Details

Time bar (total: 9.0s)

sample46.0ms

Algorithm
intervals
Results
29.0ms430×body80valid

simplify111.0ms

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

localize28.0ms

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)

rewrite1.8s

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:
1.1s
(* (/ 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)))))
604.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
59.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series396.0ms

Counts
4 → 10
Calls
4 calls:
298.0ms
(* (/ 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)))))
58.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
41.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify65.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
012244595
150013688

prune722.0ms

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
(* (* (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)))) (* 0.2 (pow (fabs x) 5))) (* (/ 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)

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
36×associate-*l*
35×pow1 add-exp-log add-cbrt-cube
29×times-frac
27×add-cube-cbrt *-un-lft-identity
17×prod-exp cbrt-unprod
13×sqrt-prod
10×pow-prod-down
7×associate-*r*
6×pow-plus associate-*l/ pow-prod-up
4×cbrt-undiv expm1-log1p-u frac-times flip3-+ associate-*r/ div-exp frac-add flip-+ log1p-expm1-u add-log-exp unswap-sqr
3×*-commutative
2×pow2 pow-sqr div-inv
1×distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 pow3
Counts
4 → 139
Calls
4 calls:
17.0ms
(* (* (fabs x) (fabs x)) (fabs x))
979.0ms
(* (/ 1.0 (sqrt PI)) (+ (+ (+ (* 2.0 (fabs x)) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* 0.2 (pow (fabs x) 5))) (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
60.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series369.0ms

Counts
4 → 10
Calls
4 calls:
24.0ms
(* (* (fabs x) (fabs x)) (fabs x))
305.0ms
(* (/ 1.0 (sqrt PI)) (+ (+ (+ (* 2.0 (fabs x)) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* 0.2 (pow (fabs x) 5))) (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
40.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify122.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
08553002
144732324
250012227

prune634.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1.0 (sqrt PI)) (fma (pow (fabs x) 5) 0.2 (fma (fabs x) 2.0 (* (pow (fabs x) 3) (/ 2.0 3.0)))))
0.2b
(* (pow (fabs x) 3) (/ 2.0 3.0))
1.0b
(sqrt PI)
1.0b
(sqrt PI)

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
34×associate-*l*
33×times-frac
30×add-cube-cbrt *-un-lft-identity
22×add-exp-log
16×associate-*r* sqrt-prod
14×add-cbrt-cube
11×unswap-sqr
8×pow1 prod-exp
5×unpow-prod-down cube-prod
4×expm1-log1p-u div-exp cbrt-unprod log1p-expm1-u add-log-exp
3×sqr-pow
2×cbrt-undiv pow-to-exp rem-sqrt-square sqrt-pow1 pow1/2 pow-exp *-commutative fma-udef div-inv
1×distribute-rgt-in cube-mult distribute-lft-in unpow3 associate-*r/ pow-prod-down associate-*l/
Counts
4 → 128
Calls
4 calls:
23.0ms
(* (/ 1.0 (sqrt PI)) (fma (pow (fabs x) 5) 0.2 (fma (fabs x) 2.0 (* (pow (fabs x) 3) (/ 2.0 3.0)))))
19.0ms
(* (pow (fabs x) 3) (/ 2.0 3.0))
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)

series255.0ms

Counts
4 → 8
Calls
4 calls:
215.0ms
(* (/ 1.0 (sqrt PI)) (fma (pow (fabs x) 5) 0.2 (fma (fabs x) 2.0 (* (pow (fabs x) 3) (/ 2.0 3.0)))))
40.0ms
(* (pow (fabs x) 3) (/ 2.0 3.0))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify73.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
04841219
122201123
250031121

prune651.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 1.0 5.0) (pow (fabs x) 3))
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)

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
79×add-sqr-sqrt
50×times-frac
42×add-cube-cbrt *-un-lft-identity
32×add-exp-log
25×associate-*r* associate-*l*
18×sqrt-prod
16×add-cbrt-cube unswap-sqr
12×prod-exp
10×unpow-prod-down cube-prod
7×div-exp distribute-lft-out
6×associate-/r* sqr-pow
5×pow1
4×expm1-log1p-u pow-to-exp pow-exp cbrt-unprod log1p-expm1-u associate-/l* add-log-exp
3×cbrt-undiv div-inv
2×cube-mult unpow3 *-commutative associate-/l/
1×rem-sqrt-square frac-2neg sqrt-pow1 flip3-+ pow1/2 associate-*r/ associate-*l/ clear-num flip-+
Counts
4 → 169
Calls
4 calls:
21.0ms
(* (/ 1.0 5.0) (pow (fabs x) 3))
23.0ms
(* (pow (fabs x) 3) (/ 2.0 3.0))
25.0ms
(/ (+ (* 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)

series376.0ms

Counts
4 → 10
Calls
4 calls:
39.0ms
(* (/ 1.0 5.0) (pow (fabs x) 3))
38.0ms
(* (pow (fabs x) 3) (/ 2.0 3.0))
299.0ms
(/ (+ (* 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)

simplify137.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (105.0ms)

IterNodesCost
06953149
135672956
250012918

prune721.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes63.0ms

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
03423
13423

end0.0ms

sample1.2s

Algorithm
intervals
Results
938.0ms13963×body80valid