Details

analyze1.1s (8%)

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
0%	99.8%	0.2%	10
9.4%	90.4%	0.2%	11
9.4%	90.4%	0.2%	12
10.1%	89.6%	0.2%	13
20.8%	78.9%	0.2%	14

Compiler

Compiled 14 to 14 computations (0% saved)

sample36.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
4.0ms	108×	body	128	invalid

Compiler

Compiled 27 to 32 computations (-18.5% saved)

simplify550.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (458.0ms)

Iter	Nodes	Cost
0	4162	19
1	4162	19

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

Error

7.2b

Counts

2 → 1

Compiler

Compiled 26 to 26 computations (0% saved)

localize11.0ms (0.1%)

Local error

Found 6 expressions with local error:

6.8b	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))
0.2b	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
0.2b	(.f64 (.f64 z 9) t)
0.2b	(.f64 (.f64 z 9) t)
0.2b	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
6.8b	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))

rewrite23.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-cbrt-cube_binary64_21256` `add-exp-log_binary64_21258`
8×	`pow1_binary64_21281`
6×	`add-cube-cbrt_binary64_21255` `*-un-lft-identity_binary64_21220` `add-sqr-sqrt_binary64_21242`
5×	`add-log-exp_binary64_21259`
4×	`prod-exp_binary64_21269` `cbrt-unprod_binary64_21253`
3×	`associate-r_binary64_21160` `times-frac_binary64_21226` `associate-/l*_binary64_21165` `pow-prod-down_binary64_21291`
2×	`div-exp_binary64_21271` `flip3--_binary64_21224` `associate-/l/_binary64_21167` `cbrt-undiv_binary64_21254` `flip--_binary64_21195`
1×	`cancel-sign-sub-inv_binary64_21186` `sub-neg_binary64_21213` `-commutative_binary64_21151` `div-sub_binary64_21225` `diff-log_binary64_21312` `div-inv_binary64_21217` `associate-/r_binary64_21164` `clear-num_binary64_21219` `associate-l_binary64_21161` `frac-2neg_binary64_21231`

Counts

3 → 54

Calls

6 calls:

8.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))
6.0ms	(.f64 (.f64 z 9) t)
4.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
0.0ms	(.f64 (.f64 z 9) t)
0.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))

series685.0ms (4.9%)

Counts

3 → 57

Calls

3 calls:

437.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))
195.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
53.0ms	(.f64 (.f64 z 9) t)

Compiler

Compiled 1090 to 1114 computations (-2.2% saved)

simplify58.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5092	1631

prune123.0ms (0.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	102	9	111
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	9	112

Error

3.7b

Counts

112 → 9

Compiler

Compiled 1850 to 1079 computations (41.7% saved)

localize12.0ms (0.1%)

Local error

Found 8 expressions with local error:

6.8b	(/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9) t)) 2))
0.5b	(/.f64 1 (/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9) t)) 2)))
0.2b	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
0.2b	(.f64 (.f64 z 9) t)
0.2b	(.f64 (.f64 z 9) t)
0.2b	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
0.5b	(/.f64 1 (/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9) t)) 2)))
6.8b	(/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9) t)) 2))

rewrite80.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

471×	`times-frac_binary64_21226`
232×	`add-cube-cbrt_binary64_21255` `*-un-lft-identity_binary64_21220` `add-sqr-sqrt_binary64_21242`
57×	`associate-/r*_binary64_21164`
35×	`add-exp-log_binary64_21258`
23×	`add-cbrt-cube_binary64_21256`
22×	`div-inv_binary64_21217`
18×	`div-exp_binary64_21271`
10×	`pow1_binary64_21281`
9×	`cbrt-undiv_binary64_21254`
6×	`add-log-exp_binary64_21259` `associate-/l*_binary64_21165` `associate-/r/_binary64_21166`
3×	`associate-r_binary64_21160` `1-exp_binary64_21264` `prod-exp_binary64_21269` `pow-prod-down_binary64_21291` `cbrt-unprod_binary64_21253` `rec-exp_binary64_21270`
2×	`clear-num_binary64_21219` `frac-2neg_binary64_21231`
1×	`inv-pow_binary64_21305` `flip3--_binary64_21224` `cancel-sign-sub-inv_binary64_21186` `sub-neg_binary64_21213` `pow-flip_binary64_21294` `-commutative_binary64_21151` `diff-log_binary64_21312` `flip--_binary64_21195` `associate-l*_binary64_21161`

