Details

analyze1.8s (14%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4887	176
1	4887	176
0	5	5
1	5	5

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
0%	99.8%	0.2%	8
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	9
4.7%	95.1%	0.2%	10
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
24.9%	74.9%	0.2%	13
26.2%	73.6%	0.2%	14
26.2%	73.6%	0.2%	14

Compiler

Compiled 24 to 22 computations (8.3% saved)

sample231.0ms (1.8%)

Algorithm

2×

intervals

Results

18.0ms	512×	body	128	valid
2.0ms	35×	body	128	invalid

Compiler

Compiled 3239 to 4314 computations (-33.2% saved)

simplify278.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (273.0ms)

Iter	Nodes	Cost
0	5693	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

11.6b

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))
11.6b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))

rewrite106.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-sqr-sqrt_binary64_14763` `*-un-lft-identity_binary64_14741`
10×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
9×	`add-cube-cbrt_binary64_14776`
6×	`cancel-sign-sub-inv_binary64_14707`
5×	`pow1_binary64_14802` `add-log-exp_binary64_14780` `times-frac_binary64_14747` `associate-/r_binary64_14685` `associate-r*_binary64_14681`
4×	`associate-*r/_binary64_14683` `distribute-rgt-in_binary64_14691` `distribute-lft-in_binary64_14690`
3×	`difference-of-squares_binary64_14710` `distribute-lft-out--_binary64_14693` `flip3--_binary64_14745` `flip--_binary64_14716` `associate-l_binary64_14682`
2×	`prod-exp_binary64_14790` `div-exp_binary64_14792` `cbrt-undiv_binary64_14775` `cbrt-unprod_binary64_14774` `associate-/l/_binary64_14688` `associate-/r/_binary64_14687` `sub-neg_binary64_14734`
1×	`frac-2neg_binary64_14752` `clear-num_binary64_14740` `div-inv_binary64_14738` `associate-/l_binary64_14686` `pow-prod-down_binary64_14812` `unswap-sqr_binary64_14709` `-commutative_binary64_14672` `sum-log_binary64_14832` `flip3-+_binary64_14744` `flip-+_binary64_14715` `distribute-lft-out_binary64_14692` `+-commutative_binary64_14671`

Counts

3 → 71

Calls

3 calls:

10.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))
10.0ms	(*.f64 y (-.f64 z t))
8.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t)))

Compiler

Compiled 1337 to 337 computations (74.8% saved)

series1.2s (9.2%)

Error

0.0b

Counts

3 → 68

Calls

3 calls:

623.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t)))
353.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))
154.0ms	(*.f64 y (-.f64 z t))

Compiler

Compiled 2680 to 1533 computations (42.8% saved)

simplify84.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4970	1924
1	4970	1924

prune117.0ms (0.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	135	4	139
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	136	4	140

Error

0.0b

Counts

140 → 4

Compiler

Compiled 1976 to 376 computations (81% saved)

localize8.0ms (0.1%)

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))
1.9b	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

rewrite271.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

218×	`times-frac_binary64_14747`
197×	`*-un-lft-identity_binary64_14741`
195×	`add-sqr-sqrt_binary64_14763`
91×	`add-cube-cbrt_binary64_14776`
52×	`difference-of-squares_binary64_14710` `distribute-lft-out--_binary64_14693`
36×	`associate-/r*_binary64_14685`
11×	`associate-/r/_binary64_14687`
10×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
8×	`associate-/l*_binary64_14686`
6×	`div-inv_binary64_14738` `flip3--_binary64_14745` `flip--_binary64_14716`
5×	`add-log-exp_binary64_14780`
4×	`div-exp_binary64_14792` `cbrt-undiv_binary64_14775`
3×	`pow1_binary64_14802`
2×	`frac-2neg_binary64_14752` `clear-num_binary64_14740` `associate-/l/_binary64_14688`
1×	`div-sub_binary64_14746` `sum-log_binary64_14832` `flip3-+_binary64_14744` `flip-+_binary64_14715` `distribute-lft-out_binary64_14692` `+-commutative_binary64_14671`

Counts

3 → 206

Calls

3 calls:

30.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
15.0ms	(/.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)

series1.6s (12.1%)

Error

0.0b

Counts

3 → 76

Calls

3 calls:

666.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
550.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))
285.0ms	(/.f64 (-.f64 a t) (-.f64 z t))

Compiler

Compiled 3436 to 2079 computations (39.5% saved)

simplify107.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

282 → 282

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5057	6448

prune248.0ms (1.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	281	1	282
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	281	5	286

Error

Counts

286 → 5

Compiler

Compiled 5522 to 883 computations (84% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
2.1b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

rewrite141.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

76×	`add-sqr-sqrt_binary64_14763`
71×	`*-un-lft-identity_binary64_14741`
51×	`times-frac_binary64_14747`
31×	`associate-r_binary64_14681`
27×	`add-cube-cbrt_binary64_14776`
22×	`difference-of-squares_binary64_14710` `distribute-lft-out--_binary64_14693`
10×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
5×	`pow1_binary64_14802` `add-log-exp_binary64_14780` `associate-/l_binary64_14686` `associate-/r_binary64_14685`
4×	`associate-/r/_binary64_14687`
3×	`associate-l_binary64_14682` `flip3--_binary64_14745` `flip--_binary64_14716`
2×	`div-exp_binary64_14792` `prod-exp_binary64_14790` `cbrt-unprod_binary64_14774` `cbrt-undiv_binary64_14775` `unswap-sqr_binary64_14709` `div-inv_binary64_14738` `associate-/l/_binary64_14688`
1×	`pow-prod-down_binary64_14812` `associate-r/_binary64_14683` `-commutative_binary64_14672` `frac-2neg_binary64_14752` `div-sub_binary64_14746` `clear-num_binary64_14740` `sum-log_binary64_14832` `flip3-+_binary64_14744` `flip-+_binary64_14715` `+-commutative_binary64_14671`

