Details

sample173.0ms

Algorithm

intervals

Results

81.0ms	111×	body	1280	valid
38.0ms	82×	body	640	valid
18.0ms	284×	body	80	nan
12.0ms	22×	body	160	valid
9.0ms	34×	body	320	valid
1.0ms	7×	body	80	valid

simplify32.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

32.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize13.0ms

Local error

Found 2 expressions with local error:

5.3b	(log (/ (- 1 eps) (+ 1 eps)))
0.0b	(/ (- 1 eps) (+ 1 eps))

rewrite66.0ms

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

32.0ms	(/ (- 1 eps) (+ 1 eps))
31.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series114.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

87.0ms	(log (/ (- 1 eps) (+ 1 eps)))
27.0ms	(/ (- 1 eps) (+ 1 eps))

simplify4.2s

Counts

102 → 104

Calls

102 calls:

Slowest

442.0ms	(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
269.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))
222.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
193.0ms	(log (/ (- 1 eps) (+ (pow 1 3) (pow eps 3))))
191.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))

prune1.3s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

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

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`*-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`
3×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `associate-*r/` `unswap-sqr`
1×	`flip3--` `flip--`

Counts

3 → 75

Calls

3 calls:

Slowest

112.0ms	(* eps (- (* (* eps -2/3) eps) 2))
15.0ms	(* (* eps -2/3) eps)
5.0ms	(* eps -2/3)

series207.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

126.0ms	(* eps (- (* (* eps -2/3) eps) 2))
52.0ms	(* (* eps -2/3) eps)
28.0ms	(* eps -2/3)

simplify3.1s

Counts

48 → 84

Calls

48 calls:

Slowest

582.0ms	(* (* (* (* eps -2/3) (* eps -2/3)) (* eps -2/3)) (* (* eps eps) eps))
315.0ms	(- (+ (* 2/3 (pow eps 3)) (* 2 eps)))
301.0ms	(- (+ (* 2/3 (pow eps 3)) (* 2 eps)))
287.0ms	(+ (* (* (* eps -2/3) eps) (* (* eps -2/3) eps)) (+ (* 2 2) (* (* (* eps -2/3) eps) 2)))
275.0ms	(- (+ (* 2/3 (pow eps 3)) (* 2 eps)))

prune752.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 3 expressions with local error:

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

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt` `associate-r`
7×	`*-un-lft-identity` `add-cube-cbrt`
5×	`associate-l`
3×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`unswap-sqr`

Counts

3 → 66

Calls

3 calls:

Slowest

63.0ms	(* (* (* eps -2/3) eps) eps)
16.0ms	(* (* eps -2/3) eps)
5.0ms	(* eps -2/3)

series146.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

77.0ms	(* (* (* eps -2/3) eps) eps)
49.0ms	(* (* eps -2/3) eps)
20.0ms	(* eps -2/3)

simplify2.8s

Counts

38 → 75

Calls

38 calls:

Slowest

624.0ms	(* (* (* (* eps -2/3) (* eps -2/3)) (* eps -2/3)) (* (* eps eps) eps))
492.0ms	(* (* (* (* (* eps -2/3) (* eps -2/3)) (* eps -2/3)) (* (* eps eps) eps)) (* (* eps eps) eps))
412.0ms	(* (* (* (* (* eps eps) eps) (* (* -2/3 -2/3) -2/3)) (* (* eps eps) eps)) (* (* eps eps) eps))
409.0ms	(* (* (* (* (* eps -2/3) eps) (* (* eps -2/3) eps)) (* (* eps -2/3) eps)) (* (* eps eps) eps))
155.0ms	(* (* (* (* eps eps) eps) (* (* -2/3 -2/3) -2/3)) (* (* eps eps) eps))

prune832.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

5.3b	(log (- 1 eps))
5.3b	(log (/ 1 (+ 1 eps)))
0.0b	(/ 1 (+ 1 eps))
0.0b	(+ (log (- 1 eps)) (log (/ 1 (+ 1 eps))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
48×	`log-prod`
38×	`add-sqr-sqrt`
36×	`times-frac`
32×	`add-cube-cbrt`
18×	`associate-+r+`
14×	`add-exp-log` `distribute-lft-out`
13×	`pow1`
9×	`log-pow`
6×	`log-div` `associate-+l+` `add-cbrt-cube` `associate-/r/`
5×	`rem-log-exp`
4×	`expm1-log1p-u` `associate-/r*` `fma-def` `flip3-+` `div-exp` `flip-+` `insert-posit16` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
3×	`log-rec` `div-inv` `associate-/l*`
2×	`rec-exp` `log1p-def` `flip3--` `1-exp` `associate-+l-` `pow-flip` `flip--` `distribute-lft-out--` `inv-pow`
1×	`cbrt-undiv` `+-commutative` `clear-num` `associate-+r-` `sum-log` `sub-neg` `frac-2neg` `unsub-neg`

Counts

4 → 150

Calls

4 calls:

Slowest

14.0ms	(+ (log (- 1 eps)) (log (/ 1 (+ 1 eps))))
9.0ms	(log (- 1 eps))
8.0ms	(/ 1 (+ 1 eps))
4.0ms	(log (/ 1 (+ 1 eps)))

series274.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

156.0ms	(+ (log (- 1 eps)) (log (/ 1 (+ 1 eps))))
52.0ms	(log (/ 1 (+ 1 eps)))
43.0ms	(log (- 1 eps))
23.0ms	(/ 1 (+ 1 eps))

simplify6.1s

Counts

119 → 162

Calls

119 calls:

Slowest

648.0ms	(/ (* (* 1 1) 1) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
426.0ms	(- (* 1/2 (pow eps 2)) (+ (* 1/3 (pow eps 3)) eps))
379.0ms	(- (+ (/ 1 eps) (+ (* 1/2 (/ 1 (pow eps 2))) (log (/ -1 eps)))))
342.0ms	(- (+ (* 1/2 (/ 1 (pow eps 2))) (+ (log (/ -1 eps)) (log -1))) (/ 1 eps))
319.0ms	(- (log -1) (+ (/ 1 eps) (+ (* 1/2 (/ 1 (pow eps 2))) (log (/ 1 eps)))))

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.2b remaining)

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

bsearch4.0ms

end0.0ms

sample6.3s

Algorithm

intervals

Results

3.0s	3400×	body	1280	valid
1.4s	2550×	body	640	valid
772.0ms	1194×	body	320	valid
721.0ms	8133×	body	80	nan
123.0ms	638×	body	160	valid
19.0ms	218×	body	80	valid