Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

288×

body

valid

simplify146.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	128
12	128
11	127
10	123
9	119
8	113
7	100
6	81
5	70
4	55
3	43
2	28
1	19
0	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.6b

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
9.0b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite94.0ms

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` `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 → 54

Calls

2 calls:

48.0ms	(* x (+ (/ x y) 1.0))
44.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series104.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(* x (+ (/ x y) 1.0))
59.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify1.4s

Counts

60 → 60

Iterations

Iter	Nodes
done	5004
2	1411
1	329
0	106

prune270.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite132.0ms

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` `log1p-expm1-u` `add-log-exp` `associate-/l/`

Counts

2 → 150

Calls

2 calls:

59.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
61.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series168.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
109.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.7s

Counts

156 → 156

Iterations

Iter	Nodes
done	5003
2	2128
1	567
0	210

prune734.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))) (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))))
0.3b	(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.3b	(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.3b	(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

279×	`*-un-lft-identity`
206×	`cbrt-prod`
158×	`times-frac`
103×	`add-sqr-sqrt`
88×	`distribute-lft-out`
79×	`add-cube-cbrt`
45×	`swap-sqr`
25×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3-+` `flip-+` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 226

Calls

4 calls:

149.0ms	(* (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))) (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))))
13.0ms	(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))
13.0ms	(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))
13.0ms	(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))

series891.0ms

Counts

4 → 12

Calls

4 calls:

239.0ms	(* (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))) (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))))
218.0ms	(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))
188.0ms	(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))
246.0ms	(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))

simplify2.3s

Counts

238 → 238

Iterations

Iter	Nodes
done	5001
3	3033
2	1095
1	445
0	214

prune1.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

12.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.2s

Counts

4 → 12

Calls

4 calls:

324.0ms	(* (cbrt x) (cbrt x))
298.0ms	(cbrt x)
294.0ms	(cbrt x)
252.0ms	(cbrt x)

simplify3.6s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
4	4108
3	1072
2	382
1	140
0	65

prune443.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes119.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample786.0ms

Algorithm

intervals

Results

559.0ms

9128×

body

valid