Details

analyze1.0s (15.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4984	91
1	4984	91
0	4	4
1	4	4

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
17.2%	82.7%	0.2%	9
22.6%	77.2%	0.2%	10
25.7%	74.1%	0.2%	11
28.3%	69.9%	1.9%	12
40.1%	55.3%	4.6%	13
44.4%	49.9%	5.8%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample22.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	55×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify56.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	734	13
1	734	13

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

1.8b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
5.8b	(*.f64 (-.f64 y x) (/.f64 z t))

rewrite64.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

17×	`add-sqr-sqrt_binary64_13740`
13×	`associate-r_binary64_13658`
12×	`*-un-lft-identity_binary64_13718`
10×	`add-cube-cbrt_binary64_13753` `times-frac_binary64_13724`
7×	`add-exp-log_binary64_13756` `add-cbrt-cube_binary64_13754`
5×	`associate-l_binary64_13659`
4×	`pow1_binary64_13779` `add-log-exp_binary64_13757`
2×	`prod-exp_binary64_13767` `cbrt-unprod_binary64_13751` `flip3--_binary64_13722` `frac-times_binary64_13728` `flip--_binary64_13693` `unswap-sqr_binary64_13686` `associate-*l/_binary64_13661`
1×	`pow-prod-down_binary64_13789` `div-exp_binary64_13769` `cbrt-undiv_binary64_13752` `associate-r/_binary64_13660` `difference-of-squares_binary64_13687` `distribute-lft-out--_binary64_13670` `div-inv_binary64_13715` `-commutative_binary64_13649` `sum-log_binary64_13809` `flip3-+_binary64_13721` `flip-+_binary64_13692` `+-commutative_binary64_13648`

Counts

2 → 49

Calls

2 calls:

10.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
4.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

Compiler

Compiled 861 to 228 computations (73.5% saved)

series509.0ms (7.8%)

Error

0.0b

Counts

2 → 42

Calls

2 calls:

273.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
210.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

Compiler

Compiled 1118 to 645 computations (42.3% saved)

simplify76.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5762	1171

prune62.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	86	5	91
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	86	6	92

Error

Counts

92 → 6

Compiler

Compiled 1159 to 257 computations (77.8% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 z (/.f64 (-.f64 y x) t)))
0.0b	(/.f64 (-.f64 y x) t)
6.8b	(*.f64 z (/.f64 (-.f64 y x) t))

rewrite87.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

42×	`add-sqr-sqrt_binary64_13740`
37×	`*-un-lft-identity_binary64_13718`
31×	`times-frac_binary64_13724`
23×	`add-cube-cbrt_binary64_13753`
19×	`associate-r_binary64_13658`
10×	`add-exp-log_binary64_13756` `add-cbrt-cube_binary64_13754`
7×	`difference-of-squares_binary64_13687` `distribute-lft-out--_binary64_13670`
5×	`pow1_binary64_13779` `add-log-exp_binary64_13757` `associate-/l*_binary64_13663`
3×	`associate-l_binary64_13659` `associate-/r*_binary64_13662`
2×	`div-exp_binary64_13769` `prod-exp_binary64_13767` `cbrt-unprod_binary64_13751` `cbrt-undiv_binary64_13752` `unswap-sqr_binary64_13686` `div-inv_binary64_13715` `associate-/l/_binary64_13665`
1×	`pow-prod-down_binary64_13789` `associate-r/_binary64_13660` `-commutative_binary64_13649` `frac-2neg_binary64_13729` `div-sub_binary64_13723` `clear-num_binary64_13717` `flip3--_binary64_13722` `flip--_binary64_13693` `sum-log_binary64_13809` `flip3-+_binary64_13721` `flip-+_binary64_13692` `+-commutative_binary64_13648`

Counts

3 → 87

Calls

3 calls:

13.0ms	(*.f64 z (/.f64 (-.f64 y x) t))
6.0ms	(/.f64 (-.f64 y x) t)
3.0ms	(+.f64 x (*.f64 z (/.f64 (-.f64 y x) t)))

