Details

Time bar (total: 5.8s)

sample59.0ms

Algorithm
intervals
Results
42.0ms445×body80valid

simplify113.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07042
125242
2105942
3471342
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: 0.5b

Counts
2 → 1

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.2b
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.3b
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
1.0b
(sqrt PI)

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
147×add-exp-log add-cbrt-cube
98×prod-exp cbrt-unprod
69×pow1
49×pow-prod-down
39×associate-*l*
27×add-sqr-sqrt times-frac
26×add-cube-cbrt *-un-lft-identity
15×cbrt-undiv div-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*r* associate-*l/ sqrt-prod *-commutative div-inv
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 165
Calls
4 calls:
22.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
12.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
61.0ms
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
2.0ms
(sqrt PI)

series188.0ms

Counts
4 → 10
Calls
4 calls:
64.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
51.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
72.0ms
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify105.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
09572149
140241345
250011165

prune512.0ms

Filtered
175 candidates to 94 candidates (53.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1714175
Fresh000
Picked101
Done000
Total1724176

Merged error: 0.1b

Counts
176 → 4

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1.0 21.0) (pow (fabs x) 6))
0.2b
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.2b
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b
(sqrt PI)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
83×add-exp-log
75×add-cbrt-cube
48×prod-exp
44×cbrt-unprod
42×add-sqr-sqrt
39×associate-*l*
34×pow1
30×times-frac
28×add-cube-cbrt *-un-lft-identity
21×pow-prod-down
11×div-exp
9×cbrt-undiv associate-*r*
6×unswap-sqr
5×unpow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*l/ sqrt-prod *-commutative div-inv sqr-pow
2×pow-to-exp pow-exp
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 150
Calls
4 calls:
8.0ms
(* (/ 1.0 21.0) (pow (fabs x) 6))
23.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
11.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms
(sqrt PI)

series376.0ms

Counts
4 → 10
Calls
4 calls:
59.0ms
(* (/ 1.0 21.0) (pow (fabs x) 6))
267.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
51.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify97.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
07861280
13469994
25002944

prune545.0ms

Filtered
160 candidates to 99 candidates (61.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1591160
Fresh033
Picked011
Done000
Total1595164

Merged error: 0.1b

Counts
164 → 5

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.2b
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.3b
(/ (* (fabs x) (pow (fabs x) 6)) 21.0)
1.0b
(sqrt PI)

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
80×add-exp-log
75×add-cbrt-cube
45×prod-exp
43×cbrt-unprod
34×pow1
26×associate-*l*
22×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity times-frac pow-prod-down
12×div-exp
10×cbrt-undiv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r* sqrt-prod div-inv
2×associate-*r* associate-*l/ *-commutative
1×pow-to-exp rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 pow-exp clear-num associate-/l*
Counts
4 → 130
Calls
4 calls:
23.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
12.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
5.0ms
(/ (* (fabs x) (pow (fabs x) 6)) 21.0)
2.0ms
(sqrt PI)

series183.0ms

Counts
4 → 10
Calls
4 calls:
61.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
48.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
73.0ms
(/ (* (fabs x) (pow (fabs x) 6)) 21.0)
0.0ms
(sqrt PI)

simplify86.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
07111223
13294868
25003812

prune470.0ms

Filtered
140 candidates to 86 candidates (61.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1382140
Fresh123
Picked011
Done011
Total1396145

Merged error: 0.1b

Counts
145 → 6

localize25.0ms

Local error

Found 4 expressions with local error:

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)))) (* 1.0 (/ (fabs x) (/ 21.0 (pow (fabs x) 6))))))
0.2b
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.2b
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b
(sqrt PI)

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
75×add-exp-log add-cbrt-cube
48×associate-*l*
44×prod-exp cbrt-unprod
42×add-sqr-sqrt
38×times-frac
36×pow1
33×add-cube-cbrt *-un-lft-identity
22×pow-prod-down
14×associate-*r/
13×sqrt-prod
12×frac-add
9×cbrt-undiv div-exp
7×associate-*l/
6×frac-times flip3-+ flip-+
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative div-inv unswap-sqr
1×distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2
Counts
4 → 163
Calls
4 calls:
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)))) (* 1.0 (/ (fabs x) (/ 21.0 (pow (fabs x) 6))))))
25.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
11.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms
(sqrt PI)

series430.0ms

Counts
4 → 10
Calls
4 calls:
321.0ms
(* (/ 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)))) (* 1.0 (/ (fabs x) (/ 21.0 (pow (fabs x) 6))))))
64.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
45.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify62.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
012343925
150023164

prune660.0ms

Filtered
173 candidates to 117 candidates (67.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1685173
Fresh303
Picked101
Done112
Total1736179

Merged error: 0b

Counts
179 → 6

regimes95.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04135
14135

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.2s14125×body80valid