Details

Time bar (total: 6.6s)

sample28.0ms

Algorithm
intervals
Results
13.0ms362×body80valid

simplify75.0ms

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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize11.0ms

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)
0.4b
(/ y (* z 3.0))
6.4b
(/ t (* (* z 3.0) y))

rewrite66.0ms

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:
44.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
7.0ms
(* (* z 3.0) y)
3.0ms
(/ y (* z 3.0))
7.0ms
(/ t (* (* z 3.0) y))

series155.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
26.0ms
(* (* z 3.0) y)
20.0ms
(/ y (* z 3.0))
31.0ms
(/ t (* (* z 3.0) y))

simplify87.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
0500905
12477746
25001698

prune386.0ms

Filtered
127 candidates to 95 candidates (74.8%)
Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

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))
0.4b
(/ y (* z 3.0))
4.0b
(/ (/ t (* z 3.0)) y)

rewrite69.0ms

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:
51.0ms
(+ (- 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)

series158.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
26.0ms
(/ t (* z 3.0))
20.0ms
(/ y (* z 3.0))
32.0ms
(/ (/ t (* z 3.0)) y)

simplify82.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
05771093
12337935
25001887

prune481.0ms

Filtered
155 candidates to 121 candidates (78.1%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 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
(/ t (* z 3.0))
0.2b
(/ (/ y z) 3.0)
4.0b
(/ (/ t (* z 3.0)) y)

rewrite201.0ms

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:
163.0ms
(+ (- 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)

series156.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
27.0ms
(/ t (* z 3.0))
19.0ms
(/ (/ y z) 3.0)
31.0ms
(/ (/ t (* z 3.0)) y)

simplify79.0ms

Algorithm
egg-herbie
Counts
314 → 314
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
012894253
150013918

prune1.5s

Filtered
314 candidates to 274 candidates (87.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ y z) 3.0)
0.3b
(/ (/ 1 z) 3.0)
2.1b
(+ (+ (/ (/ t (* z 3.0)) y) (- (/ (/ y z) 3.0))) (/ (/ y z) 3.0))
4.0b
(/ (/ t (* z 3.0)) y)

rewrite957.0ms

Algorithm
rewrite-expression-head
Rules
188×times-frac
127×*-un-lft-identity
105×add-sqr-sqrt add-cube-cbrt
33×associate-/l*
27×add-exp-log
23×add-cbrt-cube
15×div-inv
14×div-exp
12×add-log-exp
11×cbrt-undiv
10×distribute-lft-out
9×associate-/r*
6×fma-def
5×sum-log
4×pow1 expm1-log1p-u distribute-rgt-neg-in frac-add log1p-expm1-u
3×associate-+l- frac-2neg clear-num associate-/l/
2×flip3-+ flip-+
1×+-commutative neg-sub0 associate-+r- rec-exp associate-+l+ 1-exp unsub-neg neg-log prod-exp cbrt-unprod distribute-neg-frac
Counts
4 → 228
Calls
4 calls:
6.0ms
(/ (/ y z) 3.0)
6.0ms
(/ (/ 1 z) 3.0)
924.0ms
(+ (+ (/ (/ t (* z 3.0)) y) (- (/ (/ y z) 3.0))) (/ (/ y z) 3.0))
6.0ms
(/ (/ t (* z 3.0)) y)

series108.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(/ (/ y z) 3.0)
17.0ms
(/ (/ 1 z) 3.0)
33.0ms
(+ (+ (/ (/ t (* z 3.0)) y) (- (/ (/ y z) 3.0))) (/ (/ y z) 3.0))
32.0ms
(/ (/ t (* z 3.0)) y)

simplify114.0ms

Algorithm
egg-herbie
Counts
240 → 240
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
09911602
140161371
250011326

prune891.0ms

Filtered
240 candidates to 168 candidates (70.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes249.0ms

Accuracy

69.5% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.9b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03725
13725

end0.0ms

sample695.0ms

Algorithm
intervals
Results
392.0ms11079×body80valid