Details

Time bar (total: 8.6s)

sample397.0ms

Algorithm
intervals
Results
338.0ms3399×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: 1.3b

Counts
2 → 2

localize35.0ms

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:
9.0ms
(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)

series115.0ms

Counts
4 → 10
Calls
4 calls:
31.0ms
(pow (/ 1.0 (fabs x)) 3)
38.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)
46.0ms
(pow (/ 1.0 (fabs x)) 6)

simplify79.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
0545752
12496663
25001647

prune599.0ms

Filtered
133 candidates to 82 candidates (61.7%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New12310133
Fresh011
Picked101
Done000
Total12411135

Merged error: 0.6b

Counts
135 → 11

localize41.0ms

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)

rewrite101.0ms

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:
85.0ms
(* (+ (/ 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))))
5.0ms
(pow (/ 1.0 (fabs x)) 3)
5.0ms
(pow (/ 1.0 (fabs x)) 4)
2.0ms
(sqrt PI)

series596.0ms

Counts
4 → 10
Calls
4 calls:
527.0ms
(* (+ (/ 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))))
36.0ms
(pow (/ 1.0 (fabs x)) 3)
33.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)

simplify47.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
09942448
150012114

prune755.0ms

Filtered
143 candidates to 92 candidates (64.3%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New13013143
Fresh5510
Picked101
Done000
Total13618154

Merged error: 0.0b

Counts
154 → 18

localize40.0ms

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)

rewrite21.0ms

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

series102.0ms

Counts
4 → 10
Calls
4 calls:
32.0ms
(pow (/ 1.0 (fabs x)) 3)
32.0ms
(pow (/ 1.0 (fabs x)) 3)
38.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)

simplify71.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0460862
11986744
25001722

prune738.0ms

Filtered
151 candidates to 85 candidates (56.3%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New1474151
Fresh61117
Picked101
Done000
Total15415169

Merged error: 0.0b

Counts
169 → 15

localize39.0ms

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:
9.0ms
(pow (/ 1.0 (fabs x)) 3)
5.0ms
(pow (/ 1.0 (fabs x)) 3)
5.0ms
(pow (/ 1.0 (fabs x)) 4)
2.0ms
(sqrt PI)

series102.0ms

Counts
4 → 10
Calls
4 calls:
37.0ms
(pow (/ 1.0 (fabs x)) 3)
32.0ms
(pow (/ 1.0 (fabs x)) 3)
33.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)

simplify65.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0445861
11872738
25001717

prune635.0ms

Filtered
151 candidates to 85 candidates (56.3%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New1492151
Fresh31114
Picked011
Done000
Total15214166

Merged error: 0b

Counts
166 → 14

regimes370.0ms

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04440
14440

end0.0ms

sample3.5s

Algorithm
intervals
Results
3.1s31888×body80valid