Compiler

Compiled 1505 to 390 computations (74.1% saved)

series618.0ms (9.5%)

Error

Counts

3 → 57

Calls

3 calls:

275.0ms	(+.f64 x (*.f64 z (/.f64 (-.f64 y x) t)))
209.0ms	(*.f64 z (/.f64 (-.f64 y x) t))
110.0ms	(/.f64 (-.f64 y x) t)

Compiler

Compiled 1499 to 877 computations (41.5% saved)

simplify77.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4994	1752
1	4994	1752

prune86.0ms (1.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	144	6	150

Error

Counts

150 → 6

Compiler

Compiled 1876 to 376 computations (80% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 z (-.f64 y x)) (/.f64 1 t)))
0.0b	(*.f64 z (-.f64 y x))
6.4b	(.f64 (.f64 z (-.f64 y x)) (/.f64 1 t))

rewrite95.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

27×	`add-exp-log_binary64_13756`
18×	`add-sqr-sqrt_binary64_13740` `associate-r_binary64_13658`
17×	`add-cbrt-cube_binary64_13754`
16×	`*-un-lft-identity_binary64_13718`
14×	`add-cube-cbrt_binary64_13753`
13×	`prod-exp_binary64_13767`
10×	`pow1_binary64_13779`
9×	`times-frac_binary64_13724`
7×	`cbrt-unprod_binary64_13751` `associate-*r/_binary64_13660`
6×	`cancel-sign-sub-inv_binary64_13684`
5×	`add-log-exp_binary64_13757`
4×	`pow-prod-down_binary64_13789` `div-exp_binary64_13769` `associate-l_binary64_13659` `distribute-rgt-in_binary64_13668` `distribute-lft-in_binary64_13667`
3×	`flip3--_binary64_13722` `flip--_binary64_13693`
2×	`1-exp_binary64_13762` `rec-exp_binary64_13768` `cbrt-undiv_binary64_13752` `frac-times_binary64_13728` `associate-l/_binary64_13661` `-commutative_binary64_13649` `sub-neg_binary64_13711`
1×	`un-div-inv_binary64_13716` `div-inv_binary64_13715` `unswap-sqr_binary64_13686` `difference-of-squares_binary64_13687` `distribute-lft-out--_binary64_13670` `sum-log_binary64_13809` `flip3-+_binary64_13721` `flip-+_binary64_13692` `+-commutative_binary64_13648`

Counts

3 → 83

Calls

3 calls:

11.0ms	(.f64 (.f64 z (-.f64 y x)) (/.f64 1 t))
7.0ms	(*.f64 z (-.f64 y x))
4.0ms	(+.f64 x (.f64 (.f64 z (-.f64 y x)) (/.f64 1 t)))

Compiler

Compiled 1567 to 674 computations (57% saved)

series614.0ms (9.5%)

Error

Counts

3 → 57

Calls

3 calls:

285.0ms	(+.f64 x (.f64 (.f64 z (-.f64 y x)) (/.f64 1 t)))
204.0ms	(.f64 (.f64 z (-.f64 y x)) (/.f64 1 t))
95.0ms	(*.f64 z (-.f64 y x))

Compiler

Compiled 1571 to 963 computations (38.7% saved)

simplify64.0ms (1%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5312	1579

prune91.0ms (1.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	139	1	140
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	140	6	146

Error

Counts

146 → 6

Compiler

Compiled 1791 to 523 computations (70.8% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 t (+.f64 x y))
3.3b	(-.f64 (.f64 y y) (.f64 x x))
9.1b	(.f64 z (-.f64 (.f64 y y) (*.f64 x x)))
22.2b	(/.f64 (.f64 z (-.f64 (.f64 y y) (.f64 x x))) (.f64 t (+.f64 x y)))

