Details

analyze82.0ms (1.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
12.5%	87.4%	0.1%	4
25%	74.9%	0.1%	5
31.2%	68.7%	0.1%	6
67.1%	32.8%	0.1%	7
71%	28.9%	0.1%	8
82.3%	17.6%	0.1%	9
84.9%	15%	0.1%	10
90.8%	9.1%	0.1%	11
92.2%	7.7%	0.1%	12
95.3%	4.6%	0.1%	13
96%	3.9%	0.1%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample18.0ms (0.3%)

Algorithm

1×

intervals

Results

6.0ms	199×	body	128	valid
2.0ms	17×	body	1024	valid
2.0ms	21×	body	512	valid
1.0ms	19×	body	256	valid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify296.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (194.0ms)

Iter	Nodes	Cost
0	4852	16
1	4852	16

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 22.5b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

3.4b	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
6.6b	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))

rewrite23.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64_20197`
10×	`cancel-sign-sub-inv_binary64_20163`
9×	`add-sqr-sqrt_binary64_20219`
8×	`times-frac_binary64_20203`
7×	`add-exp-log_binary64_20235` `add-cbrt-cube_binary64_20233`
6×	`add-cube-cbrt_binary64_20232`
4×	`add-log-exp_binary64_20236` `associate-/r*_binary64_20141` `associate-/r/_binary64_20143`
3×	`distribute-lft-out_binary64_20148`
2×	`flip3--_binary64_20201` `difference-of-squares_binary64_20166` `div-inv_binary64_20194` `div-exp_binary64_20248` `associate-/l/_binary64_20144` `associate-*l/_binary64_20140` `cbrt-undiv_binary64_20231` `flip3-+_binary64_20200` `flip--_binary64_20172` `pow1_binary64_20258` `flip-+_binary64_20171`
1×	`sub-neg_binary64_20190` `cbrt-unprod_binary64_20230` `frac-2neg_binary64_20208` `clear-num_binary64_20196` `prod-exp_binary64_20246` `distribute-lft-out--_binary64_20149` `associate-/l*_binary64_20142` `diff-log_binary64_20289`

Counts

2 → 51

Calls

2 calls:

10.0ms	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
9.0ms	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))

series205.0ms (3.7%)

Counts

2 → 28

Calls

2 calls:

122.0ms	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
83.0ms	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))

Compiler

Compiled 522 to 417 computations (20.1% saved)

simplify67.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5298	1314

prune95.0ms (1.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	70	9	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	9	80

Merged error: 8.6b

Counts

80 → 9

Compiler

Compiled 1285 to 895 computations (30.4% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (+.f64 1 y))
0.3b	(cbrt.f64 (+.f64 1 y))
0.3b	(cbrt.f64 (+.f64 1 y))
11.7b	(-.f64 1 (.f64 (/.f64 (-.f64 1 x) (.f64 (cbrt.f64 (+.f64 1 y)) (cbrt.f64 (+.f64 1 y)))) (/.f64 y (cbrt.f64 (+.f64 1 y)))))

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64_20197`
12×	`cbrt-prod_binary64_20228`
7×	`add-sqr-sqrt_binary64_20219` `add-cube-cbrt_binary64_20232`
6×	`add-log-exp_binary64_20236` `cbrt-div_binary64_20229`
4×	`add-exp-log_binary64_20235` `add-cbrt-cube_binary64_20233` `pow1_binary64_20258`
3×	`pow1/3_binary64_20279` `distribute-lft-out_binary64_20148` `flip3-+_binary64_20200` `flip-+_binary64_20171`
1×	`sub-neg_binary64_20190` `flip3--_binary64_20201` `cancel-sign-sub-inv_binary64_20163` `flip--_binary64_20172` `diff-log_binary64_20289`

Counts

4 → 54

Calls

4 calls:

5.0ms	(-.f64 1 (.f64 (/.f64 (-.f64 1 x) (.f64 (cbrt.f64 (+.f64 1 y)) (cbrt.f64 (+.f64 1 y)))) (/.f64 y (cbrt.f64 (+.f64 1 y)))))
3.0ms	(cbrt.f64 (+.f64 1 y))
3.0ms	(cbrt.f64 (+.f64 1 y))
3.0ms	(cbrt.f64 (+.f64 1 y))

series253.0ms (4.6%)

Counts

4 → 36

Calls

4 calls:

