Details

Time bar (total: 13.7s)

sample99.0ms

Algorithm
intervals
Results
74.0ms463×body80valid

simplify111.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
07042
125242
2105942
3471342
4500142

prune19.0ms

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)

rewrite682.0ms

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:
321.0ms
(* (/ 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)))))
324.0ms
(* (/ 1.0 5.0) (* (* (* (* (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)

series94.0ms

Counts
4 → 10
Calls
4 calls:
72.0ms
(* (/ 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)))))
13.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
9.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify58.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
012244595
150013688

prune2.7s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize25.0ms

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)

rewrite39.0ms

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))
20.0ms
(* (/ 1.0 (sqrt PI)) (/ 1.0 21.0))
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)

series9.0ms

Counts
4 → 6
Calls
4 calls:
9.0ms
(* (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 (68.0ms)

IterNodesCost
0609904
12813844
25001841

prune2.0s

Pruning

5 alts after pruning (3 fresh and 2 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
(sqrt PI)
1.0b
(sqrt PI)
1.0b
(sqrt PI)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
17×add-exp-log add-cube-cbrt *-un-lft-identity
13×times-frac associate-*r*
12×associate-*l*
9×sqrt-prod add-cbrt-cube
8×unswap-sqr
7×pow1
6×prod-exp
5×unpow-prod-down cube-prod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2 div-exp sqr-pow
2×pow-to-exp pow-exp cbrt-unprod
1×cbrt-undiv cube-mult unpow3 associate-*r/ *-commutative div-inv
Counts
4 → 97
Calls
4 calls:
14.0ms
(* (pow (fabs x) 3) (/ 2.0 3.0))
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)

series9.0ms

Counts
4 → 6
Calls
4 calls:
9.0ms
(* (pow (fabs x) 3) (/ 2.0 3.0))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify48.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0270452
11207431
25002428

prune1.5s

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)

rewrite37.0ms

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)

series89.0ms

Counts
4 → 10
Calls
4 calls:
10.0ms
(* (pow (fabs x) 3) (* (fabs x) (fabs x)))
9.0ms
(* (pow (fabs x) 3) (/ 2.0 3.0))
70.0ms
(/ (+ (* 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)

simplify105.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
06003041
126952710
250012636

prune2.1s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes1.4s

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
03933
13933

end0.0ms

sample2.4s

Algorithm
intervals
Results
2.2s14197×body80valid