Details

analyze1.2s (11.3%)

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
24.9%	74.9%	0.2%	13
26.2%	73.6%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample30.0ms (0.3%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
1.0ms	24×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify497.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (384.0ms)

Iter	Nodes	Cost
0	5693	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

Error

9.6b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t)))
0.0b	(*.f64 y (-.f64 z t))
10.1b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))

rewrite117.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-sqr-sqrt_binary64_12035` `*-un-lft-identity_binary64_12013`
10×	`add-exp-log_binary64_12051` `add-cbrt-cube_binary64_12049`
9×	`add-cube-cbrt_binary64_12048`
6×	`cancel-sign-sub-inv_binary64_11979`
5×	`pow1_binary64_12074` `add-log-exp_binary64_12052` `times-frac_binary64_12019` `associate-/r_binary64_11957` `associate-r*_binary64_11953`
4×	`associate-*r/_binary64_11955` `distribute-rgt-in_binary64_11963` `distribute-lft-in_binary64_11962`
3×	`difference-of-squares_binary64_11982` `distribute-lft-out--_binary64_11965` `flip3--_binary64_12017` `flip--_binary64_11988` `associate-l_binary64_11954`
2×	`prod-exp_binary64_12062` `div-exp_binary64_12064` `cbrt-undiv_binary64_12047` `cbrt-unprod_binary64_12046` `associate-/l/_binary64_11960` `associate-/r/_binary64_11959` `sub-neg_binary64_12006`
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` `-commutative_binary64_11944` `sum-log_binary64_12104` `flip3-+_binary64_12016` `flip-+_binary64_11987` `distribute-lft-out_binary64_11964` `+-commutative_binary64_11943`

Counts

3 → 71

Calls

3 calls:

18.0ms	(*.f64 y (-.f64 z t))
14.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))
8.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t)))

Compiler

Compiled 1337 to 337 computations (74.8% saved)

series1.1s (9.9%)

Error

0.0b

Counts

3 → 78

Calls

3 calls:

535.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t)))
306.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))
139.0ms	(*.f64 y (-.f64 z t))

Compiler

Compiled 3550 to 2015 computations (43.2% saved)

simplify82.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5065	2627

prune132.0ms (1.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	142	7	149
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	142	8	150

Error

Counts

150 → 8

Compiler

Compiled 2524 to 597 computations (76.3% saved)

localize20.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
0.0b	(/.f64 (-.f64 a t) (-.f64 z t))
1.5b	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

rewrite292.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

218×	`times-frac_binary64_12019`
197×	`*-un-lft-identity_binary64_12013`
195×	`add-sqr-sqrt_binary64_12035`
91×	`add-cube-cbrt_binary64_12048`
52×	`difference-of-squares_binary64_11982` `distribute-lft-out--_binary64_11965`
36×	`associate-/r*_binary64_11957`
11×	`associate-/r/_binary64_11959`
10×	`add-exp-log_binary64_12051` `add-cbrt-cube_binary64_12049`
8×	`associate-/l*_binary64_11958`
6×	`div-inv_binary64_12010` `flip3--_binary64_12017` `flip--_binary64_11988`
5×	`add-log-exp_binary64_12052`
4×	`div-exp_binary64_12064` `cbrt-undiv_binary64_12047`
3×	`pow1_binary64_12074`
2×	`frac-2neg_binary64_12024` `clear-num_binary64_12012` `associate-/l/_binary64_11960`
1×	`div-sub_binary64_12018` `sum-log_binary64_12104` `flip3-+_binary64_12016` `flip-+_binary64_11987` `distribute-lft-out_binary64_11964` `+-commutative_binary64_11943`

Counts

3 → 206

Calls

3 calls:

30.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
19.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))
8.0ms	(/.f64 (-.f64 a t) (-.f64 z t))

Compiler

Compiled 4812 to 1041 computations (78.4% saved)

series1.2s (11%)

Error

Counts

3 → 87

Calls

3 calls:

500.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
348.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))
224.0ms	(/.f64 (-.f64 a t) (-.f64 z t))

Compiler

Compiled 4245 to 2510 computations (40.9% saved)

simplify153.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

293 → 293

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4968	7338
1	4968	7338

prune253.0ms (2.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	292	1	293
Fresh	3	3	6
Picked	0	1	1
Done	1	0	1
Total	296	5	301

Error

Counts

301 → 5

Compiler

Compiled 6136 to 1095 computations (82.2% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t)))
0.0b	(/.f64 y (-.f64 a t))
13.8b	(*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t))

rewrite144.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

48×	`add-sqr-sqrt_binary64_12035`
43×	`*-un-lft-identity_binary64_12013`
31×	`times-frac_binary64_12019`
27×	`add-cube-cbrt_binary64_12048`
21×	`associate-l_binary64_11954`
12×	`cancel-sign-sub-inv_binary64_11979`
10×	`add-exp-log_binary64_12051` `add-cbrt-cube_binary64_12049`
8×	`distribute-rgt-in_binary64_11963` `distribute-lft-in_binary64_11962` `difference-of-squares_binary64_11982` `distribute-lft-out--_binary64_11965` `associate-+r+_binary64_11945`
5×	`pow1_binary64_12074` `add-log-exp_binary64_12052` `associate-r_binary64_11953` `associate-/r*_binary64_11957`
4×	`flip3--_binary64_12017` `flip--_binary64_11988` `sub-neg_binary64_12006` `associate-/r/_binary64_11959`
3×	`associate-/l*_binary64_11958`
2×	`div-exp_binary64_12064` `prod-exp_binary64_12062` `cbrt-unprod_binary64_12046` `cbrt-undiv_binary64_12047` `frac-times_binary64_12023` `unswap-sqr_binary64_11981` `associate-*r/_binary64_11955` `div-inv_binary64_12010`
1×	`pow-prod-down_binary64_12084` `associate-l/_binary64_11956` `-commutative_binary64_11944` `frac-2neg_binary64_12024` `clear-num_binary64_12012` `sum-log_binary64_12104` `flip3-+_binary64_12016` `flip-+_binary64_11987` `+-commutative_binary64_11943`

