Details

Time bar (total: 5.7s)

sample48.0ms

Algorithm
intervals
Results
33.0ms378×body80valid

simplify59.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.5b

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
(* (* z 3.0) y)
6.7b
(/ t (* (* z 3.0) y))

rewrite64.0ms

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
9×pow1 add-log-exp
7×prod-exp cbrt-unprod
6×associate-/l*
5×cbrt-undiv fma-def div-exp div-inv
4×expm1-log1p-u log1p-expm1-u
3×associate-*r* pow-prod-down
2×frac-2neg frac-add clear-num associate-/r* sum-log distribute-lft-out distribute-lft-out--
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log associate-*l* *-commutative flip-- flip-+ difference-of-squares
Counts
4 → 115
Calls
4 calls:
42.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
3.0ms
(/ y (* z 3.0))
7.0ms
(* (* z 3.0) y)
8.0ms
(/ t (* (* z 3.0) y))

series158.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
25.0ms
(/ y (* z 3.0))
22.0ms
(* (* z 3.0) y)
32.0ms
(/ t (* (* z 3.0) y))

simplify84.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
0500905
12477746
25001698

prune398.0ms

Pruning

11 alts after pruning (11 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))
0.2b
(/ y (* z 3.0))
4.0b
(/ (/ t (* z 3.0)) y)

rewrite68.0ms

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
9×cbrt-undiv div-exp add-log-exp
5×fma-def associate-/r*
4×pow1 expm1-log1p-u log1p-expm1-u
3×frac-2neg prod-exp clear-num cbrt-unprod
2×frac-add sum-log distribute-lft-out distribute-lft-out--
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log flip-- flip-+ associate-/l/ difference-of-squares
Counts
4 → 143
Calls
4 calls:
50.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
3.0ms
(/ t (* z 3.0))
3.0ms
(/ y (* z 3.0))
6.0ms
(/ (/ t (* z 3.0)) y)

series157.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
25.0ms
(/ t (* z 3.0))
20.0ms
(/ y (* z 3.0))
32.0ms
(/ (/ t (* z 3.0)) y)

simplify75.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
05771093
12337935
25001887

prune492.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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))
4.0b
(/ (/ t (* z 3.0)) y)

rewrite197.0ms

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
9×add-log-exp
7×fma-def associate-/r*
4×pow1 expm1-log1p-u log1p-expm1-u
3×frac-2neg clear-num difference-of-squares
2×frac-add prod-exp sum-log cbrt-unprod associate-/l/ distribute-lft-out distribute-lft-out--
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log flip-- flip-+
Counts
4 → 302
Calls
4 calls:
158.0ms
(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
6.0ms
(/ (/ y z) 3.0)
3.0ms
(/ t (* z 3.0))
6.0ms
(/ (/ t (* z 3.0)) y)

series164.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
22.0ms
(/ (/ y z) 3.0)
21.0ms
(/ t (* z 3.0))
33.0ms
(/ (/ t (* z 3.0)) y)

simplify76.0ms

Algorithm
egg-herbie
Counts
314 → 314
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
012894253
150013918

prune1.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ (* 0.3333333333333333 (/ t z)) y))
0.2b
(/ y (* z 3.0))
0.2b
(* 0.3333333333333333 (/ t z))
4.0b
(/ (* 0.3333333333333333 (/ t z)) y)

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt *-un-lft-identity
30×add-cube-cbrt
25×times-frac
23×add-exp-log associate-+l+ add-cbrt-cube
21×prod-diff
13×associate-*r*
9×add-log-exp
7×cbrt-undiv div-exp
6×pow1 div-inv
5×fma-def prod-exp cbrt-unprod
4×expm1-log1p-u associate-/r* log1p-expm1-u associate-/l*
3×associate-*l*
2×frac-2neg associate-*r/ frac-add clear-num sum-log distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log pow-prod-down *-commutative flip-- flip-+ associate-/l/ difference-of-squares
Counts
4 → 130
Calls
4 calls:
38.0ms
(+ (- x (/ y (* z 3.0))) (/ (* 0.3333333333333333 (/ t z)) y))
3.0ms
(/ y (* z 3.0))
7.0ms
(* 0.3333333333333333 (/ t z))
5.0ms
(/ (* 0.3333333333333333 (/ t z)) y)

series159.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(+ (- x (/ y (* z 3.0))) (/ (* 0.3333333333333333 (/ t z)) y))
21.0ms
(/ y (* z 3.0))
20.0ms
(* 0.3333333333333333 (/ t z))
32.0ms
(/ (* 0.3333333333333333 (/ t z)) y)

simplify85.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
0589960
12606803
25001749

prune426.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes204.0ms

Accuracy

78.2% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.8b

bsearch147.0ms

Steps
ItersRangePoint
8
1380249632226409.0
1.4524949464983345e+19
1.4257093695166208e+17
9
-1.903026018846269e+29
-4.4258380080957666e+20
-5.633804011750121e+26

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03415
13415

end0.0ms

sample1.3s

Algorithm
intervals
Results
981.0ms11178×body80valid