Details

Time bar (total: 12.0s)

sample360.0ms

Algorithm
intervals
Results
283.0ms3625×body80valid

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (62.0ms)

IterNodesCost
09061
140658
2226736
3500135

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize36.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (/ 1.0 (fabs x)) 3)
1.0b
(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:
6.0ms
(pow (/ 1.0 (fabs x)) 3)
8.0ms
(pow (/ 1.0 (fabs x)) 4)
1.0ms
(sqrt PI)
6.0ms
(pow (/ 1.0 (fabs x)) 6)

series116.0ms

Counts
4 → 10
Calls
4 calls:
32.0ms
(pow (/ 1.0 (fabs x)) 3)
36.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)
47.0ms
(pow (/ 1.0 (fabs x)) 6)

simplify74.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
0545752
12496663
25001647

prune644.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.3b

localize36.0ms

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)
1.0b
(pow (/ 1.0 (fabs x)) 4)
1.0b
(sqrt PI)

rewrite87.0ms

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:
67.0ms
(* (/ 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)) 3)
6.0ms
(pow (/ 1.0 (fabs x)) 4)
3.0ms
(sqrt PI)

series235.0ms

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)))
35.0ms
(pow (/ 1.0 (fabs x)) 3)
33.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)

simplify113.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
07221344
136371199
250021192

prune755.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1.0 (pow (fabs x) 6))
0.7b
(pow (/ 1.0 (fabs x)) 3)
1.0b
(pow (/ 1.0 (fabs x)) 4)
1.0b
(sqrt PI)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
48×times-frac
45×add-sqr-sqrt
44×add-cube-cbrt *-un-lft-identity
38×unpow-prod-down
15×add-exp-log
13×cube-prod
9×add-cbrt-cube
7×pow1 associate-/r*
6×pow-unpow sqr-pow
5×div-exp pow-exp
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×pow-to-exp sqrt-prod associate-/l*
2×cbrt-undiv pow-pow rem-cube-cbrt
1×cube-div cube-mult rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 unpow3 clear-num
Counts
4 → 140
Calls
4 calls:
7.0ms
(/ 1.0 (pow (fabs x) 6))
8.0ms
(pow (/ 1.0 (fabs x)) 3)
6.0ms
(pow (/ 1.0 (fabs x)) 4)
1.0ms
(sqrt PI)

series120.0ms

Counts
4 → 10
Calls
4 calls:
54.0ms
(/ 1.0 (pow (fabs x) 6))
32.0ms
(pow (/ 1.0 (fabs x)) 3)
34.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)

simplify65.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0534855
12213769
25002747

prune774.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1.0 (/ 2.0 (/ 1.0 (pow (fabs x) 3))))
0.3b
(/ 1.0 (pow (fabs x) 6))
1.0b
(pow (/ 1.0 (fabs x)) 4)
1.0b
(sqrt PI)

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
1317×times-frac
584×add-sqr-sqrt
583×add-cube-cbrt *-un-lft-identity
133×unpow-prod-down
132×associate-/r*
108×cube-prod
41×sqr-pow
36×cube-mult unpow3
28×add-exp-log
19×div-inv
16×div-exp
15×add-cbrt-cube
7×cbrt-undiv
6×pow1 associate-/l*
5×associate-/r/
4×expm1-log1p-u pow-exp log1p-expm1-u add-log-exp
3×pow-to-exp pow-unpow sqrt-prod
2×frac-2neg clear-num
1×rem-sqrt-square pow-pow sqrt-pow1 pow1/2
Counts
4 → 616
Calls
4 calls:
38.0ms
(/ 1.0 (/ 2.0 (/ 1.0 (pow (fabs x) 3))))
7.0ms
(/ 1.0 (pow (fabs x) 6))
6.0ms
(pow (/ 1.0 (fabs x)) 4)
1.0ms
(sqrt PI)

series128.0ms

Counts
4 → 10
Calls
4 calls:
38.0ms
(/ 1.0 (/ 2.0 (/ 1.0 (pow (fabs x) 3))))
57.0ms
(/ 1.0 (pow (fabs x) 6))
34.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)

simplify109.0ms

Algorithm
egg-herbie
Counts
626 → 626
Iterations

Useful iterations: 1 (43.0ms)

IterNodesCost
024057174
150016866

prune2.9s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.1b

regimes360.0ms

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04735
14735

end0.0ms

sample4.8s

Algorithm
intervals
Results
4.0s51980×body80valid