Details

analyze1.5s (8.9%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4881	112
1	4881	112
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	7
7.8%	92%	0.2%	8
7.8%	92%	0.2%	8
16.4%	83.4%	0.2%	9
16.4%	83.4%	0.2%	9
23.8%	76%	0.2%	10
23.8%	76%	0.2%	10
25.1%	74.7%	0.2%	11
25.1%	74.7%	0.2%	11
38.1%	59.4%	2.5%	12
38.1%	59.4%	2.5%	12
41.8%	55.3%	2.9%	13
41.8%	55.3%	2.9%	13
46.5%	50.3%	3.1%	14
46.5%	50.3%	3.1%	14

Compiler

Compiled 24 to 22 computations (8.3% saved)

sample614.0ms (3.7%)

Algorithm

2×

intervals

Results

18.0ms	512×	body	128	valid
6.0ms	141×	body	128	invalid

Compiler

Compiled 3887 to 4855 computations (-24.9% saved)

simplify254.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (249.0ms)

Iter	Nodes	Cost
0	1484	16
1	1484	16

prune3.0ms (0%)

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

Error

5.9b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 t (-.f64 1 z))
0.0b	(-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))
5.6b	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

rewrite290.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

111×	`add-sqr-sqrt_binary64_12035`
107×	`*-un-lft-identity_binary64_12013`
88×	`times-frac_binary64_12019`
72×	`cancel-sign-sub-inv_binary64_11979`
46×	`add-cube-cbrt_binary64_12048`
34×	`difference-of-squares_binary64_11982`
25×	`distribute-rgt-in_binary64_11963` `distribute-lft-in_binary64_11962`
21×	`distribute-lft-out--_binary64_11965`
10×	`associate-r_binary64_11953`
8×	`associate-/r/_binary64_11959`
7×	`add-exp-log_binary64_12051` `add-cbrt-cube_binary64_12049`
6×	`flip3--_binary64_12017` `flip--_binary64_11988` `associate-/r*_binary64_11957`
5×	`pow1_binary64_12074` `add-log-exp_binary64_12052`
4×	`div-inv_binary64_12010`
3×	`sub-neg_binary64_12006` `associate-r/_binary64_11955` `associate-l_binary64_11954` `associate-/l_binary64_11958`
2×	`frac-sub_binary64_12022`
1×	`pow-prod-down_binary64_12084` `prod-exp_binary64_12062` `cbrt-unprod_binary64_12046` `unswap-sqr_binary64_11981` `*-commutative_binary64_11944` `diff-log_binary64_12105` `div-exp_binary64_12064` `cbrt-undiv_binary64_12047` `frac-2neg_binary64_12024` `clear-num_binary64_12012`

Counts

3 → 162

Calls

3 calls:

32.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
24.0ms	(-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))
6.0ms	(/.f64 t (-.f64 1 z))

Compiler

Compiled 3485 to 1799 computations (48.4% saved)

series900.0ms (5.3%)

Error

0.1b

Counts

3 → 65

Calls

3 calls:

470.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
257.0ms	(-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))
116.0ms	(/.f64 t (-.f64 1 z))

Compiler

Compiled 2023 to 1293 computations (36.1% saved)

simplify89.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

227 → 227

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4974	4088
1	4974	4088

prune239.0ms (1.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	215	12	227
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	216	12	228

Error

0.7b

Counts

228 → 12

Compiler

Compiled 3969 to 1841 computations (53.6% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 y z) (/.f64 1 (/.f64 (-.f64 1 z) t)))
0.0b	(/.f64 (-.f64 1 z) t)
0.4b	(/.f64 1 (/.f64 (-.f64 1 z) t))
5.6b	(*.f64 x (-.f64 (/.f64 y z) (/.f64 1 (/.f64 (-.f64 1 z) t))))

