Details

analyze2.2s (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)

sample67.0ms (0.3%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
9.0ms	158×	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 (62.0ms)

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

5.9b

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)
0.3b	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
3.0b	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
10.2b	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)

rewrite176.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

5.8b

Rules

21×	`add-cube-cbrt_binary64_20232` `add-sqr-sqrt_binary64_20219` `*-un-lft-identity_binary64_20197`
18×	`times-frac_binary64_20203`
13×	`add-exp-log_binary64_20235` `add-cbrt-cube_binary64_20233`
9×	`pow1_binary64_20258`
6×	`add-log-exp_binary64_20236` `associate-/l_binary64_20142` `associate-/r_binary64_20141`
4×	`associate-/l/_binary64_20144`
3×	`flip3-+_binary64_20200` `flip-+_binary64_20171` `pow-prod-down_binary64_20268` `prod-exp_binary64_20246` `cbrt-unprod_binary64_20230` `associate-r_binary64_20137`
2×	`div-exp_binary64_20248` `cbrt-undiv_binary64_20231` `frac-2neg_binary64_20208` `clear-num_binary64_20196` `div-inv_binary64_20194`
1×	`sum-log_binary64_20288` `+-commutative_binary64_20127` `associate-l_binary64_20138` `*-commutative_binary64_20128`

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)
11.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
8.0ms	(/.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%)

Error

5.2b

Counts

4 → 102

Calls

4 calls:

894.0ms	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)
548.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
238.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
51.0ms	(.f64 (.f64 x 9) y)

Compiler

Compiled 4303 to 3195 computations (25.7% saved)

simplify96.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4945	3851
1	4945	3851

prune200.0ms (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

5.2b

Counts

191 → 12

Compiler

Compiled 4035 to 2061 computations (48.9% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 9) y)
0.3b	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
3.0b	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
10.3b	(.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (*.f64 t a) -4)) (/.f64 1 c))

rewrite183.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

5.2b

Rules

28×	`add-sqr-sqrt_binary64_20219`
22×	`*-un-lft-identity_binary64_20197`
21×	`add-cube-cbrt_binary64_20232`
20×	`add-exp-log_binary64_20235` `times-frac_binary64_20203`
16×	`add-cbrt-cube_binary64_20233` `associate-r_binary64_20137`
11×	`pow1_binary64_20258`
7×	`prod-exp_binary64_20246`
6×	`add-log-exp_binary64_20236`
5×	`cbrt-unprod_binary64_20230`
4×	`pow-prod-down_binary64_20268` `flip3-+_binary64_20200` `flip-+_binary64_20171` `associate-l_binary64_20138`
3×	`div-exp_binary64_20248` `unswap-sqr_binary64_20165` `associate-/l_binary64_20142` `associate-/r_binary64_20141`
2×	`cbrt-undiv_binary64_20231` `frac-times_binary64_20207` `associate-l/_binary64_20140` `div-inv_binary64_20194` `-commutative_binary64_20128` `associate-/l/_binary64_20144`
1×	`1-exp_binary64_20241` `rec-exp_binary64_20247` `un-div-inv_binary64_20195` `associate-*r/_binary64_20139` `frac-2neg_binary64_20208` `clear-num_binary64_20196` `sum-log_binary64_20288` `+-commutative_binary64_20127`

Counts

4 → 98

Calls

4 calls:

18.0ms	(.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (*.f64 t a) -4)) (/.f64 1 c))
12.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
11.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
6.0ms	(.f64 (.f64 x 9) y)

Compiler

Compiled 3055 to 1849 computations (39.5% saved)

series1.8s (8.9%)

Error

5.2b

Counts

4 → 102

Calls

4 calls:

872.0ms	(.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (*.f64 t a) -4)) (/.f64 1 c))
578.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
224.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
54.0ms	(.f64 (.f64 x 9) y)

Compiler

Compiled 4627 to 3520 computations (23.9% saved)

simplify106.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4980	4236
1	4980	4236

prune205.0ms (1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	199	1	200
Fresh	1	10	11
Picked	0	1	1
Done	0	0	0
Total	200	12	212

Error

5.2b

Counts

212 → 12

Compiler

Compiled 4602 to 2396 computations (47.9% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (/.f64 (+.f64 (.f64 x (.f64 9 y)) b) z) (.f64 (.f64 t a) -4))
0.5b	(.f64 x (.f64 9 y))
3.0b	(/.f64 (+.f64 (.f64 x (.f64 9 y)) b) z)
10.2b	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 x (.f64 9 y)) b) z) (.f64 (.f64 t a) -4)) c)

rewrite153.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

5.2b

Rules

21×	`add-cube-cbrt_binary64_20232` `add-sqr-sqrt_binary64_20219` `*-un-lft-identity_binary64_20197`
18×	`times-frac_binary64_20203`
13×	`add-exp-log_binary64_20235` `add-cbrt-cube_binary64_20233`
9×	`pow1_binary64_20258`
6×	`add-log-exp_binary64_20236` `associate-/l_binary64_20142` `associate-/r_binary64_20141`
4×	`associate-/l/_binary64_20144`
3×	`flip3-+_binary64_20200` `flip-+_binary64_20171` `pow-prod-down_binary64_20268` `prod-exp_binary64_20246` `cbrt-unprod_binary64_20230` `associate-l_binary64_20138`
2×	`div-exp_binary64_20248` `cbrt-undiv_binary64_20231` `frac-2neg_binary64_20208` `clear-num_binary64_20196` `div-inv_binary64_20194`
1×	`associate-r_binary64_20137` `*-commutative_binary64_20128` `sum-log_binary64_20288` `+-commutative_binary64_20127`

