Details

Time bar (total: 2.7s)

sample22.0ms

Algorithm
intervals
Results
9.0ms303×body80valid
1.0ms6×body1280valid
1.0ms5×body640valid
0.0ms6×body320valid
0.0ms7×body160valid

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

localize11.0ms

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)

rewrite63.0ms

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)
35.0ms
(* 6.0 (- (/ 2.0 3.0) z))
0.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

series110.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(- (/ 2.0 3.0) z)
40.0ms
(* 6.0 (- (/ 2.0 3.0) z))
50.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify59.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04532251
115921519
250021387

prune267.0ms

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
(- 4.0 (* 6.0 z))
0.1b
(fma (- y x) (- 4.0 (* 6.0 z)) x)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×fma-neg prod-diff
2×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
1×sub-neg flip3-- diff-log flip-- fma-udef
Counts
2 → 30
Calls
2 calls:
3.0ms
(- 4.0 (* 6.0 z))
0.0ms
(fma (- y x) (- 4.0 (* 6.0 z)) x)

series84.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(- 4.0 (* 6.0 z))
51.0ms
(fma (- y x) (- 4.0 (* 6.0 z)) x)

simplify128.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 3 (38.0ms)

IterNodesCost
0144177
1378156
21444155
34973139
45001139

prune88.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 4.0 (* 6.0 z))
0.0b
(+ (* (- y x) (- 4.0 (* 6.0 z))) x)
0.1b
(* (- y x) (- 4.0 (* 6.0 z)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt prod-diff
13×*-un-lft-identity
11×add-cube-cbrt
10×distribute-rgt-in associate-+l+ distribute-lft-in
7×flip3-- flip-- add-log-exp
5×pow1 add-exp-log sub-neg associate-*l* add-cbrt-cube
4×frac-times
3×expm1-log1p-u fma-neg associate-*r* log1p-expm1-u
2×associate-*r/ associate-*l/
1×+-commutative fma-def flip3-+ diff-log pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 84
Calls
3 calls:
2.0ms
(- 4.0 (* 6.0 z))
9.0ms
(+ (* (- y x) (- 4.0 (* 6.0 z))) x)
17.0ms
(* (- y x) (- 4.0 (* 6.0 z)))

series138.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(- 4.0 (* 6.0 z))
61.0ms
(+ (* (- y x) (- 4.0 (* 6.0 z))) x)
44.0ms
(* (- y x) (- 4.0 (* 6.0 z)))

simplify50.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0367599
11476555
25003553

prune215.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 1 4.0 (- (* z 6.0)))
0.0b
(+ (* (fma 1 4.0 (- (* z 6.0))) (- y x)) (fma (fma (- z) 6.0 (* z 6.0)) (- y x) x))
0.1b
(* (fma 1 4.0 (- (* z 6.0))) (- y x))
39.3b
(fma (- z) 6.0 (* z 6.0))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
36×prod-diff
34×add-sqr-sqrt
32×*-un-lft-identity
30×add-cube-cbrt
22×distribute-rgt-in associate-+l+ distribute-lft-in
6×pow1 add-exp-log add-cbrt-cube add-log-exp
5×associate-*r*
4×expm1-log1p-u sub-neg log1p-expm1-u
3×associate-*l* fma-udef
2×associate-*r/
1×+-commutative associate-+r+ flip3-- fma-def flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 103
Calls
4 calls:
0.0ms
(fma 1 4.0 (- (* z 6.0)))
8.0ms
(+ (* (fma 1 4.0 (- (* z 6.0))) (- y x)) (fma (fma (- z) 6.0 (* z 6.0)) (- y x) x))
11.0ms
(* (fma 1 4.0 (- (* z 6.0))) (- y x))
0.0ms
(fma (- z) 6.0 (* z 6.0))

series241.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(fma 1 4.0 (- (* z 6.0)))
107.0ms
(+ (* (fma 1 4.0 (- (* z 6.0))) (- y x)) (fma (fma (- z) 6.0 (* z 6.0)) (- y x) x))
44.0ms
(* (fma 1 4.0 (- (* z 6.0))) (- y x))
43.0ms
(fma (- z) 6.0 (* z 6.0))

simplify51.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
03621237
11315993
25001970

prune341.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

regimes95.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02010
12210
22210

end0.0ms

sample530.0ms

Algorithm
intervals
Results
264.0ms9372×body80valid
26.0ms261×body640valid
21.0ms167×body1280valid
15.0ms202×body320valid
6.0ms114×body160valid