rewrite984.0ms (5.8%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

554×	`times-frac_binary64_12019`
436×	`add-sqr-sqrt_binary64_12035`
390×	`*-un-lft-identity_binary64_12013`
239×	`add-cube-cbrt_binary64_12048`
213×	`cancel-sign-sub-inv_binary64_11979`
106×	`difference-of-squares_binary64_11982`
72×	`distribute-rgt-in_binary64_11963` `distribute-lft-in_binary64_11962`
49×	`distribute-lft-out--_binary64_11965`
25×	`associate-/r*_binary64_11957`
20×	`div-inv_binary64_12010`
19×	`add-exp-log_binary64_12051`
16×	`associate-r_binary64_11953`
13×	`add-cbrt-cube_binary64_12049`
9×	`associate-/l*_binary64_11958`
8×	`div-exp_binary64_12064`
7×	`pow1_binary64_12074`
6×	`add-log-exp_binary64_12052`
4×	`associate-/r/_binary64_11959` `cbrt-undiv_binary64_12047`
3×	`sub-neg_binary64_12006` `associate-r/_binary64_11955` `flip3--_binary64_12017` `flip--_binary64_11988` `associate-l*_binary64_11954`
2×	`frac-sub_binary64_12022` `1-exp_binary64_12057` `rec-exp_binary64_12063` `frac-2neg_binary64_12024` `clear-num_binary64_12012` `associate-/l/_binary64_11960`
1×	`pow-prod-down_binary64_12084` `prod-exp_binary64_12062` `cbrt-unprod_binary64_12046` `unswap-sqr_binary64_11981` `*-commutative_binary64_11944` `inv-pow_binary64_12098` `pow-flip_binary64_12087` `div-sub_binary64_12018` `diff-log_binary64_12105`

Counts

4 → 428

Calls

4 calls:

68.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 1 (/.f64 (-.f64 1 z) t))))
64.0ms	(-.f64 (/.f64 y z) (/.f64 1 (/.f64 (-.f64 1 z) t)))
10.0ms	(/.f64 1 (/.f64 (-.f64 1 z) t))
6.0ms	(/.f64 (-.f64 1 z) t)

Compiler

Compiled 11288 to 6825 computations (39.5% saved)

series1.0s (6%)

Error

0.0b

Counts

4 → 74

Calls

4 calls:

455.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 1 (/.f64 (-.f64 1 z) t))))
260.0ms	(-.f64 (/.f64 y z) (/.f64 1 (/.f64 (-.f64 1 z) t)))
118.0ms	(/.f64 1 (/.f64 (-.f64 1 z) t))
110.0ms	(/.f64 (-.f64 1 z) t)

Compiler

Compiled 2355 to 1545 computations (34.4% saved)

simplify139.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

502 → 502

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5003	10879

prune592.0ms (3.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	501	1	502
Fresh	3	8	11
Picked	0	1	1
Done	0	0	0
Total	504	10	514

Error

0.0b

Counts

514 → 10

Compiler

Compiled 9941 to 4954 computations (50.2% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

5.6b	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
5.9b	(cbrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))
5.9b	(cbrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))
5.9b	(cbrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))

rewrite395.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

58×	`add-sqr-sqrt_binary64_12035`
55×	`*-un-lft-identity_binary64_12013`
48×	`cancel-sign-sub-inv_binary64_11979`
44×	`times-frac_binary64_12019`
26×	`add-cube-cbrt_binary64_12048`
25×	`distribute-rgt-in_binary64_11963` `distribute-lft-in_binary64_11962`
16×	`difference-of-squares_binary64_11982`
12×	`associate-*r/_binary64_11955`
10×	`distribute-lft-out--_binary64_11965` `associate-r_binary64_11953`
9×	`cbrt-div_binary64_12045`
6×	`pow1_binary64_12074` `add-exp-log_binary64_12051` `add-cbrt-cube_binary64_12049` `flip3--_binary64_12017` `flip--_binary64_11988`
4×	`add-log-exp_binary64_12052` `frac-sub_binary64_12022` `associate-/r/_binary64_11959`
3×	`pow1/3_binary64_12095` `cbrt-prod_binary64_12044` `associate-l_binary64_11954`
2×	`sub-neg_binary64_12006` `div-inv_binary64_12010`
1×	`pow-prod-down_binary64_12084` `prod-exp_binary64_12062` `cbrt-unprod_binary64_12046` `unswap-sqr_binary64_11981` `*-commutative_binary64_11944`

Counts

4 → 114

Calls

4 calls:

34.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
27.0ms	(cbrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))
25.0ms	(cbrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))
23.0ms	(cbrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))