Counts

3 → 113

Calls

3 calls:

16.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
9.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
3.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))

Compiler

Compiled 2369 to 535 computations (77.4% saved)

series1.2s (9.3%)

Error

Counts

3 → 71

Calls

3 calls:

624.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
319.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
198.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

Compiler

Compiled 2984 to 1774 computations (40.5% saved)

simplify91.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4969	3023
1	4969	3023

prune142.0ms (1.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	184	0	184
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	184	5	189

Error

Counts

189 → 5

Compiler

Compiled 3017 to 602 computations (80% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (/.f64 y (-.f64 a t)) (/.f64 1 (-.f64 z t))))
0.0b	(/.f64 1 (-.f64 z t))
9.1b	(/.f64 (/.f64 y (-.f64 a t)) (/.f64 1 (-.f64 z t)))

rewrite1.2s (9.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

1116×	`times-frac_binary64_14747`
683×	`*-un-lft-identity_binary64_14741`
681×	`add-sqr-sqrt_binary64_14763`
409×	`add-cube-cbrt_binary64_14776`
136×	`difference-of-squares_binary64_14710` `distribute-lft-out--_binary64_14693`
91×	`associate-/r/_binary64_14687`
46×	`div-inv_binary64_14738`
45×	`flip3--_binary64_14745` `flip--_binary64_14716`
29×	`add-exp-log_binary64_14779`
26×	`associate-/r*_binary64_14685`
24×	`associate-/l*_binary64_14686`
18×	`div-exp_binary64_14792`
17×	`add-cbrt-cube_binary64_14777`
9×	`cbrt-undiv_binary64_14775`
5×	`add-log-exp_binary64_14780`
4×	`pow1_binary64_14802`
3×	`1-exp_binary64_14785` `rec-exp_binary64_14791`
2×	`frac-2neg_binary64_14752` `clear-num_binary64_14740`
1×	`associate-/l/_binary64_14688` `inv-pow_binary64_14826` `pow-flip_binary64_14815` `sum-log_binary64_14832` `flip3-+_binary64_14744` `flip-+_binary64_14715` `distribute-lft-out_binary64_14692` `+-commutative_binary64_14671`

Counts

3 → 560

Calls

3 calls:

111.0ms	(+.f64 x (/.f64 (/.f64 y (-.f64 a t)) (/.f64 1 (-.f64 z t))))
28.0ms	(/.f64 (/.f64 y (-.f64 a t)) (/.f64 1 (-.f64 z t)))
6.0ms	(/.f64 1 (-.f64 z t))

Compiler

Compiled 16871 to 6147 computations (63.6% saved)

series1.1s (8.5%)

Error

Counts

3 → 71

Calls

3 calls:

605.0ms	(+.f64 x (/.f64 (/.f64 y (-.f64 a t)) (/.f64 1 (-.f64 z t))))
359.0ms	(/.f64 (/.f64 y (-.f64 a t)) (/.f64 1 (-.f64 z t)))
82.0ms	(/.f64 1 (-.f64 z t))

Compiler

Compiled 2995 to 1813 computations (39.5% saved)

simplify195.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

631 → 631

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5160	20012

prune701.0ms (5.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	631	0	631
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	631	5	636

Error

Counts

636 → 5

Compiler

Compiled 15440 to 3507 computations (77.3% saved)

regimes650.0ms (5.1%)

Accuracy

Total 1.2b remaining (99.8%)

Threshold costs 0b (0%)

Compiler

Compiled 5915 to 4539 computations (23.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	16
1	24	16

end0.0ms (0%)

sample1.4s (11.1%)

Algorithm

1×

intervals

Results

305.0ms	8000×	body	128	valid
25.0ms	741×	body	128	invalid

Compiler

Compiled 853 to 660 computations (22.6% saved)

Details

analyze1.8s (14%)

sample231.0ms (1.8%)

simplify278.0ms (2.2%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite106.0ms (0.8%)

series1.2s (9.2%)

simplify84.0ms (0.7%)

prune117.0ms (0.9%)

localize8.0ms (0.1%)

rewrite271.0ms (2.1%)

series1.6s (12.1%)

simplify107.0ms (0.8%)

prune248.0ms (1.9%)

localize8.0ms (0.1%)

rewrite141.0ms (1.1%)

series1.2s (9.3%)

simplify91.0ms (0.7%)

prune142.0ms (1.1%)

localize9.0ms (0.1%)

rewrite1.2s (9.2%)

series1.1s (8.5%)

simplify195.0ms (1.5%)

prune701.0ms (5.5%)

regimes650.0ms (5.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.4s (11.1%)

Profiling