Details

analyze2.3s (11.9%)

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)

sample68.0ms (0.4%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
10.0ms	163×	body	128	invalid

Compiler

Compiled 39 to 44 computations (-12.8% saved)

simplify76.0ms (0.4%)

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

8.2b

Counts

2 → 2

Compiler

Compiled 53 to 52 computations (1.9% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 9) y)
0.5b	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
1.8b	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
12.6b	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)

rewrite182.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

8.1b

Rules

21×	`add-cube-cbrt_binary64_17163` `add-sqr-sqrt_binary64_17150` `*-un-lft-identity_binary64_17128`
18×	`times-frac_binary64_17134`
13×	`add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164`
9×	`pow1_binary64_17189`
6×	`add-log-exp_binary64_17167` `associate-/l_binary64_17073` `associate-/r_binary64_17072`
4×	`associate-/l/_binary64_17075`
3×	`flip3-+_binary64_17131` `flip-+_binary64_17102` `pow-prod-down_binary64_17199` `prod-exp_binary64_17177` `cbrt-unprod_binary64_17161` `associate-r_binary64_17068`
2×	`div-exp_binary64_17179` `cbrt-undiv_binary64_17162` `frac-2neg_binary64_17139` `clear-num_binary64_17127` `div-inv_binary64_17125`
1×	`sum-log_binary64_17219` `+-commutative_binary64_17058` `associate-l_binary64_17069` `*-commutative_binary64_17059`

Counts

4 → 87

Calls

4 calls:

14.0ms	(/.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 (9.4%)

Error

7.7b

Counts

4 → 102

Calls

4 calls:

871.0ms	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)
537.0ms	(+.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)
61.0ms	(.f64 (.f64 x 9) y)

Compiler

Compiled 4303 to 3195 computations (25.7% saved)

simplify97.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4945	3851
1	4945	3851

prune198.0ms (1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	178	11	189
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	179	12	191

Error

7.6b

Counts

191 → 12

Compiler

Compiled 4024 to 2059 computations (48.8% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 9) y)
0.5b	(+.f64 (.f64 (+.f64 (.f64 (.f64 x 9) y) b) (/.f64 1 z)) (.f64 (*.f64 t a) -4))
1.9b	(.f64 (+.f64 (.f64 (*.f64 x 9) y) b) (/.f64 1 z))
12.6b	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 x 9) y) b) (/.f64 1 z)) (.f64 (*.f64 t a) -4)) c)

rewrite188.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

7.6b

Rules

28×	`add-sqr-sqrt_binary64_17150`
22×	`*-un-lft-identity_binary64_17128`
21×	`add-cube-cbrt_binary64_17163`
20×	`add-exp-log_binary64_17166` `times-frac_binary64_17134`
16×	`add-cbrt-cube_binary64_17164` `associate-r_binary64_17068`
11×	`pow1_binary64_17189`
7×	`prod-exp_binary64_17177`
6×	`add-log-exp_binary64_17167`
5×	`cbrt-unprod_binary64_17161`
4×	`flip3-+_binary64_17131` `flip-+_binary64_17102` `pow-prod-down_binary64_17199` `associate-l_binary64_17069`
3×	`div-exp_binary64_17179` `associate-/l_binary64_17073` `associate-/r_binary64_17072` `unswap-sqr_binary64_17096`
2×	`cbrt-undiv_binary64_17162` `div-inv_binary64_17125` `associate-/l/_binary64_17075` `frac-times_binary64_17138` `associate-l/_binary64_17071` `-commutative_binary64_17059`
1×	`frac-2neg_binary64_17139` `clear-num_binary64_17127` `1-exp_binary64_17172` `rec-exp_binary64_17178` `un-div-inv_binary64_17126` `associate-*r/_binary64_17070` `sum-log_binary64_17219` `+-commutative_binary64_17058`

Counts

4 → 98

Calls

4 calls:

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

Compiler

Compiled 3115 to 1911 computations (38.7% saved)

series1.8s (9.5%)

Error

7.6b

Counts

4 → 102

Calls

4 calls:

869.0ms	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 x 9) y) b) (/.f64 1 z)) (.f64 (*.f64 t a) -4)) c)
554.0ms	(+.f64 (.f64 (+.f64 (.f64 (.f64 x 9) y) b) (/.f64 1 z)) (.f64 (*.f64 t a) -4))
241.0ms	(.f64 (+.f64 (.f64 (*.f64 x 9) y) b) (/.f64 1 z))
52.0ms	(.f64 (.f64 x 9) y)

Compiler

Compiled 4339 to 3231 computations (25.5% saved)

simplify90.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5610	4143

prune195.0ms (1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	200	0	200
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	200	12	212

