Details

Time bar (total: 19.7s)

sample47.0ms

Algorithm
intervals
Results
29.0ms441×body80valid

simplify114.0ms

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

localize29.0ms

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)

rewrite10.1s

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:
645.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
9.4s
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
65.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms
(sqrt PI)

series155.0ms

Counts
4 → 10
Calls
4 calls:
51.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
65.0ms
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
39.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify99.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
09572149
140331345
250031165

prune543.0ms

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)))) (* (/ 1 (sqrt 21.0)) (* (* (/ 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)

rewrite1.3s

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:
557.0ms
(* (/ 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 (sqrt 21.0)) (* (* (/ 1.0 (sqrt 21.0)) (pow (fabs x) 6)) (fabs x)))))
639.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
64.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms
(sqrt PI)

series528.0ms

Counts
4 → 10
Calls
4 calls:
432.0ms
(* (/ 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 (sqrt 21.0)) (* (* (/ 1.0 (sqrt 21.0)) (pow (fabs x) 6)) (fabs x)))))
52.0ms
(* (/ 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)

simplify80.0ms

Algorithm
egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
014915886
150014942

prune1.0s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1.0 (sqrt PI)) (+ (+ (+ (* 2.0 (fabs x)) (* 0.6666666666666666 (pow (fabs x) 3))) (* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 (sqrt 21.0)) (* (* (/ 1.0 (sqrt 21.0)) (pow (fabs x) 6)) (fabs x)))))
0.1b
(* 0.6666666666666666 (pow (fabs x) 3))
0.1b
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
1.0b
(sqrt PI)

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
59×add-exp-log
56×add-cbrt-cube
54×associate-*l/
46×add-sqr-sqrt
38×associate-*l*
36×frac-add
35×prod-exp
33×cbrt-unprod
30×add-cube-cbrt *-un-lft-identity
29×times-frac
27×pow1
22×frac-times associate-*r/
16×associate-*r* pow-prod-down
14×flip3-+ flip-+
13×sqrt-prod
7×unswap-sqr
6×cbrt-undiv div-exp
4×expm1-log1p-u unpow-prod-down cube-prod log1p-expm1-u add-log-exp
3×*-commutative
2×div-inv sqr-pow
1×distribute-rgt-in cube-mult pow-to-exp rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 unpow3 pow-exp
Counts
4 → 172
Calls
4 calls:
567.0ms
(* (/ 1.0 (sqrt PI)) (+ (+ (+ (* 2.0 (fabs x)) (* 0.6666666666666666 (pow (fabs x) 3))) (* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 (sqrt 21.0)) (* (* (/ 1.0 (sqrt 21.0)) (pow (fabs x) 6)) (fabs x)))))
14.0ms
(* 0.6666666666666666 (pow (fabs x) 3))
648.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series520.0ms

Counts
4 → 10
Calls
4 calls:
425.0ms
(* (/ 1.0 (sqrt PI)) (+ (+ (+ (* 2.0 (fabs x)) (* 0.6666666666666666 (pow (fabs x) 3))) (* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 (sqrt 21.0)) (* (* (/ 1.0 (sqrt 21.0)) (pow (fabs x) 6)) (fabs x)))))
43.0ms
(* 0.6666666666666666 (pow (fabs x) 3))
53.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify73.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
014114895
150014225

prune955.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize28.0ms

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)

rewrite739.0ms

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))
645.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
65.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms
(sqrt PI)

series152.0ms

Counts
4 → 10
Calls
4 calls:
56.0ms
(* (/ 1.0 21.0) (pow (fabs x) 6))
52.0ms
(* (/ 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)

simplify89.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
07901281
13500995
25001945

prune606.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes87.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04634
14834
24834

end0.0ms

sample1.1s

Algorithm
intervals
Results
916.0ms13954×body80valid