Details

Time bar (total: 6.1s)

sample55.0ms

Algorithm
intervals
Results
39.0ms431×body80valid

simplify105.0ms

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: 0.2b

Counts
2 → 1

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
107×add-exp-log add-cbrt-cube
70×prod-exp cbrt-unprod
51×pow1
48×associate-*l*
42×add-sqr-sqrt
38×times-frac
35×pow-prod-down
33×add-cube-cbrt *-un-lft-identity
15×associate-*l/
13×sqrt-prod
12×frac-add
11×cbrt-undiv div-exp
6×frac-times flip3-+ associate-*r/ flip-+
5×associate-*r*
4×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 → 165
Calls
4 calls:
12.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
63.0ms
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
20.0ms
(* (/ 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 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
1.0ms
(sqrt PI)

series434.0ms

Counts
4 → 10
Calls
4 calls:
43.0ms
(* (/ 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)))
319.0ms
(* (/ 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 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
0.0ms
(sqrt PI)

simplify67.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
013384946
150024033

prune646.0ms

Filtered
175 candidates to 109 candidates (62.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1687175
Fresh000
Picked101
Done000
Total1697176

Merged error: 0b

Counts
176 → 7

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite67.0ms

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
35×*-un-lft-identity
33×add-cube-cbrt
22×pow-prod-down
13×sqrt-prod
12×frac-add
9×cbrt-undiv div-exp
7×associate-*l/
6×frac-times flip3-+ associate-*r/ associate-*r* flip-+
4×add-log-exp
3×*-commutative div-inv unswap-sqr
1×distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 distribute-lft-out
Counts
4 → 156
Calls
4 calls:
26.0ms
(* (/ 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)))
18.0ms
(* (/ 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 (pow (fabs x) 6)) (fabs x)) 21.0)))
1.0ms
(sqrt PI)

series432.0ms

Counts
4 → 10
Calls
4 calls:
62.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
43.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
327.0ms
(* (/ 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 (pow (fabs x) 6)) (fabs x)) 21.0)))
0.0ms
(sqrt PI)

simplify57.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
011923891
150013235

prune658.0ms

Filtered
166 candidates to 108 candidates (65.1%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1651166
Fresh246
Picked101
Done000
Total1685173

Merged error: 0b

Counts
173 → 5

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.1b
(* (/ 2.0 3.0) (* (* (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))))
1.0b
(sqrt PI)

rewrite66.0ms

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
13×sqrt-prod
9×cbrt-undiv div-exp
5×associate-*r*
4×add-log-exp
3×associate-*l/ *-commutative div-inv unswap-sqr
2×frac-times flip3-+ associate-*r/ flip-+
1×distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2
Counts
4 → 147
Calls
4 calls:
28.0ms
(* (/ 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)))
17.0ms
(* (/ 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))))
2.0ms
(sqrt PI)

series437.0ms

Counts
4 → 10
Calls
4 calls:
62.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
49.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
326.0ms
(* (/ 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))))
0.0ms
(sqrt PI)

simplify114.0ms

Algorithm
egg-herbie
Counts
157 → 157
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
09442890
144322265
250022186

prune535.0ms

Filtered
157 candidates to 99 candidates (63.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1561157
Fresh224
Picked011
Done000
Total1584162

Merged error: 0b

Counts
162 → 4

localize36.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt PI)
1.0b
(* (cbrt PI) (cbrt PI))
1.0b
(/ 1 (sqrt (* (cbrt PI) (cbrt PI))))
1.0b
(sqrt (* (cbrt PI) (cbrt PI)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
28×pow1
22×add-cube-cbrt *-un-lft-identity
19×cbrt-prod pow1/3
18×sqrt-pow1
12×times-frac
11×pow-flip
10×add-exp-log
6×swap-sqr associate-*r* associate-*l* pow-prod-down pow-sqr pow-prod-up add-cbrt-cube
5×sqrt-prod
4×associate-/r* add-log-exp unswap-sqr
3×pow2 pow-plus associate-/l*
2×pow1/2 div-exp
1×cbrt-undiv rem-sqrt-square rec-exp frac-2neg 1-exp prod-exp clear-num *-commutative cbrt-unprod div-inv inv-pow
Counts
4 → 115
Calls
4 calls:
1.0ms
(cbrt PI)
6.0ms
(* (cbrt PI) (cbrt PI))
7.0ms
(/ 1 (sqrt (* (cbrt PI) (cbrt PI))))
4.0ms
(sqrt (* (cbrt PI) (cbrt PI)))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(cbrt PI)
0.0ms
(* (cbrt PI) (cbrt PI))
0.0ms
(/ 1 (sqrt (* (cbrt PI) (cbrt PI))))
0.0ms
(sqrt (* (cbrt PI) (cbrt PI)))

simplify145.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 3 (136.0ms)

IterNodesCost
0247706
1876647
24260542
35002537

prune420.0ms

Filtered
119 candidates to 69 candidates (58.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1190119
Fresh022
Picked011
Done011
Total1194123

Merged error: 0b

Counts
123 → 4

regimes113.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03830
13830

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.3s14120×body80valid