Details

sample111.0ms

Algorithm

intervals

Results

52.0ms	101×	body	1280	valid
25.0ms	88×	body	640	valid
8.0ms	227×	body	80	nan
7.0ms	44×	body	320	valid
2.0ms	21×	body	160	valid
0.0ms	2×	body	80	valid

simplify2.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.5b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
6.4b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/l*`
4×	`associate-/r*` `associate-/r/` `add-cbrt-cube`
3×	`pow1`
2×	`flip3-+` `div-exp` `rem-log-exp` `flip-+` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `div-sub` `clear-num` `log-pow` `flip--`

Counts

2 → 83

Calls

2 calls:

37.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
11.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series213.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
165.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify56.0ms

Counts: 89 → 89

prune224.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Counts: 0 → 0

prune3.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
0.0b	(+ (* 2 (log (cbrt (/ (- 1.0 eps) (+ 1.0 eps))))) (log (cbrt (/ (- 1.0 eps) (+ 1.0 eps)))))
6.4b	(log (cbrt (/ (- 1.0 eps) (+ 1.0 eps))))
6.4b	(log (cbrt (/ (- 1.0 eps) (+ 1.0 eps))))

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

183×	`*-un-lft-identity`
145×	`log-prod`
130×	`cbrt-prod`
120×	`add-sqr-sqrt` `times-frac`
70×	`add-cube-cbrt`
58×	`associate-+l+`
31×	`distribute-lft-out`
29×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
25×	`distribute-lft-out--` `difference-of-squares`
12×	`associate-/r/`
8×	`add-exp-log`
7×	`pow1` `flip3-+` `flip-+`
6×	`add-cbrt-cube` `div-inv`
5×	`log-pow` `associate-/l*` `add-log-exp`
4×	`associate-/r*`
3×	`log-div` `cbrt-div`
2×	`distribute-rgt-out` `pow1/3` `rem-log-exp` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `flip3--` `frac-2neg` `distribute-lft1-in` `div-sub` `div-exp` `clear-num` `sum-log` `flip--`

Counts

4 → 228

Calls

4 calls:

36.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
62.0ms	(+ (* 2 (log (cbrt (/ (- 1.0 eps) (+ 1.0 eps))))) (log (cbrt (/ (- 1.0 eps) (+ 1.0 eps)))))
16.0ms	(log (cbrt (/ (- 1.0 eps) (+ 1.0 eps))))
23.0ms	(log (cbrt (/ (- 1.0 eps) (+ 1.0 eps))))

series1.3s

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
391.0ms	(+ (* 2 (log (cbrt (/ (- 1.0 eps) (+ 1.0 eps))))) (log (cbrt (/ (- 1.0 eps) (+ 1.0 eps)))))
445.0ms	(log (cbrt (/ (- 1.0 eps) (+ 1.0 eps))))
430.0ms	(log (cbrt (/ (- 1.0 eps) (+ 1.0 eps))))

simplify89.0ms

Counts: 240 → 240

prune805.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 1/3 (log (/ (- 1.0 eps) (+ 1.0 eps))))
0.1b	(+ (* 2 (log (cbrt (/ (- 1.0 eps) (+ 1.0 eps))))) (* 1/3 (log (/ (- 1.0 eps) (+ 1.0 eps)))))
6.4b	(log (/ (- 1.0 eps) (+ 1.0 eps)))
6.4b	(log (cbrt (/ (- 1.0 eps) (+ 1.0 eps))))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

233×	`*-un-lft-identity`
217×	`log-prod`
160×	`times-frac`
155×	`add-sqr-sqrt`
89×	`add-cube-cbrt`
81×	`distribute-rgt-in` `distribute-lft-in`
78×	`cbrt-prod`
58×	`associate-+l+`
52×	`associate-+r+`
40×	`distribute-lft-out`
32×	`distribute-lft-out--` `difference-of-squares`
16×	`associate-/r/`
10×	`add-exp-log`
9×	`pow1` `flip3-+` `flip-+`
8×	`div-inv`
6×	`add-cbrt-cube` `add-log-exp`
4×	`associate-r` `log-pow`
3×	`rem-log-exp` `associate-l`
2×	`log-div`
1×	`+-commutative` `cbrt-div` `pow1/3` `div-exp` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 269

Calls

4 calls:

55.0ms	(* 1/3 (log (/ (- 1.0 eps) (+ 1.0 eps))))
76.0ms	(+ (* 2 (log (cbrt (/ (- 1.0 eps) (+ 1.0 eps))))) (* 1/3 (log (/ (- 1.0 eps) (+ 1.0 eps)))))
14.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
17.0ms	(log (cbrt (/ (- 1.0 eps) (+ 1.0 eps))))

series1.8s

Counts

4 → 12

Calls

4 calls:

217.0ms	(* 1/3 (log (/ (- 1.0 eps) (+ 1.0 eps))))
670.0ms	(+ (* 2 (log (cbrt (/ (- 1.0 eps) (+ 1.0 eps))))) (* 1/3 (log (/ (- 1.0 eps) (+ 1.0 eps)))))
499.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
415.0ms	(log (cbrt (/ (- 1.0 eps) (+ 1.0 eps))))

simplify163.0ms

Counts: 281 → 281

prune720.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes50.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify93.0ms

end0.0ms

sample4.4s

Algorithm

intervals

Results

2.0s	3440×	body	1280	valid
911.0ms	2496×	body	640	valid
743.0ms	8246×	body	80	nan
250.0ms	1204×	body	320	valid
73.0ms	672×	body	160	valid
10.0ms	188×	body	80	valid