Details

sample109.0ms

Algorithm

intervals

Results

63.0ms	122×	body	1280	valid
18.0ms	74×	body	640	valid
7.0ms	238×	body	80	nan
6.0ms	40×	body	320	valid
1.0ms	16×	body	160	valid
0.0ms	4×	body	80	valid

simplify2.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
4.8b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite36.0ms

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:

22.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
10.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series179.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
141.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify49.0ms

Counts: 89 → 89

prune181.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Counts: 0 → 0

prune11.0ms

Pruning

4 alts after pruning (3 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	(/ (- 1.0 eps) (+ 1.0 eps))
4.6b	(log (sqrt (/ (- 1.0 eps) (+ 1.0 eps))))
4.6b	(log (sqrt (/ (- 1.0 eps) (+ 1.0 eps))))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

128×	`*-un-lft-identity`
84×	`add-sqr-sqrt`
80×	`times-frac`
58×	`log-prod`
52×	`sqrt-prod`
48×	`add-cube-cbrt`
22×	`distribute-lft-out`
18×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `associate-/l*`
8×	`pow1` `associate-/r*` `associate-/r/` `add-cbrt-cube`
6×	`log-pow`
4×	`flip3-+` `flip-+` `div-inv` `associate-/l/` `add-log-exp`
2×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-sub` `div-exp` `rem-log-exp` `clear-num` `flip--`

Counts

4 → 174

Calls

4 calls:

22.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
22.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
18.0ms	(log (sqrt (/ (- 1.0 eps) (+ 1.0 eps))))
16.0ms	(log (sqrt (/ (- 1.0 eps) (+ 1.0 eps))))

series541.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
44.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
242.0ms	(log (sqrt (/ (- 1.0 eps) (+ 1.0 eps))))
207.0ms	(log (sqrt (/ (- 1.0 eps) (+ 1.0 eps))))

simplify78.0ms

Counts: 186 → 186

prune546.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
0.1b	(cbrt (pow (log (sqrt (/ (- 1.0 eps) (+ 1.0 eps)))) 3))
4.6b	(log (sqrt (/ (- 1.0 eps) (+ 1.0 eps))))
4.6b	(log (sqrt (/ (- 1.0 eps) (+ 1.0 eps))))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity`
66×	`add-sqr-sqrt`
60×	`times-frac`
58×	`log-prod`
52×	`sqrt-prod`
40×	`add-cube-cbrt`
18×	`cbrt-prod`
16×	`distribute-lft-out`
13×	`distribute-lft-out--` `difference-of-squares`
12×	`pow1` `log-pow`
8×	`add-exp-log`
6×	`unpow-prod-down` `cube-prod` `associate-/r/` `add-cbrt-cube`
5×	`associate-/l*`
4×	`sqrt-pow1` `pow1/2` `associate-/r*` `add-log-exp`
3×	`flip3-+` `flip-+` `div-inv`
2×	`log-div` `sqrt-div` `rem-log-exp` `associate-/l/`
1×	`cbrt-undiv` `cube-mult` `flip3--` `frac-2neg` `pow1/3` `unpow3` `div-sub` `div-exp` `clear-num` `flip--` `rem-cbrt-cube` `sqr-pow`

Counts

4 → 155

Calls

4 calls:

30.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
4.0ms	(cbrt (pow (log (sqrt (/ (- 1.0 eps) (+ 1.0 eps)))) 3))
15.0ms	(log (sqrt (/ (- 1.0 eps) (+ 1.0 eps))))
16.0ms	(log (sqrt (/ (- 1.0 eps) (+ 1.0 eps))))

series824.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
275.0ms	(cbrt (pow (log (sqrt (/ (- 1.0 eps) (+ 1.0 eps)))) 3))
256.0ms	(log (sqrt (/ (- 1.0 eps) (+ 1.0 eps))))
239.0ms	(log (sqrt (/ (- 1.0 eps) (+ 1.0 eps))))

simplify103.0ms

Counts: 167 → 167

prune584.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes47.0ms

Accuracy

-0% (0.5b remaining)

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

bsearch0.0ms

simplify80.0ms

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.3s	3398×	body	1280	valid
827.0ms	2559×	body	640	valid
697.0ms	8071×	body	80	nan
274.0ms	1235×	body	320	valid
71.0ms	604×	body	160	valid
11.0ms	204×	body	80	valid