Details

sample142.0ms

Algorithm

intervals

Results

58.0ms	85×	body	1280	valid
38.0ms	92×	body	640	valid
19.0ms	240×	body	80	nan
11.0ms	44×	body	320	valid
4.0ms	28×	body	160	valid
0.0ms	7×	body	80	valid

simplify21.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

21.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.1b

localize11.0ms

Local error

Found 2 expressions with local error:

6.9b	(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

19.0ms	(log (/ (- 1 eps) (+ 1 eps)))
14.0ms	(/ (- 1 eps) (+ 1 eps))

series92.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

69.0ms	(log (/ (- 1 eps) (+ 1 eps)))
22.0ms	(/ (- 1 eps) (+ 1 eps))

simplify3.7s

Counts

102 → 100

Calls

102 calls:

Slowest

387.0ms	(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
224.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
205.0ms	(log (/ (- 1 eps) (+ (pow 1 3) (pow eps 3))))
198.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
174.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))

prune839.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b	(* 2/3 eps)
0.2b	(* (* 2/3 eps) eps)
0.1b	(* -2/5 (pow eps 5))
0.0b	(* (+ (* (* 2/3 eps) eps) 2) eps)

rewrite108.0ms

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

63.0ms	(* (+ (* (* 2/3 eps) eps) 2) eps)
22.0ms	(* (* 2/3 eps) eps)
15.0ms	(* 2/3 eps)
8.0ms	(* -2/5 (pow eps 5))

series221.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

116.0ms	(* (+ (* (* 2/3 eps) eps) 2) eps)
62.0ms	(* -2/5 (pow eps 5))
27.0ms	(* (* 2/3 eps) eps)
16.0ms	(* 2/3 eps)

simplify3.4s

Counts

59 → 97

Calls

59 calls:

Slowest

378.0ms	(* (- (* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps)) (* 2 2)) eps)
311.0ms	(* (+ (pow (* (* 2/3 eps) eps) 3) (pow 2 3)) eps)
288.0ms	(* (* (* -2/5 -2/5) -2/5) (* (* (pow eps 5) (pow eps 5)) (pow eps 5)))
231.0ms	(* (* (* (+ (* (* 2/3 eps) eps) 2) (+ (* (* 2/3 eps) eps) 2)) (+ (* (* 2/3 eps) eps) 2)) (* (* eps eps) eps))
205.0ms	(* (* (* 2/3 2/3) 2/3) (* (* eps eps) eps))

prune983.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.4b	(* 2/3 eps)
0.4b	(* 2/3 eps)
0.4b	(* 2/3 eps)
0.3b	(* 8/27 (* eps eps))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

Slowest

13.0ms	(* 2/3 eps)
12.0ms	(* 8/27 (* eps eps))
10.0ms	(* 2/3 eps)
5.0ms	(* 2/3 eps)

series103.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

48.0ms	(* 8/27 (* eps eps))
21.0ms	(* 2/3 eps)
19.0ms	(* 2/3 eps)
15.0ms	(* 2/3 eps)

simplify1.3s

Counts

49 → 89

Calls

49 calls:

Slowest

228.0ms	(* (* (* 2/3 2/3) 2/3) (* (* eps eps) eps))
203.0ms	(* (* (* 8/27 8/27) 8/27) (* (* (* eps eps) eps) (* (* eps eps) eps)))
202.0ms	(* (* (* 2/3 2/3) 2/3) (* (* eps eps) eps))
194.0ms	(* (* (* 8/27 8/27) 8/27) (* (* (* eps eps) (* eps eps)) (* eps eps)))
173.0ms	(* (* (* 2/3 2/3) 2/3) (* (* eps eps) eps))

prune1.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes18.0ms

Accuracy

0% (0.0b remaining)

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

bsearch5.0ms

end0.0ms

sample6.2s

Algorithm

intervals

Results

2.9s	3334×	body	1280	valid
1.4s	2505×	body	640	valid
1.0s	8060×	body	80	nan
438.0ms	1302×	body	320	valid
122.0ms	657×	body	160	valid
18.0ms	202×	body	80	valid