Details

Time bar (total: 3.1s)

sample36.0ms

Algorithm
intervals
Results
14.0ms296×body80valid
2.0ms10×body640valid
1.0ms6×body320valid
1.0ms7×body160valid
1.0ms2×body1280valid

simplify86.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0216
1515
21725
34815
412415
531025
650015

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.0b
(* 6.0 (- (/ 2.0 3.0) z))
0.1b
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
126×add-sqr-sqrt
118×*-un-lft-identity
117×prod-diff
114×add-cube-cbrt
92×times-frac
41×distribute-rgt-in distribute-lft-in
13×fma-neg
10×div-inv
6×associate-*r*
5×pow1 add-exp-log add-cbrt-cube add-log-exp
4×difference-of-squares
3×expm1-log1p-u sub-neg associate-*l* log1p-expm1-u
2×flip3-- associate-*r/ flip-- distribute-lft-out--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
3 → 186
Calls
3 calls:
13.0ms
(- (/ 2.0 3.0) z)
14.0ms
(* 6.0 (- (/ 2.0 3.0) z))
1.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

series116.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(- (/ 2.0 3.0) z)
43.0ms
(* 6.0 (- (/ 2.0 3.0) z))
54.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify61.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04482251
115581519
250021387

prune229.0ms

Filtered
195 candidates to 79 candidates (59.5%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1905195
Fresh011
Picked101
Done000
Total1916197

Merged error: 0.1b

Counts
197 → 6

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 6.0 (/ 2.0 3.0)) (* 6.0 (- z)))
0.1b
(fma (- y x) (+ (* 6.0 (/ 2.0 3.0)) (* 6.0 (- z))) x)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
23×fma-def *-un-lft-identity
18×add-sqr-sqrt
17×associate-*r*
13×add-cube-cbrt
11×associate-*l*
10×times-frac
9×distribute-lft-out
4×add-log-exp
3×*-commutative
2×pow1 add-exp-log expm1-log1p-u distribute-rgt-neg-out add-cbrt-cube log1p-expm1-u unswap-sqr
1×+-commutative distribute-rgt-out distribute-rgt-neg-in flip3-+ unsub-neg sum-log flip-+ fma-udef div-inv
Counts
2 → 58
Calls
2 calls:
31.0ms
(+ (* 6.0 (/ 2.0 3.0)) (* 6.0 (- z)))
1.0ms
(fma (- y x) (+ (* 6.0 (/ 2.0 3.0)) (* 6.0 (- z))) x)

series98.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(+ (* 6.0 (/ 2.0 3.0)) (* 6.0 (- z)))
58.0ms
(fma (- y x) (+ (* 6.0 (/ 2.0 3.0)) (* 6.0 (- z))) x)

simplify83.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (78.0ms)

IterNodesCost
0189271
1666227
23026219
35002218

prune134.0ms

Filtered
64 candidates to 53 candidates (17.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New63164
Fresh145
Picked011
Done000
Total64670

Merged error: 0.1b

Counts
70 → 6

localize9.0ms

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)))
0.1b
(* (- y x) 6.0)
0.3b
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
211×add-sqr-sqrt
205×*-un-lft-identity
195×prod-diff
188×add-cube-cbrt
146×times-frac
82×distribute-rgt-in associate-+r+ distribute-lft-in
29×associate-*l*
16×div-inv
13×fma-neg
12×associate-*r*
11×pow1 add-exp-log add-cbrt-cube
10×associate-*l/
8×flip3-- flip-- add-log-exp
6×difference-of-squares
5×sub-neg distribute-lft-out-- unswap-sqr
4×expm1-log1p-u frac-times pow-prod-down prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out
3×fma-def *-commutative
2×associate-*r/
1×+-commutative flip3-+ diff-log sum-log flip-+
Counts
4 → 323
Calls
4 calls:
11.0ms
(- (/ 2.0 3.0) z)
27.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
6.0ms
(* (- y x) 6.0)
22.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series168.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(- (/ 2.0 3.0) z)
66.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
36.0ms
(* (- y x) 6.0)
46.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify119.0ms

Algorithm
egg-herbie
Counts
335 → 335
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010344059
144273057
250013057

prune581.0ms

Filtered
335 candidates to 191 candidates (43.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New3305335
Fresh224
Picked101
Done011
Total3338341

Merged error: 0.0b

Counts
341 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 2.0 (/ 1 3.0) (- (* z 1)))
0.1b
(* (- y x) 6.0)
0.2b
(fma (* (fma 2.0 (/ 1 3.0) (- (* z 1))) (- y x)) 6.0 x)
0.2b
(* (fma 2.0 (/ 1 3.0) (- (* z 1))) (- y x))

rewrite18.0ms

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:
1.0ms
(fma 2.0 (/ 1 3.0) (- (* z 1)))
6.0ms
(* (- y x) 6.0)
1.0ms
(fma (* (fma 2.0 (/ 1 3.0) (- (* z 1))) (- y x)) 6.0 x)
7.0ms
(* (fma 2.0 (/ 1 3.0) (- (* z 1))) (- y x))

series174.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(fma 2.0 (/ 1 3.0) (- (* z 1)))
31.0ms
(* (- y x) 6.0)
59.0ms
(fma (* (fma 2.0 (/ 1 3.0) (- (* z 1))) (- y x)) 6.0 x)
44.0ms
(* (fma 2.0 (/ 1 3.0) (- (* z 1))) (- y x))

simplify46.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0337933
11376717
25001698

prune239.0ms

Filtered
102 candidates to 69 candidates (32.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1011102
Fresh156
Picked101
Done011
Total1037110

Merged error: 0.0b

Counts
110 → 7

regimes128.0ms

Accuracy

0% (0.2b 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
0187
1227
2237
3237

end0.0ms

sample587.0ms

Algorithm
intervals
Results
296.0ms9456×body80valid
28.0ms256×body640valid
21.0ms152×body1280valid
17.0ms196×body320valid
7.0ms121×body160valid