Details

sample3.0s

Algorithm

intervals

Results

2.6s	129×	body	10240	exit
133.0ms	50×	body	1280	nan
101.0ms	258×	body	80	valid
45.0ms	31×	body	640	nan
20.0ms	18×	body	320	nan
7.0ms	8×	body	160	nan
4.0ms	11×	body	80	nan

simplify5.7s

Counts

1 → 1

Iterations

Useful iterations: 3 (2.7s)

Iter	Nodes	Cost
0	60	1840
1	148	1840
2	614	1840
3	4612	1760
done	5000	1760

prune43.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize230.0ms

Local error

Found 4 expressions with local error:

5.3b	(- (- 1.0 z) 1.0)
5.3b	(- (- 1.0 z) 1.0)
5.3b	(- (- 1.0 z) 1.0)
5.3b	(- (- 1.0 z) 1.0)

rewrite250.0ms

Algorithm

rewrite-expression-head

Rules

116×	`*-un-lft-identity`
104×	`add-sqr-sqrt`
96×	`prod-diff`
64×	`add-cube-cbrt`
44×	`associate--l+`
28×	`distribute-lft-out--`
24×	`add-log-exp`
20×	`fma-neg` `difference-of-squares`
12×	`diff-log`
8×	`sub-neg`
4×	`associate--l-` `expm1-log1p-u` `pow1` `flip3--` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `flip--`

Counts

4 → 200

Calls

4 calls:

68.0ms	(- (- 1.0 z) 1.0)
71.0ms	(- (- 1.0 z) 1.0)
44.0ms	(- (- 1.0 z) 1.0)
51.0ms	(- (- 1.0 z) 1.0)

series75.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(- (- 1.0 z) 1.0)
21.0ms	(- (- 1.0 z) 1.0)
21.0ms	(- (- 1.0 z) 1.0)
21.0ms	(- (- 1.0 z) 1.0)

simplify2.2s

Counts

212 → 212

Iterations

Useful iterations: 3 (944.0ms)

Iter	Nodes	Cost
0	84	52492
1	184	44404
2	511	30448
3	3073	27568
done	5000	27568

prune3.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.5b

localize285.0ms

Local error

Found 4 expressions with local error:

5.3b	(- (- 1.0 z) 1.0)
5.3b	(- (- 1.0 z) 1.0)
5.3b	(- (- 1.0 z) 1.0)
5.3b	(log (/ 1 (exp z)))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

96×	`*-un-lft-identity`
87×	`add-sqr-sqrt`
72×	`prod-diff`
57×	`add-cube-cbrt`
33×	`associate--l+`
21×	`distribute-lft-out--`
19×	`add-log-exp`
15×	`fma-neg` `difference-of-squares`
13×	`log-prod`
9×	`times-frac` `diff-log`
6×	`pow1` `sub-neg` `add-exp-log` `log-pow`
4×	`expm1-log1p-u` `add-cbrt-cube` `rem-log-exp` `log1p-expm1-u` `pow-flip`
3×	`associate--l-` `exp-prod` `flip3--` `flip--`
2×	`div-exp`
1×	`log-div` `rec-exp` `1-exp` `log-rec` `div-inv` `inv-pow`

Counts

4 → 184

Calls

4 calls:

43.0ms	(- (- 1.0 z) 1.0)
36.0ms	(- (- 1.0 z) 1.0)
49.0ms	(- (- 1.0 z) 1.0)
5.0ms	(log (/ 1 (exp z)))

series260.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(- (- 1.0 z) 1.0)
12.0ms	(- (- 1.0 z) 1.0)
13.0ms	(- (- 1.0 z) 1.0)
219.0ms	(log (/ 1 (exp z)))

simplify2.8s

Counts

196 → 196

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	145	49730
1	293	38890
2	725	28918
3	3902	24454
done	5000	24454

prune3.4s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.5b

localize232.0ms

Local error

Found 4 expressions with local error:

