Details

sample26.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	11
0	7

prune2.0ms

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

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
35×	`times-frac`
30×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`associate-/r*`
7×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/l*` `distribute-lft-out--`
5×	`add-log-exp`
4×	`associate-/r/` `difference-of-squares`
3×	`pow1`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv`
1×	`+-commutative` `sum-log` `flip3--` `frac-add` `flip--`

Counts

3 → 87

Calls

3 calls:

17.0ms	(/ x (+ x 1.0))
114.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
9.0ms	(/ 1.0 (- x 1.0))

series309.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ x (+ x 1.0))
203.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
54.0ms	(/ 1.0 (- x 1.0))

simplify861.0ms

Counts

96 → 96

Iterations

Iter	Nodes
done	5001
2	1643
1	411
0	169

prune309.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x 1.0))
0.0b	(+ (log (exp (/ 1.0 (- x 1.0)))) (/ x (+ x 1.0)))
0.0b	(/ 1.0 (- x 1.0))
3.0b	(log (exp (/ 1.0 (- x 1.0))))

rewrite221.0ms

Algorithm

rewrite-expression-head

Rules

59×	`*-un-lft-identity`
48×	`add-sqr-sqrt`
42×	`times-frac`
34×	`add-cube-cbrt`
23×	`log-pow`
21×	`exp-prod`
9×	`associate-/r*`
8×	`add-cbrt-cube` `add-exp-log`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1` `log-prod` `associate-/r/` `distribute-lft-out` `associate-/l*`
5×	`add-log-exp`
3×	`associate-+l+` `div-inv`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-exp` `flip-+` `flip--`
1×	`+-commutative` `sum-log` `rem-log-exp`

Counts

4 → 119

Calls

4 calls:

9.0ms	(/ x (+ x 1.0))
162.0ms	(+ (log (exp (/ 1.0 (- x 1.0)))) (/ x (+ x 1.0)))
15.0ms	(/ 1.0 (- x 1.0))
31.0ms	(log (exp (/ 1.0 (- x 1.0))))

series363.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(/ x (+ x 1.0))
222.0ms	(+ (log (exp (/ 1.0 (- x 1.0)))) (/ x (+ x 1.0)))
46.0ms	(/ 1.0 (- x 1.0))
45.0ms	(log (exp (/ 1.0 (- x 1.0))))

simplify910.0ms

Counts

131 → 131

Iterations

Iter	Nodes
done	5000
2	1665
1	457
0	218

prune566.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ x (+ x 1.0)))
0.0b	(/ 1.0 (- x 1.0))
3.0b	(log (exp (/ 1.0 (- x 1.0))))
3.5b	(log (exp (/ x (+ x 1.0))))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

67×	`*-un-lft-identity`
57×	`exp-prod`
55×	`add-sqr-sqrt`
54×	`times-frac`
41×	`log-pow` `add-cube-cbrt`
8×	`associate-/r/`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1` `log-prod` `add-cbrt-cube` `add-exp-log` `distribute-lft-out`
5×	`associate-/r*` `add-log-exp`
4×	`div-inv`
3×	`associate-/l*`
2×	`flip3-+` `flip3--` `rem-log-exp` `flip-+` `flip--`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `rem-exp-log`

Counts

4 → 126

Calls

4 calls:

25.0ms	(exp (/ x (+ x 1.0)))
18.0ms	(/ 1.0 (- x 1.0))
35.0ms	(log (exp (/ 1.0 (- x 1.0))))
39.0ms	(log (exp (/ x (+ x 1.0))))

series179.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(exp (/ x (+ x 1.0)))
34.0ms	(/ 1.0 (- x 1.0))
37.0ms	(log (exp (/ 1.0 (- x 1.0))))
43.0ms	(log (exp (/ x (+ x 1.0))))

simplify611.0ms

Counts

138 → 138

Iterations

Iter	Nodes
done	5000
2	1149
1	384
0	216

prune803.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (/ 1.0 (- x 1.0)))
0.4b	(cbrt (/ 1.0 (- x 1.0)))
0.4b	(cbrt (/ 1.0 (- x 1.0)))
3.5b	(log (exp (/ x (+ x 1.0))))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
63×	`cbrt-prod`
58×	`add-sqr-sqrt`
57×	`times-frac`
40×	`add-cube-cbrt`
19×	`log-pow`
18×	`exp-prod`
9×	`distribute-lft-out--` `difference-of-squares`
8×	`associate-/r/`
5×	`pow1`
4×	`add-cbrt-cube` `add-exp-log` `div-inv` `add-log-exp`
3×	`cbrt-div` `log-prod` `flip3--` `pow1/3` `flip--` `distribute-lft-out`
1×	`flip3-+` `rem-log-exp` `flip-+`

Counts

4 → 120

Calls

4 calls:

10.0ms	(cbrt (/ 1.0 (- x 1.0)))
9.0ms	(cbrt (/ 1.0 (- x 1.0)))
10.0ms	(cbrt (/ 1.0 (- x 1.0)))
31.0ms	(log (exp (/ x (+ x 1.0))))

series618.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(cbrt (/ 1.0 (- x 1.0)))
164.0ms	(cbrt (/ 1.0 (- x 1.0)))
190.0ms	(cbrt (/ 1.0 (- x 1.0)))
63.0ms	(log (exp (/ x (+ x 1.0))))

simplify3.3s

Counts

132 → 132

Iterations

Iter	Nodes
done	5000
3	4798
2	1064
1	383
0	212

prune798.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	13
1	13
0	11

end0.0ms

sample620.0ms

Algorithm

intervals

Results

433.0ms

8000×

body

valid