Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

285×

body

valid

simplify137.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	11
1	19	11
2	26	11
3	39	11
4	46	11
5	60	11
6	73	11
7	98	11
8	102	11
9	108	11
10	112	11
11	120	11
12	123	11
13	125	11
done	125	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
11.3b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

32.0ms	(* x (+ (/ x y) 1.0))
16.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series72.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* x (+ (/ x y) 1.0))
41.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify1.8s

Counts

56 → 56

Iterations

Useful iterations: 3 (617.0ms)

Iter	Nodes	Cost
0	103	719
1	294	689
2	996	593
3	4242	591
done	5000	591

prune113.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize7.0ms

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))

rewrite52.0ms

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-exp-log` `add-cbrt-cube`
7×	`associate-/l*`
6×	`flip3-+` `flip-+` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`

Counts

2 → 146

Calls

2 calls:

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

series106.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
65.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify645.0ms

Counts

152 → 152

Iterations

Useful iterations: done (638.0ms)

Iter	Nodes	Cost
0	207	2958
1	493	2772
2	1653	2658
done	5000	2654

prune242.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 77

Calls

2 calls:

5.0ms	(/ x (+ x 1.0))
42.0ms	(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

series97.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ x (+ x 1.0))
55.0ms	(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

simplify941.0ms

Counts

83 → 83

Iterations

Useful iterations: done (938.0ms)

Iter	Nodes	Cost
0	141	1077
1	458	1041
2	1446	941
done	5001	939

prune147.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (/ x (+ x 1.0)) (+ (/ x y) 1.0))) (cbrt (* (/ x (+ x 1.0)) (+ (/ x y) 1.0))))
0.5b	(cbrt (* (/ x (+ x 1.0)) (+ (/ x y) 1.0)))
0.5b	(cbrt (* (/ x (+ x 1.0)) (+ (/ x y) 1.0)))
0.5b	(cbrt (* (/ x (+ x 1.0)) (+ (/ x y) 1.0)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

75×	`cbrt-div`
55×	`frac-times`
35×	`associate-*r/`
30×	`flip3-+` `flip-+`
20×	`associate-*l/`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

20.0ms	(* (cbrt (* (/ x (+ x 1.0)) (+ (/ x y) 1.0))) (cbrt (* (/ x (+ x 1.0)) (+ (/ x y) 1.0))))
19.0ms	(cbrt (* (/ x (+ x 1.0)) (+ (/ x y) 1.0)))
13.0ms	(cbrt (* (/ x (+ x 1.0)) (+ (/ x y) 1.0)))
11.0ms	(cbrt (* (/ x (+ x 1.0)) (+ (/ x y) 1.0)))

series807.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(* (cbrt (* (/ x (+ x 1.0)) (+ (/ x y) 1.0))) (cbrt (* (/ x (+ x 1.0)) (+ (/ x y) 1.0))))
197.0ms	(cbrt (* (/ x (+ x 1.0)) (+ (/ x y) 1.0)))
193.0ms	(cbrt (* (/ x (+ x 1.0)) (+ (/ x y) 1.0)))
190.0ms	(cbrt (* (/ x (+ x 1.0)) (+ (/ x y) 1.0)))

simplify1.2s

Counts

120 → 120

Iterations

Useful iterations: 3 (515.0ms)

Iter	Nodes	Cost
0	217	3845
1	460	3634
2	1268	3408
3	3934	3017
done	5000	3017

prune346.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	11	11
done	11	11

end0.0ms

sample387.0ms

Algorithm

intervals

Results

239.0ms

9141×

body

valid