rewrite101.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`add-exp-log_binary64_13756` `add-cbrt-cube_binary64_13754`
12×	`add-sqr-sqrt_binary64_13740`
10×	`*-un-lft-identity_binary64_13718`
8×	`pow1_binary64_13779` `add-cube-cbrt_binary64_13753` `associate-r/_binary64_13660` `associate-r*_binary64_13658`
6×	`prod-exp_binary64_13767` `add-log-exp_binary64_13757` `cbrt-unprod_binary64_13751` `associate-l_binary64_13659`
4×	`div-exp_binary64_13769` `cbrt-undiv_binary64_13752`
3×	`flip3--_binary64_13722` `flip--_binary64_13693` `sub-neg_binary64_13711` `distribute-rgt-in_binary64_13668` `cancel-sign-sub-inv_binary64_13684` `distribute-lft-in_binary64_13667`
2×	`associate-/l/_binary64_13665` `flip3-+_binary64_13721` `associate-/r/_binary64_13664` `flip-+_binary64_13692` `pow-prod-down_binary64_13789` `unswap-sqr_binary64_13686` `difference-of-squares_binary64_13687` `*-commutative_binary64_13649`
1×	`frac-2neg_binary64_13729` `times-frac_binary64_13724` `clear-num_binary64_13717` `div-inv_binary64_13715` `associate-/l_binary64_13663` `associate-/r_binary64_13662` `diff-log_binary64_13810` `distribute-lft-out_binary64_13669`

Counts

4 → 86

Calls

4 calls:

12.0ms	(/.f64 (.f64 z (-.f64 (.f64 y y) (.f64 x x))) (.f64 t (+.f64 x y)))
7.0ms	(.f64 z (-.f64 (.f64 y y) (*.f64 x x)))
6.0ms	(*.f64 t (+.f64 x y))
4.0ms	(-.f64 (.f64 y y) (.f64 x x))

Compiler

Compiled 2219 to 419 computations (81.1% saved)

series808.0ms (12.5%)

Error

Counts

4 → 60

Calls

4 calls:

398.0ms	(/.f64 (.f64 z (-.f64 (.f64 y y) (.f64 x x))) (.f64 t (+.f64 x y)))
185.0ms	(.f64 z (-.f64 (.f64 y y) (*.f64 x x)))
100.0ms	(-.f64 (.f64 y y) (.f64 x x))
88.0ms	(*.f64 t (+.f64 x y))

Compiler

Compiled 2472 to 1500 computations (39.3% saved)

simplify46.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5077	1750

prune96.0ms (1.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	145	1	146
Fresh	1	1	2
Picked	0	1	1
Done	0	3	3
Total	146	6	152

Error

Counts

152 → 6

Compiler

Compiled 2652 to 522 computations (80.3% saved)

regimes480.0ms (7.4%)

Accuracy

Total 1.5b remaining (99.8%)

Threshold costs 0b (0%)

Compiler

Compiled 3782 to 2920 computations (22.8% saved)

bsearch49.0ms (0.8%)

Steps

Iters	Range		Point
8	3.8910679685634896e+24	1.0615689564736622e+29	8.347533906232645e+26
10	-9.318552151899877e+66	-3.521566774811744e+56	-6.782228991255126e+59

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	82
1	45	82

end0.0ms (0%)

sample1.3s (20.6%)

Algorithm

1×

intervals

Results

262.0ms	8000×	body	128	valid
67.0ms	2049×	body	128	invalid

Compiler

Compiled 735 to 535 computations (27.2% saved)

Details

analyze1.0s (15.5%)

sample22.0ms (0.3%)

simplify56.0ms (0.9%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite64.0ms (1%)

series509.0ms (7.8%)

simplify76.0ms (1.2%)

prune62.0ms (1%)

localize7.0ms (0.1%)

rewrite87.0ms (1.3%)

series618.0ms (9.5%)

simplify77.0ms (1.2%)

prune86.0ms (1.3%)

localize8.0ms (0.1%)

rewrite95.0ms (1.5%)

series614.0ms (9.5%)

simplify64.0ms (1%)

prune91.0ms (1.4%)

localize11.0ms (0.2%)

rewrite101.0ms (1.6%)

series808.0ms (12.5%)

simplify46.0ms (0.7%)

prune96.0ms (1.5%)

regimes480.0ms (7.4%)

bsearch49.0ms (0.8%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.3s (20.6%)

Profiling