Details

sample171.0ms

Algorithm

intervals

Results

75.0ms	104×	body	1280	valid
35.0ms	87×	body	640	valid
35.0ms	283×	body	80	nan
9.0ms	33×	body	320	valid
5.0ms	26×	body	160	valid
0.0ms	6×	body	80	valid

simplify43.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

43.0ms

(log (/ (- 1 eps) (+ 1 eps)))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.0b

localize12.0ms

Local error

Found 2 expressions with local error:

7.9b	(log (/ (- 1 eps) (+ 1 eps)))
0.0b	(/ (- 1 eps) (+ 1 eps))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
52×	`add-sqr-sqrt`
48×	`times-frac`
30×	`log-prod`
25×	`add-cube-cbrt`
18×	`difference-of-squares`
13×	`distribute-lft-out`
9×	`distribute-lft-out--`
7×	`add-exp-log`
6×	`associate-/l*`
4×	`associate-/r*` `add-cbrt-cube` `associate-/r/`
3×	`pow1`
2×	`flip3-+` `div-exp` `rem-log-exp` `flip-+` `insert-posit16` `div-inv` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3--` `div-sub` `log-pow` `flip--`

Counts

2 → 94

Calls

2 calls:

Slowest

25.0ms	(/ (- 1 eps) (+ 1 eps))
7.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series135.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

100.0ms	(log (/ (- 1 eps) (+ 1 eps)))
35.0ms	(/ (- 1 eps) (+ 1 eps))

simplify4.1s

Counts

102 → 100

Calls

102 calls:

Slowest

398.0ms	(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
233.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))
216.0ms	(log (/ (- 1 eps) (+ (pow 1 3) (pow eps 3))))
211.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
172.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))

prune805.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 2/3 eps)
0.1b	(* (* 2/3 eps) eps)
0.1b	(* -2/5 (pow eps 5))
0.0b	(* (+ (* (* 2/3 eps) eps) 2) eps)

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`add-exp-log`
16×	`associate-r`
15×	`add-cbrt-cube`
13×	`pow1`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-l`
8×	`prod-exp`
6×	`cbrt-unprod`
5×	`pow-prod-down` `unswap-sqr`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp`
2×	`associate-*l/` `sqr-pow`
1×	`pow-to-exp` `flip3-+` `pow-exp` `flip-+`

Counts

4 → 85

Calls

4 calls:

Slowest

93.0ms	(* (+ (* (* 2/3 eps) eps) 2) eps)
34.0ms	(* (* 2/3 eps) eps)
16.0ms	(* -2/5 (pow eps 5))
10.0ms	(* 2/3 eps)

series308.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

154.0ms	(* (+ (* (* 2/3 eps) eps) 2) eps)
75.0ms	(* -2/5 (pow eps 5))
48.0ms	(* (* 2/3 eps) eps)
31.0ms	(* 2/3 eps)

simplify3.8s

Counts

59 → 97

Calls

59 calls:

Slowest

576.0ms	(* (sqrt -2/5) (pow eps (/ 5 2)))
306.0ms	(* (- (* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps)) (* 2 2)) eps)
300.0ms	(* (+ (pow (* (* 2/3 eps) eps) 3) (pow 2 3)) eps)
260.0ms	(* (* (* -2/5 -2/5) -2/5) (* (* (pow eps 5) (pow eps 5)) (pow eps 5)))
251.0ms	(* (* (* (* 2/3 2/3) 2/3) (* (* eps eps) eps)) (* (* eps eps) eps))

prune857.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 2/3 eps)
0.3b	(* 2/3 eps)
0.3b	(* 2/3 eps)
0.1b	(* (* 2/3 eps) eps)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`associate-r`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-l`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`*-commutative` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`

Counts

4 → 76

Calls

4 calls:

Slowest

14.0ms	(* (* 2/3 eps) eps)
5.0ms	(* 2/3 eps)
5.0ms	(* 2/3 eps)
5.0ms	(* 2/3 eps)

series109.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

40.0ms	(* (* 2/3 eps) eps)
33.0ms	(* 2/3 eps)
21.0ms	(* 2/3 eps)
16.0ms	(* 2/3 eps)

simplify1.3s

Counts

47 → 88

Calls

47 calls:

Slowest

260.0ms	(* (* (* (* 2/3 2/3) 2/3) (* (* eps eps) eps)) (* (* eps eps) eps))
208.0ms	(* (* (* (* 2/3 eps) (* 2/3 eps)) (* 2/3 eps)) (* (* eps eps) eps))
207.0ms	(* (* (* 2/3 2/3) 2/3) (* (* eps eps) eps))
205.0ms	(* (* (* 2/3 2/3) 2/3) (* (* eps eps) eps))
181.0ms	(* (* (* 2/3 2/3) 2/3) (* (* eps eps) eps))

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

7.9b	(log (- 1 eps))
7.9b	(log (/ 1 (+ 1 eps)))
0.0b	(/ 1 (+ 1 eps))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
24×	`add-sqr-sqrt` `log-prod` `times-frac`
21×	`add-cube-cbrt`
13×	`add-exp-log`
7×	`pow1` `distribute-lft-out`
5×	`add-cbrt-cube` `rem-log-exp`
4×	`associate-/r*` `div-exp` `associate-/r/` `log-pow`
3×	`log-div` `insert-posit16` `associate-/l*` `add-log-exp`
2×	`rec-exp` `flip3-+` `1-exp` `flip-+` `div-inv` `pow-flip` `inv-pow` `difference-of-squares`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `log-rec` `flip--` `distribute-lft-out--`

Counts

3 → 91

Calls

3 calls:

Slowest

8.0ms	(/ 1 (+ 1 eps))
4.0ms	(log (/ 1 (+ 1 eps)))
4.0ms	(log (- 1 eps))

series69.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

31.0ms	(log (/ 1 (+ 1 eps)))
24.0ms	(log (- 1 eps))
14.0ms	(/ 1 (+ 1 eps))

simplify4.0s

Counts

78 → 100

Calls

78 calls:

Slowest

485.0ms	(/ (* (* 1 1) 1) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
441.0ms	(- (+ (* 1/2 (/ 1 (pow eps 2))) (+ (log (/ -1 eps)) (log -1))) (/ 1 eps))
362.0ms	(- (+ (/ 1 eps) (+ (* 1/2 (/ 1 (pow eps 2))) (log (/ -1 eps)))))
272.0ms	(- (+ (/ 1 eps) (/ 1 (pow eps 3))) (/ 1 (pow eps 2)))
265.0ms	(- (* 1/2 (pow eps 2)) (+ (* 1/3 (pow eps 3)) eps))

prune599.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes42.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch6.0ms

end0.0ms

sample6.1s

Algorithm

intervals

Results

3.4s	3393×	body	1280	valid
1.3s	2496×	body	640	valid
617.0ms	8114×	body	80	nan
406.0ms	1234×	body	320	valid
127.0ms	671×	body	160	valid
18.0ms	206×	body	80	valid