Details

sample29.0ms

Algorithm

intervals

Results

15.0ms

256×

body

valid

simplify13.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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))

rewrite139.0ms

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-exp-log` `add-cbrt-cube`
6×	`associate-/l*` `distribute-lft-out--`
5×	`add-log-exp`
4×	`associate-/r/` `difference-of-squares`
3×	`pow1`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`
1×	`+-commutative` `flip3--` `frac-add` `sum-log` `flip--`

Counts

3 → 87

Calls

3 calls:

11.0ms	(/ x (+ x 1.0))
103.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
22.0ms	(/ 1.0 (- x 1.0))

series258.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ x (+ x 1.0))
167.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
38.0ms	(/ 1.0 (- x 1.0))

simplify2.1s

Counts

96 → 96

Iterations

Useful iterations: 3 (857.0ms)

Iter	Nodes	Cost
0	169	1135
1	378	1064
2	927	998
3	1985	996
done	5001	996

prune259.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x 1.0))
0.0b	(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ x (+ x 1.0)))
0.1b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
15.8b	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
37×	`times-frac`
36×	`add-sqr-sqrt`
31×	`add-cube-cbrt`
18×	`associate-l`
13×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/r*`
7×	`difference-of-squares`
6×	`pow1` `flip3-+` `associate-/r/` `flip-+` `associate-/l*` `add-log-exp`
5×	`frac-add` `distribute-lft-out`
4×	`frac-times` `associate-r/` `associate-r*`
3×	`cbrt-undiv` `div-exp` `div-inv`
2×	`distribute-rgt-in` `associate-+l+` `flip3--` `frac-2neg` `distribute-lft-in` `associate-*l/` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `pow-prod-down` `sum-log` `*-commutative`

Counts

4 → 128

Calls

4 calls:

20.0ms	(/ x (+ x 1.0))
48.0ms	(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ x (+ x 1.0)))
18.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
61.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

series441.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ x (+ x 1.0))
277.0ms	(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ x (+ x 1.0)))
64.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
61.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

simplify2.6s

Counts

140 → 140

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	251	2406
1	770	2288
2	2671	2114
done	5001	1790

prune530.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (log (exp (/ x (+ x 1.0)))))
0.1b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
4.6b	(log (exp (/ x (+ x 1.0))))
15.8b	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

rewrite297.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
37×	`add-sqr-sqrt` `times-frac`
32×	`add-cube-cbrt`
19×	`log-pow`
18×	`exp-prod` `associate-l`
11×	`add-exp-log` `add-cbrt-cube`
7×	`pow1` `difference-of-squares`
6×	`log-prod` `associate-/r/`
5×	`add-log-exp`
4×	`flip3-+` `associate-r` `associate-/r*` `flip-+` `distribute-lft-out`
3×	`associate-+r+` `div-inv` `associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-times` `associate-+l+` `flip3--` `distribute-lft-in` `associate-*r/` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `rem-log-exp` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative`

Counts

4 → 123

Calls

4 calls:

156.0ms	(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (log (exp (/ x (+ x 1.0)))))
28.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
48.0ms	(log (exp (/ x (+ x 1.0))))
56.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

series377.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (log (exp (/ x (+ x 1.0)))))
68.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
36.0ms	(log (exp (/ x (+ x 1.0))))
61.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

simplify2.4s

Counts

135 → 135

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	258	2277
1	695	2074
2	2128	1894
done	5001	1570

prune490.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes11.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	13	19
done	13	19

end0.0ms

sample682.0ms

Algorithm

intervals

Results

480.0ms

8000×

body

valid