Details

Time bar (total: 4.6s)

sample22.0ms

Algorithm
intervals
Results
10.0ms306×body80valid
1.0ms6×body640valid
0.0ms3×body1280valid
0.0ms4×body160valid
0.0ms3×body320valid

simplify74.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0216
1515
21725
34815
412415
531025
650015

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.0b
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.0b
(* (- y x) 6.0)
0.3b
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
199×add-sqr-sqrt
195×prod-diff
191×*-un-lft-identity
185×add-cube-cbrt
146×times-frac
82×distribute-rgt-in associate-+r+ distribute-lft-in
16×div-inv
13×fma-neg
11×pow1 add-exp-log add-cbrt-cube
10×associate-*l/
9×associate-*r*
8×flip3-- flip-- add-log-exp
6×associate-*l*
5×sub-neg difference-of-squares
4×expm1-log1p-u frac-times pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
3×fma-def distribute-lft-out--
2×associate-*r/ *-commutative
1×+-commutative flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 304
Calls
4 calls:
15.0ms
(- (/ 2.0 3.0) z)
21.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
11.0ms
(* (- y x) 6.0)
46.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series165.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(- (/ 2.0 3.0) z)
65.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
31.0ms
(* (- y x) 6.0)
49.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify108.0ms

Algorithm
egg-herbie
Counts
316 → 316
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
010163937
143622939
250012939

prune679.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 2.0 (/ 1 3.0) (- (* z 1)))
0.0b
(* (- y x) 6.0)
0.2b
(* (fma 2.0 (/ 1 3.0) (- (* z 1))) (- y x))
0.3b
(fma (* (fma 2.0 (/ 1 3.0) (- (* z 1))) (- y x)) 6.0 x)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×*-un-lft-identity
20×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
8×pow1 add-exp-log associate-*r* associate-*l* add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×sub-neg flip3-- associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative flip-- cbrt-unprod fma-udef distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 90
Calls
4 calls:
0.0ms
(fma 2.0 (/ 1 3.0) (- (* z 1)))
10.0ms
(* (- y x) 6.0)
13.0ms
(* (fma 2.0 (/ 1 3.0) (- (* z 1))) (- y x))
0.0ms
(fma (* (fma 2.0 (/ 1 3.0) (- (* z 1))) (- y x)) 6.0 x)

series343.0ms

Counts
4 → 12
Calls
4 calls:
221.0ms
(fma 2.0 (/ 1 3.0) (- (* z 1)))
28.0ms
(* (- y x) 6.0)
37.0ms
(* (fma 2.0 (/ 1 3.0) (- (* z 1))) (- y x))
56.0ms
(fma (* (fma 2.0 (/ 1 3.0) (- (* z 1))) (- y x)) 6.0 x)

simplify50.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0339933
11392717
25001710

prune312.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.0b
(* 6.0 (- (/ 2.0 3.0) z))
0.0b
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
0.4b
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

rewrite211.0ms

Algorithm
rewrite-expression-head
Rules
429×prod-diff
403×add-sqr-sqrt
395×*-un-lft-identity
389×add-cube-cbrt
369×distribute-rgt-in distribute-lft-in
308×times-frac
164×associate-+r+
34×div-inv
13×fma-neg
11×pow1 add-exp-log sub-neg add-cbrt-cube
10×associate-*r/
8×flip3-- associate-*l* flip-- add-log-exp
7×associate-*r*
5×difference-of-squares
4×expm1-log1p-u frac-times pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
3×fma-def distribute-lft-out--
2×associate-*l/ *-commutative
1×+-commutative flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 550
Calls
4 calls:
15.0ms
(- (/ 2.0 3.0) z)
42.0ms
(* 6.0 (- (/ 2.0 3.0) z))
42.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
62.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series162.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(- (/ 2.0 3.0) z)
37.0ms
(* 6.0 (- (/ 2.0 3.0) z))
62.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
42.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify142.0ms

Algorithm
egg-herbie
Counts
562 → 562
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
014258053
146415779
250015767

prune1.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (- 4.0 (* 6.0 z))))
0.4b
(* (- y x) (- 4.0 (* 6.0 z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×prod-diff
11×*-un-lft-identity
10×distribute-rgt-in associate-+r+ distribute-lft-in
9×add-cube-cbrt
6×flip3-- flip--
5×associate-*l*
4×pow1 add-exp-log frac-times sub-neg add-cbrt-cube add-log-exp
3×fma-def associate-*r*
2×expm1-log1p-u associate-*r/ associate-*l/ log1p-expm1-u
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 66
Calls
2 calls:
5.0ms
(+ x (* (- y x) (- 4.0 (* 6.0 z))))
16.0ms
(* (- y x) (- 4.0 (* 6.0 z)))

series110.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(+ x (* (- y x) (- 4.0 (* 6.0 z))))
48.0ms
(* (- y x) (- 4.0 (* 6.0 z)))

simplify44.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0363518
11504463
25001459

prune144.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes160.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01911
11911

end0.0ms

sample591.0ms

Algorithm
intervals
Results
308.0ms9467×body80valid
28.0ms243×body640valid
21.0ms147×body1280valid
18.0ms204×body320valid
6.0ms102×body160valid