Details

analyze2.1s (11%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5039	616
0	7	7
1	7	7

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0%	99.7%	0.3%	13
0%	99.7%	0.3%	14

Symmetry

sort(x y)

sort(t a)

Compiler

Compiled 20 to 19 computations (5% saved)

sample72.0ms (0.4%)

Algorithm

1×

intervals

Results

22.0ms	256×	body	128	valid
7.0ms	140×	body	128	invalid

Compiler

Compiled 39 to 44 computations (-12.8% saved)

simplify68.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4917	25
1	4917	25

prune5.0ms (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 → 2

Compiler

Compiled 53 to 52 computations (1.9% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 t a) -4)
0.2b	(.f64 (.f64 x 9) y)
3.9b	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
9.2b	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)

rewrite183.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

7.1b

Rules

22×	`add-cube-cbrt_binary64_21255` `add-sqr-sqrt_binary64_21242` `*-un-lft-identity_binary64_21220`
18×	`add-exp-log_binary64_21258` `add-cbrt-cube_binary64_21256` `times-frac_binary64_21226`
14×	`pow1_binary64_21281`
6×	`associate-/l_binary64_21165` `associate-/r_binary64_21164` `pow-prod-down_binary64_21291` `prod-exp_binary64_21269` `cbrt-unprod_binary64_21253` `associate-r_binary64_21160`
4×	`add-log-exp_binary64_21259` `associate-/l/_binary64_21167`
2×	`div-exp_binary64_21271` `cbrt-undiv_binary64_21254` `frac-2neg_binary64_21231` `clear-num_binary64_21219` `div-inv_binary64_21217` `flip3-+_binary64_21223` `flip-+_binary64_21194` `associate-l_binary64_21161` `*-commutative_binary64_21151`

Counts

4 → 94

Calls

4 calls:

14.0ms	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)
8.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
5.0ms	(.f64 (.f64 x 9) y)
5.0ms	(.f64 (.f64 t a) -4)

Compiler

Compiled 2606 to 1492 computations (42.7% saved)

series1.3s (6.7%)

Error

6.5b

Counts

4 → 72

Calls

4 calls:

865.0ms	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)
226.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
58.0ms	(.f64 (.f64 t a) -4)
49.0ms	(.f64 (.f64 x 9) y)

Compiler

Compiled 3259 to 2406 computations (26.2% saved)

simplify87.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4958	3111
1	4958	3111

prune194.0ms (1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	154	12	166
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	155	13	168

Error

6.3b

Counts

168 → 13

Compiler

Compiled 3716 to 1970 computations (47% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 t a) -4)
0.2b	(.f64 (.f64 x 9) y)
3.9b	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
9.3b	(.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (*.f64 t a) -4)) (/.f64 1 c))

rewrite187.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

6.3b

Rules

29×	`add-sqr-sqrt_binary64_21242`
25×	`add-exp-log_binary64_21258`
23×	`*-un-lft-identity_binary64_21220`
22×	`add-cube-cbrt_binary64_21255`
21×	`add-cbrt-cube_binary64_21256`
20×	`times-frac_binary64_21226`
19×	`associate-r_binary64_21160`
16×	`pow1_binary64_21281`
10×	`prod-exp_binary64_21269`
8×	`cbrt-unprod_binary64_21253`
7×	`pow-prod-down_binary64_21291`
5×	`associate-l_binary64_21161`
4×	`add-log-exp_binary64_21259`
3×	`div-exp_binary64_21271` `flip3-+_binary64_21223` `flip-+_binary64_21194` `unswap-sqr_binary64_21188` `-commutative_binary64_21151` `associate-/l_binary64_21165` `associate-/r*_binary64_21164`
2×	`cbrt-undiv_binary64_21254` `frac-times_binary64_21230` `associate-*l/_binary64_21163` `div-inv_binary64_21217` `associate-/l/_binary64_21167`
1×	`1-exp_binary64_21264` `rec-exp_binary64_21270` `un-div-inv_binary64_21218` `associate-*r/_binary64_21162` `frac-2neg_binary64_21231` `clear-num_binary64_21219`

