Details

Time bar (total: 4.3s)

sample57.0ms

Algorithm
intervals
Results
45.0ms440×body80valid

simplify112.0ms

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 (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1

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 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
0.1b
(* (/ 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)

rewrite63.0ms

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:
19.0ms
(* (/ 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)))))
22.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
14.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series73.0ms

Counts
4 → 10
Calls
4 calls:
56.0ms
(* (/ 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)))))
10.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
7.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify59.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
011964518
150013850

prune416.0ms

Filtered
165 candidates to 108 candidates (34.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1587165
Fresh000
Picked011
Done000
Total1588166

Merged error: 0b

Counts
166 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 0.2 (pow (fabs x) 5))
0.1b
(* 0.047619047619047616 (pow (fabs x) 7))
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))

rewrite37.0ms

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
(* 0.2 (pow (fabs x) 5))
7.0ms
(* 0.047619047619047616 (pow (fabs x) 7))
15.0ms
(* (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))))))
6.0ms
(* 0.6666666666666666 (pow (fabs x) 3))

series74.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* 0.2 (pow (fabs x) 5))
11.0ms
(* 0.047619047619047616 (pow (fabs x) 7))
44.0ms
(* (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))

simplify83.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
05931430
127951324
250021320

prune351.0ms

Filtered
134 candidates to 87 candidates (35.1%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1304134
Fresh516
Picked101
Done101
Total1375142

Merged error: 0b

Counts
142 → 5

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 0.047619047619047616 (pow (fabs x) 7/2))
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))

rewrite39.0ms

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:
5.0ms
(* 0.047619047619047616 (pow (fabs x) 7/2))
7.0ms
(* (* 0.047619047619047616 (pow (fabs x) 7/2)) (pow (fabs x) (/ 7 2)))
15.0ms
(* (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)))))))
6.0ms
(* 0.6666666666666666 (pow (fabs x) 3))

series82.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* 0.047619047619047616 (pow (fabs x) 7/2))
12.0ms
(* (* 0.047619047619047616 (pow (fabs x) 7/2)) (pow (fabs x) (/ 7 2)))
45.0ms
(* (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)))))))
9.0ms
(* 0.6666666666666666 (pow (fabs x) 3))

simplify95.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
06481683
131921444
250011438

prune352.0ms

Filtered
139 candidates to 85 candidates (38.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1390139
Fresh044
Picked011
Done000
Total1395144

Merged error: 0b

Counts
144 → 5

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (sqrt (/ 1 PI)) (+ (* 0.6666666666666666 (pow (fabs x) 3)) (+ (* 0.2 (pow (fabs x) 5)) (+ (* 2.0 (fabs x)) (* (sqrt (* 0.047619047619047616 (pow (fabs x) 7))) (sqrt (* 0.047619047619047616 (pow (fabs x) 7))))))))
0.1b
(* 0.6666666666666666 (pow (fabs x) 3))
6.9b
(sqrt (* 0.047619047619047616 (pow (fabs x) 7)))
6.9b
(sqrt (* 0.047619047619047616 (pow (fabs x) 7)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
19×associate-*l*
18×*-un-lft-identity sqrt-prod
17×add-cube-cbrt
15×associate-*r*
11×add-exp-log times-frac
8×pow1 add-cbrt-cube unswap-sqr
4×unpow-prod-down cube-prod prod-exp add-log-exp
3×sqrt-div
2×frac-times sqrt-pow1 flip3-+ pow1/2 associate-*r/ *-commutative cbrt-unprod flip-+ sqr-pow
1×distribute-rgt-in cube-mult pow-to-exp distribute-lft-in unpow3 pow-prod-down associate-*l/ pow-exp div-inv
Counts
4 → 92
Calls
4 calls:
15.0ms
(* (sqrt (/ 1 PI)) (+ (* 0.6666666666666666 (pow (fabs x) 3)) (+ (* 0.2 (pow (fabs x) 5)) (+ (* 2.0 (fabs x)) (* (sqrt (* 0.047619047619047616 (pow (fabs x) 7))) (sqrt (* 0.047619047619047616 (pow (fabs x) 7))))))))
6.0ms
(* 0.6666666666666666 (pow (fabs x) 3))
3.0ms
(sqrt (* 0.047619047619047616 (pow (fabs x) 7)))
4.0ms
(sqrt (* 0.047619047619047616 (pow (fabs x) 7)))

series95.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(* (sqrt (/ 1 PI)) (+ (* 0.6666666666666666 (pow (fabs x) 3)) (+ (* 0.2 (pow (fabs x) 5)) (+ (* 2.0 (fabs x)) (* (sqrt (* 0.047619047619047616 (pow (fabs x) 7))) (sqrt (* 0.047619047619047616 (pow (fabs x) 7))))))))
7.0ms
(* 0.6666666666666666 (pow (fabs x) 3))
18.0ms
(sqrt (* 0.047619047619047616 (pow (fabs x) 7)))
18.0ms
(sqrt (* 0.047619047619047616 (pow (fabs x) 7)))

simplify72.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
04701505
122001328
250011314

prune300.0ms

Filtered
104 candidates to 72 candidates (30.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1031104
Fresh123
Picked101
Done011
Total1054109

Merged error: 0b

Counts
109 → 4

regimes81.0ms

Accuracy

0% (0.1b 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

sample1.7s

Algorithm
intervals
Results
1.3s14004×body80valid

Profiling

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