Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
62.5%	12.5%	25%	4
68.7%	6.2%	25%	5
71.8%	3.1%	25%	6
73.4%	1.6%	25%	7
74.2%	0.8%	25%	8
74.6%	0.4%	25%	9
74.8%	0.2%	25%	10
74.9%	0.1%	25%	11
74.9%	0%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

sample66.0ms

Algorithm

intervals

Results

43.0ms	92×	body	1280	valid
12.0ms	53×	body	640	valid
3.0ms	24×	body	320	valid
2.0ms	72×	body	80	valid
1.0ms	15×	body	160	valid

simplify19.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	8	6
1	8	6

prune1.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 43.2b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

4.3b	(log.f64 (+.f64 1 x))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-prod_binary64_3366` `*-un-lft-identity_binary64_3452`
2×	`add-sqr-sqrt_binary64_3437` `log-div_binary64_3367` `pow1_binary64_3394` `add-exp-log_binary64_3416` `add-cube-cbrt_binary64_3423`
1×	`flip-+_binary64_3477` `add-log-exp_binary64_3417` `distribute-lft-out_binary64_3496` `rem-log-exp_binary64_3415` `flip3-+_binary64_3450` `log-pow_binary64_3369` `add-cbrt-cube_binary64_3424`

Counts

1 → 15

Calls

1 calls:

4.0ms

(log.f64 (+.f64 1 x))

series254.0ms

Counts

1 → 3

Calls

1 calls:

254.0ms

(log.f64 (+.f64 1 x))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	187	1357
1	187	1357
0	5763	1076
0	187	1357
1	187	1357
0	5763	1076
0	1	3
1	1	3

simplify141.0ms

Counts

18 → 18

Iterations

Useful iterations: 0 (124.0ms)

Iter	Nodes	Cost
0	4896	161
1	4896	161

prune14.0ms

Filtered

12 candidates to 18 candidates (-50.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	15	3	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	4	19

Merged error: 43.2b

Counts

19 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (+.f64 1 x))
0.2b	(cbrt.f64 (+.f64 1 x))
4.1b	(log.f64 (cbrt.f64 (+.f64 1 x)))
4.1b	(log.f64 (cbrt.f64 (+.f64 1 x)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64_3452`
16×	`cbrt-prod_binary64_3419`
14×	`log-prod_binary64_3366`
10×	`add-sqr-sqrt_binary64_3437` `add-cube-cbrt_binary64_3423`
8×	`cbrt-div_binary64_3420`
6×	`pow1_binary64_3394` `add-exp-log_binary64_3416`
4×	`flip-+_binary64_3477` `add-log-exp_binary64_3417` `distribute-lft-out_binary64_3496` `flip3-+_binary64_3450` `log-div_binary64_3367` `log-pow_binary64_3369` `add-cbrt-cube_binary64_3424` `pow1/3_binary64_3386`
2×	`rem-log-exp_binary64_3415`

Counts

4 → 66

Calls

4 calls:

4.0ms	(cbrt.f64 (+.f64 1 x))
4.0ms	(cbrt.f64 (+.f64 1 x))
5.0ms	(log.f64 (cbrt.f64 (+.f64 1 x)))
5.0ms	(log.f64 (cbrt.f64 (+.f64 1 x)))

series872.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(cbrt.f64 (+.f64 1 x))
95.0ms	(cbrt.f64 (+.f64 1 x))
343.0ms	(log.f64 (cbrt.f64 (+.f64 1 x)))
340.0ms	(log.f64 (cbrt.f64 (+.f64 1 x)))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	90	1959
1	90	1959
0	4811	1944
1	4811	1944
0	90	1959
1	90	1959
0	4811	1944
1	4811	1944
0	1	3
1	1	3
0	90	1959
1	90	1959
0	4811	1944
1	4811	1944
0	90	1959
1	90	1959
0	4811	1944
1	4811	1944
0	1	3
1	1	3
0	36	1941
1	36	1941
0	48	1926
1	48	1926
0	36	1941
1	36	1941
0	48	1926
1	48	1926
0	1	3
1	1	3
0	36	1941
1	36	1941
0	48	1926
1	48	1926
0	36	1941
1	36	1941
0	48	1926
1	48	1926
0	1	3
1	1	3

simplify191.0ms

Counts

78 → 78

Iterations

Useful iterations: 0 (167.0ms)

Iter	Nodes	Cost
0	4752	834
1	4752	834

prune61.0ms

Filtered

54 candidates to 78 candidates (-44.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	78	4	82

Merged error: 43.2b

Counts

82 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(log.f64 (log.f64 (+.f64 1 x)))
0.5b	(exp.f64 (log.f64 (log.f64 (+.f64 1 x))))
4.3b	(log.f64 (+.f64 1 x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod_binary64_3366`
9×	`*-un-lft-identity_binary64_3452`
8×	`pow1_binary64_3394`
7×	`add-sqr-sqrt_binary64_3437` `add-cube-cbrt_binary64_3423`
5×	`log-pow_binary64_3369` `add-exp-log_binary64_3416`
4×	`exp-prod_binary64_3402` `exp-sum_binary64_3407`
3×	`add-log-exp_binary64_3417` `add-cbrt-cube_binary64_3424`
2×	`rem-log-exp_binary64_3415` `log-div_binary64_3367`
1×	`flip-+_binary64_3477` `distribute-lft-out_binary64_3496` `flip3-+_binary64_3450` `rem-exp-log_binary64_3414`

Counts

3 → 44

Calls

3 calls:

2.0ms	(log.f64 (log.f64 (+.f64 1 x)))
3.0ms	(exp.f64 (log.f64 (log.f64 (+.f64 1 x))))
4.0ms	(log.f64 (+.f64 1 x))

series740.0ms

Counts

3 → 9

Calls

3 calls:

235.0ms	(log.f64 (log.f64 (+.f64 1 x)))
253.0ms	(exp.f64 (log.f64 (log.f64 (+.f64 1 x))))
252.0ms	(log.f64 (+.f64 1 x))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	187	1357
1	187	1357
0	5763	1076
0	187	1357
1	187	1357
0	5763	1076
0	1	3
1	1	3
0	210	1599
1	210	1599
0	5116	1193
0	210	1599
1	210	1599
0	5116	1193
0	1	3
1	1	3
0	226	1478
1	226	1478
0	5627	1328
0	226	1478
1	226	1478
0	5627	1328
0	1	3
1	1	3

simplify177.0ms

Counts

53 → 53

Iterations

Useful iterations: 0 (158.0ms)

Iter	Nodes	Cost
0	4807	457
1	4807	457

prune34.0ms

Filtered

32 candidates to 53 candidates (-65.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	50	3	53
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	51	6	57

Merged error: 43.0b

Counts

57 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (pow.f64 (log.f64 (log.f64 (+.f64 1 x))) 3))
0.2b	(pow.f64 (log.f64 (log.f64 (+.f64 1 x))) 3)
0.5b	(exp.f64 (cbrt.f64 (pow.f64 (log.f64 (log.f64 (+.f64 1 x))) 3)))
4.3b	(log.f64 (+.f64 1 x))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod_binary64_3419`
17×	`*-un-lft-identity_binary64_3452` `exp-prod_binary64_3402`
15×	`add-sqr-sqrt_binary64_3437` `add-cube-cbrt_binary64_3423`
12×	`unpow-prod-down_binary64_3383` `cube-prod_binary64_3425` `pow1_binary64_3394`
7×	`log-pow_binary64_3369`
6×	`add-exp-log_binary64_3416`
5×	`add-log-exp_binary64_3417` `add-cbrt-cube_binary64_3424`
4×	`log-prod_binary64_3366`
3×	`sqr-pow_binary64_3484` `cube-mult_binary64_3427` `pow-unpow_binary64_3381` `unpow3_binary64_3392`
2×	`log-div_binary64_3367`
1×	`rem-cube-cbrt_binary64_3428` `flip-+_binary64_3477` `pow-exp_binary64_3372` `distribute-lft-out_binary64_3496` `pow-pow_binary64_3376` `rem-log-exp_binary64_3415` `flip3-+_binary64_3450` `rem-cbrt-cube_binary64_3429` `pow1/3_binary64_3386` `pow-to-exp_binary64_3373` `rem-exp-log_binary64_3414`

Counts

4 → 88

Calls

4 calls:

3.0ms	(cbrt.f64 (pow.f64 (log.f64 (log.f64 (+.f64 1 x))) 3))
3.0ms	(pow.f64 (log.f64 (log.f64 (+.f64 1 x))) 3)
6.0ms	(exp.f64 (cbrt.f64 (pow.f64 (log.f64 (log.f64 (+.f64 1 x))) 3)))
4.0ms	(log.f64 (+.f64 1 x))

series987.0ms

Counts

4 → 12

Calls

4 calls:

299.0ms	(cbrt.f64 (pow.f64 (log.f64 (log.f64 (+.f64 1 x))) 3))
185.0ms	(pow.f64 (log.f64 (log.f64 (+.f64 1 x))) 3)
247.0ms	(exp.f64 (cbrt.f64 (pow.f64 (log.f64 (log.f64 (+.f64 1 x))) 3)))
257.0ms	(log.f64 (+.f64 1 x))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	187	1357
1	187	1357
0	5763	1076
0	187	1357
1	187	1357
0	5763	1076
0	1	3
1	1	3
0	67	2022
1	67	2022
0	4780	1281
1	4780	1281
0	67	2022
1	67	2022
0	4780	1281
1	4780	1281
0	1	3
1	1	3
0	280	1808
1	280	1808
0	5665	1581
0	280	1808
1	280	1808
0	5665	1581
0	1	3
1	1	3
0	46	2004
1	46	2004
0	4951	1371
1	4951	1371
0	46	2004
1	46	2004
0	4951	1371
1	4951	1371
0	1	3
1	1	3

simplify92.0ms

Counts

100 → 100

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4962	1064
1	4962	1064

prune50.0ms

Filtered

51 candidates to 100 candidates (-96.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	100	6	106

Merged error: 43.0b

Counts

106 → 6

regimes36.0ms

Accuracy

0% (0.3b remaining)

Error of 39.4b against oracle of 39.2b and baseline of 39.4b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	6
1	8	6

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.1s	2313×	body	1280	valid
387.0ms	1702×	body	640	valid
95.0ms	793×	body	320	valid
73.0ms	2767×	body	80	valid
29.0ms	425×	body	160	valid

Details

analyze3.0ms

sample66.0ms

simplify19.0ms

prune1.0ms

localize3.0ms

rewrite4.0ms

series254.0ms

simplify141.0ms

prune14.0ms

localize7.0ms

rewrite19.0ms

series872.0ms

simplify191.0ms

prune61.0ms

localize6.0ms

rewrite10.0ms

series740.0ms

simplify177.0ms

prune34.0ms

localize9.0ms

rewrite19.0ms

series987.0ms

simplify92.0ms

prune50.0ms

regimes36.0ms

bsearch0.0ms

simplify5.0ms

end0.0ms

sample1.8s

Profiling