Details

Time bar (total: 4.6s)

sample66.0ms

Algorithm
intervals
Results
52.0ms472×body80valid

simplify37.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
0502233

prune13.0ms

Filtered
1 candidates to 1 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 → 2

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (pow (fabs x) 7) 21.0)
0.1b
(/ (pow (fabs x) 3) 3.0)
0.1b
(* (/ 1.0 (sqrt PI)) (+ (* 2.0 (+ (fabs x) (/ (pow (fabs x) 3) 3.0))) (* 1.0 (+ (/ (pow (fabs x) 5) 5.0) (/ (pow (fabs x) 7) 21.0)))))
1.0b
(sqrt PI)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
77×times-frac
69×add-sqr-sqrt
60×add-cube-cbrt *-un-lft-identity
32×associate-*r/
24×unpow-prod-down
22×associate-*l*
19×add-exp-log associate-/l*
16×frac-add
13×sqrt-prod add-cbrt-cube
12×flip3-+ cube-prod flip-+
8×frac-times sqr-pow
7×pow1 div-exp
6×associate-/r*
4×cube-mult unpow3 add-log-exp
3×cbrt-undiv associate-*r* div-inv unswap-sqr
2×pow-to-exp frac-2neg pow-exp prod-exp clear-num cbrt-unprod
1×distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 pow-prod-down associate-*l/ *-commutative
Counts
4 → 183
Calls
4 calls:
6.0ms
(/ (pow (fabs x) 7) 21.0)
6.0ms
(/ (pow (fabs x) 3) 3.0)
28.0ms
(* (/ 1.0 (sqrt PI)) (+ (* 2.0 (+ (fabs x) (/ (pow (fabs x) 3) 3.0))) (* 1.0 (+ (/ (pow (fabs x) 5) 5.0) (/ (pow (fabs x) 7) 21.0)))))
2.0ms
(sqrt PI)

series86.0ms

Counts
4 → 10
Calls
4 calls:
14.0ms
(/ (pow (fabs x) 7) 21.0)
8.0ms
(/ (pow (fabs x) 3) 3.0)
64.0ms
(* (/ 1.0 (sqrt PI)) (+ (* 2.0 (+ (fabs x) (/ (pow (fabs x) 3) 3.0))) (* 1.0 (+ (/ (pow (fabs x) 5) 5.0) (/ (pow (fabs x) 7) 21.0)))))
0.0ms
(sqrt PI)

simplify65.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
049724254
149724254

prune594.0ms

Filtered
133 candidates to 193 candidates (-45.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1903193
Fresh101
Picked011
Done000
Total1914195

Merged error: 0.0b

Counts
195 → 4

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (pow (fabs x) 7) 21.0)
0.1b
(/ (pow (fabs x) 3) 3.0)
0.3b
(/ (+ (* 2.0 (+ (fabs x) (/ (pow (fabs x) 3) 3.0))) (* 1.0 (+ (/ (pow (fabs x) 5) 5.0) (/ (pow (fabs x) 7) 21.0)))) (sqrt PI))
1.0b
(sqrt PI)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
62×add-sqr-sqrt
61×add-cube-cbrt *-un-lft-identity
24×unpow-prod-down
22×associate-/l*
16×add-exp-log
15×sqrt-prod
12×cube-prod associate-*r/ associate-/r*
10×add-cbrt-cube
8×frac-add associate-/l/ sqr-pow
7×div-exp
6×flip3-+ flip-+
5×pow1
4×cube-mult unpow3 add-log-exp
3×cbrt-undiv frac-2neg clear-num div-inv
2×pow-to-exp pow-exp
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 170
Calls
4 calls:
6.0ms
(/ (pow (fabs x) 7) 21.0)
6.0ms
(/ (pow (fabs x) 3) 3.0)
24.0ms
(/ (+ (* 2.0 (+ (fabs x) (/ (pow (fabs x) 3) 3.0))) (* 1.0 (+ (/ (pow (fabs x) 5) 5.0) (/ (pow (fabs x) 7) 21.0)))) (sqrt PI))
2.0ms
(sqrt PI)

series77.0ms

Counts
4 → 10
Calls
4 calls:
13.0ms
(/ (pow (fabs x) 7) 21.0)
8.0ms
(/ (pow (fabs x) 3) 3.0)
56.0ms
(/ (+ (* 2.0 (+ (fabs x) (/ (pow (fabs x) 3) 3.0))) (* 1.0 (+ (/ (pow (fabs x) 5) 5.0) (/ (pow (fabs x) 7) 21.0)))) (sqrt PI))
0.0ms
(sqrt PI)

simplify45.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
054403447

prune693.0ms

Filtered
119 candidates to 180 candidates (-51.3%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1782180
Fresh112
Picked101
Done101
Total1813184

