Details

analyze2.1s (10.5%)

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)

sample71.0ms (0.4%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
8.0ms	146×	body	128	invalid

Compiler

Compiled 39 to 44 computations (-12.8% saved)

simplify67.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (61.0ms)

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

6.2b

Counts

2 → 2

Compiler

Compiled 53 to 52 computations (1.9% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 9) y)
0.9b	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
2.2b	(/.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 (0.9%)

Algorithm

1×	rewrite-expression-head

Error

6.0b

Rules

21×	`add-cube-cbrt_binary64_21255` `add-sqr-sqrt_binary64_21242` `*-un-lft-identity_binary64_21220`
18×	`times-frac_binary64_21226`
13×	`add-exp-log_binary64_21258` `add-cbrt-cube_binary64_21256`
9×	`pow1_binary64_21281`
6×	`add-log-exp_binary64_21259` `associate-/l_binary64_21165` `associate-/r_binary64_21164`
4×	`associate-/l/_binary64_21167`
3×	`flip3-+_binary64_21223` `flip-+_binary64_21194` `pow-prod-down_binary64_21291` `prod-exp_binary64_21269` `cbrt-unprod_binary64_21253` `associate-r_binary64_21160`
2×	`div-exp_binary64_21271` `cbrt-undiv_binary64_21254` `frac-2neg_binary64_21231` `clear-num_binary64_21219` `div-inv_binary64_21217`
1×	`sum-log_binary64_21311` `+-commutative_binary64_21150` `associate-l_binary64_21161` `*-commutative_binary64_21151`

Counts

4 → 87

Calls

4 calls:

19.0ms	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)
12.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
9.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
5.0ms	(.f64 (.f64 x 9) y)

Compiler

Compiled 2574 to 1468 computations (43% saved)

series1.8s (8.8%)

Error

5.5b

Counts

4 → 102

Calls

4 calls:

859.0ms	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)
553.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
235.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
53.0ms	(.f64 (.f64 x 9) y)

Compiler

Compiled 4303 to 3195 computations (25.7% saved)

simplify91.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4945	3851
1	4945	3851

prune212.0ms (1.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	179	10	189
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	180	11	191

Error

5.4b

Counts

191 → 11

Compiler

Compiled 4054 to 2069 computations (49% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 9) y)
0.9b	(+.f64 (.f64 (+.f64 (.f64 (.f64 x 9) y) b) (/.f64 1 z)) (.f64 (*.f64 t a) -4))
2.4b	(.f64 (+.f64 (.f64 (*.f64 x 9) y) b) (/.f64 1 z))
9.2b	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 x 9) y) b) (/.f64 1 z)) (.f64 (*.f64 t a) -4)) c)

rewrite194.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

5.4b

Rules

28×	`add-sqr-sqrt_binary64_21242`
22×	`*-un-lft-identity_binary64_21220`
21×	`add-cube-cbrt_binary64_21255`
20×	`add-exp-log_binary64_21258` `times-frac_binary64_21226`
16×	`add-cbrt-cube_binary64_21256` `associate-r_binary64_21160`
11×	`pow1_binary64_21281`
7×	`prod-exp_binary64_21269`
6×	`add-log-exp_binary64_21259`
5×	`cbrt-unprod_binary64_21253`
4×	`flip3-+_binary64_21223` `flip-+_binary64_21194` `pow-prod-down_binary64_21291` `associate-l_binary64_21161`
3×	`div-exp_binary64_21271` `associate-/l_binary64_21165` `associate-/r_binary64_21164` `unswap-sqr_binary64_21188`
2×	`cbrt-undiv_binary64_21254` `div-inv_binary64_21217` `associate-/l/_binary64_21167` `frac-times_binary64_21230` `associate-l/_binary64_21163` `-commutative_binary64_21151`
1×	`frac-2neg_binary64_21231` `clear-num_binary64_21219` `1-exp_binary64_21264` `rec-exp_binary64_21270` `un-div-inv_binary64_21218` `associate-*r/_binary64_21162` `sum-log_binary64_21311` `+-commutative_binary64_21150`

Counts

4 → 98

Calls

4 calls:

