Details

sample183.0ms

Algorithm

intervals

Results

42.0ms	816×	body	80	nan
18.0ms	256×	body	80	valid

simplify7.0ms

Counts: 1 → 1

prune65.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

13.0ms	(log (- (/ 1.0 x) 1.0))
22.0ms	(- (/ 1.0 x) 1.0)

series306.0ms

Counts

2 → 6

Calls

2 calls:

193.0ms	(log (- (/ 1.0 x) 1.0))
113.0ms	(- (/ 1.0 x) 1.0)

simplify53.0ms

Counts: 38 → 38

prune243.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1.0 x) 1.0)
0.1b	(sqrt (- (/ 1.0 x) 1.0))
0.1b	(sqrt (- (/ 1.0 x) 1.0))
0.5b	(* (sqrt (- (/ 1.0 x) 1.0)) (sqrt (- (/ 1.0 x) 1.0)))

rewrite334.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
46×	`sqrt-prod`
34×	`*-un-lft-identity`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `difference-of-squares`
13×	`swap-sqr`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `associate-r` `associate-l` `flip--` `distribute-lft-out--`
7×	`times-frac`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`pow2` `sub-neg` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 119

Calls

4 calls:

31.0ms	(- (/ 1.0 x) 1.0)
28.0ms	(sqrt (- (/ 1.0 x) 1.0))
39.0ms	(sqrt (- (/ 1.0 x) 1.0))
226.0ms	(* (sqrt (- (/ 1.0 x) 1.0)) (sqrt (- (/ 1.0 x) 1.0)))

series689.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (/ 1.0 x) 1.0)
85.0ms	(sqrt (- (/ 1.0 x) 1.0))
63.0ms	(sqrt (- (/ 1.0 x) 1.0))
498.0ms	(* (sqrt (- (/ 1.0 x) 1.0)) (sqrt (- (/ 1.0 x) 1.0)))

simplify85.0ms

Counts: 131 → 131

prune412.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sqrt (- (/ 1.0 x) 1.0))) (cbrt (sqrt (- (/ 1.0 x) 1.0))))
0.5b	(cbrt (sqrt (- (/ 1.0 x) 1.0)))
0.5b	(cbrt (sqrt (- (/ 1.0 x) 1.0)))
0.5b	(cbrt (sqrt (- (/ 1.0 x) 1.0)))

rewrite219.0ms

Algorithm

rewrite-expression-head

Rules

83×	`cbrt-prod`
79×	`add-sqr-sqrt`
54×	`sqrt-prod`
42×	`*-un-lft-identity`
22×	`add-cube-cbrt`
18×	`cbrt-div` `sqrt-div`
16×	`swap-sqr`
14×	`difference-of-squares`
12×	`associate-r` `associate-l`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `unswap-sqr`
7×	`times-frac`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 132

Calls

4 calls:

165.0ms	(* (cbrt (sqrt (- (/ 1.0 x) 1.0))) (cbrt (sqrt (- (/ 1.0 x) 1.0))))
12.0ms	(cbrt (sqrt (- (/ 1.0 x) 1.0)))
12.0ms	(cbrt (sqrt (- (/ 1.0 x) 1.0)))
23.0ms	(cbrt (sqrt (- (/ 1.0 x) 1.0)))

series1.1s

Counts

4 → 12

Calls

4 calls:

329.0ms	(* (cbrt (sqrt (- (/ 1.0 x) 1.0))) (cbrt (sqrt (- (/ 1.0 x) 1.0))))
280.0ms	(cbrt (sqrt (- (/ 1.0 x) 1.0)))
253.0ms	(cbrt (sqrt (- (/ 1.0 x) 1.0)))
278.0ms	(cbrt (sqrt (- (/ 1.0 x) 1.0)))

simplify64.0ms

Counts: 144 → 144

prune832.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1.0 x) 1.0)
0.3b	(+ (* 2 (log (cbrt (- (/ 1.0 x) 1.0)))) (log (cbrt (- (/ 1.0 x) 1.0))))
0.5b	(cbrt (- (/ 1.0 x) 1.0))
0.5b	(cbrt (- (/ 1.0 x) 1.0))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
30×	`cbrt-prod`
27×	`log-prod`
25×	`*-un-lft-identity`
18×	`associate-+l+`
12×	`add-cube-cbrt` `difference-of-squares`
9×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
7×	`add-log-exp`
6×	`cbrt-div` `times-frac` `distribute-lft-out--`
5×	`pow1`
4×	`add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
2×	`associate-+r-` `log-div` `distribute-rgt-out` `pow1/3`
1×	`+-commutative` `sub-neg` `distribute-lft1-in` `flip3-+` `diff-log` `sum-log` `log-pow` `flip-+`

Counts

4 → 90

Calls

4 calls:

29.0ms	(- (/ 1.0 x) 1.0)
100.0ms	(+ (* 2 (log (cbrt (- (/ 1.0 x) 1.0)))) (log (cbrt (- (/ 1.0 x) 1.0))))
21.0ms	(cbrt (- (/ 1.0 x) 1.0))
12.0ms	(cbrt (- (/ 1.0 x) 1.0))

series781.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(- (/ 1.0 x) 1.0)
370.0ms	(+ (* 2 (log (cbrt (- (/ 1.0 x) 1.0)))) (log (cbrt (- (/ 1.0 x) 1.0))))
153.0ms	(cbrt (- (/ 1.0 x) 1.0))
220.0ms	(cbrt (- (/ 1.0 x) 1.0))

simplify111.0ms

Counts: 102 → 102

prune471.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes95.0ms

Accuracy

2% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.5s	23585×	body	80	nan
516.0ms	8000×	body	80	valid