Details

Time bar (total: 13.2s)

sample29.0ms

Algorithm
intervals
Results
11.0ms358×body80valid

simplify186.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
12415
25415
39215
413715
515015
615915
717615
819715
920615
done20615

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.7b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ y (* z 3.0)))
0.2b
(* (* z 3.0) y)
0.2b
(/ y (* z 3.0))
7.9b
(/ t (* (* z 3.0) y))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt *-un-lft-identity
23×add-exp-log add-cube-cbrt add-cbrt-cube
21×prod-diff
15×times-frac
9×pow1
7×prod-exp cbrt-unprod
6×associate-/l* add-log-exp
5×cbrt-undiv div-exp div-inv
4×expm1-log1p-u log1p-expm1-u
3×fma-neg associate-*r* pow-prod-down
2×frac-2neg clear-num associate-/r*
1×sub-neg flip3-- diff-log associate-*l* *-commutative flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 108
Calls
4 calls:
15.0ms
(- x (/ y (* z 3.0)))
19.0ms
(* (* z 3.0) y)
11.0ms
(/ y (* z 3.0))
19.0ms
(/ t (* (* z 3.0) y))

series116.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(- x (/ y (* z 3.0)))
22.0ms
(* (* z 3.0) y)
24.0ms
(/ y (* z 3.0))
33.0ms
(/ t (* (* z 3.0) y))

simplify1.4s

Counts
120 → 120
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01861729
14531502
216791181
done5000996

prune278.0ms

Pruning

9 alts after pruning (9 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)))
0.2b
(/ y (* z 3.0))
0.2b
(/ t (* z 3.0))
4.8b
(/ (/ t (* z 3.0)) y)

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
48×times-frac
40×add-sqr-sqrt *-un-lft-identity
38×add-cube-cbrt
23×add-exp-log add-cbrt-cube
21×prod-diff
13×associate-/l*
10×div-inv
9×cbrt-undiv div-exp
6×add-log-exp
5×associate-/r*
4×pow1 expm1-log1p-u log1p-expm1-u
3×frac-2neg fma-neg prod-exp clear-num cbrt-unprod
1×sub-neg flip3-- diff-log flip-- associate-/l/ distribute-lft-out-- difference-of-squares
Counts
4 → 136
Calls
4 calls:
15.0ms
(- x (/ y (* z 3.0)))
8.0ms
(/ y (* z 3.0))
8.0ms
(/ t (* z 3.0))
19.0ms
(/ (/ t (* z 3.0)) y)

series116.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(- x (/ y (* z 3.0)))
21.0ms
(/ y (* z 3.0))
25.0ms
(/ t (* z 3.0))
33.0ms
(/ (/ t (* z 3.0)) y)

simplify1.2s

Counts
148 → 148
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02322109
15371868
215911545
done50011360

prune382.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ y (* z 3.0)))
0.2b
(/ y (/ t 3.0))
0.2b
(/ y (* z 3.0))
3.6b
(/ (/ 1 z) (/ y (/ t 3.0)))

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
1988×times-frac
869×add-sqr-sqrt *-un-lft-identity
867×add-cube-cbrt
111×div-inv
58×associate-/r*
53×add-exp-log
35×div-exp add-cbrt-cube
21×prod-diff
20×cbrt-undiv
19×associate-/l*
16×associate-/r/
6×add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×rec-exp frac-2neg fma-neg 1-exp clear-num
1×sub-neg flip3-- diff-log prod-exp flip-- cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares
Counts
4 → 796
Calls
4 calls:
20.0ms
(- x (/ y (* z 3.0)))
9.0ms
(/ y (/ t 3.0))
9.0ms
(/ y (* z 3.0))
33.0ms
(/ (/ 1 z) (/ y (/ t 3.0)))

series118.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(- x (/ y (* z 3.0)))
27.0ms
(/ y (/ t 3.0))
21.0ms
(/ y (* z 3.0))
33.0ms
(/ (/ 1 z) (/ y (/ t 3.0)))

simplify1.9s

Counts
808 → 808
Iterations

Useful iterations: done (1.9s)

IterNodesCost
0134418683
1373216020
done500015629

prune1.6s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 1 x (/ (- (/ y 3.0)) z))
0.2b
(/ (- (/ y 3.0)) z)
0.2b
(/ y (/ t 3.0))
3.6b
(/ (/ 1 z) (/ y (/ t 3.0)))

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
2138×times-frac
942×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
116×div-inv
60×associate-/r*
52×distribute-lft-neg-in distribute-rgt-neg-in
50×add-exp-log
46×associate-/l*
34×div-exp
32×add-cbrt-cube
19×cbrt-undiv
16×associate-/r/
4×pow1 expm1-log1p-u neg-mul-1 log1p-expm1-u add-log-exp
3×rec-exp frac-2neg 1-exp clear-num
2×associate-/l/
1×neg-sub0 div-sub distribute-frac-neg fma-udef distribute-neg-frac
Counts
4 → 883
Calls
4 calls:
0.0ms
(fma 1 x (/ (- (/ y 3.0)) z))
19.0ms
(/ (- (/ y 3.0)) z)
9.0ms
(/ y (/ t 3.0))
36.0ms
(/ (/ 1 z) (/ y (/ t 3.0)))

series126.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(fma 1 x (/ (- (/ y 3.0)) z))
22.0ms
(/ (- (/ y 3.0)) z)
21.0ms
(/ y (/ t 3.0))
34.0ms
(/ (/ 1 z) (/ y (/ t 3.0)))

simplify2.0s

Counts
895 → 895
Iterations

Useful iterations: done (2.0s)

IterNodesCost
0149319445
1397316866
done500116633

prune2.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes129.0ms

Accuracy

38.5% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 3.1b

bsearch49.0ms

Steps
ItersRangePoint
7
-4.161803584688616e+31
-1.1401624409770762e+30
-4.4078873806898373e+30

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02638
13738
done3738

end0.0ms

sample760.0ms

Algorithm
intervals
Results
358.0ms11056×body80valid