Merged error: 0b

Counts
184 → 3

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (pow (fabs x) 3) 3.0)
0.3b
(/ (+ (* 2.0 (+ (fabs x) (/ (pow (fabs x) 3) 3.0))) (* 1.0 (+ (/ (pow (fabs x) 5) 5.0) (/ (pow (fabs x) 7) 21.0)))) (* (sqrt (sqrt PI)) (sqrt (sqrt PI))))
1.0b
(sqrt PI)
1.0b
(sqrt PI)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
39×times-frac
35×add-sqr-sqrt
33×add-cube-cbrt *-un-lft-identity
15×associate-/l*
14×add-exp-log
12×unpow-prod-down cube-prod associate-*r/
11×add-cbrt-cube
8×frac-add associate-/l/
6×pow1 flip3-+ sqrt-prod flip-+
5×div-exp
4×cube-mult unpow3 associate-/r* add-log-exp sqr-pow
3×cbrt-undiv
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num div-inv
1×pow-to-exp pow-exp prod-exp cbrt-unprod
Counts
4 → 120
Calls
4 calls:
7.0ms
(/ (pow (fabs x) 3) 3.0)
31.0ms
(/ (+ (* 2.0 (+ (fabs x) (/ (pow (fabs x) 3) 3.0))) (* 1.0 (+ (/ (pow (fabs x) 5) 5.0) (/ (pow (fabs x) 7) 21.0)))) (* (sqrt (sqrt PI)) (sqrt (sqrt PI))))
2.0ms
(sqrt PI)
2.0ms
(sqrt PI)

series62.0ms

Counts
4 → 8
Calls
4 calls:
8.0ms
(/ (pow (fabs x) 3) 3.0)
54.0ms
(/ (+ (* 2.0 (+ (fabs x) (/ (pow (fabs x) 3) 3.0))) (* 1.0 (+ (/ (pow (fabs x) 5) 5.0) (/ (pow (fabs x) 7) 21.0)))) (* (sqrt (sqrt PI)) (sqrt (sqrt PI))))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify32.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
054501922

prune321.0ms

Filtered
83 candidates to 128 candidates (-54.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1280128
Fresh022
Picked011
Done000
Total1283131

Merged error: 0b

Counts
131 → 3

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (pow (fabs x) 7) 0.047619047619047616)
0.1b
(/ (pow (fabs x) 3) 3.0)
0.3b
(/ (+ (* 2.0 (+ (fabs x) (/ (pow (fabs x) 3) 3.0))) (* 1.0 (+ (/ (pow (fabs x) 5) 5.0) (* (pow (fabs x) 7) 0.047619047619047616)))) (sqrt PI))
1.0b
(sqrt PI)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt times-frac
48×add-cube-cbrt *-un-lft-identity
16×add-exp-log unpow-prod-down
15×sqrt-prod associate-/l*
12×cube-prod
10×add-cbrt-cube
9×associate-/r*
8×associate-*r/
7×associate-*l*
6×associate-/l/ sqr-pow
5×pow1 flip3-+ flip-+
4×cube-mult unpow3 div-exp frac-add add-log-exp
3×associate-*r* prod-exp unswap-sqr
2×cbrt-undiv pow-to-exp frac-2neg pow-exp clear-num div-inv
1×rem-sqrt-square sqrt-pow1 pow1/2 *-commutative cbrt-unprod
Counts
4 → 148
Calls
4 calls:
6.0ms
(* (pow (fabs x) 7) 0.047619047619047616)
6.0ms
(/ (pow (fabs x) 3) 3.0)
25.0ms
(/ (+ (* 2.0 (+ (fabs x) (/ (pow (fabs x) 3) 3.0))) (* 1.0 (+ (/ (pow (fabs x) 5) 5.0) (* (pow (fabs x) 7) 0.047619047619047616)))) (sqrt PI))
2.0ms
(sqrt PI)

series74.0ms

Counts
4 → 10
Calls
4 calls:
13.0ms
(* (pow (fabs x) 7) 0.047619047619047616)
8.0ms
(/ (pow (fabs x) 3) 3.0)
53.0ms
(/ (+ (* 2.0 (+ (fabs x) (/ (pow (fabs x) 3) 3.0))) (* 1.0 (+ (/ (pow (fabs x) 5) 5.0) (* (pow (fabs x) 7) 0.047619047619047616)))) (sqrt PI))
0.0ms
(sqrt PI)

simplify40.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
051733111

prune369.0ms

Filtered
100 candidates to 158 candidates (-58.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1580158
Fresh011
Picked011
Done011
Total1583161

Merged error: 0b

Counts
161 → 3

regimes76.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03438
13438

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.4s14014×body80valid

Profiling

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