Details

sample30.0ms

Algorithm

intervals

Results

15.0ms

295×

body

valid

simplify199.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	19	11
2	27	11
3	40	11
4	47	11
5	61	11
6	73	11
7	103	11
8	108	11
9	114	11
10	118	11
11	126	11
12	129	11
13	131	11
done	131	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.6b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
10.0b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite91.0ms

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:

47.0ms	(* x (+ (/ x y) 1.0))
43.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series98.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(* x (+ (/ x y) 1.0))
70.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify2.6s

Counts

56 → 56

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	103	719
1	292	689
2	1068	593
3	4290	591
done	5001	591

prune113.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

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))

rewrite92.0ms

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:

43.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
42.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series132.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
72.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.2s

Counts

152 → 152

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	207	2958
1	479	2772
2	1674	2658
done	5000	2646

prune359.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (+ 1.0 (/ x y)) (+ x 1.0))
0.2b	(* x (/ (+ 1.0 (/ x y)) (+ x 1.0)))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 81

Calls

2 calls:

42.0ms	(/ (+ 1.0 (/ x y)) (+ x 1.0))
75.0ms	(* x (/ (+ 1.0 (/ x y)) (+ x 1.0)))

series81.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ (+ 1.0 (/ x y)) (+ x 1.0))
45.0ms	(* x (/ (+ 1.0 (/ x y)) (+ x 1.0)))

simplify1.8s

Counts

87 → 87

Iterations

Useful iterations: 3 (712.0ms)

Iter	Nodes	Cost
0	123	1298
1	322	1230
2	979	1118
3	2871	1116
done	5000	1116

prune260.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `-un-lft-identity` `associate-r/`
7×	`cbrt-prod` `cbrt-div`
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` `frac-times` `pow-plus` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 64

Calls

4 calls:

22.0ms	(* (cbrt (* x (/ (+ 1.0 (/ x y)) (+ x 1.0)))) (cbrt (* x (/ (+ 1.0 (/ x y)) (+ x 1.0)))))
24.0ms	(cbrt (* x (/ (+ 1.0 (/ x y)) (+ x 1.0))))
20.0ms	(cbrt (* x (/ (+ 1.0 (/ x y)) (+ x 1.0))))
42.0ms	(cbrt (* x (/ (+ 1.0 (/ x y)) (+ x 1.0))))

series1.1s

Counts

4 → 12

Calls

4 calls:

341.0ms	(* (cbrt (* x (/ (+ 1.0 (/ x y)) (+ x 1.0)))) (cbrt (* x (/ (+ 1.0 (/ x y)) (+ x 1.0)))))
238.0ms	(cbrt (* x (/ (+ 1.0 (/ x y)) (+ x 1.0))))
266.0ms	(cbrt (* x (/ (+ 1.0 (/ x y)) (+ x 1.0))))
279.0ms	(cbrt (* x (/ (+ 1.0 (/ x y)) (+ x 1.0))))

simplify1.6s

Counts

76 → 76

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	136	1969
1	316	1810
2	841	1584
3	2383	1245
done	5001	1147

prune285.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes46.0ms

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	10	11
done	10	11

end0.0ms

sample791.0ms

Algorithm

intervals

Results

520.0ms

9186×

body

valid