Details

Time bar (total: 2.6s)

sample33.0ms

Algorithm
intervals
Results
13.0ms303×body80valid
1.0ms6×body1280valid
1.0ms6×body320valid
1.0ms5×body640valid
1.0ms7×body160valid

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0216
1515
21725
34815
412415
531025
650015

prune10.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

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)

rewrite64.0ms

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

series108.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(- (/ 2.0 3.0) z)
36.0ms
(* 6.0 (- (/ 2.0 3.0) z))
53.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify57.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
04532251
115921519
250021387

prune254.0ms

Filtered
195 candidates to 79 candidates (40.5%)
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)

rewrite3.0ms

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:
2.0ms
(- 4.0 (* 6.0 z))
0.0ms
(fma (- y x) (- 4.0 (* 6.0 z)) x)

series86.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(- 4.0 (* 6.0 z))
49.0ms
(fma (- y x) (- 4.0 (* 6.0 z)) x)

simplify132.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 3 (43.0ms)

IterNodesCost
0144177
1378156
21444155
34973139
45001139

prune91.0ms

Filtered
36 candidates to 27 candidates (75.0%)
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)))

rewrite28.0ms

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))
8.0ms
(+ (* (- y x) (- 4.0 (* 6.0 z))) x)
15.0ms
(* (- y x) (- 4.0 (* 6.0 z)))

series145.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(- 4.0 (* 6.0 z))
59.0ms
(+ (* (- y x) (- 4.0 (* 6.0 z))) x)
47.0ms
(* (- y x) (- 4.0 (* 6.0 z)))

simplify50.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0367599
11476555
25003553

prune214.0ms

Filtered
93 candidates to 68 candidates (73.1%)
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
(+ (* (- y x) (fma 1 4.0 (- (* z 6.0)))) (fma (fma (- z) 6.0 (* z 6.0)) (- y x) x))
0.1b
(* (- y x) (fma 1 4.0 (- (* z 6.0))))
39.3b
(fma (- z) 6.0 (* z 6.0))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×*-un-lft-identity
7×fma-udef
6×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u
3×associate-*r*
2×distribute-rgt-in associate-+l+ distribute-lft-in associate-*l/
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 → 63
Calls
4 calls:
0.0ms
(fma 1 4.0 (- (* z 6.0)))
6.0ms
(+ (* (- y x) (fma 1 4.0 (- (* z 6.0)))) (fma (fma (- z) 6.0 (* z 6.0)) (- y x) x))
12.0ms
(* (- y x) (fma 1 4.0 (- (* z 6.0))))
0.0ms
(fma (- z) 6.0 (* z 6.0))

series232.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(fma 1 4.0 (- (* z 6.0)))
93.0ms
(+ (* (- y x) (fma 1 4.0 (- (* z 6.0)))) (fma (fma (- z) 6.0 (* z 6.0)) (- y x) x))
52.0ms
(* (- y x) (fma 1 4.0 (- (* z 6.0))))
41.0ms
(fma (- z) 6.0 (* z 6.0))

simplify37.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0266572
11029504
25001499

prune217.0ms

Filtered
75 candidates to 62 candidates (82.7%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

regimes90.0ms

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

sample594.0ms

Algorithm
intervals
Results
293.0ms9372×body80valid
28.0ms261×body640valid
23.0ms167×body1280valid
17.0ms202×body320valid
7.0ms114×body160valid