Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	11
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

75×	`*-un-lft-identity`
50×	`times-frac`
45×	`add-sqr-sqrt`
31×	`add-cube-cbrt`
21×	`fma-def`
11×	`distribute-lft-out`
9×	`associate-/r*` `distribute-lft-out--`
7×	`add-cbrt-cube` `add-exp-log` `difference-of-squares`
6×	`associate-/r/` `associate-/l*`
5×	`add-log-exp`
3×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `div-inv`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-exp` `flip-+` `flip--`
1×	`+-commutative` `sum-log` `frac-add`

Counts

3 → 114

Calls

3 calls:

9.0ms	(/ x (+ x 1.0))
9.0ms	(/ 1.0 (- x 1.0))
71.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series198.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ x (+ x 1.0))
31.0ms	(/ 1.0 (- x 1.0))
130.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify1.3s

Counts

123 → 123

Iterations

Iter	Nodes
done	5001
2	1747
1	431
0	175

prune447.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
0.0b	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
0.0b	(* (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))
0.0b	(cbrt (* (* (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))) (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))))

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

296×	`*-un-lft-identity`
126×	`times-frac`
90×	`frac-times`
80×	`distribute-lft-out`
63×	`cbrt-div`
58×	`flip3-+` `frac-add` `flip-+`
42×	`fma-def`
40×	`add-sqr-sqrt`
30×	`associate-*l/` `distribute-lft-out--`
26×	`add-cube-cbrt`
22×	`swap-sqr`
18×	`associate-*r/`
11×	`pow1`
8×	`associate-r` `associate-l` `add-log-exp`
6×	`add-cbrt-cube` `add-exp-log` `difference-of-squares`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u`
2×	`+-commutative` `sum-log` `flip3--` `div-inv` `flip--`
1×	`cbrt-prod` `pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow1/3` `pow3` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `rem-cbrt-cube` `cbrt-unprod` `unswap-sqr`

Counts

4 → 228

Calls

4 calls:

70.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
83.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
565.0ms	(* (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))
547.0ms	(cbrt (* (* (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))) (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))))

series1.2s

Counts

4 → 12

Calls

4 calls:

203.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
210.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
234.0ms	(* (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))
574.0ms	(cbrt (* (* (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))) (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))))

simplify1.9s

Counts

240 → 240

Iterations

Iter	Nodes
done	5000
1	1164
0	324

prune954.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(- (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
0.0b	(* (/ x (+ x 1.0)) (/ x (+ x 1.0)))
0.2b	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

rewrite324.0ms

Algorithm

rewrite-expression-head

Rules

783×	`*-un-lft-identity`
704×	`times-frac`
611×	`add-sqr-sqrt`
429×	`add-cube-cbrt`
378×	`prod-diff`
98×	`associate-/r/`
86×	`distribute-lft-out--`
83×	`distribute-lft-out`
77×	`difference-of-squares`
51×	`swap-sqr`
49×	`div-inv`
39×	`associate-r` `associate-l`
30×	`add-cbrt-cube` `add-exp-log`
25×	`flip3-+` `flip3--` `flip-+` `flip--`
21×	`fma-neg`
18×	`pow1`
9×	`cbrt-undiv` `div-exp`
8×	`prod-exp` `cbrt-unprod` `unswap-sqr`
6×	`add-log-exp`
5×	`associate-/r*`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-/l*`
2×	`pow2` `frac-times` `pow-plus` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `frac-sub`

Counts

4 → 651

Calls

4 calls:

9.0ms	(/ 1.0 (- x 1.0))
114.0ms	(- (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
71.0ms	(* (/ x (+ x 1.0)) (/ x (+ x 1.0)))
72.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

series296.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ 1.0 (- x 1.0))
129.0ms	(- (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
63.0ms	(* (/ x (+ x 1.0)) (/ x (+ x 1.0)))
57.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

simplify1.7s

Counts

663 → 663

Iterations

Iter	Nodes
done	5001
1	1930
0	665

prune3.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes48.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample631.0ms

Algorithm

intervals

Results

490.0ms

8000×

body

valid