Details

sample204.0ms

Algorithm

intervals

Results

106.0ms	120×	body	1280	valid
41.0ms	81×	body	640	valid
29.0ms	257×	body	80	nan
10.0ms	31×	body	320	valid
3.0ms	15×	body	160	valid
1.0ms	9×	body	80	valid

simplify24.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.9b

localize10.0ms

Local error

Found 2 expressions with local error:

3.8b	(log (/ (- 1 eps) (+ 1 eps)))
0.0b	(/ (- 1 eps) (+ 1 eps))

rewrite62.0ms

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

47.0ms	(/ (- 1 eps) (+ 1 eps))
12.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series109.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

76.0ms	(log (/ (- 1 eps) (+ 1 eps)))
33.0ms	(/ (- 1 eps) (+ 1 eps))

simplify876.0ms

Counts: 100 → 100

prune909.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b	(* -2/3 (* (* eps eps) eps))
0.1b	(* -2/5 (pow eps 5))
0.0b	(* (* eps eps) eps)
0.0b	(+ (* -2/5 (pow eps 5)) (+ (* eps -2) (* -2/3 (* (* eps eps) eps))))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1`
23×	`add-exp-log`
20×	`add-cbrt-cube`
15×	`add-sqr-sqrt`
12×	`prod-exp`
11×	`associate-r`
10×	`cbrt-unprod`
9×	`*-un-lft-identity` `pow-prod-down` `add-cube-cbrt` `add-log-exp`
7×	`associate-l`
6×	`pow-plus` `pow-prod-up`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`sum-log` `*-commutative`
2×	`pow2` `pow-sqr` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `associate-+r+` `flip3-+` `pow3` `pow-exp` `flip-+`

Counts

4 → 91

Calls

4 calls:

Slowest

74.0ms	(* -2/3 (* (* eps eps) eps))
33.0ms	(+ (* -2/5 (pow eps 5)) (+ (* eps -2) (* -2/3 (* (* eps eps) eps))))
15.0ms	(* (* eps eps) eps)
9.0ms	(* -2/5 (pow eps 5))

series273.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

84.0ms	(+ (* -2/5 (pow eps 5)) (+ (* eps -2) (* -2/3 (* (* eps eps) eps))))
78.0ms	(* -2/3 (* (* eps eps) eps))
64.0ms	(* -2/5 (pow eps 5))
47.0ms	(* (* eps eps) eps)

simplify2.4s

Counts: 103 → 103

prune862.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

3.8b	(log (/ 1 (+ 1 eps)))
3.6b	(log (- 1 eps))
0.0b	(/ 1 (+ 1 eps))
0.0b	(+ (log (- 1 eps)) (log (/ 1 (+ 1 eps))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

61×	`*-un-lft-identity`
48×	`log-prod`
37×	`add-sqr-sqrt`
36×	`times-frac`
31×	`add-cube-cbrt`
18×	`associate-+r+`
14×	`add-exp-log` `distribute-lft-out`
12×	`pow1`
8×	`log-pow`
6×	`log-div` `associate-+l+` `add-cbrt-cube` `associate-/r/`
5×	`rem-log-exp`
4×	`associate-/r*` `flip3-+` `div-exp` `flip-+` `insert-posit16` `add-log-exp` `difference-of-squares`
3×	`log-rec` `div-inv` `associate-/l*`
2×	`rec-exp` `flip3--` `1-exp` `associate-+l-` `pow-flip` `flip--` `distribute-lft-out--` `inv-pow`
1×	`cbrt-undiv` `+-commutative` `clear-num` `associate-+r-` `sum-log` `frac-2neg` `unsub-neg`

Counts

4 → 136

Calls

4 calls:

Slowest

26.0ms	(+ (log (- 1 eps)) (log (/ 1 (+ 1 eps))))
16.0ms	(/ 1 (+ 1 eps))
8.0ms	(log (/ 1 (+ 1 eps)))
7.0ms	(log (- 1 eps))

series247.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

152.0ms	(+ (log (- 1 eps)) (log (/ 1 (+ 1 eps))))
44.0ms	(log (/ 1 (+ 1 eps)))
34.0ms	(log (- 1 eps))
18.0ms	(/ 1 (+ 1 eps))

simplify994.0ms

Counts: 148 → 148

prune926.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

3.8b	(log (+ eps 1))
3.8b	(log (+ eps 1))
2.8b	(log (- (* 1 1) (* eps eps)))
0.0b	(- (log (- (* 1 1) (* eps eps))) (+ (log (+ eps 1)) (log (+ eps 1))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
20×	`pow1`
16×	`log-prod` `log-pow`
12×	`log-div`
10×	`add-sqr-sqrt` `distribute-lft-out` `distribute-lft-out--`
8×	`add-cube-cbrt`
7×	`add-exp-log`
5×	`add-log-exp`
4×	`flip3-+` `add-cbrt-cube` `associate--l+` `flip-+` `insert-posit16` `associate--r-`
3×	`flip3--` `rem-log-exp` `flip--` `difference-of-squares`
2×	`associate--l-` `associate-+r-` `diff-log` `associate-+l-`
1×	`sum-log` `sub-neg` `associate--r+`

Counts

4 → 84

Calls

4 calls:

Slowest

28.0ms	(- (log (- (* 1 1) (* eps eps))) (+ (log (+ eps 1)) (log (+ eps 1))))
18.0ms	(log (- (* 1 1) (* eps eps)))
3.0ms	(log (+ eps 1))
3.0ms	(log (+ eps 1))

series399.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

184.0ms	(- (log (- (* 1 1) (* eps eps))) (+ (log (+ eps 1)) (log (+ eps 1))))
155.0ms	(log (- (* 1 1) (* eps eps)))
35.0ms	(log (+ eps 1))
26.0ms	(log (+ eps 1))

simplify970.0ms

Counts: 96 → 96

prune589.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (0.2b remaining)

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

bsearch4.0ms

end0.0ms

sample6.0s

Algorithm

intervals

Results

3.3s	3427×	body	1280	valid
1.2s	2522×	body	640	valid
617.0ms	7913×	body	80	nan
407.0ms	1263×	body	320	valid
105.0ms	582×	body	160	valid
18.0ms	206×	body	80	valid