Details

Time bar (total: 5.1s)

sample48.0ms

Algorithm
intervals
Results
32.0ms401×body80valid

simplify104.0ms

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

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (fabs x) (fabs x)) (fabs x))
0.1b
(* (* (fabs x) (fabs x)) (fabs x))
0.1b
(* (* (fabs x) (fabs x)) (fabs x))
1.0b
(sqrt PI)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
62×pow1
19×add-exp-log add-cbrt-cube
18×pow-plus pow-prod-up
12×add-sqr-sqrt
9×associate-*r* pow-prod-down prod-exp cbrt-unprod
8×add-cube-cbrt *-un-lft-identity
6×pow2 pow-sqr
4×add-log-exp
3×associate-*l* pow3 sqrt-prod *-commutative unswap-sqr
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 97
Calls
4 calls:
8.0ms
(* (* (fabs x) (fabs x)) (fabs x))
7.0ms
(* (* (fabs x) (fabs x)) (fabs x))
7.0ms
(* (* (fabs x) (fabs x)) (fabs x))
1.0ms
(sqrt PI)

series83.0ms

Counts
4 → 10
Calls
4 calls:
26.0ms
(* (* (fabs x) (fabs x)) (fabs x))
26.0ms
(* (* (fabs x) (fabs x)) (fabs x))
31.0ms
(* (* (fabs x) (fabs x)) (fabs x))
0.0ms
(sqrt PI)

simplify82.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (71.0ms)

IterNodesCost
0164423
1561288
22251278
35001260

prune303.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (fabs x) (sqrt (fabs x))) (* (fabs x) (sqrt (fabs x))))
0.2b
(* (fabs x) (sqrt (fabs x)))
0.2b
(* (fabs x) (sqrt (fabs x)))
1.0b
(sqrt PI)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
78×pow1
29×pow-prod-up
28×add-sqr-sqrt
22×pow-prod-down
20×add-exp-log add-cbrt-cube
13×associate-*r*
11×add-cube-cbrt *-un-lft-identity sqrt-pow1 pow1/2 sqrt-prod
10×prod-exp cbrt-unprod
8×pow3
7×associate-*l* pow-sqr
4×add-log-exp unswap-sqr
3×*-commutative
2×pow-plus
1×pow2 rem-sqrt-square swap-sqr
Counts
4 → 108
Calls
4 calls:
17.0ms
(* (* (fabs x) (sqrt (fabs x))) (* (fabs x) (sqrt (fabs x))))
4.0ms
(* (fabs x) (sqrt (fabs x)))
4.0ms
(* (fabs x) (sqrt (fabs x)))
4.0ms
(sqrt PI)

series105.0ms

Counts
4 → 10
Calls
4 calls:
27.0ms
(* (* (fabs x) (sqrt (fabs x))) (* (fabs x) (sqrt (fabs x))))
41.0ms
(* (fabs x) (sqrt (fabs x)))
37.0ms
(* (fabs x) (sqrt (fabs x)))
0.0ms
(sqrt PI)

simplify155.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 3 (148.0ms)

IterNodesCost
0187485
1656356
23526318
35001298

prune399.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize34.0ms

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) (* (* (* (* (pow (pow (fabs x) 3) 1) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
0.1b
(* (* (fabs x) (fabs x)) (fabs x))
0.1b
(* (* (fabs x) (fabs x)) (fabs x))
1.0b
(sqrt PI)

rewrite250.0ms

Algorithm
rewrite-expression-head
Rules
45×pow1
32×add-sqr-sqrt
24×associate-*l*
21×add-cube-cbrt *-un-lft-identity
20×times-frac
19×add-exp-log add-cbrt-cube
13×associate-*l/ sqrt-prod
12×pow-plus frac-add pow-prod-up
9×associate-*r*
8×prod-exp cbrt-unprod
7×pow-prod-down
6×frac-times flip3-+ associate-*r/ flip-+
5×unswap-sqr
4×pow2 pow-sqr add-log-exp
3×*-commutative
2×pow3
1×cbrt-undiv distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 div-exp div-inv
Counts
4 → 125
Calls
4 calls:
230.0ms
(* (/ 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) (* (* (* (* (pow (pow (fabs x) 3) 1) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
7.0ms
(* (* (fabs x) (fabs x)) (fabs x))
7.0ms
(* (* (fabs x) (fabs x)) (fabs x))
1.0ms
(sqrt PI)

series381.0ms

Counts
4 → 10
Calls
4 calls:
325.0ms
(* (/ 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) (* (* (* (* (pow (pow (fabs x) 3) 1) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
30.0ms
(* (* (fabs x) (fabs x)) (fabs x))
26.0ms
(* (* (fabs x) (fabs x)) (fabs x))
0.0ms
(sqrt PI)

simplify142.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (110.0ms)

IterNodesCost
08233644
145023048
250013012

prune557.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize19.0ms

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))

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
(* 0.2 (pow (fabs x) 5))
5.0ms
(* 0.047619047619047616 (pow (fabs x) 7))
87.0ms
(* (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))))))
10.0ms
(* 0.6666666666666666 (pow (fabs x) 3))

series464.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* 0.2 (pow (fabs x) 5))
70.0ms
(* 0.047619047619047616 (pow (fabs x) 7))
287.0ms
(* (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))))))
43.0ms
(* 0.6666666666666666 (pow (fabs x) 3))

simplify82.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
05931430
127951324
250021320

prune492.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes75.0ms

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
970.0ms13918×body80valid