Details

Time bar (total: 10.5s)

sample25.0ms

Algorithm
intervals
Results
12.0ms355×body80valid

simplify163.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01115
12415
25315
38715
413315
517915
619415
721115
823615
925415
done25415

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize9.0ms

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)
6.0b
(/ t (* (* z 3.0) y))

rewrite65.0ms

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:
41.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
3.0ms
(/ y (* z 3.0))
7.0ms
(* (* z 3.0) y)
10.0ms
(/ t (* (* z 3.0) y))

series150.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
19.0ms
(/ y (* z 3.0))
19.0ms
(* (* z 3.0) y)
33.0ms
(/ t (* (* z 3.0) y))

simplify1.0s

Counts
127 → 127
Iterations

Useful iterations: 2 (330.0ms)

IterNodesCost
01841873
15011735
221471473
done50001473

prune330.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* z 3.0) y)
0.2b
(/ y (* z 3.0))
0.5b
(/ 1 (/ (* (* z 3.0) y) t))
6.0b
(/ (* (* z 3.0) y) t)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
57×add-exp-log
39×times-frac
37×add-cbrt-cube
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
22×div-exp
16×prod-exp
12×cbrt-undiv
11×associate-/r*
10×pow1 cbrt-unprod
7×div-inv associate-/l*
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×frac-2neg associate-*r* pow-prod-down clear-num
1×pow-flip associate-*l* associate-/r/ *-commutative inv-pow
Counts
4 → 130
Calls
4 calls:
7.0ms
(* (* z 3.0) y)
3.0ms
(/ y (* z 3.0))
13.0ms
(/ 1 (/ (* (* z 3.0) y) t))
8.0ms
(/ (* (* z 3.0) y) t)

series102.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (* z 3.0) y)
18.0ms
(/ y (* z 3.0))
30.0ms
(/ 1 (/ (* (* z 3.0) y) t))
28.0ms
(/ (* (* z 3.0) y) t)

simplify999.0ms

Counts
142 → 142
Iterations

Useful iterations: done (996.0ms)

IterNodesCost
01891583
14611453
218911243
done50011180

prune275.0ms

Pruning

7 alts after pruning (6 fresh and 1 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
(* (* z 3.0) y)
0.3b
(/ (/ y z) 3.0)
6.0b
(/ t (* (* z 3.0) y))

rewrite198.0ms

Algorithm
rewrite-expression-head
Rules
279×times-frac
207×add-sqr-sqrt
205×*-un-lft-identity
198×add-cube-cbrt
131×associate-+l+
129×prod-diff
23×add-exp-log add-cbrt-cube
18×div-inv
16×associate-/l*
9×pow1 add-log-exp
7×fma-def
6×cbrt-undiv div-exp prod-exp cbrt-unprod
4×expm1-log1p-u associate-/r* log1p-expm1-u
3×associate-*r* pow-prod-down difference-of-squares
2×frac-2neg frac-add clear-num sum-log distribute-lft-out distribute-lft-out--
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log associate-*l* *-commutative flip-- flip-+ associate-/l/
Counts
4 → 274
Calls
4 calls:
153.0ms
(+ (- x (/ (/ y z) 3.0)) (/ t (* (* z 3.0) y)))
7.0ms
(* (* z 3.0) y)
6.0ms
(/ (/ y z) 3.0)
11.0ms
(/ t (* (* z 3.0) y))

series153.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(+ (- x (/ (/ y z) 3.0)) (/ t (* (* z 3.0) y)))
20.0ms
(* (* z 3.0) y)
19.0ms
(/ (/ y z) 3.0)
35.0ms
(/ t (* (* z 3.0) y))

simplify1.8s

Counts
286 → 286
Iterations

Useful iterations: 2 (970.0ms)

IterNodesCost
04337320
112086860
244435495
done50005495

prune1.5s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ y z) (cbrt 3.0)))
0.2b
(* (* z 3.0) y)
0.3b
(/ (/ y z) (cbrt 3.0))
6.0b
(/ t (* (* z 3.0) y))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
307×times-frac
198×add-sqr-sqrt
160×*-un-lft-identity
155×add-cube-cbrt
101×add-exp-log
87×cbrt-prod
85×associate-*r*
45×add-cbrt-cube
39×div-exp
36×prod-exp
21×cbrt-undiv
18×cbrt-unprod
17×div-inv
16×associate-/l*
15×unswap-sqr
11×pow1
8×associate-*l*
7×associate-/r*
6×rec-exp 1-exp
4×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp
2×frac-2neg clear-num *-commutative
1×frac-times associate-*r/ associate-*l/ associate-/l/
Counts
4 → 307
Calls
4 calls:
61.0ms
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ y z) (cbrt 3.0)))
7.0ms
(* (* z 3.0) y)
7.0ms
(/ (/ y z) (cbrt 3.0))
7.0ms
(/ t (* (* z 3.0) y))

series207.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ y z) (cbrt 3.0)))
19.0ms
(* (* z 3.0) y)
69.0ms
(/ (/ y z) (cbrt 3.0))
29.0ms
(/ t (* (* z 3.0) y))

simplify1.6s

Counts
319 → 319
Iterations

Useful iterations: done (1.6s)

IterNodesCost
04465106
113594738
done50004480

prune936.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes191.0ms

Accuracy

77.8% (0.8b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 3.6b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03263
14363
done4363

end0.0ms

sample651.0ms

Algorithm
intervals
Results
370.0ms11167×body80valid