Details

sample195.0ms

Algorithm

intervals

Results

91.0ms	103×	body	1280	valid
47.0ms	80×	body	640	valid
22.0ms	293×	body	80	nan
15.0ms	47×	body	320	valid
4.0ms	18×	body	160	valid
1.0ms	8×	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: 58.2b

localize11.0ms

Local error

Found 2 expressions with local error:

5.3b	(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

31.0ms	(/ (- 1 eps) (+ 1 eps))
28.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series127.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

105.0ms	(log (/ (- 1 eps) (+ 1 eps)))
22.0ms	(/ (- 1 eps) (+ 1 eps))

simplify3.8s

Counts

102 → 100

Calls

102 calls:

Slowest

405.0ms	(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
202.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))
201.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
189.0ms	(log (/ (- 1 eps) (+ (pow 1 3) (pow eps 3))))
188.0ms	(log (/ (* (cbrt (- 1 eps)) (cbrt (- 1 eps))) (* (cbrt (+ 1 eps)) (cbrt (+ 1 eps)))))

prune827.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite123.0ms

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

69.0ms	(* (+ (* (* 2/3 eps) eps) 2) eps)
27.0ms	(* (* 2/3 eps) eps)
16.0ms	(* -2/5 (pow eps 5))
10.0ms	(* 2/3 eps)

series284.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

135.0ms	(* (+ (* (* 2/3 eps) eps) 2) eps)
75.0ms	(* -2/5 (pow eps 5))
48.0ms	(* (* 2/3 eps) eps)
26.0ms	(* 2/3 eps)

simplify3.3s

Counts

59 → 97

Calls

59 calls:

Slowest

316.0ms	(* (- (* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps)) (* 2 2)) eps)
287.0ms	(* (+ (pow (* (* 2/3 eps) eps) 3) (pow 2 3)) eps)
282.0ms	(* (* (* -2/5 -2/5) -2/5) (* (* (pow eps 5) (pow eps 5)) (pow eps 5)))
245.0ms	(* (* (* (* 2/3 2/3) 2/3) (* (* eps eps) eps)) (* (* eps eps) eps))
223.0ms	(* (* (* (* 2/3 eps) (* 2/3 eps)) (* 2/3 eps)) (* (* eps eps) eps))

prune896.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 2/3 eps)
0.3b	(* 2/3 eps)
0.3b	(* 2/3 eps)
0.2b	(* 8/27 (* eps eps))

rewrite38.0ms

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

21.0ms	(* 8/27 (* eps eps))
5.0ms	(* 2/3 eps)
5.0ms	(* 2/3 eps)
5.0ms	(* 2/3 eps)

series98.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

30.0ms	(* 8/27 (* eps eps))
27.0ms	(* 2/3 eps)
25.0ms	(* 2/3 eps)
16.0ms	(* 2/3 eps)

simplify1.2s

Counts

49 → 89

Calls

49 calls:

Slowest

201.0ms	(* (* (* 8/27 8/27) 8/27) (* (* (* eps eps) (* eps eps)) (* eps eps)))
199.0ms	(* (* (* 8/27 8/27) 8/27) (* (* (* eps eps) eps) (* (* eps eps) eps)))
198.0ms	(* (* (* 2/3 2/3) 2/3) (* (* eps eps) eps))
171.0ms	(* (* (* 2/3 2/3) 2/3) (* (* eps eps) eps))
170.0ms	(* (* (* 2/3 2/3) 2/3) (* (* eps eps) eps))

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

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)))))

rewrite43.0ms

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×	`add-cbrt-cube` `insert-posit16` `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 → 172

Calls

4 calls:

Slowest

15.0ms	(log (/ (- 1 eps) (+ 1 eps)))
11.0ms	(* (cbrt (log (/ (- 1 eps) (+ 1 eps)))) (cbrt (log (/ (- 1 eps) (+ 1 eps)))))
8.0ms	(log (/ (- 1 eps) (+ 1 eps)))
6.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series577.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

307.0ms	(* (cbrt (log (/ (- 1 eps) (+ 1 eps)))) (cbrt (log (/ (- 1 eps) (+ 1 eps)))))
104.0ms	(log (/ (- 1 eps) (+ 1 eps)))
85.0ms	(log (/ (- 1 eps) (+ 1 eps)))
81.0ms	(log (/ (- 1 eps) (+ 1 eps)))

simplify8.4s

Counts

163 → 184

Calls

163 calls:

Slowest

260.0ms	(+ (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)))))
249.0ms	(log (/ (- 1 eps) (+ (pow 1 3) (pow eps 3))))
243.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
234.0ms	(log (/ (- 1 eps) (+ (pow 1 3) (pow eps 3))))
232.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))

prune1.7s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes90.0ms

Accuracy

0% (0.2b remaining)

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

bsearch6.0ms

end0.0ms

sample6.3s

Algorithm

intervals

Results

3.5s	3490×	body	1280	valid
1.3s	2492×	body	640	valid
606.0ms	8001×	body	80	nan
444.0ms	1203×	body	320	valid
118.0ms	609×	body	160	valid
18.0ms	206×	body	80	valid