Details

sample17.0ms

Algorithm

intervals

Results

5.0ms	65×	body	640	valid
3.0ms	133×	body	80	valid
2.0ms	35×	body	320	valid
1.0ms	23×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	12	11
2	15	11
done	15	11

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
3.2b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

66×	`*-un-lft-identity`
43×	`times-frac`
40×	`add-sqr-sqrt`
25×	`distribute-lft-out--`
20×	`add-cube-cbrt`
8×	`difference-of-squares`
6×	`distribute-lft-out`
5×	`associate-/r*`
4×	`add-exp-log` `associate-/r/` `add-cbrt-cube` `add-log-exp`
3×	`flip--` `div-inv` `associate-/l*`
2×	`pow1` `flip3--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `frac-sub` `flip-+`

Counts

2 → 69

Calls

2 calls:

11.0ms	(/ 1.0 (- x 1.0))
79.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series191.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ 1.0 (- x 1.0))
164.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify1.2s

Counts

75 → 75

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	144	1028
1	315	984
2	762	934
3	1775	932
done	5000	926

prune116.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 0 (+ 1.0 1.0)))
0.5b	(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
25×	`*-un-lft-identity` `times-frac`
20×	`add-cube-cbrt`
18×	`associate-l`
9×	`add-exp-log` `add-cbrt-cube`
8×	`difference-of-squares`
6×	`associate-r`
4×	`pow1` `flip3--` `associate-/r*` `associate-/r/` `flip--`
3×	`associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `distribute-lft-out--` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `sub0-neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `distribute-rgt-neg-out` `distribute-lft-out`

Counts

2 → 82

Calls

2 calls:

95.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 0 (+ 1.0 1.0)))
15.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

series102.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 0 (+ 1.0 1.0)))
50.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify964.0ms

Counts

88 → 88

Iterations

Useful iterations: done (961.0ms)

Iter	Nodes	Cost
0	172	1597
1	446	1449
2	1659	1248
done	5000	1202

prune183.0ms

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	(* (/ (/ 1.0 (+ x 1.0)) (- x 1.0)) (- 0 (+ 1.0 1.0)))
0.1b	(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

315×	`times-frac`
274×	`*-un-lft-identity`
214×	`add-sqr-sqrt`
129×	`add-cube-cbrt`
96×	`associate-l`
39×	`distribute-lft-out--`
38×	`difference-of-squares`
34×	`distribute-lft-out`
26×	`associate-/r/`
18×	`associate-/l*`
16×	`add-exp-log` `add-cbrt-cube`
13×	`div-inv`
11×	`flip3-+` `flip-+`
6×	`cbrt-undiv` `div-exp` `associate-r`
5×	`associate-/r*`
4×	`pow1` `flip3--` `flip--`
3×	`prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in` `associate-*r/` `add-log-exp`
1×	`frac-2neg` `sub0-neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `distribute-rgt-neg-out` `associate-/l/`

Counts

2 → 260

Calls

2 calls:

132.0ms	(* (/ (/ 1.0 (+ x 1.0)) (- x 1.0)) (- 0 (+ 1.0 1.0)))
31.0ms	(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

series137.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(* (/ (/ 1.0 (+ x 1.0)) (- x 1.0)) (- 0 (+ 1.0 1.0)))
67.0ms	(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

simplify1.5s

Counts

266 → 266

Iterations

Useful iterations: 2 (731.0ms)

Iter	Nodes	Cost
0	358	5062
1	990	4653
2	3762	4316
done	5000	4316

prune494.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (/ (* 1.0 (- (* 4 (* 1.0 1.0)))) (+ 1.0 x)) (* (- x 1.0) (+ 1.0 1.0)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log` `add-cbrt-cube`
18×	`times-frac`
12×	`associate-/r/`
10×	`cbrt-undiv` `div-exp` `associate-/l*`
9×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `prod-exp` `cbrt-unprod` `flip-+`
4×	`frac-times`
3×	`flip3--` `flip--` `div-inv`
2×	`associate-r/` `distribute-frac-neg` `associate-l/` `distribute-lft-out`
1×	`pow1` `frac-2neg` `clear-num` `associate-/r*` `distribute-rgt-neg-out` `associate-/l/` `add-log-exp`

Counts

1 → 53

Calls

1 calls:

35.0ms

(/ (/ (* 1.0 (- (* 4 (* 1.0 1.0)))) (+ 1.0 x)) (* (- x 1.0) (+ 1.0 1.0)))

series74.0ms

Counts

1 → 3

Calls

1 calls:

74.0ms

(/ (/ (* 1.0 (- (* 4 (* 1.0 1.0)))) (+ 1.0 x)) (* (- x 1.0) (+ 1.0 1.0)))

simplify1.4s

Counts

56 → 56

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	163	1550
1	506	1430
2	2450	1034
done	5000	1007

prune107.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	23	20
2	33	20
3	36	20
done	36	20

end0.0ms

sample457.0ms

Algorithm

intervals

Results

155.0ms	1923×	body	640	valid
92.0ms	4226×	body	80	valid
70.0ms	1220×	body	320	valid
25.0ms	631×	body	160	valid