Details

Time bar (total: 6.9s)

sample52.0ms

Algorithm
intervals
Results
35.0ms470×body80valid

simplify108.0ms

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

localize24.0ms

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)

rewrite662.0ms

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:
312.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
312.0ms
(* (/ 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)))))
29.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series445.0ms

Counts
4 → 10
Calls
4 calls:
59.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
336.0ms
(* (/ 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)

simplify65.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
011964519
150023786

prune684.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize26.0ms

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))))))

rewrite112.0ms

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))
7.0ms
(* 0.6666666666666666 (pow (fabs x) 3))
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))))))

series471.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(* 0.047619047619047616 (pow (fabs x) 7))
63.0ms
(* 0.2 (pow (fabs x) 5))
49.0ms
(* 0.6666666666666666 (pow (fabs x) 3))
289.0ms
(* (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))))))

simplify85.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
05931430
127951324
250021320

prune508.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
38×associate-*l*
29×*-un-lft-identity sqrt-prod
28×add-cube-cbrt
26×add-exp-log
23×associate-*r*
20×times-frac
15×add-cbrt-cube
14×prod-exp
11×unswap-sqr
8×pow1 unpow-prod-down
6×cbrt-unprod
4×sqrt-div cube-prod *-commutative add-log-exp sqr-pow
3×pow-to-exp pow-exp
2×frac-times flip3-+ associate-*r/ pow-prod-down associate-*l/ flip-+ div-inv
1×distribute-rgt-in cube-mult distribute-lft-in unpow3
Counts
4 → 130
Calls
4 calls:
5.0ms
(* 0.2 (pow (fabs x) 5))
7.0ms
(* 0.6666666666666666 (pow (fabs x) 3))
17.0ms
(* (sqrt (/ 1 PI)) (* 0.6666666666666666 (pow (fabs x) 3)))
35.0ms
(* (sqrt (/ 1 PI)) (+ (* 0.2 (pow (fabs x) 5)) (+ (* 2.0 (fabs x)) (* 0.047619047619047616 (pow (fabs x) 7)))))

series457.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* 0.2 (pow (fabs x) 5))
43.0ms
(* 0.6666666666666666 (pow (fabs x) 3))
124.0ms
(* (sqrt (/ 1 PI)) (* 0.6666666666666666 (pow (fabs x) 3)))
227.0ms
(* (sqrt (/ 1 PI)) (+ (* 0.2 (pow (fabs x) 5)) (+ (* 2.0 (fabs x)) (* 0.047619047619047616 (pow (fabs x) 7)))))

simplify78.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
06011335
128621224
250011220

prune559.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (* 0.047619047619047616 (pow (fabs x) 7))) (cbrt (* 0.047619047619047616 (pow (fabs x) 7))))
16.8b
(cbrt (* 0.047619047619047616 (pow (fabs x) 7)))
16.8b
(cbrt (* 0.047619047619047616 (pow (fabs x) 7)))
16.8b
(cbrt (* 0.047619047619047616 (pow (fabs x) 7)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
6.0ms
(* (cbrt (* 0.047619047619047616 (pow (fabs x) 7))) (cbrt (* 0.047619047619047616 (pow (fabs x) 7))))
2.0ms
(cbrt (* 0.047619047619047616 (pow (fabs x) 7)))
2.0ms
(cbrt (* 0.047619047619047616 (pow (fabs x) 7)))
2.0ms
(cbrt (* 0.047619047619047616 (pow (fabs x) 7)))

series852.0ms

Counts
4 → 12
Calls
4 calls:
243.0ms
(* (cbrt (* 0.047619047619047616 (pow (fabs x) 7))) (cbrt (* 0.047619047619047616 (pow (fabs x) 7))))
200.0ms
(cbrt (* 0.047619047619047616 (pow (fabs x) 7)))
201.0ms
(cbrt (* 0.047619047619047616 (pow (fabs x) 7)))
207.0ms
(cbrt (* 0.047619047619047616 (pow (fabs x) 7)))

simplify63.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (57.0ms)

IterNodesCost
0102481
1377406
21859369
35001363

prune294.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes62.0ms

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
04022
14022

end0.0ms

sample1.1s

Algorithm
intervals
Results
957.0ms14154×body80valid