134.0ms	(-.f64 1 (.f64 (/.f64 (-.f64 1 x) (.f64 (cbrt.f64 (+.f64 1 y)) (cbrt.f64 (+.f64 1 y)))) (/.f64 y (cbrt.f64 (+.f64 1 y)))))
41.0ms	(cbrt.f64 (+.f64 1 y))
40.0ms	(cbrt.f64 (+.f64 1 y))
38.0ms	(cbrt.f64 (+.f64 1 y))

Compiler

Compiled 1034 to 879 computations (15% saved)

simplify87.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5319	1169

prune127.0ms (2.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	85	5	90
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	87	12	99

Merged error: 8.6b

Counts

99 → 12

Compiler

Compiled 2283 to 1749 computations (23.4% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (cbrt.f64 (+.f64 1 y)))
0.3b	(cbrt.f64 (cbrt.f64 (+.f64 1 y)))
0.3b	(cbrt.f64 (cbrt.f64 (+.f64 1 y)))
13.1b	(-.f64 1 (.f64 (/.f64 (-.f64 1 x) (.f64 (cbrt.f64 (+.f64 1 y)) (cbrt.f64 (+.f64 1 y)))) (/.f64 y (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 y))) (cbrt.f64 (cbrt.f64 (+.f64 1 y)))) (cbrt.f64 (cbrt.f64 (+.f64 1 y)))))))

rewrite26.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`cbrt-prod_binary64_20228`
16×	`*-un-lft-identity_binary64_20197`
12×	`cbrt-div_binary64_20229`
10×	`add-sqr-sqrt_binary64_20219` `add-cube-cbrt_binary64_20232`
6×	`add-log-exp_binary64_20236`
4×	`add-exp-log_binary64_20235` `add-cbrt-cube_binary64_20233` `pow1_binary64_20258`
3×	`pow1/3_binary64_20279` `distribute-lft-out_binary64_20148` `flip3-+_binary64_20200` `flip-+_binary64_20171`
1×	`sub-neg_binary64_20190` `flip3--_binary64_20201` `cancel-sign-sub-inv_binary64_20163` `flip--_binary64_20172` `diff-log_binary64_20289`

Counts

4 → 63

Calls

4 calls:

5.0ms	(-.f64 1 (.f64 (/.f64 (-.f64 1 x) (.f64 (cbrt.f64 (+.f64 1 y)) (cbrt.f64 (+.f64 1 y)))) (/.f64 y (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 y))) (cbrt.f64 (cbrt.f64 (+.f64 1 y)))) (cbrt.f64 (cbrt.f64 (+.f64 1 y)))))))
4.0ms	(cbrt.f64 (cbrt.f64 (+.f64 1 y)))
4.0ms	(cbrt.f64 (cbrt.f64 (+.f64 1 y)))
4.0ms	(cbrt.f64 (cbrt.f64 (+.f64 1 y)))

series298.0ms (5.4%)

Counts

4 → 36

Calls

4 calls:

161.0ms	(-.f64 1 (.f64 (/.f64 (-.f64 1 x) (.f64 (cbrt.f64 (+.f64 1 y)) (cbrt.f64 (+.f64 1 y)))) (/.f64 y (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 y))) (cbrt.f64 (cbrt.f64 (+.f64 1 y)))) (cbrt.f64 (cbrt.f64 (+.f64 1 y)))))))
46.0ms	(cbrt.f64 (cbrt.f64 (+.f64 1 y)))
46.0ms	(cbrt.f64 (cbrt.f64 (+.f64 1 y)))
44.0ms	(cbrt.f64 (cbrt.f64 (+.f64 1 y)))

Compiler

Compiled 1358 to 1149 computations (15.4% saved)

simplify68.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5109	1481

prune196.0ms (3.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	10	10
Picked	1	0	1
Done	0	1	1
Total	99	12	111