5.3b	(- (- 1.0 z) 1.0)
5.3b	(- (- 1.0 z) 1.0)
5.4b	(log (sqrt (/ 1 (exp z))))
5.4b	(log (sqrt (/ 1 (exp z))))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
72×	`add-sqr-sqrt`
52×	`add-cube-cbrt`
48×	`prod-diff`
32×	`log-prod`
26×	`sqrt-prod`
22×	`associate--l+`
18×	`times-frac`
16×	`log-pow`
14×	`distribute-lft-out--` `add-log-exp`
12×	`sqrt-pow1`
10×	`pow1` `fma-neg` `difference-of-squares`
8×	`pow-flip`
6×	`exp-prod` `diff-log` `add-exp-log`
4×	`expm1-log1p-u` `sub-neg` `add-cbrt-cube` `log1p-expm1-u`
2×	`associate--l-` `log-div` `flip3--` `pow1/2` `sqrt-div` `rem-log-exp` `div-inv` `flip--` `inv-pow`

Counts

4 → 170

Calls

4 calls:

42.0ms	(- (- 1.0 z) 1.0)
39.0ms	(- (- 1.0 z) 1.0)
5.0ms	(log (sqrt (/ 1 (exp z))))
5.0ms	(log (sqrt (/ 1 (exp z))))

series475.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- (- 1.0 z) 1.0)
25.0ms	(- (- 1.0 z) 1.0)
209.0ms	(log (sqrt (/ 1 (exp z))))
223.0ms	(log (sqrt (/ 1 (exp z))))

simplify3.1s

Counts

182 → 182

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	172	53536
1	296	43736
2	699	36848
3	3986	32314
done	5000	32314

prune4.0s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.5b

localize260.0ms

Local error

Found 4 expressions with local error:

5.3b	(- (- 1.0 z) 1.0)
5.3b	(- (- 1.0 z) 1.0)
5.4b	(log (sqrt (exp z)))
5.4b	(log (sqrt (/ 1 (exp z))))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

72×	`*-un-lft-identity`
66×	`add-sqr-sqrt`
48×	`prod-diff`
46×	`add-cube-cbrt`
22×	`log-prod` `associate--l+`
16×	`sqrt-prod`
14×	`log-pow` `distribute-lft-out--` `add-log-exp`
10×	`sqrt-pow1` `fma-neg` `difference-of-squares`
9×	`pow1` `times-frac`
6×	`exp-prod` `diff-log` `add-exp-log`
4×	`expm1-log1p-u` `sub-neg` `add-cbrt-cube` `log1p-expm1-u` `pow-flip`
2×	`associate--l-` `flip3--` `pow1/2` `rem-log-exp` `flip--`
1×	`log-div` `sqrt-div` `div-inv` `inv-pow`

Counts

4 → 157

Calls

4 calls:

55.0ms	(- (- 1.0 z) 1.0)
57.0ms	(- (- 1.0 z) 1.0)
6.0ms	(log (sqrt (exp z)))
9.0ms	(log (sqrt (/ 1 (exp z))))

series462.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(- (- 1.0 z) 1.0)
12.0ms	(- (- 1.0 z) 1.0)
207.0ms	(log (sqrt (exp z)))
229.0ms	(log (sqrt (/ 1 (exp z))))

simplify3.5s

Counts

169 → 169

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	193	46182
1	321	38200
2	730	31432
3	4068	26898
done	5000	26898

prune3.1s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.5b

regimes450.0ms

Accuracy

0% (0.1b remaining)

Error of 0.6b against oracle of 0.5b and baseline of 0.6b

bsearch0.0ms

simplify56.0ms

Iterations

Useful iterations: 1 (45.0ms)

Iter	Nodes	Cost
0	68	2172
1	93	2171
done	93	2171

end0.0ms

sample1.4m

Algorithm

intervals

Results

1.1m	3939×	body	10240	exit
4.7s	8087×	body	80	valid
4.1s	1549×	body	1280	nan
3.6s	1324×	body	640	nan
1.2s	567×	body	320	nan
263.0ms	316×	body	160	nan
106.0ms	304×	body	80	nan