Details

analyze970.0ms (16.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
18.4%	81.3%	0.2%	13
29.5%	70.3%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample22.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	17×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify275.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (182.0ms)

Iter	Nodes	Cost
0	4787	16
1	4787	16

prune2.0ms (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

Merged error: 10.1b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 y z) t)
10.2b	(/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))

rewrite26.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_13058`
12×	`*-un-lft-identity_binary64_13036`
9×	`add-cbrt-cube_binary64_13072` `add-exp-log_binary64_13074`
6×	`add-cube-cbrt_binary64_13071`
5×	`associate-l_binary64_12977` `associate-/r*_binary64_12980` `times-frac_binary64_13042`
4×	`associate-*l/_binary64_12979` `pow1_binary64_13097`
3×	`flip--_binary64_13011` `associate-r_binary64_12976` `distribute-lft-out--_binary64_12988` `flip3--_binary64_13040` `difference-of-squares_binary64_13005`
2×	`cbrt-undiv_binary64_13070` `add-log-exp_binary64_13075` `associate-/r/_binary64_12982` `div-exp_binary64_13087` `prod-exp_binary64_13085` `cbrt-unprod_binary64_13069` `associate-/l/_binary64_12983`
1×	`clear-num_binary64_13035` `unswap-sqr_binary64_13004` `div-inv_binary64_13033` `associate-/l_binary64_12981` `-commutative_binary64_12967` `frac-2neg_binary64_13047` `pow-prod-down_binary64_13107`

Counts

2 → 51

Calls

2 calls:

16.0ms	(/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))
6.0ms	(*.f64 (-.f64 y z) t)

series351.0ms (6%)

Counts

2 → 37

Calls

2 calls:

249.0ms	(/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))
102.0ms	(*.f64 (-.f64 y z) t)

Compiler

Compiled 1020 to 824 computations (19.2% saved)

simplify66.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5420	1161

prune80.0ms (1.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	83	5	88
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	83	6	89

Merged error: 0.0b

Counts

89 → 6

Compiler

Compiled 1378 to 391 computations (71.6% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 a z))
0.5b	(cbrt.f64 (-.f64 a z))
0.5b	(*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))
4.4b	(.f64 (/.f64 (-.f64 y z) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 t (cbrt.f64 (-.f64 a z))))

rewrite74.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64_13058`
57×	`*-un-lft-identity_binary64_13036`
55×	`cbrt-prod_binary64_13067`
38×	`associate-r_binary64_12976`
36×	`times-frac_binary64_13042`
31×	`add-cube-cbrt_binary64_13071`
30×	`cbrt-div_binary64_13068`
27×	`add-exp-log_binary64_13074`
25×	`associate-l_binary64_12977`
18×	`add-cbrt-cube_binary64_13072`
15×	`flip--_binary64_13011` `flip3--_binary64_13040`
13×	`pow1_binary64_13097`
12×	`distribute-lft-out--_binary64_12988`
10×	`unswap-sqr_binary64_13004` `associate-/r/_binary64_12982` `difference-of-squares_binary64_13005` `swap-sqr_binary64_13003`
9×	`prod-exp_binary64_13085` `frac-times_binary64_13046` `cbrt-unprod_binary64_13069`
8×	`pow1/3_binary64_13118`
7×	`cbrt-undiv_binary64_13070` `div-exp_binary64_13087`
5×	`associate-l/_binary64_12979` `associate-r/_binary64_12978`
4×	`add-log-exp_binary64_13075`
3×	`pow-prod-down_binary64_13107`
2×	`div-inv_binary64_13033` `pow-sqr_binary64_13009` `pow-prod-up_binary64_13106` `*-commutative_binary64_12967`
1×	`pow2_binary64_13117` `pow-plus_binary64_13099`

Counts

4 → 163

Calls

4 calls:

35.0ms	(.f64 (/.f64 (-.f64 y z) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 t (cbrt.f64 (-.f64 a z))))
13.0ms	(*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))
3.0ms	(cbrt.f64 (-.f64 a z))
3.0ms	(cbrt.f64 (-.f64 a z))

series791.0ms (13.4%)

Counts

4 → 75

Calls

4 calls:

291.0ms	(.f64 (/.f64 (-.f64 y z) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 t (cbrt.f64 (-.f64 a z))))
207.0ms	(*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))
152.0ms	(cbrt.f64 (-.f64 a z))
140.0ms	(cbrt.f64 (-.f64 a z))

Compiler

Compiled 3302 to 2660 computations (19.4% saved)

simplify105.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

238 → 238

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4974	5288
1	4974	5288

prune240.0ms (4.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	238	0	238
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	238	6	244

