Details

sample108.0ms

Algorithm

intervals

Results

24.0ms	862×	body	80	nan
10.0ms	256×	body	80	valid

simplify50.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
2	9	7
done	9	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ 1.0 x) 1.0)
0.2b	(log (- (/ 1.0 x) 1.0))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
7×	`*-un-lft-identity`
6×	`log-prod`
4×	`add-log-exp` `difference-of-squares`
3×	`pow1` `add-exp-log` `add-cube-cbrt`
2×	`log-div` `flip3--` `times-frac` `add-cbrt-cube` `flip--` `distribute-lft-out--`
1×	`sub-neg` `diff-log` `rem-log-exp` `log-pow`

Counts

2 → 32

Calls

2 calls:

19.0ms	(- (/ 1.0 x) 1.0)
15.0ms	(log (- (/ 1.0 x) 1.0))

series129.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(- (/ 1.0 x) 1.0)
83.0ms	(log (- (/ 1.0 x) 1.0))

simplify2.7s

Counts

38 → 38

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	82	433
1	163	422
2	353	383
3	850	379
4	2455	373
done	5000	369

prune153.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (+ (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))) (log (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))))
0.0b	(log (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0)))
0.3b	(/ (sqrt 1.0) (sqrt x))
0.3b	(/ (sqrt 1.0) (sqrt x))

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

119×	`add-sqr-sqrt`
110×	`sqrt-prod`
88×	`times-frac`
73×	`*-un-lft-identity`
63×	`add-cube-cbrt`
32×	`log-prod`
20×	`difference-of-squares`
14×	`associate-+r+`
12×	`associate-/r` `associate-/l`
9×	`pow1` `add-exp-log`
8×	`add-cbrt-cube`
6×	`log-div`
5×	`log-pow` `distribute-lft-out`
4×	`associate-+l+` `add-log-exp`
2×	`cbrt-undiv` `associate-+l-` `associate-+r-` `sqrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `distribute-lft-out--`
1×	`+-commutative` `rem-log-exp` `sum-log`

Counts

4 → 184

Calls

4 calls:

101.0ms	(+ (log (+ (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))) (log (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))))
50.0ms	(log (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0)))
8.0ms	(/ (sqrt 1.0) (sqrt x))
9.0ms	(/ (sqrt 1.0) (sqrt x))

series1.0s

Counts

4 → 12

Calls

4 calls:

541.0ms	(+ (log (+ (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))) (log (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))))
267.0ms	(log (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0)))
110.0ms	(/ (sqrt 1.0) (sqrt x))
110.0ms	(/ (sqrt 1.0) (sqrt x))

simplify2.1s

Counts

196 → 196

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	209	3070
1	424	2753
2	933	2443
3	2241	2419
done	5000	2409

prune600.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(log (* (+ (sqrt (/ 1.0 x)) (sqrt 1.0)) (- (sqrt (/ 1.0 x)) (sqrt 1.0))))
0.4b	(sqrt (/ 1.0 x))
0.4b	(sqrt (/ 1.0 x))
0.5b	(* (+ (sqrt (/ 1.0 x)) (sqrt 1.0)) (- (sqrt (/ 1.0 x)) (sqrt 1.0)))

rewrite357.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
37×	`sqrt-prod`
28×	`*-un-lft-identity`
22×	`times-frac`
20×	`add-cube-cbrt`
11×	`pow1` `associate-r`
9×	`add-exp-log`
8×	`frac-times` `log-div`
6×	`flip3--` `flip3-+` `add-cbrt-cube` `flip--` `flip-+` `difference-of-squares`
5×	`associate-l`
4×	`rem-sqrt-square` `associate-r/` `associate-l/` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `sqrt-pow1` `pow1/2` `sqrt-div` `rem-log-exp` `pow-prod-down` `prod-exp` `log-pow` `div-inv` `distribute-lft-out` `distribute-lft-out--`
1×	`log-prod` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 110

Calls

4 calls:

60.0ms	(log (* (+ (sqrt (/ 1.0 x)) (sqrt 1.0)) (- (sqrt (/ 1.0 x)) (sqrt 1.0))))
7.0ms	(sqrt (/ 1.0 x))
7.0ms	(sqrt (/ 1.0 x))
273.0ms	(* (+ (sqrt (/ 1.0 x)) (sqrt 1.0)) (- (sqrt (/ 1.0 x)) (sqrt 1.0)))

series962.0ms

Counts

4 → 12

Calls

4 calls:

474.0ms	(log (* (+ (sqrt (/ 1.0 x)) (sqrt 1.0)) (- (sqrt (/ 1.0 x)) (sqrt 1.0))))
97.0ms	(sqrt (/ 1.0 x))
86.0ms	(sqrt (/ 1.0 x))
303.0ms	(* (+ (sqrt (/ 1.0 x)) (sqrt 1.0)) (- (sqrt (/ 1.0 x)) (sqrt 1.0)))

simplify1.3s

Counts

122 → 122

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	223	2272
1	534	1644
2	1767	1520
done	5000	1505

prune587.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes50.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	20
1	16	20
2	17	20
done	17	20

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.7s	23815×	body	80	nan
483.0ms	8000×	body	80	valid