Error

7.6b

Counts

212 → 12

Compiler

Compiled 4440 to 2228 computations (49.8% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 9) y)
0.5b	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
1.8b	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
12.8b	(.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (*.f64 t a) -4)) (/.f64 1 c))

rewrite185.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

7.6b

Rules

28×	`add-sqr-sqrt_binary64_17150`
22×	`*-un-lft-identity_binary64_17128`
21×	`add-cube-cbrt_binary64_17163`
20×	`add-exp-log_binary64_17166` `times-frac_binary64_17134`
16×	`add-cbrt-cube_binary64_17164` `associate-r_binary64_17068`
11×	`pow1_binary64_17189`
7×	`prod-exp_binary64_17177`
6×	`add-log-exp_binary64_17167`
5×	`cbrt-unprod_binary64_17161`
4×	`pow-prod-down_binary64_17199` `flip3-+_binary64_17131` `flip-+_binary64_17102` `associate-l_binary64_17069`
3×	`div-exp_binary64_17179` `unswap-sqr_binary64_17096` `associate-/l_binary64_17073` `associate-/r_binary64_17072`
2×	`cbrt-undiv_binary64_17162` `frac-times_binary64_17138` `associate-l/_binary64_17071` `div-inv_binary64_17125` `-commutative_binary64_17059` `associate-/l/_binary64_17075`
1×	`1-exp_binary64_17172` `rec-exp_binary64_17178` `un-div-inv_binary64_17126` `associate-*r/_binary64_17070` `frac-2neg_binary64_17139` `clear-num_binary64_17127` `sum-log_binary64_17219` `+-commutative_binary64_17058`

Counts

4 → 98

Calls

4 calls:

19.0ms	(.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (*.f64 t a) -4)) (/.f64 1 c))
14.0ms	(+.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 3055 to 1849 computations (39.5% saved)

series1.7s (9.2%)

Error

7.6b

Counts

4 → 102

Calls

4 calls:

858.0ms	(.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (*.f64 t a) -4)) (/.f64 1 c))
531.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
221.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
51.0ms	(.f64 (.f64 x 9) y)

Compiler

Compiled 4627 to 3520 computations (23.9% saved)

simplify105.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4980	4236
1	4980	4236

prune204.0ms (1.1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	200	0	200
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	200	12	212

Error

7.6b

Counts

212 → 12

Compiler

Compiled 4581 to 2380 computations (48% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 1 (/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))))
0.5b	(+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))
1.8b	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)
12.7b	(/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)))

rewrite316.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

7.6b

Rules

99×	`times-frac_binary64_17134`
64×	`add-cube-cbrt_binary64_17163` `add-sqr-sqrt_binary64_17150` `*-un-lft-identity_binary64_17128`
21×	`associate-/r*_binary64_17072`
19×	`add-exp-log_binary64_17166`
13×	`add-cbrt-cube_binary64_17164`
11×	`associate-/r/_binary64_17074`
9×	`div-exp_binary64_17179` `associate-/l*_binary64_17073`
7×	`div-inv_binary64_17125` `flip3-+_binary64_17131` `flip-+_binary64_17102`
6×	`add-log-exp_binary64_17167`
5×	`pow1_binary64_17189` `cbrt-undiv_binary64_17162`
3×	`frac-2neg_binary64_17139` `clear-num_binary64_17127`
2×	`associate-/l/_binary64_17075` `1-exp_binary64_17172` `rec-exp_binary64_17178`
1×	`sum-log_binary64_17219` `+-commutative_binary64_17058` `inv-pow_binary64_17213` `pow-flip_binary64_17202`

Counts

4 → 153

Calls

4 calls:

14.0ms	(/.f64 1 (/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))))
13.0ms	(/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)))
10.0ms	(+.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 5738 to 3171 computations (44.7% saved)

series2.4s (12.8%)

Error

7.6b

Counts

4 → 132

Calls

4 calls:

835.0ms	(/.f64 1 (/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))))
712.0ms	(/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)))
539.0ms	(+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))
223.0ms	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)

Compiler

Compiled 7570 to 5631 computations (25.6% saved)

simplify122.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

285 → 285

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5141	8858

prune539.0ms (2.9%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	283	2	285
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	283	14	297

Error

7.6b

Counts

297 → 14

Compiler

Compiled 7582 to 3721 computations (50.9% saved)

regimes2.6s (13.6%)

Accuracy

Total 2.6b remaining (30.9%)

Threshold costs 0b (0%)

Compiler

Compiled 24787 to 21597 computations (12.9% saved)

bsearch8.0ms (0%)

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

simplify67.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	152	272
1	152	272

Remove

(sort x y)

Compiler

Compiled 1098 to 660 computations (39.9% saved)

end0.0ms (0%)

sample3.6s (19.3%)

Algorithm

1×

intervals

Results

480.0ms	8000×	body	128	valid
275.0ms	4777×	body	128	invalid

Compiler

Compiled 2656 to 2192 computations (17.5% saved)

Details

analyze2.3s (11.9%)

sample68.0ms (0.4%)

simplify76.0ms (0.4%)

prune5.0ms (0%)

localize14.0ms (0.1%)

rewrite182.0ms (1%)

series1.8s (9.4%)

simplify97.0ms (0.5%)

prune198.0ms (1%)

localize15.0ms (0.1%)

rewrite188.0ms (1%)

series1.8s (9.5%)

simplify90.0ms (0.5%)

prune195.0ms (1%)

localize16.0ms (0.1%)

rewrite185.0ms (1%)

series1.7s (9.2%)

simplify105.0ms (0.6%)

prune204.0ms (1.1%)

localize15.0ms (0.1%)

rewrite316.0ms (1.7%)

series2.4s (12.8%)

simplify122.0ms (0.6%)

prune539.0ms (2.9%)

regimes2.6s (13.6%)

bsearch8.0ms (0%)

simplify67.0ms (0.4%)

end0.0ms (0%)

sample3.6s (19.3%)

Profiling