Counts

3 → 110

Calls

3 calls:

14.0ms	(*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t))
5.0ms	(/.f64 y (-.f64 a t))
4.0ms	(+.f64 x (*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t)))

Compiler

Compiled 2224 to 495 computations (77.7% saved)

series1.1s (10.3%)

Error

Counts

3 → 84

Calls

3 calls:

559.0ms	(+.f64 x (*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t)))
336.0ms	(*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t))
144.0ms	(/.f64 y (-.f64 a t))

Compiler

Compiled 3994 to 2325 computations (41.8% saved)

simplify105.0ms (1%)

Algorithm

1×	egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5269	3653

prune142.0ms (1.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	194	0	194
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	194	5	199

Error

Counts

199 → 5

Compiler

Compiled 3525 to 830 computations (76.5% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (+.f64 y (*.f64 y (-.f64 (/.f64 a t) (/.f64 z t)))))
0.0b	(+.f64 y (*.f64 y (-.f64 (/.f64 a t) (/.f64 z t))))
1.0b	(-.f64 (/.f64 a t) (/.f64 z t))
4.8b	(*.f64 y (-.f64 (/.f64 a t) (/.f64 z t)))

rewrite202.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

71×	`add-sqr-sqrt_binary64_12035`
65×	`cancel-sign-sub-inv_binary64_11979` `times-frac_binary64_12019`
63×	`*-un-lft-identity_binary64_12013`
45×	`add-cube-cbrt_binary64_12048`
29×	`associate-+r+_binary64_11945`
28×	`distribute-rgt-in_binary64_11963` `distribute-lft-in_binary64_11962`
13×	`add-log-exp_binary64_12052`
12×	`associate-r_binary64_11953`
9×	`div-inv_binary64_12010`
8×	`difference-of-squares_binary64_11982` `distribute-lft-out--_binary64_11965`
6×	`pow1_binary64_12074` `add-exp-log_binary64_12051` `add-cbrt-cube_binary64_12049`
5×	`sub-neg_binary64_12006`
4×	`associate-*r/_binary64_11955` `sum-log_binary64_12104`
3×	`associate-l_binary64_11954`
2×	`frac-sub_binary64_12022` `sub-div_binary64_12020` `flip3--_binary64_12017` `flip--_binary64_11988` `distribute-rgt-out--_binary64_11967` `flip3-+_binary64_12016` `flip-+_binary64_11987` `+-commutative_binary64_11943`
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` `distribute-lft-out_binary64_11964`

Counts

4 → 147

Calls

4 calls:

25.0ms	(*.f64 y (-.f64 (/.f64 a t) (/.f64 z t)))
18.0ms	(-.f64 (/.f64 a t) (/.f64 z t))
11.0ms	(+.f64 y (*.f64 y (-.f64 (/.f64 a t) (/.f64 z t))))
6.0ms	(+.f64 x (+.f64 y (*.f64 y (-.f64 (/.f64 a t) (/.f64 z t)))))

Compiler

Compiled 3351 to 789 computations (76.5% saved)

series1.2s (11.2%)

Error

Counts

4 → 84

Calls

4 calls:

390.0ms	(+.f64 x (+.f64 y (*.f64 y (-.f64 (/.f64 a t) (/.f64 z t)))))
302.0ms	(+.f64 y (*.f64 y (-.f64 (/.f64 a t) (/.f64 z t))))
286.0ms	(*.f64 y (-.f64 (/.f64 a t) (/.f64 z t)))
162.0ms	(-.f64 (/.f64 a t) (/.f64 z t))

Compiler

Compiled 2614 to 1567 computations (40.1% saved)

simplify80.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

231 → 231

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5330	3055

prune159.0ms (1.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	231	0	231
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	231	5	236

Error

Counts

236 → 5

Compiler

Compiled 3638 to 638 computations (82.5% saved)

regimes794.0ms (7.4%)

Accuracy

Total 1.2b remaining (99.8%)

Threshold costs 0b (0%)

Compiler

Compiled 6141 to 4817 computations (21.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	16
1	24	16

end0.0ms (0%)

sample1.7s (16%)

Algorithm

1×

intervals

Results

351.0ms	7996×	body	128	valid
36.0ms	727×	body	128	invalid
0.0ms	2×	body	2048	valid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 880 to 697 computations (20.8% saved)

Details

analyze1.2s (11.3%)

sample30.0ms (0.3%)

simplify497.0ms (4.7%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite117.0ms (1.1%)

series1.1s (9.9%)

simplify82.0ms (0.8%)

prune132.0ms (1.2%)

localize20.0ms (0.2%)

rewrite292.0ms (2.7%)

series1.2s (11%)

simplify153.0ms (1.4%)

prune253.0ms (2.4%)

localize8.0ms (0.1%)

rewrite144.0ms (1.3%)

series1.1s (10.3%)

simplify105.0ms (1%)

prune142.0ms (1.3%)

localize14.0ms (0.1%)

rewrite202.0ms (1.9%)

series1.2s (11.2%)

simplify80.0ms (0.7%)

prune159.0ms (1.5%)

regimes794.0ms (7.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.7s (16%)

Profiling