Details

sample37.0ms

Algorithm

intervals

Results

19.0ms

295×

body

valid

simplify282.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	19	11
2	29	11
3	44	11
4	55	11
5	69	11
6	81	11
7	114	11
8	129	11
9	135	11
10	139	11
11	149	11
12	153	11
13	155	11
done	155	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.6b

localize8.0ms

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))

rewrite106.0ms

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` `expm1-log1p-u` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `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 → 54

Calls

2 calls:

65.0ms	(* x (+ (/ x y) 1.0))
39.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series107.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(* x (+ (/ x y) 1.0))
59.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify3.0s

Counts

60 → 60

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	107	759
1	302	728
2	1120	632
3	4510	629
done	5000	629

prune161.0ms

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))

rewrite118.0ms

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` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`

Counts

2 → 150

Calls

2 calls:

61.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
49.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series153.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
76.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.3s

Counts

156 → 156

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	211	3002
1	489	2812
2	1720	2698
done	5000	2685

prune371.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

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)))

rewrite188.0ms

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` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 85

Calls

2 calls:

77.0ms	(/ (+ 1.0 (/ x y)) (+ x 1.0))
105.0ms	(* x (/ (+ 1.0 (/ x y)) (+ x 1.0)))

series95.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (+ 1.0 (/ x y)) (+ x 1.0))
63.0ms	(* x (/ (+ 1.0 (/ x y)) (+ x 1.0)))

simplify2.4s

Counts

91 → 91

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	127	1342
1	331	1272
2	1032	1160
3	3054	1158
done	5000	1155

prune175.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize21.0ms

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))))

rewrite73.0ms

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×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `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` `-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

19.0ms	(* (cbrt (* x (/ (+ 1.0 (/ x y)) (+ x 1.0)))) (cbrt (* x (/ (+ 1.0 (/ x y)) (+ x 1.0)))))
17.0ms	(cbrt (* x (/ (+ 1.0 (/ x y)) (+ x 1.0))))
17.0ms	(cbrt (* x (/ (+ 1.0 (/ x y)) (+ x 1.0))))
18.0ms	(cbrt (* x (/ (+ 1.0 (/ x y)) (+ x 1.0))))

series1.2s

Counts

4 → 12

Calls

4 calls:

430.0ms	(* (cbrt (* x (/ (+ 1.0 (/ x y)) (+ x 1.0)))) (cbrt (* x (/ (+ 1.0 (/ x y)) (+ x 1.0)))))
310.0ms	(cbrt (* x (/ (+ 1.0 (/ x y)) (+ x 1.0))))
239.0ms	(cbrt (* x (/ (+ 1.0 (/ x y)) (+ x 1.0))))
244.0ms	(cbrt (* x (/ (+ 1.0 (/ x y)) (+ x 1.0))))

simplify2.5s

Counts

84 → 84

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	140	2099
1	328	1926
2	895	1704
3	2603	1347
done	5000	1257

prune351.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes63.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	10	11
done	10	11

end0.0ms

sample872.0ms

Algorithm

intervals

Results

567.0ms

9186×

body

valid