Details

Time bar (total: 5.0s)

sample24.0ms

Algorithm
intervals
Results
11.0ms334×body80valid

simplify61.0ms

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: 3.1b

localize10.0ms

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)
0.2b
(/ y (* z 3.0))
7.6b
(/ t (* (* z 3.0) y))

rewrite63.0ms

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)))
6.0ms
(* (* z 3.0) y)
3.0ms
(/ y (* z 3.0))
7.0ms
(/ t (* (* z 3.0) y))

series156.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
21.0ms
(* (* z 3.0) y)
20.0ms
(/ y (* z 3.0))
32.0ms
(/ t (* (* z 3.0) y))

simplify85.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
0500905
12477746
25001698

prune383.0ms

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))
0.2b
(/ y (* z 3.0))
4.6b
(/ (/ t (* z 3.0)) y)

rewrite65.0ms

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:
48.0ms
(+ (- 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)

series155.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
20.0ms
(/ t (* z 3.0))
20.0ms
(/ y (* z 3.0))
31.0ms
(/ (/ t (* z 3.0)) y)

simplify76.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
05771093
12337935
25001887

prune477.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize14.0ms

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)
4.6b
(/ (/ t (* z 3.0)) y)

rewrite194.0ms

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:
154.0ms
(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
3.0ms
(/ t (* z 3.0))
6.0ms
(/ (/ y z) 3.0)
6.0ms
(/ (/ t (* z 3.0)) y)

series155.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
20.0ms
(/ t (* z 3.0))
20.0ms
(/ (/ y z) 3.0)
32.0ms
(/ (/ t (* z 3.0)) y)

simplify73.0ms

Algorithm
egg-herbie
Counts
314 → 314
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
012894253
150013918

prune1.2s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* t (/ (/ 1 z) 3.0))
0.2b
(/ (/ y z) 3.0)
0.2b
(/ (/ 1 z) 3.0)
4.6b
(/ (* t (/ (/ 1 z) 3.0)) y)

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
224×times-frac
138×add-sqr-sqrt
127×*-un-lft-identity
126×add-cube-cbrt
55×add-exp-log
43×associate-*r*
37×add-cbrt-cube
27×div-exp associate-/l*
16×cbrt-undiv
15×div-inv
10×prod-exp
9×associate-/r*
6×pow1 cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×rec-exp frac-2neg 1-exp associate-*l* clear-num associate-/l/
2×associate-*r/
1×pow-prod-down *-commutative
Counts
4 → 246
Calls
4 calls:
21.0ms
(* t (/ (/ 1 z) 3.0))
6.0ms
(/ (/ y z) 3.0)
6.0ms
(/ (/ 1 z) 3.0)
9.0ms
(/ (* t (/ (/ 1 z) 3.0)) y)

series89.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* t (/ (/ 1 z) 3.0))
19.0ms
(/ (/ y z) 3.0)
17.0ms
(/ (/ 1 z) 3.0)
30.0ms
(/ (* t (/ (/ 1 z) 3.0)) y)

simplify91.0ms

Algorithm
egg-herbie
Counts
258 → 258
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
08921514
139791348
250011269

prune667.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

regimes108.0ms

Accuracy

79.5% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.7b

bsearch119.0ms

Steps
ItersRangePoint
10
4.6138914274165986e+49
1.0286577002489468e+63
2.3927102288320483e+56
7
-3051.838278273467
-82.6030129474761
-99.50133377650505

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03815
13815

end0.0ms

sample650.0ms

Algorithm
intervals
Results
367.0ms11001×body80valid