Details

Time bar (total: 4.1s)

sample24.0ms

Algorithm
intervals
Results
8.0ms281×body80valid
1.0ms9×body640valid
1.0ms8×body320valid
1.0ms4×body1280valid
0.0ms6×body160valid

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0216
1515
21725
34815
412415
531025
650015

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

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)

rewrite65.0ms

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:
14.0ms
(- (/ 2.0 3.0) z)
40.0ms
(* 6.0 (- (/ 2.0 3.0) z))
0.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

series111.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(- (/ 2.0 3.0) z)
37.0ms
(* 6.0 (- (/ 2.0 3.0) z))
55.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify65.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04532251
115921519
250021387

prune275.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)) (- (* z 1)))
0.0b
(* 6.0 (fma (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)) (- (* z 1))))
0.1b
(fma (- y x) (+ (* 6.0 (fma (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)) (- (* z 1)))) (* 6.0 (fma (- z) 1 z))) x)
1.0b
(/ 2.0 (cbrt 3.0))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
18×times-frac
12×cbrt-prod
8×add-exp-log
7×add-cbrt-cube
6×pow1 associate-/r*
4×expm1-log1p-u fma-udef log1p-expm1-u add-log-exp
3×associate-*r* associate-*l* associate-/l*
1×cbrt-undiv distribute-rgt-in frac-2neg distribute-lft-in div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 83
Calls
4 calls:
0.0ms
(fma (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)) (- (* z 1)))
3.0ms
(* 6.0 (fma (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)) (- (* z 1))))
0.0ms
(fma (- y x) (+ (* 6.0 (fma (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)) (- (* z 1)))) (* 6.0 (fma (- z) 1 z))) x)
3.0ms
(/ 2.0 (cbrt 3.0))

series511.0ms

Counts
4 → 10
Calls
4 calls:
161.0ms
(fma (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)) (- (* z 1)))
186.0ms
(* 6.0 (fma (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)) (- (* z 1))))
163.0ms
(fma (- y x) (+ (* 6.0 (fma (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)) (- (* z 1)))) (* 6.0 (fma (- z) 1 z))) x)
0.0ms
(/ 2.0 (cbrt 3.0))

simplify99.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (89.0ms)

IterNodesCost
0263899
1919788
23615783
35002762

prune365.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

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)
0.6b
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite107.0ms

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:
14.0ms
(- (/ 2.0 3.0) z)
21.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
10.0ms
(* (- y x) 6.0)
43.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series159.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(- (/ 2.0 3.0) z)
64.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
28.0ms
(* (- y x) 6.0)
48.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify125.0ms

Algorithm
egg-herbie
Counts
316 → 316
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010163937
143622939
250012939

prune668.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
88×add-sqr-sqrt
81×*-un-lft-identity
78×prod-diff
77×add-cube-cbrt
55×times-frac
41×distribute-rgt-in distribute-lft-in
13×pow1 add-exp-log add-cbrt-cube
11×associate-*l*
10×associate-*r*
6×div-inv
5×pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u associate-*r/ associate-*l/ log1p-expm1-u add-log-exp
3×flip3-- *-commutative flip-- difference-of-squares
2×sub-neg distribute-lft-out-- unswap-sqr
1×fma-udef
Counts
4 → 163
Calls
4 calls:
40.0ms
(* 6.0 (- (/ 2.0 3.0) z))
10.0ms
(* (- y x) 6.0)
0.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)
13.0ms
(* (fma (- z) 1 (* z 1)) (* (- y x) 6.0))

series174.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* 6.0 (- (/ 2.0 3.0) z))
28.0ms
(* (- y x) 6.0)
56.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)
47.0ms
(* (fma (- z) 1 (* z 1)) (* (- y x) 6.0))

simplify76.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05791854
124001329
250021278

prune339.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes163.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02512
13312
23512
33512

end0.0ms

sample567.0ms

Algorithm
intervals
Results
289.0ms9457×body80valid
28.0ms256×body640valid
20.0ms151×body1280valid
15.0ms186×body320valid
7.0ms134×body160valid