Details

Time bar (total: 7.0s)

sample54.0ms

Algorithm
intervals
Results
37.0ms470×body80valid

simplify111.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
06942
123142
290042
3375342
4500142

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize26.0ms

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 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
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)

rewrite694.0ms

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
15×associate-*l/
13×sqrt-prod
12×frac-add
9×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 → 155
Calls
4 calls:
328.0ms
(* (/ 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)))))
327.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
30.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series446.0ms

Counts
4 → 10
Calls
4 calls:
332.0ms
(* (/ 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)))))
64.0ms
(* (/ 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)))
0.0ms
(sqrt PI)

simplify70.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
011964518
150013850

prune698.0ms

Filtered
165 candidates to 108 candidates (65.5%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 0.047619047619047616 (pow (fabs x) 7))
0.1b
(* 0.2 (pow (fabs x) 5))
0.1b
(* (sqrt (/ 1 PI)) (+ (* 0.6666666666666666 (pow (fabs x) 3)) (+ (* 0.2 (pow (fabs x) 5)) (+ (* 2.0 (fabs x)) (* 0.047619047619047616 (pow (fabs x) 7))))))
0.1b
(* 0.6666666666666666 (pow (fabs x) 3))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
29×associate-*r*
25×associate-*l*
24×*-un-lft-identity
23×add-cube-cbrt
21×add-exp-log
16×sqrt-prod
14×unswap-sqr
12×unpow-prod-down add-cbrt-cube
11×times-frac
10×prod-exp
6×pow1 sqr-pow
4×cube-prod *-commutative cbrt-unprod add-log-exp
3×pow-to-exp sqrt-div pow-exp
2×frac-times flip3-+ associate-*r/ flip-+
1×distribute-rgt-in cube-mult distribute-lft-in unpow3 pow-prod-down associate-*l/ div-inv
Counts
4 → 122
Calls
4 calls:
5.0ms
(* 0.047619047619047616 (pow (fabs x) 7))
5.0ms
(* 0.2 (pow (fabs x) 5))
91.0ms
(* (sqrt (/ 1 PI)) (+ (* 0.6666666666666666 (pow (fabs x) 3)) (+ (* 0.2 (pow (fabs x) 5)) (+ (* 2.0 (fabs x)) (* 0.047619047619047616 (pow (fabs x) 7))))))
7.0ms
(* 0.6666666666666666 (pow (fabs x) 3))

series473.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(* 0.047619047619047616 (pow (fabs x) 7))
63.0ms
(* 0.2 (pow (fabs x) 5))
290.0ms
(* (sqrt (/ 1 PI)) (+ (* 0.6666666666666666 (pow (fabs x) 3)) (+ (* 0.2 (pow (fabs x) 5)) (+ (* 2.0 (fabs x)) (* 0.047619047619047616 (pow (fabs x) 7))))))
49.0ms
(* 0.6666666666666666 (pow (fabs x) 3))

simplify90.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
05931430
127951324
250021320

prune515.0ms

Filtered
134 candidates to 87 candidates (64.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* 0.047619047619047616 (pow (fabs x) 7/2)) (pow (fabs x) (/ 7 2)))
0.1b
(* (sqrt (/ 1 PI)) (+ (* 0.6666666666666666 (pow (fabs x) 3)) (+ (* 0.2 (pow (fabs x) 5)) (+ (* 2.0 (fabs x)) (* (* 0.047619047619047616 (pow (fabs x) 7/2)) (pow (fabs x) (/ 7 2)))))))
0.1b
(* 0.6666666666666666 (pow (fabs x) 3))
0.2b
(* 0.047619047619047616 (pow (fabs x) 7/2))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
42×add-exp-log
29×associate-*r*
28×prod-exp
23×*-un-lft-identity associate-*l*
22×add-cube-cbrt
16×sqrt-prod
15×add-cbrt-cube
11×unpow-prod-down times-frac unswap-sqr
9×pow-to-exp pow-exp
6×pow1 cbrt-unprod
5×sqr-pow
4×cube-prod *-commutative add-log-exp
3×sqrt-div
2×frac-times flip3-+ associate-*r/ flip-+
1×distribute-rgt-in cube-mult distribute-lft-in unpow3 pow-prod-down associate-*l/ div-inv
Counts
4 → 127
Calls
4 calls:
11.0ms
(* (* 0.047619047619047616 (pow (fabs x) 7/2)) (pow (fabs x) (/ 7 2)))
92.0ms
(* (sqrt (/ 1 PI)) (+ (* 0.6666666666666666 (pow (fabs x) 3)) (+ (* 0.2 (pow (fabs x) 5)) (+ (* 2.0 (fabs x)) (* (* 0.047619047619047616 (pow (fabs x) 7/2)) (pow (fabs x) (/ 7 2)))))))
7.0ms
(* 0.6666666666666666 (pow (fabs x) 3))
6.0ms
(* 0.047619047619047616 (pow (fabs x) 7/2))

series499.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(* (* 0.047619047619047616 (pow (fabs x) 7/2)) (pow (fabs x) (/ 7 2)))
286.0ms
(* (sqrt (/ 1 PI)) (+ (* 0.6666666666666666 (pow (fabs x) 3)) (+ (* 0.2 (pow (fabs x) 5)) (+ (* 2.0 (fabs x)) (* (* 0.047619047619047616 (pow (fabs x) 7/2)) (pow (fabs x) (/ 7 2)))))))
49.0ms
(* 0.6666666666666666 (pow (fabs x) 3))
87.0ms
(* 0.047619047619047616 (pow (fabs x) 7/2))

simplify88.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
06481799
132291596
250031524

prune566.0ms

Filtered
139 candidates to 85 candidates (61.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 0.6666666666666666 (pow (fabs x) 3))
15.1b
(cbrt (pow (fabs x) 7))
15.1b
(cbrt (pow (fabs x) 7))
15.1b
(cbrt (pow (fabs x) 7))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
13×unpow-prod-down
12×associate-*r*
9×add-exp-log
6×add-cbrt-cube
5×sqr-pow
4×pow1 cube-prod add-log-exp unswap-sqr
3×pow1/3 associate-*l* prod-exp
1×cube-mult pow-to-exp unpow3 pow-exp *-commutative cbrt-unprod
Counts
4 → 76
Calls
4 calls:
7.0ms
(* 0.6666666666666666 (pow (fabs x) 3))
1.0ms
(cbrt (pow (fabs x) 7))
1.0ms
(cbrt (pow (fabs x) 7))
1.0ms
(cbrt (pow (fabs x) 7))

series543.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* 0.6666666666666666 (pow (fabs x) 3))
166.0ms
(cbrt (pow (fabs x) 7))
166.0ms
(cbrt (pow (fabs x) 7))
167.0ms
(cbrt (pow (fabs x) 7))

simplify164.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0162463
1624419
23447413
35001413

prune391.0ms

Filtered
88 candidates to 59 candidates (67.0%)
Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes73.0ms

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
03819
13819

end0.0ms

sample1.2s

Algorithm
intervals
Results
977.0ms13889×body80valid