Details

analyze374.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
6.1%	20.4%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.2%	16.6%	74.3%	14

sample44.0ms

Algorithm

intervals

Results

12.0ms	183×	body	80	valid
8.0ms	20×	body	640	valid
6.0ms	27×	body	320	valid
4.0ms	5×	body	1280	valid
3.0ms	21×	body	160	valid
1.0ms	9×	body	80	nan

simplify168.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (156.0ms)

Iter	Nodes	Cost
0	5004	26

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: 7.2b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y))))
0.2b	(*.f64 (-.f64 x 1) (log.f64 y))
4.9b	(log.f64 (-.f64 1 y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

30×	`log-prod_binary64`
27×	`add-sqr-sqrt_binary64`
24×	`*-un-lft-identity_binary64`
12×	`add-cube-cbrt_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64`
10×	`associate-*l/_binary64`
8×	`difference-of-squares_binary64`
7×	`pow1_binary64` `associate-l_binary64`
6×	`flip3--_binary64` `associate-+l+_binary64` `add-exp-log_binary64` `flip--_binary64`
5×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
4×	`associate-r_binary64` `frac-add_binary64` `distribute-lft-out--_binary64`
2×	`log-pow_binary64` `log-div_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `rem-log-exp_binary64` `difference-of-sqr-1_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

3 → 81

Calls

3 calls:

13.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y))))
7.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
4.0ms	(log.f64 (-.f64 1 y))

series150.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y))))
52.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
13.0ms	(log.f64 (-.f64 1 y))

simplify78.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4968	1823
1	4968	1823

prune128.0ms

Filtered

69 candidates to 90 candidates (-30.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	82	8	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	8	91

Merged error: 0.0b

Counts

91 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (-.f64 (neg.f64 (.f64 (.f64 y y) (+.f64 (*.f64 1/3 y) 1/2))) y)))
0.0b	(.f64 (.f64 y y) (+.f64 (*.f64 1/3 y) 1/2))
0.2b	(*.f64 (-.f64 x 1) (log.f64 y))
0.3b	(*.f64 1/3 y)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64` `associate-*l/_binary64`
21×	`flip3--_binary64` `flip--_binary64`
16×	`*-un-lft-identity_binary64` `frac-add_binary64`
14×	`pow1_binary64`
13×	`add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`log-prod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
11×	`associate-l_binary64`
10×	`associate-r_binary64`
8×	`frac-times_binary64`
6×	`add-log-exp_binary64` `associate-*r/_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
5×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`distribute-neg-in_binary64` `associate--l+_binary64`
3×	`unswap-sqr_binary64` `*-commutative_binary64`
2×	`flip3-+_binary64` `sub-neg_binary64` `difference-of-squares_binary64` `flip-+_binary64`
1×	`log-pow_binary64` `difference-of-sqr-1_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 111

Calls

4 calls:

13.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (-.f64 (neg.f64 (.f64 (.f64 y y) (+.f64 (*.f64 1/3 y) 1/2))) y)))
10.0ms	(.f64 (.f64 y y) (+.f64 (*.f64 1/3 y) 1/2))
7.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
4.0ms	(*.f64 1/3 y)

series194.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (-.f64 (neg.f64 (.f64 (.f64 y y) (+.f64 (*.f64 1/3 y) 1/2))) y)))
44.0ms	(.f64 (.f64 y y) (+.f64 (*.f64 1/3 y) 1/2))
36.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
12.0ms	(*.f64 1/3 y)

simplify92.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5038	3886

prune181.0ms

Filtered

91 candidates to 123 candidates (-35.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	120	3	123
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	123	8	131