15.0ms	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 x 9) y) b) (/.f64 1 z)) (.f64 (*.f64 t a) -4)) c)
13.0ms	(.f64 (+.f64 (.f64 (*.f64 x 9) y) b) (/.f64 1 z))
12.0ms	(+.f64 (.f64 (+.f64 (.f64 (.f64 x 9) y) b) (/.f64 1 z)) (.f64 (*.f64 t a) -4))
8.0ms	(.f64 (.f64 x 9) y)

Compiler

Compiled 3115 to 1911 computations (38.7% saved)

series1.8s (9%)

Error

5.4b

Counts

4 → 102

Calls

4 calls:

884.0ms	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 x 9) y) b) (/.f64 1 z)) (.f64 (*.f64 t a) -4)) c)
564.0ms	(+.f64 (.f64 (+.f64 (.f64 (.f64 x 9) y) b) (/.f64 1 z)) (.f64 (*.f64 t a) -4))
233.0ms	(.f64 (+.f64 (.f64 (*.f64 x 9) y) b) (/.f64 1 z))
58.0ms	(.f64 (.f64 x 9) y)

Compiler

Compiled 4339 to 3231 computations (25.5% saved)

simplify88.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5610	4143

prune205.0ms (1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	199	1	200
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	200	11	211

Error

5.4b

Counts

211 → 11

Compiler

Compiled 4472 to 2240 computations (49.9% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 9) y)
0.9b	(+.f64 (.f64 (+.f64 (.f64 (.f64 x 9) y) b) (/.f64 1 z)) (.f64 (*.f64 t a) -4))
2.4b	(.f64 (+.f64 (.f64 (*.f64 x 9) y) b) (/.f64 1 z))
9.3b	(.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 x 9) y) b) (/.f64 1 z)) (.f64 (.f64 t a) -4)) (/.f64 1 c))

rewrite221.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

5.4b

Rules

35×	`add-sqr-sqrt_binary64_21242`
29×	`associate-r_binary64_21160`
27×	`add-exp-log_binary64_21258`
23×	`*-un-lft-identity_binary64_21220`
22×	`times-frac_binary64_21226`
21×	`add-cube-cbrt_binary64_21255`
19×	`add-cbrt-cube_binary64_21256`
13×	`pow1_binary64_21281`
11×	`prod-exp_binary64_21269`
7×	`cbrt-unprod_binary64_21253` `associate-l_binary64_21161`
6×	`add-log-exp_binary64_21259` `unswap-sqr_binary64_21188`
5×	`pow-prod-down_binary64_21291` `flip3-+_binary64_21223` `flip-+_binary64_21194`
4×	`div-exp_binary64_21271` `frac-times_binary64_21230` `associate-*l/_binary64_21163`
3×	`*-commutative_binary64_21151`
2×	`1-exp_binary64_21264` `rec-exp_binary64_21270` `cbrt-undiv_binary64_21254` `un-div-inv_binary64_21218` `associate-*r/_binary64_21162` `div-inv_binary64_21217`
1×	`sum-log_binary64_21311` `+-commutative_binary64_21150`

Counts

4 → 109

Calls

4 calls:

18.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 x 9) y) b) (/.f64 1 z)) (.f64 (.f64 t a) -4)) (/.f64 1 c))
15.0ms	(+.f64 (.f64 (+.f64 (.f64 (.f64 x 9) y) b) (/.f64 1 z)) (.f64 (*.f64 t a) -4))
13.0ms	(.f64 (+.f64 (.f64 (*.f64 x 9) y) b) (/.f64 1 z))
5.0ms	(.f64 (.f64 x 9) y)

Compiler

Compiled 3642 to 2338 computations (35.8% saved)

series1.8s (8.7%)

Error

5.4b

Counts

4 → 102

Calls

4 calls:

857.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 x 9) y) b) (/.f64 1 z)) (.f64 (.f64 t a) -4)) (/.f64 1 c))
530.0ms	(+.f64 (.f64 (+.f64 (.f64 (.f64 x 9) y) b) (/.f64 1 z)) (.f64 (*.f64 t a) -4))
235.0ms	(.f64 (+.f64 (.f64 (*.f64 x 9) y) b) (/.f64 1 z))
54.0ms	(.f64 (.f64 x 9) y)

