Details

Time bar (total: 18.8s)

sample46.0ms

Algorithm
intervals
Results
29.0ms441×body80valid

simplify113.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
07042
125242
2105942
3471342
4500142

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize28.0ms

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 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)

rewrite9.9s

Algorithm
rewrite-expression-head
Rules
147×add-exp-log add-cbrt-cube
98×prod-exp cbrt-unprod
69×pow1
49×pow-prod-down
39×associate-*l*
27×add-sqr-sqrt times-frac
26×add-cube-cbrt *-un-lft-identity
15×cbrt-undiv div-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*r* associate-*l/ sqrt-prod *-commutative div-inv
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 165
Calls
4 calls:
626.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
9.2s
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
62.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series179.0ms

Counts
4 → 10
Calls
4 calls:
57.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
74.0ms
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
48.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify97.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
09572149
140331345
250031165

prune571.0ms

Pruning

5 alts after pruning (5 fresh and 0 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)))) (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 21.0)) (* (* (/ (cbrt 1.0) (sqrt 21.0)) (pow (fabs x) 6)) (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)

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
75×add-exp-log add-cbrt-cube
55×associate-*l/
48×associate-*l*
44×prod-exp cbrt-unprod
42×add-sqr-sqrt
38×times-frac
36×pow1 frac-add
33×add-cube-cbrt *-un-lft-identity
22×frac-times associate-*r/ pow-prod-down
14×flip3-+ flip-+
13×sqrt-prod
9×cbrt-undiv div-exp
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 → 179
Calls
4 calls:
520.0ms
(* (/ 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)))) (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 21.0)) (* (* (/ (cbrt 1.0) (sqrt 21.0)) (pow (fabs x) 6)) (fabs x)))))
628.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
61.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series634.0ms

Counts
4 → 10
Calls
4 calls:
527.0ms
(* (/ 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)))) (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 21.0)) (* (* (/ (cbrt 1.0) (sqrt 21.0)) (pow (fabs x) 6)) (fabs x)))))
57.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
49.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify73.0ms

Algorithm
egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
014946265
150015288

prune1.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1.0 (sqrt PI)) (fma (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 21.0)) (* (/ (cbrt 1.0) (sqrt 21.0)) (pow (fabs x) 6))) (fabs x) (fma (* (* (/ 1.0 5.0) (pow (fabs x) 3)) (fabs x)) (fabs x) (fma (fabs x) 2.0 (* (pow (fabs x) 3) (/ 2.0 3.0))))))
0.2b
(* (pow (fabs x) 3) (/ 2.0 3.0))
0.2b
(* (/ 1.0 5.0) (pow (fabs x) 3))
1.0b
(sqrt PI)

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
84×add-sqr-sqrt
47×associate-*l*
46×times-frac
39×add-cube-cbrt *-un-lft-identity
35×add-exp-log
28×associate-*r*
19×add-cbrt-cube unswap-sqr
14×prod-exp
13×sqrt-prod
10×unpow-prod-down cube-prod
7×pow1 div-exp
6×cbrt-unprod sqr-pow
4×expm1-log1p-u pow-to-exp pow-exp log1p-expm1-u add-log-exp
3×cbrt-undiv *-commutative div-inv
2×cube-mult unpow3 associate-*l/ fma-udef
1×distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 associate-*r/ pow-prod-down
Counts
4 → 165
Calls
4 calls:
20.0ms
(* (/ 1.0 (sqrt PI)) (fma (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 21.0)) (* (/ (cbrt 1.0) (sqrt 21.0)) (pow (fabs x) 6))) (fabs x) (fma (* (* (/ 1.0 5.0) (pow (fabs x) 3)) (fabs x)) (fabs x) (fma (fabs x) 2.0 (* (pow (fabs x) 3) (/ 2.0 3.0))))))
21.0ms
(* (pow (fabs x) 3) (/ 2.0 3.0))
25.0ms
(* (/ 1.0 5.0) (pow (fabs x) 3))
1.0ms
(sqrt PI)

series631.0ms

Counts
4 → 10
Calls
4 calls:
540.0ms
(* (/ 1.0 (sqrt PI)) (fma (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 21.0)) (* (/ (cbrt 1.0) (sqrt 21.0)) (pow (fabs x) 6))) (fabs x) (fma (* (* (/ 1.0 5.0) (pow (fabs x) 3)) (fabs x)) (fabs x) (fma (fabs x) 2.0 (* (pow (fabs x) 3) (/ 2.0 3.0))))))
43.0ms
(* (pow (fabs x) 3) (/ 2.0 3.0))
48.0ms
(* (/ 1.0 5.0) (pow (fabs x) 3))
0.0ms
(sqrt PI)

simplify127.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
07092566
136632336
250012336

prune963.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1.0 21.0) (pow (fabs x) 6))
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
83×add-exp-log
75×add-cbrt-cube
48×prod-exp
44×cbrt-unprod
42×add-sqr-sqrt
39×associate-*l*
34×pow1
30×times-frac
28×add-cube-cbrt *-un-lft-identity
21×pow-prod-down
11×div-exp
9×cbrt-undiv associate-*r*
6×unswap-sqr
5×unpow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*l/ sqrt-prod *-commutative div-inv sqr-pow
2×pow-to-exp pow-exp
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 150
Calls
4 calls:
21.0ms
(* (/ 1.0 21.0) (pow (fabs x) 6))
627.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
61.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series162.0ms

Counts
4 → 10
Calls
4 calls:
56.0ms
(* (/ 1.0 21.0) (pow (fabs x) 6))
62.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
44.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify81.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
07871340
131961010
25001949

prune790.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes92.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04233
14433
24433

end0.0ms

sample1.1s

Algorithm
intervals
Results
914.0ms13954×body80valid