Compiler

Compiled 5686 to 3046 computations (46.4% saved)

series3.6s (21.1%)

Error

0.0b

Counts

4 → 93

Calls

4 calls:

973.0ms	(cbrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))
943.0ms	(cbrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))
936.0ms	(cbrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))
483.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

Compiler

Compiled 14117 to 9170 computations (35% saved)

simplify126.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

207 → 207

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4955	5482
1	4955	5482

prune471.0ms (2.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	205	2	207
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	205	12	217

Error

0.0b

Counts

217 → 12

Compiler

Compiled 9800 to 5027 computations (48.7% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 y t))
7.0b	(/.f64 (*.f64 x (+.f64 y t)) z)

rewrite52.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-exp-log_binary64_12051` `add-cbrt-cube_binary64_12049`
8×	`add-sqr-sqrt_binary64_12035` `*-un-lft-identity_binary64_12013`
6×	`add-cube-cbrt_binary64_12048`
4×	`pow1_binary64_12074` `associate-r/_binary64_11955` `associate-r*_binary64_11953`
3×	`times-frac_binary64_12019` `associate-/r_binary64_11957` `associate-l*_binary64_11954`
2×	`prod-exp_binary64_12062` `div-exp_binary64_12064` `add-log-exp_binary64_12052` `cbrt-undiv_binary64_12047` `cbrt-unprod_binary64_12046` `flip3-+_binary64_12016` `associate-/l/_binary64_11960` `flip-+_binary64_11987`
1×	`frac-2neg_binary64_12024` `clear-num_binary64_12012` `div-inv_binary64_12010` `associate-/l_binary64_11958` `pow-prod-down_binary64_12084` `unswap-sqr_binary64_11981` `distribute-rgt-in_binary64_11963` `distribute-lft-in_binary64_11962` `distribute-lft-out_binary64_11964` `-commutative_binary64_11944`

Counts

2 → 46

Calls

2 calls:

7.0ms	(/.f64 (*.f64 x (+.f64 y t)) z)
6.0ms	(*.f64 x (+.f64 y t))

Compiler

Compiled 607 to 173 computations (71.5% saved)

series403.0ms (2.4%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

265.0ms	(/.f64 (*.f64 x (+.f64 y t)) z)
124.0ms	(*.f64 x (+.f64 y t))

Compiler

Compiled 681 to 420 computations (38.3% saved)

simplify65.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5039	751

prune49.0ms (0.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	75	4	79
Fresh	5	4	9
Picked	1	0	1
Done	1	1	2
Total	82	9	91

Error

Counts

91 → 9

Compiler

Compiled 738 to 153 computations (79.3% saved)

regimes2.4s (14.5%)

Accuracy

Total 1.4b remaining (99.5%)

Threshold costs 0b (0%)

Compiler

Compiled 12884 to 9985 computations (22.5% saved)

bsearch5.0ms (0%)

Compiler: Compiled 9 to 9 computations (0% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	130	96
1	130	96

end0.0ms (0%)

sample2.6s (15.6%)

Algorithm

1×

intervals

Results

310.0ms	8000×	body	128	valid
81.0ms	2168×	body	128	invalid

Compiler

Compiled 2190 to 1675 computations (23.5% saved)

Details

analyze1.5s (8.9%)

sample614.0ms (3.7%)

simplify254.0ms (1.5%)

prune3.0ms (0%)

localize8.0ms (0%)

rewrite290.0ms (1.7%)

series900.0ms (5.3%)

simplify89.0ms (0.5%)

prune239.0ms (1.4%)

localize9.0ms (0.1%)

rewrite984.0ms (5.8%)

series1.0s (6%)

simplify139.0ms (0.8%)

prune592.0ms (3.5%)

localize13.0ms (0.1%)

rewrite395.0ms (2.4%)

series3.6s (21.1%)

simplify126.0ms (0.7%)

prune471.0ms (2.8%)

localize8.0ms (0%)

rewrite52.0ms (0.3%)

series403.0ms (2.4%)

simplify65.0ms (0.4%)

prune49.0ms (0.3%)

regimes2.4s (14.5%)

bsearch5.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample2.6s (15.6%)

Profiling