Merged error: 0.0b

Counts

131 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (-.f64 x 1) (log.f64 (sqrt.f64 y))) (.f64 (-.f64 z 1) (-.f64 (.f64 y (.f64 y (-.f64 -1/2 (*.f64 1/3 y)))) y)))
0.2b	(*.f64 (log.f64 (sqrt.f64 y)) (-.f64 x 1))
0.2b	(*.f64 (-.f64 x 1) (log.f64 (sqrt.f64 y)))
0.3b	(*.f64 1/3 y)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64`
26×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
24×	`*-un-lft-identity_binary64` `log-prod_binary64`
22×	`flip3--_binary64` `flip--_binary64` `associate-*l/_binary64`
18×	`add-cube-cbrt_binary64`
16×	`associate-r_binary64` `frac-add_binary64` `associate-l_binary64`
14×	`pow1_binary64`
12×	`sub-neg_binary64` `associate-+l+_binary64` `sqrt-prod_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-+r+_binary64`
8×	`frac-times_binary64` `associate--l+_binary64`
6×	`add-log-exp_binary64` `associate-*r/_binary64` `log-pow_binary64`
4×	`difference-of-squares_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`
2×	`pow1/2_binary64` `difference-of-sqr-1_binary64` `sqrt-pow1_binary64` `distribute-lft-out--_binary64`
1×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 135

Calls

4 calls:

17.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 (sqrt.f64 y))) (.f64 (-.f64 z 1) (-.f64 (.f64 y (.f64 y (-.f64 -1/2 (*.f64 1/3 y)))) y)))
8.0ms	(*.f64 (log.f64 (sqrt.f64 y)) (-.f64 x 1))
8.0ms	(*.f64 (-.f64 x 1) (log.f64 (sqrt.f64 y)))
4.0ms	(*.f64 1/3 y)

series202.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 (sqrt.f64 y))) (.f64 (-.f64 z 1) (-.f64 (.f64 y (.f64 y (-.f64 -1/2 (*.f64 1/3 y)))) y)))
28.0ms	(*.f64 (log.f64 (sqrt.f64 y)) (-.f64 x 1))
30.0ms	(*.f64 (-.f64 x 1) (log.f64 (sqrt.f64 y)))
13.0ms	(*.f64 1/3 y)

simplify111.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4958	4509
1	4958	4509

prune249.0ms

Filtered

111 candidates to 147 candidates (-32.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	147	8	155

Merged error: 0.0b

Counts

155 → 8

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 (log.f64 y) (-.f64 x 1)) (.f64 (-.f64 z 1) (-.f64 (.f64 y (.f64 y (-.f64 -1/2 (.f64 1/3 y)))) y)))) (cbrt.f64 (+.f64 (.f64 (log.f64 y) (-.f64 x 1)) (.f64 (-.f64 z 1) (-.f64 (.f64 y (.f64 y (-.f64 -1/2 (*.f64 1/3 y)))) y)))))
0.6b	(cbrt.f64 (+.f64 (.f64 (log.f64 y) (-.f64 x 1)) (.f64 (-.f64 z 1) (-.f64 (.f64 y (.f64 y (-.f64 -1/2 (*.f64 1/3 y)))) y))))
0.6b	(cbrt.f64 (+.f64 (.f64 (log.f64 y) (-.f64 x 1)) (.f64 (-.f64 z 1) (-.f64 (.f64 y (.f64 y (-.f64 -1/2 (*.f64 1/3 y)))) y))))
0.6b	(cbrt.f64 (+.f64 (.f64 (log.f64 y) (-.f64 x 1)) (.f64 (-.f64 z 1) (-.f64 (.f64 y (.f64 y (-.f64 -1/2 (*.f64 1/3 y)))) y))))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

838×	`associate-*r/_binary64`
820×	`flip3--_binary64` `flip--_binary64`
738×	`cbrt-div_binary64`
656×	`frac-add_binary64`
652×	`frac-times_binary64`
182×	`associate-*l/_binary64`
41×	`flip3-+_binary64` `flip-+_binary64`
25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 487

Calls

4 calls:

