Details

Time bar (total: 3.2s)

sample23.0ms

Algorithm
intervals
Results
8.0ms299×body80valid
1.0ms11×body640valid
0.0ms3×body1280valid
0.0ms4×body320valid
0.0ms5×body160valid

simplify79.0ms

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

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
79×add-sqr-sqrt
78×prod-diff
74×*-un-lft-identity
72×add-cube-cbrt
55×times-frac
41×distribute-rgt-in distribute-lft-in
6×associate-*r* div-inv
4×pow1 add-exp-log add-cbrt-cube
3×associate-*l*
2×expm1-log1p-u sub-neg associate-*r/ log1p-expm1-u add-log-exp difference-of-squares
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod fma-udef distribute-lft-out-- unswap-sqr
Counts
2 → 117
Calls
2 calls:
60.0ms
(* 6.0 (- (/ 2.0 3.0) z))
0.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

series84.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* 6.0 (- (/ 2.0 3.0) z))
51.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify53.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04261569
115031100
250021004

prune143.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

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)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
4×add-log-exp
2×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity distribute-rgt-neg-out add-cbrt-cube log1p-expm1-u
1×+-commutative fma-def flip3-+ unsub-neg sum-log flip-+ fma-udef distribute-lft-out
Counts
2 → 27
Calls
2 calls:
12.0ms
(+ (* 6.0 (/ 2.0 3.0)) (* 6.0 (- z)))
0.0ms
(fma (- y x) (+ (* 6.0 (/ 2.0 3.0)) (* 6.0 (- z))) x)

series81.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ (* 6.0 (/ 2.0 3.0)) (* 6.0 (- z)))
49.0ms
(fma (- y x) (+ (* 6.0 (/ 2.0 3.0)) (* 6.0 (- z))) x)

simplify89.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0170239
1670201
23293193
35001192

prune93.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
156×prod-diff
151×add-sqr-sqrt
146×*-un-lft-identity
142×add-cube-cbrt
109×times-frac
82×distribute-rgt-in associate-+l+ distribute-lft-in
12×div-inv
10×pow1 add-exp-log associate-*l/ add-cbrt-cube
9×associate-*r*
7×flip3-- flip--
6×associate-*l*
5×add-log-exp
4×frac-times sub-neg pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u log1p-expm1-u difference-of-squares
2×associate-*r/ *-commutative distribute-lft-out--
1×+-commutative fma-def flip3-+ sum-log flip-+ unswap-sqr
Counts
3 → 233
Calls
3 calls:
22.0ms
(* (- y x) 6.0)
62.0ms
(+ (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)) x)
81.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series124.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(* (- y x) 6.0)
52.0ms
(+ (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)) x)
43.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify103.0ms

Algorithm
egg-herbie
Counts
242 → 242
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
08672881
140712105
250012105

prune536.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* 6.0 6.0) (- (* (/ 2.0 3.0) (/ 2.0 3.0)) (* z z)))
0.1b
(fma (- y x) (/ (* (* 6.0 6.0) (- (* (/ 2.0 3.0) (/ 2.0 3.0)) (* z z))) (fma 6.0 (/ 2.0 3.0) (* 6.0 z))) x)
0.3b
(fma 6.0 (/ 2.0 3.0) (* 6.0 z))
7.1b
(/ (* (* 6.0 6.0) (- (* (/ 2.0 3.0) (/ 2.0 3.0)) (* z z))) (fma 6.0 (/ 2.0 3.0) (* 6.0 z)))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log add-cbrt-cube
9×pow1
8×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×prod-exp cbrt-unprod
4×expm1-log1p-u associate-*r/ associate-*r* log1p-expm1-u add-log-exp
3×cbrt-undiv distribute-rgt-in distribute-lft-in times-frac div-exp pow-prod-down associate-/r*
2×sub-neg flip3-- prod-diff flip-- fma-udef associate-/l/
1×frac-2neg associate-*l* clear-num *-commutative div-inv associate-/l* difference-of-squares unswap-sqr
Counts
4 → 77
Calls
4 calls:
64.0ms
(* (* 6.0 6.0) (- (* (/ 2.0 3.0) (/ 2.0 3.0)) (* z z)))
0.0ms
(fma (- y x) (/ (* (* 6.0 6.0) (- (* (/ 2.0 3.0) (/ 2.0 3.0)) (* z z))) (fma 6.0 (/ 2.0 3.0) (* 6.0 z))) x)
0.0ms
(fma 6.0 (/ 2.0 3.0) (* 6.0 z))
43.0ms
(/ (* (* 6.0 6.0) (- (* (/ 2.0 3.0) (/ 2.0 3.0)) (* z z))) (fma 6.0 (/ 2.0 3.0) (* 6.0 z)))

series333.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* (* 6.0 6.0) (- (* (/ 2.0 3.0) (/ 2.0 3.0)) (* z z)))
124.0ms
(fma (- y x) (/ (* (* 6.0 6.0) (- (* (/ 2.0 3.0) (/ 2.0 3.0)) (* z z))) (fma 6.0 (/ 2.0 3.0) (* 6.0 z))) x)
37.0ms
(fma 6.0 (/ 2.0 3.0) (* 6.0 z))
111.0ms
(/ (* (* 6.0 6.0) (- (* (/ 2.0 3.0) (/ 2.0 3.0)) (* z z))) (fma 6.0 (/ 2.0 3.0) (* 6.0 z)))

simplify58.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0420998
12129827
25001824

prune221.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes167.0ms

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

sample605.0ms

Algorithm
intervals
Results
260.0ms9521×body80valid
28.0ms273×body640valid
14.0ms124×body1280valid
13.0ms182×body320valid
5.0ms111×body160valid