Details

Time bar (total: 5.8s)

sample49.0ms

Algorithm
intervals
Results
32.0ms470×body80valid

simplify107.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
06942
123142
290042
3375342
4500142

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize30.0ms

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)

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)))))
23.0ms
(* (/ 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)))
2.0ms
(sqrt PI)

series436.0ms

Counts
4 → 10
Calls
4 calls:
323.0ms
(* (/ 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)))))
61.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
51.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify66.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
011964518
150013850

prune659.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize23.0ms

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))

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
(* 0.047619047619047616 (pow (fabs x) 7))
6.0ms
(* 0.2 (pow (fabs x) 5))
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))

series458.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(* 0.047619047619047616 (pow (fabs x) 7))
60.0ms
(* 0.2 (pow (fabs x) 5))
278.0ms
(* (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))

simplify85.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
05931430
127951324
250021320

prune495.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 0.6666666666666666 (pow (fabs x) 3))
0.2b
(* 0.047619047619047616 (sqrt (pow (fabs x) 7)))
7.6b
(sqrt (pow (fabs x) 7))
7.6b
(sqrt (pow (fabs x) 7))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
24×sqrt-prod
22×associate-*r*
16×add-cube-cbrt unpow-prod-down *-un-lft-identity
11×add-exp-log
8×add-cbrt-cube unswap-sqr sqr-pow
6×pow1 rem-sqrt-square associate-*l*
4×cube-prod prod-exp add-log-exp
2×sqrt-pow1 pow1/2 *-commutative cbrt-unprod
1×cube-mult pow-to-exp unpow3 pow-prod-down pow-exp
Counts
4 → 97
Calls
4 calls:
6.0ms
(* 0.6666666666666666 (pow (fabs x) 3))
6.0ms
(* 0.047619047619047616 (sqrt (pow (fabs x) 7)))
2.0ms
(sqrt (pow (fabs x) 7))
3.0ms
(sqrt (pow (fabs x) 7))

series267.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* 0.6666666666666666 (pow (fabs x) 3))
86.0ms
(* 0.047619047619047616 (sqrt (pow (fabs x) 7)))
65.0ms
(sqrt (pow (fabs x) 7))
70.0ms
(sqrt (pow (fabs x) 7))

simplify178.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0223524
1869487
24296487
35002487

prune453.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize24.0ms

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))

rewrite18.0ms

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:
9.0ms
(* 0.6666666666666666 (pow (fabs x) 3))
2.0ms
(cbrt (pow (fabs x) 7))
2.0ms
(cbrt (pow (fabs x) 7))
2.0ms
(cbrt (pow (fabs x) 7))

series532.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* 0.6666666666666666 (pow (fabs x) 3))
163.0ms
(cbrt (pow (fabs x) 7))
162.0ms
(cbrt (pow (fabs x) 7))
159.0ms
(cbrt (pow (fabs x) 7))

simplify167.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0162463
1624419
23447413
35001413

prune374.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes72.0ms

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
03819
13819

end0.0ms

sample1.1s

Algorithm
intervals
Results
947.0ms13889×body80valid