Details

sample31.0ms

Algorithm

intervals

Results

21.0ms

286×

body

valid

simplify4.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
20	1982
19	1101
18	839
17	640
16	468
15	345
14	269
13	257
12	220
11	187
10	160
9	156
8	142
7	115
6	82
5	70
4	56
3	45
2	30
1	19
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.4b

localize19.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
10.4b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
9×	`add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt`
4×	`pow1` `associate-/r` `times-frac` `associate-r` `associate-r/`
3×	`flip3-+` `associate-l` `flip-+` `distribute-lft-out`
2×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `associate-/l/`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 56

Calls

2 calls:

31.0ms	(* x (+ (/ x y) 1.0))
30.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series91.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* x (+ (/ x y) 1.0))
51.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify932.0ms

Counts

62 → 62

Iterations

Iter	Nodes
done	5005
2	1466
1	332
0	108

prune211.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.1b	(/ (+ x 1.0) (+ (/ x y) 1.0))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

155×	`*-un-lft-identity`
146×	`times-frac`
71×	`add-sqr-sqrt` `add-cube-cbrt`
42×	`distribute-lft-out`
26×	`associate-/r*`
11×	`associate-/r/`
9×	`add-cbrt-cube` `add-exp-log`
7×	`associate-/l*`
6×	`flip3-+` `flip-+` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp` `associate-/l/`

Counts

2 → 152

Calls

2 calls:

21.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
23.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series133.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
74.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.4s

Counts

158 → 158

Iterations

Iter	Nodes
done	5001
2	2332
1	569
0	212

prune392.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ x y) x) (* 1.0 x))
0.1b	(* (/ x y) x)
10.4b	(/ (+ (* (/ x y) x) (* 1.0 x)) (+ x 1.0))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
26×	`add-sqr-sqrt` `times-frac`
21×	`add-cube-cbrt`
13×	`associate-l`
10×	`add-cbrt-cube` `add-exp-log`
6×	`distribute-rgt-out`
5×	`pow1` `distribute-lft-out` `add-log-exp`
4×	`associate-/r` `associate-/l`
3×	`expm1-log1p-u` `flip3-+` `associate-r` `flip-+` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative`

Counts

3 → 94

Calls

3 calls:

10.0ms	(+ (* (/ x y) x) (* 1.0 x))
12.0ms	(* (/ x y) x)
31.0ms	(/ (+ (* (/ x y) x) (* 1.0 x)) (+ x 1.0))

series100.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ (* (/ x y) x) (* 1.0 x))
20.0ms	(* (/ x y) x)
47.0ms	(/ (+ (* (/ x y) x) (* 1.0 x)) (+ x 1.0))

simplify1.7s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	1750
1	420
0	160

prune359.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

10.4b	(/ (+ (* (* (cbrt (* (/ x y) x)) (cbrt (* (/ x y) x))) (cbrt (* (/ x y) x))) (* 1.0 x)) (+ x 1.0))
26.5b	(cbrt (* (/ x y) x))
26.5b	(cbrt (* (/ x y) x))
26.5b	(cbrt (* (/ x y) x))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
13×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
6×	`add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `pow1` `associate-/r*` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-l/` `associate-/l`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 77

Calls

4 calls:

82.0ms	(/ (+ (* (* (cbrt (* (/ x y) x)) (cbrt (* (/ x y) x))) (cbrt (* (/ x y) x))) (* 1.0 x)) (+ x 1.0))
8.0ms	(cbrt (* (/ x y) x))
4.0ms	(cbrt (* (/ x y) x))
4.0ms	(cbrt (* (/ x y) x))

series394.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(/ (+ (* (* (cbrt (* (/ x y) x)) (cbrt (* (/ x y) x))) (cbrt (* (/ x y) x))) (* 1.0 x)) (+ x 1.0))
89.0ms	(cbrt (* (/ x y) x))
104.0ms	(cbrt (* (/ x y) x))
119.0ms	(cbrt (* (/ x y) x))

simplify2.4s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
3	4757
2	1004
1	297
0	127

prune418.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes98.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.1s

9073×

body

valid