Counts

4 → 304

Calls

8 calls:

16.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9) t)) 2)))
8.0ms	(/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9) t)) 2))
5.0ms	(.f64 (.f64 z 9) t)
4.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
0.0ms	(.f64 (.f64 z 9) t)

series1.1s (7.6%)

Counts

4 → 90

Calls

4 calls:

421.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9) t)) 2)))
414.0ms	(/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9) t)) 2))
187.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
54.0ms	(.f64 (.f64 z 9) t)

Compiler

Compiled 2632 to 2470 computations (6.2% saved)

simplify161.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

394 → 394

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5103	12648

prune580.0ms (4.1%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	389	5	394
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	389	14	403

Error

3.7b

Counts

403 → 14

Compiler

Compiled 10471 to 6121 computations (41.5% saved)

localize13.0ms (0.1%)

Local error

Found 8 expressions with local error:

6.6b	(/.f64 (/.f64 1 a) (/.f64 1 (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9) t)) 2)))
0.5b	(/.f64 1 (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9) t)) 2))
0.2b	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
0.2b	(.f64 (.f64 z 9) t)
0.2b	(.f64 (.f64 z 9) t)
0.2b	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
0.5b	(/.f64 1 (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9) t)) 2))
6.6b	(/.f64 (/.f64 1 a) (/.f64 1 (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9) t)) 2)))

rewrite205.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

1976×	`times-frac_binary64_21226`
852×	`add-cube-cbrt_binary64_21255` `*-un-lft-identity_binary64_21220` `add-sqr-sqrt_binary64_21242`
107×	`div-inv_binary64_21217`
103×	`add-exp-log_binary64_21258`
77×	`div-exp_binary64_21271`
57×	`associate-/r*_binary64_21164`
35×	`add-cbrt-cube_binary64_21256`
18×	`cbrt-undiv_binary64_21254`
17×	`1-exp_binary64_21264` `rec-exp_binary64_21270`
16×	`associate-/l*_binary64_21165` `associate-/r/_binary64_21166`
10×	`pow1_binary64_21281`
6×	`add-log-exp_binary64_21259`
3×	`associate-r_binary64_21160` `prod-exp_binary64_21269` `pow-prod-down_binary64_21291` `cbrt-unprod_binary64_21253`
2×	`clear-num_binary64_21219` `frac-2neg_binary64_21231`
1×	`inv-pow_binary64_21305` `flip3--_binary64_21224` `cancel-sign-sub-inv_binary64_21186` `sub-neg_binary64_21213` `pow-flip_binary64_21294` `associate-/l/_binary64_21167` `-commutative_binary64_21151` `diff-log_binary64_21312` `flip--_binary64_21195` `associate-l*_binary64_21161`

Counts

4 → 781

Calls

8 calls:

34.0ms	(/.f64 (/.f64 1 a) (/.f64 1 (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9) t)) 2)))
8.0ms	(/.f64 1 (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9) t)) 2))
5.0ms	(.f64 (.f64 z 9) t)
4.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
0.0ms	(.f64 (.f64 z 9) t)

series948.0ms (6.7%)

Counts

4 → 87

Calls

4 calls:

441.0ms	(/.f64 (/.f64 1 a) (/.f64 1 (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9) t)) 2)))
251.0ms	(/.f64 1 (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9) t)) 2))
199.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
57.0ms	(.f64 (.f64 z 9) t)

Compiler

Compiled 2590 to 2482 computations (4.2% saved)

simplify337.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

868 → 868

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5131	36823

prune2.3s (16.2%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	867	1	868
Fresh	3	9	12
Picked	0	1	1
Done	0	1	1
Total	870	12	882

Error

3.7b

Counts

882 → 12

Compiler

Compiled 26865 to 17063 computations (36.5% saved)

localize17.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.2b	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
0.2b	(.f64 (.f64 z 9) t)
0.2b	(.f64 (.f64 z 9) t)
0.2b	(.f64 (.f64 z 9) t)
1.7b	(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9) t)))) a)
8.6b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9) t)))
8.6b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9) t)))
8.6b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9) t)))