Counts

4 → 105

Calls

4 calls:

18.0ms	(.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (*.f64 t a) -4)) (/.f64 1 c))
9.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
6.0ms	(.f64 (.f64 t a) -4)
5.0ms	(.f64 (.f64 x 9) y)

Compiler

Compiled 3101 to 1887 computations (39.1% saved)

series1.3s (6.7%)

Error

6.3b

Counts

4 → 72

Calls

4 calls:

857.0ms	(.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (*.f64 t a) -4)) (/.f64 1 c))
233.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
59.0ms	(.f64 (.f64 t a) -4)
58.0ms	(.f64 (.f64 x 9) y)

Compiler

Compiled 3439 to 2586 computations (24.8% saved)

simplify82.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5378	3442

prune196.0ms (1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	174	3	177
Fresh	3	9	12
Picked	1	0	1
Done	0	0	0
Total	178	12	190

Error

6.3b

Counts

190 → 12

Compiler

Compiled 4240 to 2301 computations (45.7% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 9 (.f64 x y))
0.3b	(/.f64 1 (/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))))
3.9b	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)
9.2b	(/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)))

rewrite301.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

6.3b

Rules

99×	`times-frac_binary64_21226`
65×	`add-cube-cbrt_binary64_21255` `add-sqr-sqrt_binary64_21242` `*-un-lft-identity_binary64_21220`
24×	`add-exp-log_binary64_21258`
21×	`associate-/r*_binary64_21164`
18×	`add-cbrt-cube_binary64_21256`
11×	`associate-/r/_binary64_21166`
10×	`pow1_binary64_21281`
9×	`div-exp_binary64_21271` `associate-/l*_binary64_21165`
7×	`div-inv_binary64_21217`
6×	`flip3-+_binary64_21223` `flip-+_binary64_21194`
5×	`cbrt-undiv_binary64_21254`
4×	`add-log-exp_binary64_21259`
3×	`frac-2neg_binary64_21231` `clear-num_binary64_21219` `pow-prod-down_binary64_21291` `prod-exp_binary64_21269` `cbrt-unprod_binary64_21253` `associate-l_binary64_21161`
2×	`associate-/l/_binary64_21167` `1-exp_binary64_21264` `rec-exp_binary64_21270`
1×	`inv-pow_binary64_21305` `pow-flip_binary64_21294` `associate-r_binary64_21160` `*-commutative_binary64_21151`

Counts

4 → 160

Calls

4 calls:

14.0ms	(/.f64 1 (/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))))
10.0ms	(/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)))
5.0ms	(.f64 9 (.f64 x y))
5.0ms	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)

Compiler

Compiled 5784 to 3212 computations (44.5% saved)

series2.0s (10.6%)

Error

6.3b

Counts

4 → 105

Calls

4 calls:

854.0ms	(/.f64 1 (/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))))
758.0ms	(/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)))
227.0ms	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)
52.0ms	(.f64 9 (.f64 x y))

Compiler

Compiled 6842 to 5040 computations (26.3% saved)

simplify122.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

265 → 265

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4967	8222
1	4967	8222

prune373.0ms (2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	261	4	265
Fresh	3	8	11
Picked	1	0	1
Done	0	0	0
Total	265	12	277

Error

6.3b

Counts

277 → 12

Compiler

Compiled 7560 to 3820 computations (49.5% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 1 (.f64 c (/.f64 1 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (*.f64 t a) -4)))))
0.6b	(/.f64 1 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)))
3.9b	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)
8.5b	(.f64 c (/.f64 1 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (*.f64 t a) -4))))

