Details

Time bar (total: 5.4s)

sample27.0ms

Algorithm
intervals
Results
11.0ms358×body80valid

simplify66.0ms

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
done8077

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

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)
0.3b
(/ y (* z 3.0))
6.3b
(/ t (* (* z 3.0) y))

rewrite137.0ms

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:
87.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
17.0ms
(* (* z 3.0) y)
11.0ms
(/ y (* z 3.0))
17.0ms
(/ t (* (* z 3.0) y))

series166.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
21.0ms
(* (* z 3.0) y)
21.0ms
(/ y (* z 3.0))
36.0ms
(/ t (* (* z 3.0) y))

simplify74.0ms

Counts
127 → 127
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
0500905
12477746
25001698
done5001698

prune363.0ms

Pruning

8 alts after pruning (8 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))
0.3b
(/ y (* z 3.0))
4.1b
(/ (/ t (* z 3.0)) y)

rewrite131.0ms

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:
92.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
8.0ms
(/ t (* z 3.0))
8.0ms
(/ y (* z 3.0))
19.0ms
(/ (/ t (* z 3.0)) y)

series172.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
22.0ms
(/ t (* z 3.0))
22.0ms
(/ y (* z 3.0))
38.0ms
(/ (/ t (* z 3.0)) y)

simplify66.0ms

Counts
155 → 155
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05771093
12337935
25001887
done5001887

prune424.0ms

Pruning

7 alts after pruning (7 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
(/ (/ y z) 3.0)
0.2b
(/ t (* z 3.0))
4.1b
(/ (/ t (* z 3.0)) y)

rewrite243.0ms

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:
193.0ms
(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
11.0ms
(/ (/ y z) 3.0)
7.0ms
(/ t (* z 3.0))
14.0ms
(/ (/ t (* z 3.0)) y)

series166.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
28.0ms
(/ (/ y z) 3.0)
20.0ms
(/ t (* z 3.0))
32.0ms
(/ (/ t (* z 3.0)) y)

simplify76.0ms

Counts
314 → 314
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
012894253
150013918
done50013918

prune1.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (fma 1 x (- (* (/ y 3.0) (/ 1 z)))) (fma (/ 1 z) (+ (- (/ y 3.0)) (/ y 3.0)) (/ (/ t (* z 3.0)) y)))
0.2b
(/ t (* z 3.0))
0.3b
(* (/ y 3.0) (/ 1 z))
4.1b
(/ (/ t (* z 3.0)) y)

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
61×times-frac
54×add-sqr-sqrt
41×*-un-lft-identity
40×add-exp-log
37×add-cube-cbrt
30×add-cbrt-cube
15×div-exp
13×associate-*r* associate-*l*
11×cbrt-undiv
10×prod-exp associate-/l*
8×div-inv
6×pow1 cbrt-unprod add-log-exp unswap-sqr
4×expm1-log1p-u associate-/r* log1p-expm1-u
3×fma-def
2×rec-exp frac-2neg 1-exp clear-num fma-udef
1×+-commutative frac-times associate-+l+ associate-+r+ flip3-+ associate-*r/ pow-prod-down associate-*l/ sum-log un-div-inv *-commutative flip-+ associate-/l/ distribute-lft-out
Counts
4 → 151
Calls
4 calls:
6.0ms
(+ (fma 1 x (- (* (/ y 3.0) (/ 1 z)))) (fma (/ 1 z) (+ (- (/ y 3.0)) (/ y 3.0)) (/ (/ t (* z 3.0)) y)))
8.0ms
(/ t (* z 3.0))
24.0ms
(* (/ y 3.0) (/ 1 z))
17.0ms
(/ (/ t (* z 3.0)) y)

series188.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(+ (fma 1 x (- (* (/ y 3.0) (/ 1 z)))) (fma (/ 1 z) (+ (- (/ y 3.0)) (/ y 3.0)) (/ (/ t (* z 3.0)) y)))
20.0ms
(/ t (* z 3.0))
21.0ms
(* (/ y 3.0) (/ 1 z))
36.0ms
(/ (/ t (* z 3.0)) y)

simplify85.0ms

Counts
163 → 163
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
07131089
13194948
25001928
done5001928

prune559.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes164.0ms

Accuracy

71.8% (0.5b remaining)

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

bsearch88.0ms

Steps
ItersRangePoint
6
1.5420112390516423e-74
2.2221978925609696e-73
1.3743927570433301e-73
8
-2.392281947342306e+50
-1.4413722926095007e+46
-2.217051937980128e+48

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04222
14222
done4222

end0.0ms

sample714.0ms

Algorithm
intervals
Results
345.0ms11110×body80valid