rewrite34.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-div_binary64_21252`
9×	`flip3--_binary64_21224` `add-exp-log_binary64_21258` `add-cube-cbrt_binary64_21255` `cbrt-prod_binary64_21251` `flip--_binary64_21195` `*-un-lft-identity_binary64_21220` `add-sqr-sqrt_binary64_21242`
8×	`associate-/l/_binary64_21167`
7×	`add-cbrt-cube_binary64_21256`
4×	`frac-times_binary64_21230` `pow1_binary64_21281` `add-log-exp_binary64_21259`
3×	`times-frac_binary64_21226` `associate-/r*_binary64_21164` `pow1/3_binary64_21302`
2×	`div-exp_binary64_21271` `associate-l/_binary64_21163` `associate-r/_binary64_21162` `cbrt-undiv_binary64_21254`
1×	`prod-exp_binary64_21269` `div-inv_binary64_21217` `associate-/l*_binary64_21165` `clear-num_binary64_21219` `cbrt-unprod_binary64_21253` `frac-2neg_binary64_21231`

Counts

4 → 68

Calls

8 calls:

12.0ms	(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9) t)))) a)
4.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9) t)))
4.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9) t)))
4.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9) t)))
0.0ms	(.f64 (.f64 z 9) t)

series2.1s (14.6%)

Counts

4 → 109

Calls

4 calls:

895.0ms	(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9) t)))) a)
394.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9) t)))
386.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9) t)))
383.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9) t)))

Compiler

Compiled 9256 to 7384 computations (20.2% saved)

simplify83.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5190	7051

prune443.0ms (3.1%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	177	0	177
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	177	12	189

Error

3.7b

Counts

189 → 12

Compiler

Compiled 8864 to 5121 computations (42.2% saved)

simplify29.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	426	1387
1	426	1387

regimes650.0ms (4.6%)

Compiler: Compiled 6504 to 5809 computations (10.7% saved)

bsearch35.0ms (0.2%)

Steps

Iters	Range		Point
9	8.426792659732392e+179	1.7648673968280005e+187	1.0680167141161982e+180

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes201.0ms (1.4%)

Compiler: Compiled 1170 to 1455 computations (-24.4% saved)

bsearch0.0ms (0%)

regimes296.0ms (2.1%)

Compiler: Compiled 496 to 740 computations (-49.2% saved)

bsearch44.0ms (0.3%)

Steps

Iters	Range		Point
7	1.6312027885098747e-132	8.839646186618369e-131	8.73745380784116e-131
9	-1.7497747867518293e-32	-3.985162580438731e-40	-7.712426256318321e-40

Compiler

Compiled 3 to 6 computations (-100% saved)

regimes52.0ms (0.4%)

Compiler: Compiled 60 to 185 computations (-208.3% saved)

bsearch0.0ms (0%)

regimes47.0ms (0.3%)

Accuracy

Total 3.5b remaining (49.6%)

Threshold costs 0b (0%)

Compiler

Compiled 25 to 140 computations (-460% saved)

bsearch5.0ms (0%)

Compiler: Compiled 87 to 80 computations (8% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	112	118
1	112	118

end0.0ms (0%)

sample1.8s (12.7%)

Algorithm

1×

intervals

Results

323.0ms	8000×	body	128	valid
126.0ms	3143×	body	128	invalid

Compiler

Compiled 1072 to 953 computations (11.1% saved)

Pareto

0.2938508716229973

Details

analyze1.1s (8%)

sample36.0ms (0.3%)

simplify550.0ms (3.9%)

prune2.0ms (0%)

localize11.0ms (0.1%)

rewrite23.0ms (0.2%)

series685.0ms (4.9%)

simplify58.0ms (0.4%)

prune123.0ms (0.9%)

localize12.0ms (0.1%)

rewrite80.0ms (0.6%)

series1.1s (7.6%)

simplify161.0ms (1.1%)

prune580.0ms (4.1%)

localize13.0ms (0.1%)

rewrite205.0ms (1.5%)

series948.0ms (6.7%)

simplify337.0ms (2.4%)

prune2.3s (16.2%)

localize17.0ms (0.1%)

rewrite34.0ms (0.2%)

series2.1s (14.6%)

simplify83.0ms (0.6%)

prune443.0ms (3.1%)

simplify29.0ms (0.2%)

regimes650.0ms (4.6%)

bsearch35.0ms (0.2%)

regimes201.0ms (1.4%)

bsearch0.0ms (0%)

regimes296.0ms (2.1%)

bsearch44.0ms (0.3%)

regimes52.0ms (0.4%)

bsearch0.0ms (0%)

regimes47.0ms (0.3%)

bsearch5.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample1.8s (12.7%)

Profiling