Merged error: 8.6b

Counts

111 → 12

Compiler

Compiled 3546 to 2772 computations (21.8% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (+.f64 1 y))
0.3b	(cbrt.f64 (-.f64 1 y))
8.8b	(-.f64 1 (.f64 (/.f64 (-.f64 1 x) (.f64 (cbrt.f64 (+.f64 1 y)) (/.f64 (cbrt.f64 (-.f64 1 (*.f64 y y))) (cbrt.f64 (-.f64 1 y))))) (/.f64 y (cbrt.f64 (+.f64 1 y)))))
13.8b	(cbrt.f64 (-.f64 1 (*.f64 y y)))

rewrite21.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`cbrt-prod_binary64_20228`
13×	`*-un-lft-identity_binary64_20197`
11×	`add-sqr-sqrt_binary64_20219`
7×	`add-cube-cbrt_binary64_20232`
6×	`add-log-exp_binary64_20236` `cbrt-div_binary64_20229`
4×	`add-exp-log_binary64_20235` `add-cbrt-cube_binary64_20233` `difference-of-squares_binary64_20166` `pow1_binary64_20258`
3×	`flip3--_binary64_20201` `pow1/3_binary64_20279` `flip--_binary64_20172`
1×	`sub-neg_binary64_20190` `distribute-lft-out--_binary64_20149` `distribute-lft-out_binary64_20148` `flip3-+_binary64_20200` `cancel-sign-sub-inv_binary64_20163` `diff-log_binary64_20289` `flip-+_binary64_20171`

Counts

4 → 57

Calls

4 calls:

4.0ms	(-.f64 1 (.f64 (/.f64 (-.f64 1 x) (.f64 (cbrt.f64 (+.f64 1 y)) (/.f64 (cbrt.f64 (-.f64 1 (*.f64 y y))) (cbrt.f64 (-.f64 1 y))))) (/.f64 y (cbrt.f64 (+.f64 1 y)))))
4.0ms	(cbrt.f64 (-.f64 1 y))
3.0ms	(cbrt.f64 (+.f64 1 y))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 y y)))

series1.1s (20%)

Counts

4 → 32

Calls

4 calls:

954.0ms	(-.f64 1 (.f64 (/.f64 (-.f64 1 x) (.f64 (cbrt.f64 (+.f64 1 y)) (/.f64 (cbrt.f64 (-.f64 1 (*.f64 y y))) (cbrt.f64 (-.f64 1 y))))) (/.f64 y (cbrt.f64 (+.f64 1 y)))))
72.0ms	(cbrt.f64 (-.f64 1 (*.f64 y y)))
40.0ms	(cbrt.f64 (+.f64 1 y))
31.0ms	(cbrt.f64 (-.f64 1 y))

Compiler

Compiled 1434 to 1184 computations (17.4% saved)

simplify66.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5034	1841

prune161.0ms (2.9%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	82	7	89
Fresh	4	6	10
Picked	1	0	1
Done	0	1	1
Total	87	14	101

Merged error: 8.5b

Counts

101 → 14

Compiler

Compiled 2925 to 2126 computations (27.3% saved)

regimes617.0ms (11.3%)

Compiler: Compiled 5584 to 4704 computations (15.8% saved)

bsearch32.0ms (0.6%)

Steps

Iters	Range		Point
7	1.8530541004829991e+30	3.200011945734395e+32	1.8902435904584662e+30
8	-9.975687714998478e+25	-3.551261315318044e+23	-3.599159768620087e+23

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	124	30
1	124	30

end0.0ms (0%)

sample1.6s (28.6%)

Algorithm

1×

intervals

Results

218.0ms	6255×	body	128	valid
74.0ms	628×	body	1024	valid
58.0ms	654×	body	512	valid
28.0ms	459×	body	256	valid
1.0ms	4×	body	2048	valid

Compiler

Compiled 1164 to 971 computations (16.6% saved)

Details

analyze82.0ms (1.5%)

sample18.0ms (0.3%)

simplify296.0ms (5.4%)

prune3.0ms (0%)

localize7.0ms (0.1%)

rewrite23.0ms (0.4%)

series205.0ms (3.7%)

simplify67.0ms (1.2%)

prune95.0ms (1.7%)

localize11.0ms (0.2%)

rewrite20.0ms (0.4%)

series253.0ms (4.6%)

simplify87.0ms (1.6%)

prune127.0ms (2.3%)

localize18.0ms (0.3%)

rewrite26.0ms (0.5%)

series298.0ms (5.4%)

simplify68.0ms (1.2%)

prune196.0ms (3.6%)

localize18.0ms (0.3%)

rewrite21.0ms (0.4%)

series1.1s (20%)

simplify66.0ms (1.2%)

prune161.0ms (2.9%)

regimes617.0ms (11.3%)

bsearch32.0ms (0.6%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.6s (28.6%)

Profiling