Details

Time bar (total: 7.0s)

sample45.0ms

Algorithm
intervals
Results
30.0ms454×body80valid

simplify106.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06942
123142
290042
3375342
4500142

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize27.0ms

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

rewrite658.0ms

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:
302.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
322.0ms
(* (/ 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)))))
25.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series446.0ms

Counts
4 → 10
Calls
4 calls:
65.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
331.0ms
(* (/ 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)))))
50.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify67.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
011964518
150023785

prune681.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize20.0ms

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
(* 0.6666666666666666 (pow (fabs x) 3))
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))))))

rewrite111.0ms

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:
7.0ms
(* 0.047619047619047616 (pow (fabs x) 7))
5.0ms
(* 0.2 (pow (fabs x) 5))
6.0ms
(* 0.6666666666666666 (pow (fabs x) 3))
88.0ms
(* (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))))))

series472.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(* 0.047619047619047616 (pow (fabs x) 7))
62.0ms
(* 0.2 (pow (fabs x) 5))
44.0ms
(* 0.6666666666666666 (pow (fabs x) 3))
291.0ms
(* (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))))))

simplify82.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
05931430
127951324
250021320

prune525.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
29×associate-*l*
25×associate-*r*
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:
8.0ms
(* (pow (fabs x) 7) 0.047619047619047616)
5.0ms
(* 0.2 (pow (fabs x) 5))
6.0ms
(* 0.6666666666666666 (pow (fabs x) 3))
88.0ms
(* (sqrt (/ 1 PI)) (+ (* 0.6666666666666666 (pow (fabs x) 3)) (+ (* 0.2 (pow (fabs x) 5)) (+ (* 2.0 (fabs x)) (* (pow (fabs x) 7) 0.047619047619047616)))))

series479.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(* (pow (fabs x) 7) 0.047619047619047616)
63.0ms
(* 0.2 (pow (fabs x) 5))
44.0ms
(* 0.6666666666666666 (pow (fabs x) 3))
293.0ms
(* (sqrt (/ 1 PI)) (+ (* 0.6666666666666666 (pow (fabs x) 3)) (+ (* 0.2 (pow (fabs x) 5)) (+ (* 2.0 (fabs x)) (* (pow (fabs x) 7) 0.047619047619047616)))))

simplify84.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
06021430
129101324
250031320

prune541.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
42×add-exp-log
33×associate-*l*
28×prod-exp
23×*-un-lft-identity
22×add-cube-cbrt
19×associate-*r*
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:
10.0ms
(* (pow (fabs x) (/ 7 2)) (* (pow (fabs x) 7/2) 0.047619047619047616))
6.0ms
(* 0.6666666666666666 (pow (fabs x) 3))
5.0ms
(* (pow (fabs x) 7/2) 0.047619047619047616)
89.0ms
(* (sqrt (/ 1 PI)) (+ (* 0.6666666666666666 (pow (fabs x) 3)) (+ (* 0.2 (pow (fabs x) 5)) (+ (* 2.0 (fabs x)) (* (pow (fabs x) (/ 7 2)) (* (pow (fabs x) 7/2) 0.047619047619047616))))))

series508.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* (pow (fabs x) (/ 7 2)) (* (pow (fabs x) 7/2) 0.047619047619047616))
50.0ms
(* 0.6666666666666666 (pow (fabs x) 3))
90.0ms
(* (pow (fabs x) 7/2) 0.047619047619047616)
295.0ms
(* (sqrt (/ 1 PI)) (+ (* 0.6666666666666666 (pow (fabs x) 3)) (+ (* 0.2 (pow (fabs x) 5)) (+ (* 2.0 (fabs x)) (* (pow (fabs x) (/ 7 2)) (* (pow (fabs x) 7/2) 0.047619047619047616))))))

simplify92.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
06301676
129881435
250011429

prune561.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes130.0ms

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

sample1.1s

Algorithm
intervals
Results
923.0ms13994×body80valid