Compiler

Compiled 4663 to 3556 computations (23.7% saved)

simplify97.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4974	4256
1	4974	4256

prune227.0ms (1.1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	209	2	211
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	210	12	222

Error

5.4b

Counts

222 → 12

Compiler

Compiled 4887 to 2678 computations (45.2% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.9b	(/.f64 1 (/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))))
0.9b	(+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))
2.2b	(/.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)))

rewrite518.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

5.4b

Rules

99×	`times-frac_binary64_21226`
64×	`add-cube-cbrt_binary64_21255` `add-sqr-sqrt_binary64_21242` `*-un-lft-identity_binary64_21220`
21×	`associate-/r*_binary64_21164`
19×	`add-exp-log_binary64_21258`
13×	`add-cbrt-cube_binary64_21256`
11×	`associate-/r/_binary64_21166`
9×	`div-exp_binary64_21271` `associate-/l*_binary64_21165`
7×	`div-inv_binary64_21217` `flip3-+_binary64_21223` `flip-+_binary64_21194`
6×	`add-log-exp_binary64_21259`
5×	`pow1_binary64_21281` `cbrt-undiv_binary64_21254`
3×	`frac-2neg_binary64_21231` `clear-num_binary64_21219`
2×	`associate-/l/_binary64_21167` `1-exp_binary64_21264` `rec-exp_binary64_21270`
1×	`sum-log_binary64_21311` `+-commutative_binary64_21150` `inv-pow_binary64_21305` `pow-flip_binary64_21294`

Counts

4 → 153

Calls

4 calls:

222.0ms	(/.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)))
9.0ms	(+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))
5.0ms	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)

Compiler

Compiled 5738 to 3171 computations (44.7% saved)

series2.5s (12.4%)

Error

5.4b

Counts

4 → 136

Calls

4 calls:

829.0ms	(/.f64 1 (/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))))
780.0ms	(/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)))
552.0ms	(+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))
213.0ms	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)

Compiler

Compiled 8084 to 5930 computations (26.6% saved)

simplify145.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

289 → 289

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4961	9306
1	4961	9306

prune387.0ms (1.9%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	287	2	289
Fresh	1	8	9
Picked	0	1	1
Done	0	2	2
Total	288	13	301

Error

5.4b

Counts

301 → 13

Compiler

Compiled 7890 to 3848 computations (51.2% saved)

regimes3.1s (15.4%)

Accuracy

Total 1.4b remaining (19.1%)

Threshold costs 0b (0%)

Compiler

Compiled 30192 to 26092 computations (13.6% saved)

bsearch6.0ms (0%)

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

simplify59.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	137	248
1	137	248

Compiler

Compiled 668 to 404 computations (39.5% saved)

end0.0ms (0%)

sample4.2s (21.1%)

Algorithm

1×

intervals

Results

493.0ms	8000×	body	128	valid
273.0ms	4539×	body	128	invalid

Compiler

Compiled 3157 to 2612 computations (17.3% saved)

Details

analyze2.1s (10.5%)

sample71.0ms (0.4%)

simplify67.0ms (0.3%)

prune5.0ms (0%)

localize13.0ms (0.1%)

rewrite183.0ms (0.9%)

series1.8s (8.8%)

simplify91.0ms (0.5%)

prune212.0ms (1.1%)

localize14.0ms (0.1%)

rewrite194.0ms (1%)

series1.8s (9%)

simplify88.0ms (0.4%)

prune205.0ms (1%)

localize15.0ms (0.1%)

rewrite221.0ms (1.1%)

series1.8s (8.7%)

simplify97.0ms (0.5%)

prune227.0ms (1.1%)

localize16.0ms (0.1%)

rewrite518.0ms (2.6%)

series2.5s (12.4%)

simplify145.0ms (0.7%)

prune387.0ms (1.9%)

regimes3.1s (15.4%)

bsearch6.0ms (0%)

simplify59.0ms (0.3%)

end0.0ms (0%)

sample4.2s (21.1%)

Profiling