Details

sample189.0ms

Algorithm

intervals

Results

88.0ms	103×	body	1280	valid
45.0ms	80×	body	640	valid
21.0ms	293×	body	80	nan
15.0ms	47×	body	320	valid
4.0ms	18×	body	160	valid
1.0ms	8×	body	80	valid

simplify69.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

69.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.2b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

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

17.0ms	(/ (- 1 eps) (+ 1 eps))
6.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series138.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

107.0ms	(log (/ (- 1 eps) (+ 1 eps)))
31.0ms	(/ (- 1 eps) (+ 1 eps))

simplify4.0s

Counts

102 → 104

Calls

102 calls:

Slowest

525.0ms	(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
259.0ms	(log (/ (- 1 eps) (+ (pow 1 3) (pow eps 3))))
241.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))
239.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
238.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))

prune940.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

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)))

rewrite102.0ms

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

65.0ms	(* eps (- (* (* eps -2/3) eps) 2))
23.0ms	(* (* eps -2/3) eps)
11.0ms	(* eps -2/3)
0.0ms	(fma (pow eps 5) -2/5 (* eps (- (* (* eps -2/3) eps) 2)))

series302.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

147.0ms	(* eps (- (* (* eps -2/3) eps) 2))
87.0ms	(fma (pow eps 5) -2/5 (* eps (- (* (* eps -2/3) eps) 2)))
41.0ms	(* (* eps -2/3) eps)
27.0ms	(* eps -2/3)

simplify3.5s

Counts

51 → 98

Calls

51 calls:

Slowest

646.0ms	(* (* (* (* eps -2/3) (* eps -2/3)) (* eps -2/3)) (* (* eps eps) eps))
283.0ms	(+ (* (* (* eps -2/3) eps) (* (* eps -2/3) eps)) (+ (* 2 2) (* (* (* eps -2/3) eps) 2)))
274.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2 eps) (* 2/5 (pow eps 5)))))
269.0ms	(- (+ (* 2/3 (pow eps 3)) (* 2 eps)))
264.0ms	(- (+ (* 2/3 (pow eps 3)) (* 2 eps)))

prune924.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize72.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
12×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-exp-log` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

Slowest

6.0ms	(* eps -2/3)
6.0ms	(* eps -2/3)
5.0ms	(* eps -2/3)
5.0ms	(* eps -2/3)

series106.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

33.0ms	(* eps -2/3)
28.0ms	(* eps -2/3)
25.0ms	(* eps -2/3)
20.0ms	(* eps -2/3)

simplify842.0ms

Counts

48 → 96

Calls

48 calls:

Slowest

158.0ms	(* (* (* eps eps) eps) (* (* -2/3 -2/3) -2/3))
154.0ms	(* (* (* eps eps) eps) (* (* -2/3 -2/3) -2/3))
152.0ms	(* (* (* eps eps) eps) (* (* -2/3 -2/3) -2/3))
140.0ms	(* (* (* eps eps) eps) (* (* -2/3 -2/3) -2/3))
10.0ms	(* (sqrt eps) (sqrt -2/3))

prune1.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

5.3b	(log (/ (- 1 eps) (+ 1 eps)))
5.3b	(log (/ (- 1 eps) (+ 1 eps)))
5.3b	(log (/ (- 1 eps) (+ 1 eps)))
0.1b	(* (cbrt (log (/ (- 1 eps) (+ 1 eps)))) (cbrt (log (/ (- 1 eps) (+ 1 eps)))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

119×	`*-un-lft-identity`
90×	`log-prod`
89×	`add-sqr-sqrt`
72×	`times-frac`
45×	`add-cube-cbrt`
24×	`cbrt-prod` `difference-of-squares`
20×	`pow1`
18×	`distribute-lft-out`
15×	`add-exp-log`
12×	`distribute-lft-out--`
9×	`swap-sqr` `log-pow`
7×	`associate-r` `associate-l`
6×	`pow1/3` `rem-log-exp` `associate-/r/`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`log-div` `flip3-+` `div-exp` `flip-+` `div-inv`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 180

Calls

4 calls:

Slowest

19.0ms	(* (cbrt (log (/ (- 1 eps) (+ 1 eps)))) (cbrt (log (/ (- 1 eps) (+ 1 eps)))))
11.0ms	(log (/ (- 1 eps) (+ 1 eps)))
7.0ms	(log (/ (- 1 eps) (+ 1 eps)))
6.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series648.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

330.0ms	(* (cbrt (log (/ (- 1 eps) (+ 1 eps)))) (cbrt (log (/ (- 1 eps) (+ 1 eps)))))
119.0ms	(log (/ (- 1 eps) (+ 1 eps)))
109.0ms	(log (/ (- 1 eps) (+ 1 eps)))
90.0ms	(log (/ (- 1 eps) (+ 1 eps)))

simplify9.1s

Counts

163 → 192

Calls

163 calls:

Slowest

284.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))
254.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
246.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
246.0ms	(+ (exp (* 1/3 (+ (* 2 (log eps)) (log 4)))) (+ (* 2/9 (* (exp (* 1/3 (+ (* 2 (log eps)) (log 4)))) (pow eps 2))) (* 49/405 (* (exp (* 1/3 (+ (* 2 (log eps)) (log 4)))) (pow eps 4)))))
243.0ms	(log (/ (- 1 eps) (+ (pow 1 3) (pow eps 3))))

prune1.9s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes124.0ms

Accuracy

0% (0.2b remaining)

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

bsearch6.0ms

end0.0ms

sample6.2s

Algorithm

intervals

Results

2.9s	3490×	body	1280	valid
1.4s	2492×	body	640	valid
752.0ms	8001×	body	80	nan
551.0ms	609×	body	160	valid
400.0ms	1203×	body	320	valid
18.0ms	206×	body	80	valid