Details

Time bar (total: 7.1s)

sample386.0ms

Algorithm
intervals
Results
313.0ms3494×body80valid

simplify66.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (65.0ms)

IterNodesCost
09061
140658
2226736
3500135
done500135

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.1b

localize40.0ms

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)

rewrite25.0ms

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:
7.0ms
(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)

series119.0ms

Counts
4 → 10
Calls
4 calls:
32.0ms
(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)

simplify75.0ms

Counts
133 → 133
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0545752
12496663
25001647
done5001647

prune612.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.3b

localize40.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ 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)))
0.7b
(pow (/ 1.0 (fabs x)) 3)
0.9b
(pow (/ 1.0 (fabs x)) 4)
1.0b
(sqrt PI)

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
38×*-un-lft-identity
37×times-frac
36×add-cube-cbrt
26×unpow-prod-down
15×add-exp-log
13×cube-prod associate-*l*
12×add-cbrt-cube
9×pow1
6×pow-unpow
4×expm1-log1p-u associate-*r* pow-exp log1p-expm1-u div-inv add-log-exp
3×div-exp sqrt-prod
2×cbrt-undiv frac-times pow-to-exp pow-pow flip3-+ associate-*r/ prod-exp cbrt-unprod flip-+ rem-cube-cbrt unswap-sqr sqr-pow
1×cube-div distribute-rgt-in cube-mult rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 unpow3 pow-prod-down associate-*l/ *-commutative distribute-lft-out
Counts
4 → 134
Calls
4 calls:
72.0ms
(* (/ 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)))
7.0ms
(pow (/ 1.0 (fabs x)) 3)
6.0ms
(pow (/ 1.0 (fabs x)) 4)
1.0ms
(sqrt PI)

series256.0ms

Counts
4 → 10
Calls
4 calls:
180.0ms
(* (/ 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)))
35.0ms
(pow (/ 1.0 (fabs x)) 3)
40.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)

simplify111.0ms

Counts
144 → 144
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
07221344
136371199
250021192
done50021192

prune773.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b
(fma (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4) 1)
0.7b
(pow (/ 1.0 (fabs x)) 3)
0.9b
(pow (/ 1.0 (fabs x)) 4)
1.0b
(sqrt PI)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
28×add-cube-cbrt *-un-lft-identity
27×times-frac
26×unpow-prod-down
13×cube-prod
10×add-exp-log
7×pow1 add-cbrt-cube
6×pow-unpow
4×expm1-log1p-u pow-exp log1p-expm1-u add-log-exp
3×sqrt-prod div-inv
2×pow-to-exp pow-pow div-exp rem-cube-cbrt sqr-pow
1×cbrt-undiv cube-div cube-mult rem-sqrt-square sqrt-pow1 pow1/2 unpow3 fma-udef
Counts
4 → 103
Calls
4 calls:
0.0ms
(fma (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4) 1)
10.0ms
(pow (/ 1.0 (fabs x)) 3)
6.0ms
(pow (/ 1.0 (fabs x)) 4)
1.0ms
(sqrt PI)

series133.0ms

Counts
4 → 10
Calls
4 calls:
64.0ms
(fma (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4) 1)
34.0ms
(pow (/ 1.0 (fabs x)) 3)
35.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)

simplify57.0ms

Counts
113 → 113
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0440626
11805548
25003536
done5003536

prune590.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 4 expressions with local error:

0.3b
(fma (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4) 1)
0.3b
(* (/ 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)))
0.9b
(pow (/ 1.0 (fabs x)) 4)
1.0b
(sqrt PI)

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
23×*-un-lft-identity
21×add-cube-cbrt
19×times-frac
13×unpow-prod-down associate-*l*
12×add-exp-log
9×add-cbrt-cube
8×pow1
4×expm1-log1p-u associate-*r* log1p-expm1-u add-log-exp
3×pow-unpow sqrt-prod
2×frac-times flip3-+ associate-*r/ div-exp pow-exp prod-exp cbrt-unprod flip-+ div-inv unswap-sqr
1×cbrt-undiv distribute-rgt-in pow-to-exp rem-sqrt-square pow-pow distribute-lft-in sqrt-pow1 pow1/2 pow-prod-down associate-*l/ *-commutative fma-udef distribute-lft-out sqr-pow
Counts
4 → 96
Calls
4 calls:
0.0ms
(fma (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4) 1)
74.0ms
(* (/ 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)))
6.0ms
(pow (/ 1.0 (fabs x)) 4)
1.0ms
(sqrt PI)

series268.0ms

Counts
4 → 10
Calls
4 calls:
61.0ms
(fma (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4) 1)
169.0ms
(* (/ 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)))
37.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)

simplify68.0ms

Counts
106 → 106
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05471131
124161033
250011025
done50011025

prune586.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.1b

regimes227.0ms

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04635
14635
done4635

end0.0ms

sample2.3s

Algorithm
intervals
Results
2.0s23012×body80valid