Details

sample177.0ms

Algorithm

intervals

Results

99.0ms	120×	body	1280	valid
33.0ms	72×	body	640	valid
17.0ms	257×	body	80	nan
10.0ms	35×	body	320	valid
4.0ms	25×	body	160	valid
0.0ms	4×	body	80	valid

simplify46.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

46.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize17.0ms

Local error

Found 2 expressions with local error:

6.7b	(log (/ (- 1 eps) (+ 1 eps)))
0.0b	(/ (- 1 eps) (+ 1 eps))

rewrite37.0ms

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×	`expm1-log1p-u` `flip3-+` `div-exp` `rem-log-exp` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3--` `div-sub` `log-pow` `flip--`

Counts

2 → 98

Calls

2 calls:

Slowest

28.0ms	(/ (- 1 eps) (+ 1 eps))
6.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series126.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

95.0ms	(log (/ (- 1 eps) (+ 1 eps)))
31.0ms	(/ (- 1 eps) (+ 1 eps))

simplify4.1s

Counts

102 → 104

Calls

102 calls:

Slowest

460.0ms	(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
249.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))
211.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
206.0ms	(log (/ (- 1 eps) (+ (pow 1 3) (pow eps 3))))
202.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))

prune890.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`pow1` `add-cbrt-cube` `add-exp-log`
11×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-r`
7×	`associate-l`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`sub-neg` `associate-*r/` `unswap-sqr`
1×	`flip3--` `fma-udef` `flip--`

Counts

4 → 86

Calls

4 calls:

Slowest

71.0ms	(* eps (- (* (* eps -2/3) eps) 2))
17.0ms	(* (* eps -2/3) eps)
5.0ms	(* eps -2/3)
0.0ms	(fma (pow eps 5) -2/5 (* eps (- (* (* eps -2/3) eps) 2)))

series250.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

111.0ms	(* eps (- (* (* eps -2/3) eps) 2))
76.0ms	(fma (pow eps 5) -2/5 (* eps (- (* (* eps -2/3) eps) 2)))
45.0ms	(* (* eps -2/3) eps)
16.0ms	(* eps -2/3)

simplify3.7s

Counts

51 → 98

Calls

51 calls:

Slowest

591.0ms	(* (* (* (* eps -2/3) (* eps -2/3)) (* eps -2/3)) (* (* eps eps) eps))
269.0ms	(- (+ (* 2/3 (pow eps 3)) (* 2 eps)))
266.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))
264.0ms	(+ (* (* (* eps -2/3) eps) (* (* eps -2/3) eps)) (+ (* 2 2) (* (* (* eps -2/3) eps) 2)))
261.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2 eps) (* 2/5 (pow eps 5)))))

prune793.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

6.8b	(log (+ 1 eps))
6.8b	(log (- 1 eps))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

10×	`log-prod`
9×	`*-un-lft-identity`
7×	`add-sqr-sqrt`
4×	`pow1` `log-div` `add-exp-log` `add-cube-cbrt`
3×	`log1p-def`
2×	`expm1-log1p-u` `add-cbrt-cube` `rem-log-exp` `log-pow` `insert-posit16` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
1×	`sub-neg` `flip3-+` `flip3--` `flip-+` `flip--` `distribute-lft-out` `distribute-lft-out--`

Counts

2 → 41

Calls

2 calls:

Slowest

13.0ms	(log (- 1 eps))
5.0ms	(log (+ 1 eps))

series69.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

40.0ms	(log (+ 1 eps))
29.0ms	(log (- 1 eps))

simplify2.1s

Counts

24 → 47

Calls

24 calls:

Slowest

433.0ms	(- (+ (/ 1 eps) (+ (* 1/2 (/ 1 (pow eps 2))) (log (/ -1 eps)))))
353.0ms	(- (+ (/ 1 eps) (log -1)) (+ (* 1/2 (/ 1 (pow eps 2))) (log (/ -1 eps))))
315.0ms	(- (+ (* 1/3 (pow eps 3)) eps) (* 1/2 (pow eps 2)))
307.0ms	(- (log -1) (+ (/ 1 eps) (+ (* 1/2 (/ 1 (pow eps 2))) (log (/ 1 eps)))))
197.0ms	(- (+ (* 1/2 (pow eps 2)) (+ (* 1/3 (pow eps 3)) eps)))

prune319.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes16.0ms

Accuracy

0% (0.2b remaining)

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

bsearch2.0ms

end0.0ms

sample6.1s

Algorithm

intervals

Results

3.1s	3397×	body	1280	valid
1.3s	2540×	body	640	valid
1.0s	7749×	body	80	nan
371.0ms	1241×	body	320	valid
120.0ms	645×	body	160	valid
15.0ms	177×	body	80	valid