Merged error: 0.0b

Counts

244 → 6

Compiler

Compiled 6662 to 1889 computations (71.6% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 t (-.f64 a z))
12.0b	(*.f64 (-.f64 y z) (/.f64 t (-.f64 a z)))

rewrite26.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`add-sqr-sqrt_binary64_13058`
38×	`*-un-lft-identity_binary64_13036`
31×	`times-frac_binary64_13042`
22×	`add-cube-cbrt_binary64_13071`
21×	`associate-r_binary64_12976`
9×	`add-cbrt-cube_binary64_13072` `add-exp-log_binary64_13074`
8×	`distribute-lft-out--_binary64_12988` `difference-of-squares_binary64_13005`
5×	`associate-l_binary64_12977` `associate-/r*_binary64_12980`
4×	`flip--_binary64_13011` `associate-/r/_binary64_12982` `flip3--_binary64_13040` `pow1_binary64_13097`
3×	`associate-/l*_binary64_12981`
2×	`cbrt-undiv_binary64_13070` `add-log-exp_binary64_13075` `unswap-sqr_binary64_13004` `div-inv_binary64_13033` `div-exp_binary64_13087` `associate-*l/_binary64_12979` `prod-exp_binary64_13085` `frac-times_binary64_13046` `cbrt-unprod_binary64_13069`
1×	`clear-num_binary64_13035` `associate-r/_binary64_12978` `-commutative_binary64_12967` `frac-2neg_binary64_13047` `pow-prod-down_binary64_13107`

Counts

2 → 83

Calls

2 calls:

14.0ms	(*.f64 (-.f64 y z) (/.f64 t (-.f64 a z)))
5.0ms	(/.f64 t (-.f64 a z))

series324.0ms (5.5%)

Counts

2 → 35

Calls

2 calls:

233.0ms	(*.f64 (-.f64 y z) (/.f64 t (-.f64 a z)))
91.0ms	(/.f64 t (-.f64 a z))

Compiler

Compiled 1079 to 865 computations (19.8% saved)

simplify66.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4970	1772
1	4970	1772

prune84.0ms (1.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	117	1	118
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	118	6	124

Merged error: 0b

Counts

124 → 6

Compiler

Compiled 2000 to 482 computations (75.9% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 a z) t)
12.9b	(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t))

rewrite40.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

200×	`times-frac_binary64_13042`
170×	`*-un-lft-identity_binary64_13036` `add-sqr-sqrt_binary64_13058`
86×	`add-cube-cbrt_binary64_13071`
42×	`distribute-lft-out--_binary64_12988` `difference-of-squares_binary64_13005`
22×	`associate-/r*_binary64_12980`
10×	`associate-/l*_binary64_12981`
9×	`add-cbrt-cube_binary64_13072` `add-exp-log_binary64_13074`
8×	`div-inv_binary64_13033`
4×	`cbrt-undiv_binary64_13070` `div-exp_binary64_13087` `associate-/l/_binary64_12983`
2×	`flip--_binary64_13011` `clear-num_binary64_13035` `div-sub_binary64_13041` `add-log-exp_binary64_13075` `flip3--_binary64_13040` `pow1_binary64_13097` `frac-2neg_binary64_13047`
1×	`associate-/r/_binary64_12982`

Counts

2 → 175

Calls

2 calls:

15.0ms	(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t))
6.0ms	(/.f64 (-.f64 a z) t)

series365.0ms (6.2%)

Counts

2 → 37

Calls

2 calls:

244.0ms	(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t))
121.0ms	(/.f64 (-.f64 a z) t)

Compiler

Compiled 1036 to 840 computations (18.9% saved)

simplify95.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5019	4869

prune149.0ms (2.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	211	1	212
Fresh	2	0	2
Picked	0	1	1
Done	0	3	3
Total	213	5	218

Merged error: 0b

Counts

218 → 5

Compiler

Compiled 4204 to 717 computations (82.9% saved)

regimes520.0ms (8.8%)

Compiler: Compiled 3797 to 2983 computations (21.4% saved)

bsearch40.0ms (0.7%)

Steps

Iters	Range		Point
9	5.969065007071104e-74	1.027541585660918e-68	1.011765985381093e-68
8	-4.842695249506512e-10	-1.7344683714948158e-13	-8.723683931925445e-11

Compiler

Compiled 1 to 5 computations (-400% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	63
1	52	63

end0.0ms (0%)

sample1.1s (19.3%)

Algorithm

1×

intervals

Results

319.0ms	7999×	body	128	valid
30.0ms	714×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 619 to 465 computations (24.9% saved)

Details

analyze970.0ms (16.5%)

sample22.0ms (0.4%)

simplify275.0ms (4.7%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite26.0ms (0.4%)

series351.0ms (6%)

simplify66.0ms (1.1%)

prune80.0ms (1.4%)

localize12.0ms (0.2%)

rewrite74.0ms (1.3%)

series791.0ms (13.4%)

simplify105.0ms (1.8%)

prune240.0ms (4.1%)

localize8.0ms (0.1%)

rewrite26.0ms (0.4%)

series324.0ms (5.5%)

simplify66.0ms (1.1%)

prune84.0ms (1.4%)

localize8.0ms (0.1%)

rewrite40.0ms (0.7%)

series365.0ms (6.2%)

simplify95.0ms (1.6%)

prune149.0ms (2.5%)

regimes520.0ms (8.8%)

bsearch40.0ms (0.7%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.1s (19.3%)

Profiling