Details

Time bar (total: 7.6s)

sample35.0ms

Algorithm
intervals
Results
18.0ms311×body80valid
1.0ms5×body1280valid
1.0ms6×body640valid
1.0ms5×body320valid
0.0ms4×body160valid

simplify75.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0216
1515
21725
34815
412415
531025
650015

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.0b
(* 6.0 (- (/ 2.0 3.0) z))
0.2b
(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:
14.0ms
(- (/ 2.0 3.0) z)
38.0ms
(* 6.0 (- (/ 2.0 3.0) z))
0.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

series22.0ms

Counts
3 → 9
Calls
3 calls:
2.0ms
(- (/ 2.0 3.0) z)
3.0ms
(* 6.0 (- (/ 2.0 3.0) z))
17.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify60.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04532251
115921519
250021387

prune756.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

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)))
0.0b
(* (- y x) 6.0)
0.3b
(* (* (- 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)
20.0ms
(+ 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))

series36.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(- (/ 2.0 3.0) z)
19.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
5.0ms
(* (- y x) 6.0)
11.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify114.0ms

Algorithm
egg-herbie
Counts
316 → 316
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
010163937
143622939
250012939

prune2.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
133×add-sqr-sqrt
123×*-un-lft-identity
117×add-cube-cbrt prod-diff
92×times-frac
41×distribute-rgt-in distribute-lft-in
13×fma-neg
10×div-inv
9×associate-*r*
8×pow1 add-exp-log associate-*l* add-cbrt-cube
6×add-log-exp
5×difference-of-squares
4×expm1-log1p-u log1p-expm1-u
3×sub-neg flip3-- flip-- distribute-lft-out--
2×associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×diff-log fma-udef
Counts
4 → 210
Calls
4 calls:
14.0ms
(- (/ 2.0 3.0) z)
39.0ms
(* 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)

series23.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(- (/ 2.0 3.0) z)
3.0ms
(* 6.0 (- (/ 2.0 3.0) z))
5.0ms
(* (- y x) 6.0)
13.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify66.0ms

Algorithm
egg-herbie
Counts
222 → 222
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05422345
120341603
250021519

prune1.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- y x) 6.0)
0.2b
(* (fma (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)) (- (* z 1))) (- y x))
0.3b
(fma (* (fma (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)) (- (* z 1))) (- y x)) 6.0 x)
1.0b
(/ 2.0 (cbrt 3.0))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
39×*-un-lft-identity
35×add-cube-cbrt
18×times-frac prod-diff
12×cbrt-prod
11×distribute-rgt-in distribute-lft-in
10×add-exp-log
9×add-cbrt-cube
8×pow1 associate-*r* associate-*l*
6×associate-/r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/l*
2×sub-neg flip3-- associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
1×cbrt-undiv frac-2neg div-exp clear-num fma-udef div-inv
Counts
4 → 121
Calls
4 calls:
10.0ms
(* (- y x) 6.0)
12.0ms
(* (fma (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)) (- (* z 1))) (- y x))
0.0ms
(fma (* (fma (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)) (- (* z 1))) (- y x)) 6.0 x)
3.0ms
(/ 2.0 (cbrt 3.0))

series41.0ms

Counts
4 → 10
Calls
4 calls:
4.0ms
(* (- y x) 6.0)
16.0ms
(* (fma (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)) (- (* z 1))) (- y x))
20.0ms
(fma (* (fma (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)) (- (* z 1))) (- y x)) 6.0 x)
0.0ms
(/ 2.0 (cbrt 3.0))

simplify61.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04361534
116901336
250021323

prune1.4s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes440.0ms

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
02512
13312
23512
33512

end0.0ms

sample932.0ms

Algorithm
intervals
Results
571.0ms9477×body80valid
48.0ms216×body640valid
46.0ms162×body1280valid
36.0ms200×body320valid
13.0ms112×body160valid