Counts

4 → 87

Calls

4 calls:

15.0ms	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 x (.f64 9 y)) b) z) (.f64 (.f64 t a) -4)) c)
11.0ms	(+.f64 (/.f64 (+.f64 (.f64 x (.f64 9 y)) b) z) (.f64 (.f64 t a) -4))
8.0ms	(/.f64 (+.f64 (.f64 x (.f64 9 y)) b) z)
5.0ms	(.f64 x (.f64 9 y))

Compiler

Compiled 2574 to 1468 computations (43% saved)

series1.8s (8.7%)

Error

5.2b

Counts

4 → 102

Calls

4 calls:

849.0ms	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 x (.f64 9 y)) b) z) (.f64 (.f64 t a) -4)) c)
567.0ms	(+.f64 (/.f64 (+.f64 (.f64 x (.f64 9 y)) b) z) (.f64 (.f64 t a) -4))
228.0ms	(/.f64 (+.f64 (.f64 x (.f64 9 y)) b) z)
49.0ms	(.f64 x (.f64 9 y))

Compiler

Compiled 4303 to 3195 computations (25.7% saved)

simplify100.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5129	3810

prune182.0ms (0.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	189	0	189
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	189	12	201

Error

5.2b

Counts

201 → 12

Compiler

Compiled 3966 to 2032 computations (48.8% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))
0.6b	(/.f64 1 (/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))))
3.0b	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)
10.2b	(/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)))

rewrite307.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

5.2b

Rules

99×	`times-frac_binary64_20203`
64×	`add-cube-cbrt_binary64_20232` `add-sqr-sqrt_binary64_20219` `*-un-lft-identity_binary64_20197`
21×	`associate-/r*_binary64_20141`
19×	`add-exp-log_binary64_20235`
13×	`add-cbrt-cube_binary64_20233`
11×	`associate-/r/_binary64_20143`
9×	`div-exp_binary64_20248` `associate-/l*_binary64_20142`
7×	`div-inv_binary64_20194` `flip3-+_binary64_20200` `flip-+_binary64_20171`
6×	`add-log-exp_binary64_20236`
5×	`pow1_binary64_20258` `cbrt-undiv_binary64_20231`
3×	`frac-2neg_binary64_20208` `clear-num_binary64_20196`
2×	`associate-/l/_binary64_20144` `1-exp_binary64_20241` `rec-exp_binary64_20247`
1×	`inv-pow_binary64_20282` `pow-flip_binary64_20271` `sum-log_binary64_20288` `+-commutative_binary64_20127`

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))))
10.0ms	(/.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)

series2.9s (14.4%)

Error

5.1b

Counts

4 → 151

Calls

4 calls:

1.1s	(/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)))
819.0ms	(/.f64 1 (/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))))
537.0ms	(+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))
224.0ms	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)

Compiler

Compiled 11232 to 8089 computations (28% saved)

simplify111.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

304 → 304

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5147	11524

prune434.0ms (2.2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	297	7	304
Fresh	5	4	9
Picked	1	0	1
Done	0	2	2
Total	303	13	316

Error

5.1b

Counts

316 → 13

Compiler

Compiled 9403 to 4444 computations (52.7% saved)

regimes3.1s (15.3%)

Accuracy

Total 1.1b remaining (15.3%)

Threshold costs 0b (0%)

Compiler

Compiled 26323 to 22973 computations (12.7% saved)

bsearch6.0ms (0%)

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

simplify58.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	126	269
1	126	269

Compiler

Compiled 724 to 448 computations (38.1% saved)

end0.0ms (0%)

sample4.0s (20.1%)

Algorithm

1×

intervals

Results

469.0ms	8000×	body	128	valid
294.0ms	4801×	body	128	invalid

Compiler

Compiled 2823 to 2344 computations (17% saved)

Details

analyze2.2s (11%)

sample67.0ms (0.3%)

simplify76.0ms (0.4%)

prune5.0ms (0%)

localize13.0ms (0.1%)

rewrite176.0ms (0.9%)

series1.8s (9%)

simplify96.0ms (0.5%)

prune200.0ms (1%)

localize14.0ms (0.1%)

rewrite183.0ms (0.9%)

series1.8s (8.9%)

simplify106.0ms (0.5%)

prune205.0ms (1%)

localize17.0ms (0.1%)

rewrite153.0ms (0.8%)

series1.8s (8.7%)

simplify100.0ms (0.5%)

prune182.0ms (0.9%)

localize16.0ms (0.1%)

rewrite307.0ms (1.5%)

series2.9s (14.4%)

simplify111.0ms (0.6%)

prune434.0ms (2.2%)

regimes3.1s (15.3%)

bsearch6.0ms (0%)

simplify58.0ms (0.3%)

end0.0ms (0%)

sample4.0s (20.1%)

Profiling