Details

Time bar (total: 5.3s)

sample380.0ms

Algorithm
intervals
Results
316.0ms3749×body80valid

simplify67.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (65.0ms)

IterNodesCost
09061
140658
2226736
3500135

prune17.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.2b

Counts
2 → 2

localize41.0ms

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)

rewrite19.0ms

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:
5.0ms
(pow (/ 1.0 (fabs x)) 3)
5.0ms
(pow (/ 1.0 (fabs x)) 4)
1.0ms
(sqrt PI)
5.0ms
(pow (/ 1.0 (fabs x)) 6)

series119.0ms

Counts
4 → 10
Calls
4 calls:
32.0ms
(pow (/ 1.0 (fabs x)) 3)
33.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)
54.0ms
(pow (/ 1.0 (fabs x)) 6)

simplify82.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
0545752
12496663
25001647

prune801.0ms

Filtered
133 candidates to 82 candidates (61.7%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New12211133
Fresh011
Picked101
Done000
Total12312135

Merged error: 0.3b

Counts
135 → 12

localize37.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (/ 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)

rewrite32.0ms

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:
15.0ms
(* (/ 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)))
5.0ms
(pow (/ 1.0 (fabs x)) 3)
4.0ms
(pow (/ 1.0 (fabs x)) 4)
2.0ms
(sqrt PI)

series231.0ms

Counts
4 → 10
Calls
4 calls:
166.0ms
(* (/ 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)))
32.0ms
(pow (/ 1.0 (fabs x)) 3)
33.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)

simplify111.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
07221344
136371199
250021192

prune714.0ms

Filtered
144 candidates to 93 candidates (64.6%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New13311144
Fresh7411
Picked011
Done000
Total14016156

Merged error: 0.1b

Counts
156 → 16

localize41.0ms

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)

rewrite15.0ms

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:
1.0ms
(fma (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4) 1)
5.0ms
(pow (/ 1.0 (fabs x)) 3)
5.0ms
(pow (/ 1.0 (fabs x)) 4)
2.0ms
(sqrt PI)

series126.0ms

Counts
4 → 10
Calls
4 calls:
56.0ms
(fma (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4) 1)
36.0ms
(pow (/ 1.0 (fabs x)) 3)
33.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)

simplify60.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0440626
11805548
25003536

prune549.0ms

Filtered
113 candidates to 70 candidates (61.9%)
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New1130113
Fresh01414
Picked011
Done011
Total11316129

Merged error: 0.1b

Counts
129 → 16

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

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:
5.0ms
(pow (/ 1.0 (fabs x)) 3)
5.0ms
(pow (/ 1.0 (fabs x)) 4)
5.0ms
(pow (/ 1.0 (fabs x)) 4)
2.0ms
(sqrt PI)

series100.0ms

Counts
4 → 10
Calls
4 calls:
35.0ms
(pow (/ 1.0 (fabs x)) 3)
32.0ms
(pow (/ 1.0 (fabs x)) 4)
33.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)

simplify53.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0415755
11689684
25001657

prune637.0ms

Filtered
133 candidates to 81 candidates (60.9%)
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New1321133
Fresh11213
Picked011
Done112
Total13415149

Merged error: 0.1b

Counts
149 → 15

regimes384.0ms

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04635
14635

end0.0ms

sample638.0ms

Algorithm
intervals
Results
547.0ms6575×body80valid