Details

Time bar (total: 6.4s)

sample28.0ms

Algorithm
intervals
Results
11.0ms362×body80valid

simplify43.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0247
1547
2927
31427
41927
52387
62557
72867
83307
94277
104557
115187
125957
138037
148077
158077

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
0.2b
(* (* z 3.0) y)
0.5b
(/ y (* z 3.0))
7.1b
(/ t (* (* z 3.0) y))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
25×add-sqr-sqrt
23×add-exp-log add-cube-cbrt associate-+l+ add-cbrt-cube
21×prod-diff
15×times-frac
pow1 add-log-exp
prod-exp cbrt-unprod
associate-/l*
cbrt-undiv fma-def div-exp div-inv
expm1-log1p-u log1p-expm1-u
associate-*r* pow-prod-down
frac-2neg frac-add clear-num associate-/r* sum-log distribute-lft-out distribute-lft-out--
+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log associate-*l* *-commutative flip-- flip-+ difference-of-squares
Counts
4 → 115
Calls
4 calls:
82.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
16.0ms
(* (* z 3.0) y)
7.0ms
(/ y (* z 3.0))
20.0ms
(/ t (* (* z 3.0) y))

series129.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
17.0ms
(* (* z 3.0) y)
16.0ms
(/ y (* z 3.0))
28.0ms
(/ t (* (* z 3.0) y))

simplify67.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0500905
12477746
25001698

prune317.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
0.2b
(/ t (* z 3.0))
0.5b
(/ y (* z 3.0))
5.5b
(/ (/ t (* z 3.0)) y)

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
48×times-frac
45×*-un-lft-identity
40×add-sqr-sqrt
38×add-cube-cbrt
23×add-exp-log associate-+l+ add-cbrt-cube
21×prod-diff
13×associate-/l*
10×div-inv
cbrt-undiv div-exp add-log-exp
fma-def associate-/r*
pow1 expm1-log1p-u log1p-expm1-u
frac-2neg prod-exp clear-num cbrt-unprod
frac-add sum-log distribute-lft-out distribute-lft-out--
+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log flip-- flip-+ associate-/l/ difference-of-squares
Counts
4 → 143
Calls
4 calls:
86.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
7.0ms
(/ t (* z 3.0))
7.0ms
(/ y (* z 3.0))
17.0ms
(/ (/ t (* z 3.0)) y)

series130.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
16.0ms
(/ t (* z 3.0))
16.0ms
(/ y (* z 3.0))
29.0ms
(/ (/ t (* z 3.0)) y)

simplify67.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05771093
12337935
25001887

prune393.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
0.2b
(/ (/ y z) 3.0)
0.2b
(/ t (* z 3.0))
5.5b
(/ (/ t (* z 3.0)) y)

rewrite237.0ms

Algorithm
rewrite-expression-head
Rules
312×times-frac
222×add-sqr-sqrt
220×*-un-lft-identity
213×add-cube-cbrt
131×associate-+l+
129×prod-diff
23×add-exp-log add-cbrt-cube div-inv associate-/l*
10×cbrt-undiv div-exp
add-log-exp
fma-def associate-/r*
pow1 expm1-log1p-u log1p-expm1-u
frac-2neg clear-num difference-of-squares
frac-add prod-exp sum-log cbrt-unprod associate-/l/ distribute-lft-out distribute-lft-out--
+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log flip-- flip-+
Counts
4 → 302
Calls
4 calls:
187.0ms
(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
10.0ms
(/ (/ y z) 3.0)
7.0ms
(/ t (* z 3.0))
14.0ms
(/ (/ t (* z 3.0)) y)

series132.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
23.0ms
(/ (/ y z) 3.0)
17.0ms
(/ t (* z 3.0))
26.0ms
(/ (/ t (* z 3.0)) y)

simplify68.0ms

Algorithm
egg-herbie
Counts
314 → 314
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
012894253
150013918

prune1.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ (/ y z) 3.0)) (/ (/ (/ t z) 3.0) y))
0.2b
(/ (/ t z) 3.0)
0.2b
(/ (/ y z) 3.0)
5.5b
(/ (/ (/ t z) 3.0) y)

rewrite317.0ms

Algorithm
rewrite-expression-head
Rules
744×times-frac
430×add-sqr-sqrt
428×*-un-lft-identity
421×add-cube-cbrt
131×associate-+l+
129×prod-diff
69×associate-/l*
39×div-inv
23×add-exp-log add-cbrt-cube
12×cbrt-undiv div-exp
associate-/r* add-log-exp
fma-def
pow1 expm1-log1p-u log1p-expm1-u
frac-2neg clear-num associate-/l/ difference-of-squares
frac-add sum-log distribute-lft-out distribute-lft-out--
+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log flip-- flip-+
Counts
4 → 495
Calls
4 calls:
230.0ms
(+ (- x (/ (/ y z) 3.0)) (/ (/ (/ t z) 3.0) y))
10.0ms
(/ (/ t z) 3.0)
11.0ms
(/ (/ y z) 3.0)
26.0ms
(/ (/ (/ t z) 3.0) y)

series130.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(+ (- x (/ (/ y z) 3.0)) (/ (/ (/ t z) 3.0) y))
16.0ms
(/ (/ t z) 3.0)
16.0ms
(/ (/ y z) 3.0)
26.0ms
(/ (/ (/ t z) 3.0) y)

simplify99.0ms

Algorithm
egg-herbie
Counts
507 → 507
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
019986171
150025830

prune1.9s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes113.0ms

Accuracy

75.2% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.6b

bsearch135.0ms

Steps
ItersRangePoint
9
5.438907513971891e+45
2.905752377093217e+53
5.854675196306246e+46
9
-59659.76955852379
-0.05643999566738478
-43648.09610487145

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03715
13715

end0.0ms

sample756.0ms

Algorithm
intervals
Results
342.0ms11125×body80valid