rewrite508.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

6.3b

Rules

54×	`add-exp-log_binary64_21258`
37×	`add-sqr-sqrt_binary64_21242`
32×	`times-frac_binary64_21226`
31×	`*-un-lft-identity_binary64_21220`
30×	`add-cube-cbrt_binary64_21255`
22×	`add-cbrt-cube_binary64_21256`
21×	`div-exp_binary64_21271`
16×	`prod-exp_binary64_21269`
15×	`associate-r_binary64_21160`
10×	`pow1_binary64_21281` `1-exp_binary64_21264` `rec-exp_binary64_21270`
9×	`associate-/l*_binary64_21165`
7×	`cbrt-undiv_binary64_21254` `associate-/r*_binary64_21164`
6×	`associate-/r/_binary64_21166`
4×	`add-log-exp_binary64_21259` `cbrt-unprod_binary64_21253` `div-inv_binary64_21217`
3×	`unswap-sqr_binary64_21188` `associate-l_binary64_21161` `flip3-+_binary64_21223` `flip-+_binary64_21194` `frac-2neg_binary64_21231` `clear-num_binary64_21219` `pow-flip_binary64_21294`
2×	`pow-prod-down_binary64_21291` `un-div-inv_binary64_21218` `associate-*r/_binary64_21162` `associate-/l/_binary64_21167` `inv-pow_binary64_21305`
1×	`*-commutative_binary64_21151`

Counts

4 → 140

Calls

4 calls:

247.0ms	(/.f64 1 (.f64 c (/.f64 1 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (*.f64 t a) -4)))))
16.0ms	(.f64 c (/.f64 1 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (*.f64 t a) -4))))
11.0ms	(/.f64 1 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)))
6.0ms	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)

Compiler

Compiled 4743 to 2787 computations (41.2% saved)

series2.4s (12.8%)

Error

6.3b

Counts

4 → 131

Calls

4 calls:

815.0ms	(/.f64 1 (.f64 c (/.f64 1 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (*.f64 t a) -4)))))
781.0ms	(.f64 c (/.f64 1 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (*.f64 t a) -4))))
465.0ms	(/.f64 1 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)))
234.0ms	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)

Compiler

Compiled 9410 to 7032 computations (25.3% saved)

simplify116.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

271 → 271

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4999	7172
1	4999	7172

prune332.0ms (1.8%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	267	4	271
Fresh	1	10	11
Picked	0	1	1
Done	0	0	0
Total	268	15	283

Error

6.3b

Counts

283 → 15

Compiler

Compiled 6806 to 3380 computations (50.3% saved)

regimes3.0s (15.8%)

Accuracy

Total 1.4b remaining (20.7%)

Threshold costs 0b (0%)

Compiler

Compiled 33528 to 28724 computations (14.3% saved)

bsearch9.0ms (0%)

Compiler: Compiled 19 to 18 computations (5.3% saved)

simplify67.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	122	272
1	122	272

Removed

((sort x y))

Compiler

Compiled 1098 to 684 computations (37.7% saved)

end0.0ms (0%)

sample3.9s (20.7%)

Algorithm

1×

intervals

Results

472.0ms	8000×	body	128	valid
272.0ms	4691×	body	128	invalid

Compiler

Compiled 3491 to 2878 computations (17.6% saved)

Details

analyze2.1s (11%)

sample72.0ms (0.4%)

simplify68.0ms (0.4%)

prune5.0ms (0%)

localize13.0ms (0.1%)

rewrite183.0ms (1%)

series1.3s (6.7%)

simplify87.0ms (0.5%)

prune194.0ms (1%)

localize16.0ms (0.1%)

rewrite187.0ms (1%)

series1.3s (6.7%)

simplify82.0ms (0.4%)

prune196.0ms (1%)

localize14.0ms (0.1%)

rewrite301.0ms (1.6%)

series2.0s (10.6%)

simplify122.0ms (0.7%)

prune373.0ms (2%)

localize15.0ms (0.1%)

rewrite508.0ms (2.7%)

series2.4s (12.8%)

simplify116.0ms (0.6%)

prune332.0ms (1.8%)

regimes3.0s (15.8%)

bsearch9.0ms (0%)

simplify67.0ms (0.4%)

end0.0ms (0%)

sample3.9s (20.7%)

Profiling