fabs x)) 4)
1.0ms
(sqrt PI)
6.0ms
(pow (/ 1.0 (fabs x)) 6)

series124.0ms

Counts
4 → 10
Calls
4 calls:
38.0ms
(pow (/ 1.0 (fabs x)) 3)
34.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)
52.0ms
(pow (/ 1.0 (fabs x)) 6)

simplify74.0ms

Counts
133 → 133
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
0545752
12496663
25001647
done5001647

prune663.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.5b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (+ (/ 1.0 (/ 2.0 (pow (/ 1.0 (fabs x)) 3))) (* (/ 1.0 (fabs x)) (+ (/ (* (/ 1.0 (pow (fabs x) 6)) 15.0) 8.0) (fma (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4) 1)))) (* (/ 1.0 (sqrt PI)) (pow (exp (fabs x)) (/ (fabs x) 2))))
0.7b
(pow (/ 1.0 (fabs x)) 3)
0.9b
(pow (/ 1.0 (fabs x)) 4)
1.0b
(sqrt PI)

rewrite688.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
29×add-exp-log add-cube-cbrt *-un-lft-identity
27×times-frac
26×unpow-prod-down
17×associate-*l/
16×add-cbrt-cube
13×cube-prod prod-exp
11×frac-times
10×frac-add
9×pow1
6×pow-unpow flip3-+ pow-exp flip-+
5×associate-*r/ div-exp cbrt-unprod
4×expm1-log1p-u pow-to-exp log1p-expm1-u add-log-exp
3×associate-*l* sqrt-prod div-inv
2×cbrt-undiv pow-pow rem-cube-cbrt sqr-pow
1×cube-div cube-mult rem-sqrt-square sqrt-pow1 pow1/2 unpow3 associate-*r* pow-prod-down *-commutative
Counts
4 → 133
Calls
4 calls:
669.0ms
(* (+ (/ 1.0 (/ 2.0 (pow (/ 1.0 (fabs x)) 3))) (* (/ 1.0 (fabs x)) (+ (/ (* (/ 1.0 (pow (fabs x) 6)) 15.0) 8.0) (fma (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4) 1)))) (* (/ 1.0 (sqrt PI)) (pow (exp (fabs x)) (/ (fabs x) 2))))
7.0ms
(pow (/ 1.0 (fabs x)) 3)
6.0ms
(pow (/ 1.0 (fabs x)) 4)
2.0ms
(sqrt PI)

series618.0ms

Counts
4 → 10
Calls
4 calls:
550.0ms
(* (+ (/ 1.0 (/ 2.0 (pow (/ 1.0 (fabs x)) 3))) (* (/ 1.0 (fabs x)) (+ (/ (* (/ 1.0 (pow (fabs x) 6)) 15.0) 8.0) (fma (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4) 1)))) (* (/ 1.0 (sqrt PI)) (pow (exp (fabs x)) (/ (fabs x) 2))))
33.0ms
(pow (/ 1.0 (fabs x)) 3)
35.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)

simplify45.0ms

Counts
143 → 143
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
09942448
150012114
done50012114

prune788.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (/ 1.0 (fabs x)) 3)
0.7b
(pow (/ 1.0 (fabs x)) 3)
0.9b
(pow (/ 1.0 (fabs x)) 4)
1.0b
(sqrt PI)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
44×add-sqr-sqrt
43×add-cube-cbrt *-un-lft-identity
39×unpow-prod-down
26×cube-prod
13×add-exp-log
10×add-cbrt-cube
9×pow-unpow
8×pow1
6×pow-exp
5×div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp rem-cube-cbrt
3×pow-to-exp pow-pow div-exp sqrt-prod sqr-pow
2×cbrt-undiv cube-div cube-mult unpow3
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 141
Calls
4 calls:
7.0ms
(pow (/ 1.0 (fabs x)) 3)
7.0ms
(pow (/ 1.0 (fabs x)) 3)
6.0ms
(pow (/ 1.0 (fabs x)) 4)
2.0ms
(sqrt PI)

series109.0ms

Counts
4 → 10
Calls
4 calls:
33.0ms
(pow (/ 1.0 (fabs x)) 3)
40.0ms
(pow (/ 1.0 (fabs x)) 3)
36.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)

simplify64.0ms

Counts
151 → 151
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0460862
11986744
25001722
done5001722

prune779.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (/ 1.0 (fabs x)) 3)
0.7b
(pow (/ 1.0 (fabs x)) 3)
0.9b
(pow (/ 1.0 (fabs x)) 4)
1.0b
(sqrt PI)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
44×add-sqr-sqrt
43×add-cube-cbrt *-un-lft-identity
39×unpow-prod-down
26×cube-prod
13×add-exp-log
10×add-cbrt-cube
9×pow-unpow
8×pow1
6×pow-exp
5×div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp rem-cube-cbrt
3×pow-to-exp pow-pow div-exp sqrt-prod sqr-pow
2×cbrt-undiv cube-div cube-mult unpow3
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 141
Calls
4 calls:
7.0ms
(pow (/ 1.0 (fabs x)) 3)
6.0ms
(pow (/ 1.0 (fabs x)) 3)
6.0ms
(pow (/ 1.0 (fabs x)) 4)
1.0ms
(sqrt PI)

series105.0ms

Counts
4 → 10
Calls
4 calls:
33.0ms
(pow (/ 1.0 (fabs x)) 3)
37.0ms
(pow (/ 1.0 (fabs x)) 3)
35.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)

simplify59.0ms

Counts
151 → 151
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0445861
11872738
25001717
done5001717

prune700.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

regimes355.0ms

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05246
15246
done5246

end0.0ms

sample3.1s

Algorithm
intervals
Results
2.5s33658×body80valid