Details

Time bar (total: 6.3s)

sample51.0ms

Algorithm
intervals
Results
35.0ms463×body80valid

simplify115.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07042
125242
2105942
3471342
4500142

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

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)

rewrite717.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 163
Calls
4 calls:
332.0ms
(* (/ 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)))))
338.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
31.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series455.0ms

Counts
4 → 10
Calls
4 calls:
337.0ms
(* (/ 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)))))
62.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
55.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify59.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
012244595
150013688

prune688.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (pow (fabs x) 3) (/ 2.0 3.0))
1.0b
(* (/ 1.0 (sqrt PI)) (/ 1.0 21.0))
1.0b
(sqrt PI)
1.0b
(sqrt PI)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
47×times-frac
36×add-cube-cbrt *-un-lft-identity
34×associate-*l*
29×add-exp-log
26×associate-*r*
21×add-cbrt-cube
17×sqrt-prod
14×unswap-sqr
10×prod-exp
8×pow1
7×div-exp
6×cbrt-unprod
5×cbrt-undiv unpow-prod-down cube-prod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×div-inv sqr-pow
2×pow-to-exp rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ pow-exp *-commutative
1×cube-mult frac-times unpow3 pow-prod-down associate-*l/
Counts
4 → 145
Calls
4 calls:
12.0ms
(* (pow (fabs x) 3) (/ 2.0 3.0))
17.0ms
(* (/ 1.0 (sqrt PI)) (/ 1.0 21.0))
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)

series49.0ms

Counts
4 → 6
Calls
4 calls:
49.0ms
(* (pow (fabs x) 3) (/ 2.0 3.0))
0.0ms
(* (/ 1.0 (sqrt PI)) (/ 1.0 21.0))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify78.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
0609911
12813849
25002846

prune651.0ms

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
(* (/ 1.0 5.0) (pow (fabs x) 3))
0.2b
(* (pow (fabs x) 3) (/ 2.0 3.0))
1.0b
(sqrt PI)
1.0b
(sqrt PI)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt
30×add-exp-log
26×add-cube-cbrt *-un-lft-identity times-frac
25×associate-*r* associate-*l*
16×unswap-sqr
14×add-cbrt-cube
12×prod-exp
10×unpow-prod-down cube-prod
6×pow1 div-exp sqrt-prod sqr-pow
4×expm1-log1p-u pow-to-exp pow-exp cbrt-unprod log1p-expm1-u add-log-exp
2×cbrt-undiv cube-mult rem-sqrt-square sqrt-pow1 pow1/2 unpow3 *-commutative div-inv
1×associate-*r/ associate-*l/
Counts
4 → 134
Calls
4 calls:
14.0ms
(* (/ 1.0 5.0) (pow (fabs x) 3))
12.0ms
(* (pow (fabs x) 3) (/ 2.0 3.0))
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)

series90.0ms

Counts
4 → 8
Calls
4 calls:
46.0ms
(* (/ 1.0 5.0) (pow (fabs x) 3))
43.0ms
(* (pow (fabs x) 3) (/ 2.0 3.0))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify84.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0466747
12379702
25001702

prune592.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (pow (fabs x) 3) (* (fabs x) (fabs x)))
0.2b
(* (pow (fabs x) 3) (/ 2.0 3.0))
0.3b
(/ (+ (* 1.0 (fma (fabs x) 2.0 (* (pow (fabs x) 3) (/ 2.0 3.0)))) (* 1.0 (fma (* (* (/ 1.0 5.0) (pow (fabs x) 3)) (fabs x)) (fabs x) (* (* (* (pow (fabs x) 3) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (/ 1.0 21.0))))) (sqrt PI))
1.0b
(sqrt PI)

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt
37×times-frac
35×add-cube-cbrt *-un-lft-identity
32×add-exp-log
24×associate-*l*
18×sqrt-prod
16×add-cbrt-cube
15×prod-exp
14×associate-*r*
12×unswap-sqr
10×pow1
9×unpow-prod-down cube-prod
7×distribute-lft-out
6×associate-/r*
5×pow-prod-up cbrt-unprod sqr-pow
4×expm1-log1p-u pow-to-exp div-exp pow-exp log1p-expm1-u associate-/l* add-log-exp
2×cbrt-undiv cube-mult unpow3 *-commutative div-inv associate-/l/
1×pow2 rem-sqrt-square frac-2neg sqrt-pow1 flip3-+ pow-plus pow1/2 associate-*r/ clear-num pow-sqr flip-+
Counts
4 → 156
Calls
4 calls:
10.0ms
(* (pow (fabs x) 3) (* (fabs x) (fabs x)))
12.0ms
(* (pow (fabs x) 3) (/ 2.0 3.0))
9.0ms
(/ (+ (* 1.0 (fma (fabs x) 2.0 (* (pow (fabs x) 3) (/ 2.0 3.0)))) (* 1.0 (fma (* (* (/ 1.0 5.0) (pow (fabs x) 3)) (fabs x)) (fabs x) (* (* (* (pow (fabs x) 3) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (/ 1.0 21.0))))) (sqrt PI))
1.0ms
(sqrt PI)

series401.0ms

Counts
4 → 10
Calls
4 calls:
39.0ms
(* (pow (fabs x) 3) (* (fabs x) (fabs x)))
48.0ms
(* (pow (fabs x) 3) (/ 2.0 3.0))
313.0ms
(/ (+ (* 1.0 (fma (fabs x) 2.0 (* (pow (fabs x) 3) (/ 2.0 3.0)))) (* 1.0 (fma (* (* (/ 1.0 5.0) (pow (fabs x) 3)) (fabs x)) (fabs x) (* (* (* (pow (fabs x) 3) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (/ 1.0 21.0))))) (sqrt PI))
0.0ms
(sqrt PI)

simplify107.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
06003041
126952710
250012636

prune627.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes222.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03628
13628

end0.0ms

sample1.1s

Algorithm
intervals
Results
981.0ms14197×body80valid