41.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 (log.f64 y) (-.f64 x 1)) (.f64 (-.f64 z 1) (-.f64 (.f64 y (.f64 y (-.f64 -1/2 (.f64 1/3 y)))) y)))) (cbrt.f64 (+.f64 (.f64 (log.f64 y) (-.f64 x 1)) (.f64 (-.f64 z 1) (-.f64 (.f64 y (.f64 y (-.f64 -1/2 (*.f64 1/3 y)))) y)))))
11.0ms	(cbrt.f64 (+.f64 (.f64 (log.f64 y) (-.f64 x 1)) (.f64 (-.f64 z 1) (-.f64 (.f64 y (.f64 y (-.f64 -1/2 (*.f64 1/3 y)))) y))))
11.0ms	(cbrt.f64 (+.f64 (.f64 (log.f64 y) (-.f64 x 1)) (.f64 (-.f64 z 1) (-.f64 (.f64 y (.f64 y (-.f64 -1/2 (*.f64 1/3 y)))) y))))
12.0ms	(cbrt.f64 (+.f64 (.f64 (log.f64 y) (-.f64 x 1)) (.f64 (-.f64 z 1) (-.f64 (.f64 y (.f64 y (-.f64 -1/2 (*.f64 1/3 y)))) y))))

series888.0ms

Counts

4 → 12

Calls

4 calls:

310.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 (log.f64 y) (-.f64 x 1)) (.f64 (-.f64 z 1) (-.f64 (.f64 y (.f64 y (-.f64 -1/2 (.f64 1/3 y)))) y)))) (cbrt.f64 (+.f64 (.f64 (log.f64 y) (-.f64 x 1)) (.f64 (-.f64 z 1) (-.f64 (.f64 y (.f64 y (-.f64 -1/2 (*.f64 1/3 y)))) y)))))
193.0ms	(cbrt.f64 (+.f64 (.f64 (log.f64 y) (-.f64 x 1)) (.f64 (-.f64 z 1) (-.f64 (.f64 y (.f64 y (-.f64 -1/2 (*.f64 1/3 y)))) y))))
193.0ms	(cbrt.f64 (+.f64 (.f64 (log.f64 y) (-.f64 x 1)) (.f64 (-.f64 z 1) (-.f64 (.f64 y (.f64 y (-.f64 -1/2 (*.f64 1/3 y)))) y))))
192.0ms	(cbrt.f64 (+.f64 (.f64 (log.f64 y) (-.f64 x 1)) (.f64 (-.f64 z 1) (-.f64 (.f64 y (.f64 y (-.f64 -1/2 (*.f64 1/3 y)))) y))))

simplify778.0ms

Algorithm

egg-herbie

Counts

499 → 499

Iterations

Useful iterations: 0 (118.0ms)

Iter	Nodes	Cost
0	5008	97199

prune4.6s

Filtered

316 candidates to 499 candidates (-57.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	497	2	499
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	498	9	507

Merged error: 0.0b

Counts

507 → 9

regimes178.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	90	51
1	90	51

end0.0ms

sample1.3s

Algorithm

intervals

Results

400.0ms	5828×	body	80	valid
297.0ms	824×	body	640	valid
193.0ms	283×	body	1280	valid
144.0ms	616×	body	320	valid
63.0ms	449×	body	160	valid
18.0ms	256×	body	80	nan
2.0ms	26×	body	80	invalid

Details

analyze374.0ms

sample44.0ms

simplify168.0ms

prune1.0ms

localize12.0ms

rewrite27.0ms

series150.0ms

simplify78.0ms

prune128.0ms

localize18.0ms

rewrite39.0ms

series194.0ms

simplify92.0ms

prune181.0ms

localize20.0ms

rewrite43.0ms

series202.0ms

simplify111.0ms

prune249.0ms

localize26.0ms

rewrite168.0ms

series888.0ms

simplify778.0ms

prune4.6s

regimes178.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample1.3s

Profiling