Details

sample165.0ms

Algorithm

intervals

Results

81.0ms	101×	body	1280	valid
36.0ms	84×	body	640	valid
11.0ms	226×	body	80	nan
10.0ms	38×	body	320	valid
5.0ms	30×	body	160	valid
0.0ms	3×	body	80	valid

simplify16.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	23
3	23
2	20
1	15
0	6

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.3b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ eps 1.0))
7.4b	(log (/ (- 1.0 eps) (+ eps 1.0)))

rewrite42.0ms

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*` `add-cbrt-cube` `associate-/r/`
3×	`pow1`
2×	`expm1-log1p-u` `flip3-+` `div-exp` `rem-log-exp` `flip-+` `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 → 87

Calls

2 calls:

23.0ms	(/ (- 1.0 eps) (+ eps 1.0))
16.0ms	(log (/ (- 1.0 eps) (+ eps 1.0)))

series234.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ (- 1.0 eps) (+ eps 1.0))
194.0ms	(log (/ (- 1.0 eps) (+ eps 1.0)))

simplify1.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1569
1	371
0	152

prune412.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune7.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (* (cbrt (- 1.0 eps)) (cbrt (- 1.0 eps)))) (log (/ (cbrt (- 1.0 eps)) (+ 1.0 eps))))
0.0b	(* (cbrt (- 1.0 eps)) (cbrt (- 1.0 eps)))
7.4b	(log (/ (cbrt (- 1.0 eps)) (+ 1.0 eps)))
7.5b	(log (* (cbrt (- 1.0 eps)) (cbrt (- 1.0 eps))))

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

114×	`*-un-lft-identity`
79×	`add-sqr-sqrt`
78×	`log-prod`
68×	`cbrt-prod`
64×	`times-frac`
47×	`add-cube-cbrt`
38×	`associate-+r+`
37×	`pow1`
36×	`cbrt-div`
26×	`log-pow`
22×	`distribute-lft-out`
18×	`log-div` `flip3--` `pow1/3` `flip--`
14×	`distribute-lft-out--`
12×	`frac-times` `fma-def` `add-exp-log` `difference-of-squares`
10×	`swap-sqr`
8×	`associate-r` `associate-l` `pow-prod-down` `associate-+l-`
6×	`associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
4×	`expm1-log1p-u` `add-cbrt-cube` `rem-log-exp` `associate-/r/` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow2` `flip3-+` `pow-plus` `flip-+`
2×	`prod-exp` `div-inv`
1×	`+-commutative` `associate-+l+` `associate-+r-` `sum-log` `div-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 217

Calls

4 calls:

108.0ms	(+ (log (* (cbrt (- 1.0 eps)) (cbrt (- 1.0 eps)))) (log (/ (cbrt (- 1.0 eps)) (+ 1.0 eps))))
39.0ms	(* (cbrt (- 1.0 eps)) (cbrt (- 1.0 eps)))
9.0ms	(log (/ (cbrt (- 1.0 eps)) (+ 1.0 eps)))
24.0ms	(log (* (cbrt (- 1.0 eps)) (cbrt (- 1.0 eps))))

series1.1s

Counts

4 → 12

Calls

4 calls:

472.0ms	(+ (log (* (cbrt (- 1.0 eps)) (cbrt (- 1.0 eps)))) (log (/ (cbrt (- 1.0 eps)) (+ 1.0 eps))))
188.0ms	(* (cbrt (- 1.0 eps)) (cbrt (- 1.0 eps)))
274.0ms	(log (/ (cbrt (- 1.0 eps)) (+ 1.0 eps)))
179.0ms	(log (* (cbrt (- 1.0 eps)) (cbrt (- 1.0 eps))))

simplify1.8s

Counts

229 → 229

Iterations

Iter	Nodes
done	5001
2	3759
1	884
0	377

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize48.0ms

Local error

Found 4 expressions with local error:

7.5b	(log (* (cbrt (- 1.0 eps)) (cbrt (- 1.0 eps))))
7.5b	(log (cbrt (- 1.0 eps)))
7.5b	(log (/ (cbrt (pow (exp 2) (log (cbrt (- 1.0 eps))))) (sqrt (+ eps 1.0))))
7.5b	(log (/ (cbrt (cbrt (- 1.0 eps))) (sqrt (+ eps 1.0))))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

287×	`log-prod`
243×	`cbrt-prod`
221×	`*-un-lft-identity`
210×	`times-frac`
154×	`add-sqr-sqrt`
124×	`add-cube-cbrt`
120×	`sqrt-prod`
56×	`unpow-prod-up`
30×	`distribute-lft-out`
28×	`unpow-prod-down`
15×	`pow1` `distribute-lft-out--` `difference-of-squares`
14×	`cbrt-div` `add-exp-log`
13×	`log-pow`
12×	`log-div`
7×	`flip3--` `pow1/3` `rem-log-exp` `exp-lft-sqr` `flip--` `sqr-pow`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `sqrt-div` `associate-/r/` `log1p-expm1-u` `add-log-exp`
2×	`flip3-+` `div-exp` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up` `flip-+` `div-inv`
1×	`pow2` `pow-plus` `prod-exp`

Counts

4 → 299

Calls

4 calls:

15.0ms	(log (* (cbrt (- 1.0 eps)) (cbrt (- 1.0 eps))))
4.0ms	(log (cbrt (- 1.0 eps)))
30.0ms	(log (/ (cbrt (pow (exp 2) (log (cbrt (- 1.0 eps))))) (sqrt (+ eps 1.0))))
31.0ms	(log (/ (cbrt (cbrt (- 1.0 eps))) (sqrt (+ eps 1.0))))

series1.6s

Counts

4 → 12

Calls

4 calls:

164.0ms	(log (* (cbrt (- 1.0 eps)) (cbrt (- 1.0 eps))))
158.0ms	(log (cbrt (- 1.0 eps)))
777.0ms	(log (/ (cbrt (pow (exp 2) (log (cbrt (- 1.0 eps))))) (sqrt (+ eps 1.0))))
523.0ms	(log (/ (cbrt (cbrt (- 1.0 eps))) (sqrt (+ eps 1.0))))

simplify1.9s

Counts

311 → 311

Iterations

Iter	Nodes
done	5000
2	4650
1	1458
0	742

prune2.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

regimes51.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
0	9

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.5s	3422×	body	1280	valid
1.0s	2518×	body	640	valid
752.0ms	7970×	body	80	nan
326.0ms	1241×	body	320	valid
86.0ms	640×	body	160	valid
11.0ms	179×	body	80	valid