Details

Time bar (total: 5.0s)

sample59.0ms

Algorithm
intervals
Results
42.0ms459×body80valid

simplify111.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06942
123142
290042
3375342
4500142

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (fabs x) (fabs x)) (fabs x))
0.1b
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.1b
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b
(sqrt PI)

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
107×add-exp-log add-cbrt-cube
71×prod-exp cbrt-unprod
68×pow1
37×pow-prod-down
27×associate-*l*
22×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
18×times-frac
10×cbrt-undiv div-exp
6×pow-plus pow-prod-up
5×associate-*r*
4×add-log-exp
3×sqrt-prod *-commutative
2×pow2 associate-*l/ pow-sqr div-inv
1×rem-sqrt-square sqrt-pow1 pow1/2 pow3 unswap-sqr
Counts
4 → 137
Calls
4 calls:
6.0ms
(* (* (fabs x) (fabs x)) (fabs x))
60.0ms
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
11.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series152.0ms

Counts
4 → 10
Calls
4 calls:
26.0ms
(* (* (fabs x) (fabs x)) (fabs x))
73.0ms
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
52.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify84.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
07721574
13319931
25001834

prune380.0ms

Filtered
147 candidates to 72 candidates (49.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1443147
Fresh000
Picked101
Done000
Total1453148

Merged error: 0.1b

Counts
148 → 3

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (fabs x) (fabs x)) (fabs x))
0.1b
(* (/ 1.0 (sqrt PI)) (+ (+ (+ (* 2.0 (fabs x)) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* 0.047619047619047616 (pow (fabs x) 7))))
0.1b
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b
(sqrt PI)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
36×associate-*l*
35×pow1 add-exp-log add-cbrt-cube
29×times-frac
27×add-cube-cbrt *-un-lft-identity
17×prod-exp cbrt-unprod
13×sqrt-prod
10×pow-prod-down
7×associate-*r*
6×pow-plus pow-prod-up
4×cbrt-undiv div-exp add-log-exp unswap-sqr
3×*-commutative
2×pow2 frac-times flip3-+ associate-*r/ associate-*l/ pow-sqr flip-+ div-inv
1×distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 pow3
Counts
4 → 127
Calls
4 calls:
6.0ms
(* (* (fabs x) (fabs x)) (fabs x))
16.0ms
(* (/ 1.0 (sqrt PI)) (+ (+ (+ (* 2.0 (fabs x)) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* 0.047619047619047616 (pow (fabs x) 7))))
11.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series396.0ms

Counts
4 → 10
Calls
4 calls:
29.0ms
(* (* (fabs x) (fabs x)) (fabs x))
318.0ms
(* (/ 1.0 (sqrt PI)) (+ (+ (+ (* 2.0 (fabs x)) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* 0.047619047619047616 (pow (fabs x) 7))))
48.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify92.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
07112301
134681903
250011885

prune440.0ms

Filtered
137 candidates to 86 candidates (62.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1361137
Fresh112
Picked011
Done000
Total1373140

Merged error: 0b

Counts
140 → 3

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1.0 21.0) (pow (fabs x) 6))
0.1b
(* (* (/ 1.0 21.0) (pow (fabs x) 6)) (fabs x))
0.1b
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b
(sqrt PI)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
59×add-exp-log
39×add-cbrt-cube
36×add-sqr-sqrt
31×prod-exp
27×associate-*l*
22×add-cube-cbrt *-un-lft-identity
21×times-frac
19×cbrt-unprod
16×pow1
11×associate-*r*
9×div-exp
7×pow-prod-down
6×unswap-sqr
5×cbrt-undiv unpow-prod-down
4×pow-to-exp associate-*l/ pow-exp add-log-exp
3×sqrt-prod *-commutative sqr-pow
2×div-inv
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 118
Calls
4 calls:
8.0ms
(* (/ 1.0 21.0) (pow (fabs x) 6))
8.0ms
(* (* (/ 1.0 21.0) (pow (fabs x) 6)) (fabs x))
11.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series180.0ms

Counts
4 → 10
Calls
4 calls:
58.0ms
(* (/ 1.0 21.0) (pow (fabs x) 6))
73.0ms
(* (* (/ 1.0 21.0) (pow (fabs x) 6)) (fabs x))
48.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify76.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
0570826
12722691
25002675

prune405.0ms

Filtered
128 candidates to 79 candidates (61.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1280128
Fresh011
Picked011
Done011
Total1283131

Merged error: 0b

Counts
131 → 3

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (* 1.0 (* (pow (fabs x) 3) (* (fabs x) (fabs x)))) 5.0)
0.2b
(* (/ 2.0 3.0) (* (fabs x) (fabs x)))
0.3b
(/ (+ (+ (* 0.047619047619047616 (pow (fabs x) 7)) (* (fabs x) (+ (* (/ 2.0 3.0) (* (fabs x) (fabs x))) 2.0))) (/ (* 1.0 (* (pow (fabs x) 3) (* (fabs x) (fabs x)))) 5.0)) (sqrt PI))
1.0b
(sqrt PI)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
48×add-exp-log
45×*-un-lft-identity
37×times-frac
35×add-sqr-sqrt
32×add-cbrt-cube
31×add-cube-cbrt
22×prod-exp
18×sqrt-prod
13×associate-*l*
12×cbrt-unprod
11×div-exp
10×pow1
9×associate-/r*
7×cbrt-undiv distribute-lft-out
5×associate-/l*
4×associate-/l/ add-log-exp
3×pow-prod-down div-inv
2×pow-to-exp frac-2neg flip3-+ frac-add pow-exp clear-num flip-+ unswap-sqr
1×rem-sqrt-square sqrt-pow1 pow1/2 associate-*r* associate-*l/ *-commutative
Counts
4 → 127
Calls
4 calls:
11.0ms
(/ (* 1.0 (* (pow (fabs x) 3) (* (fabs x) (fabs x)))) 5.0)
8.0ms
(* (/ 2.0 3.0) (* (fabs x) (fabs x)))
13.0ms
(/ (+ (+ (* 0.047619047619047616 (pow (fabs x) 7)) (* (fabs x) (+ (* (/ 2.0 3.0) (* (fabs x) (fabs x))) 2.0))) (/ (* 1.0 (* (pow (fabs x) 3) (* (fabs x) (fabs x)))) 5.0)) (sqrt PI))
1.0ms
(sqrt PI)

series372.0ms

Counts
4 → 10
Calls
4 calls:
57.0ms
(/ (* 1.0 (* (pow (fabs x) 3) (* (fabs x) (fabs x)))) 5.0)
34.0ms
(* (/ 2.0 3.0) (* (fabs x) (fabs x)))
281.0ms
(/ (+ (+ (* 0.047619047619047616 (pow (fabs x) 7)) (* (fabs x) (+ (* (/ 2.0 3.0) (* (fabs x) (fabs x))) 2.0))) (/ (* 1.0 (* (pow (fabs x) 3) (* (fabs x) (fabs x)))) 5.0)) (sqrt PI))
0.0ms
(sqrt PI)

simplify89.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
06832473
129992226
250032174

prune431.0ms

Filtered
137 candidates to 88 candidates (64.2%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1370137
Fresh000
Picked011
Done022
Total1373140

Merged error: 0b

Counts
140 → 3

regimes48.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03830
13830

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.2s14047×body80valid

Profiling

Loading profile data...