Details

analyze696.0ms (7.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4853	24
1	4853	24
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
50%	50%	0%	5
50%	50%	0%	6
50%	50%	0%	7
50%	50%	0%	8
50%	50%	0%	9
50%	50%	0%	10
50%	50%	0%	11
50%	50%	0%	12
50%	50%	0%	13
50%	49.9%	0%	14

Compiler

Compiled 16 to 9 computations (43.8% saved)

sample32.0ms (0.3%)

Algorithm

1×

intervals

Results

11.0ms	63×	body	1024	valid
5.0ms	133×	body	128	valid
5.0ms	39×	body	512	valid
2.0ms	21×	body	256	valid

Compiler

Compiled 31 to 18 computations (41.9% saved)

simplify109.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4853	24
1	4853	24

prune2.0ms (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

0.4b

Counts

2 → 1

Compiler

Compiled 30 to 16 computations (46.7% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
0.2b	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
0.3b	(*.f64 (tan.f64 x) (tan.f64 x))
0.3b	(*.f64 (tan.f64 x) (tan.f64 x))

rewrite188.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

31×	`add-sqr-sqrt_binary64_782`
27×	`*-un-lft-identity_binary64_760`
22×	`add-cube-cbrt_binary64_795`
18×	`pow1_binary64_821`
15×	`times-frac_binary64_766`
10×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `difference-of-squares_binary64_729`
8×	`tan-quot_binary64_919`
6×	`add-log-exp_binary64_799` `swap-sqr_binary64_727` `associate-l_binary64_701` `associate-r_binary64_700`
5×	`associate-/l*_binary64_705`
3×	`associate-/r*_binary64_704`
2×	`pow2_binary64_841` `pow-prod-down_binary64_831` `pow-prod-up_binary64_830` `pow-plus_binary64_823` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `frac-times_binary64_770` `pow-sqr_binary64_733` `unswap-sqr_binary64_728` `associate-l/_binary64_703` `associate-r/_binary64_702` `*-commutative_binary64_691` `flip3--_binary64_764` `flip--_binary64_735` `associate-/l/_binary64_707` `associate-/r/_binary64_706`
1×	`diff-log_binary64_852` `sub-neg_binary64_753` `cancel-sign-sub-inv_binary64_726` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `div-sub_binary64_765` `clear-num_binary64_759` `div-inv_binary64_757` `flip3-+_binary64_763` `flip-+_binary64_734`

Counts

4 → 110

Calls

4 calls:

7.0ms	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
5.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
5.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
3.0ms	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))

Compiler

Compiled 2625 to 1007 computations (61.6% saved)

series348.0ms (3.5%)

Error

0.4b

Counts

4 → 14

Calls

4 calls:

180.0ms	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
60.0ms	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
53.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
41.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Compiler

Compiled 662 to 482 computations (27.2% saved)

simplify78.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4929	1953
1	4929	1953

prune180.0ms (1.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	111	13	124
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	112	13	125

Error

0.1b

Counts

125 → 13

Compiler

Compiled 2733 to 1598 computations (41.5% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (tan.f64 x) 2)
0.3b	(*.f64 (tan.f64 x) (tan.f64 x))
0.5b	(pow.f64 (tan.f64 x) 4)
0.7b	(pow.f64 (tan.f64 x) 6)

rewrite139.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-sqr-sqrt_binary64_782`
14×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760` `pow1_binary64_821`
9×	`unpow-prod-down_binary64_839` `pow-unpow_binary64_837` `add-exp-log_binary64_798`
6×	`add-cbrt-cube_binary64_796`
4×	`add-log-exp_binary64_799` `tan-quot_binary64_919`
3×	`pow-pow_binary64_832` `pow-to-exp_binary64_829` `pow-exp_binary64_828` `sqr-pow_binary64_732` `swap-sqr_binary64_727` `associate-l_binary64_701` `associate-r_binary64_700`
1×	`pow2_binary64_841` `pow-prod-down_binary64_831` `pow-prod-up_binary64_830` `pow-plus_binary64_823` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `frac-times_binary64_770` `pow-sqr_binary64_733` `unswap-sqr_binary64_728` `associate-l/_binary64_703` `associate-r/_binary64_702` `*-commutative_binary64_691` `unpow2_binary64_825`

Counts

4 → 80

Calls

4 calls:

5.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
3.0ms	(pow.f64 (tan.f64 x) 6)
3.0ms	(pow.f64 (tan.f64 x) 2)
3.0ms	(pow.f64 (tan.f64 x) 4)

Compiler

Compiled 2498 to 1461 computations (41.5% saved)

series282.0ms (2.9%)

Error

0.1b

Counts

4 → 12

Calls

4 calls:

100.0ms	(pow.f64 (tan.f64 x) 6)
69.0ms	(pow.f64 (tan.f64 x) 4)
50.0ms	(pow.f64 (tan.f64 x) 2)
44.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Compiler

Compiled 1059 to 753 computations (28.9% saved)

simplify51.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5154	707

prune143.0ms (1.4%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	89	3	92
Fresh	1	11	12
Picked	0	1	1
Done	0	0	0
Total	90	15	105

Error

0.1b

Counts

105 → 15

Compiler

Compiled 3018 to 1881 computations (37.7% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))))
0.2b	(-.f64 1 (pow.f64 (tan.f64 x) 2))
0.3b	(pow.f64 (tan.f64 x) 2)
0.3b	(pow.f64 (tan.f64 x) 2)

rewrite721.0ms (7.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

354×	`times-frac_binary64_766`
331×	`*-un-lft-identity_binary64_760`
269×	`add-sqr-sqrt_binary64_782`
136×	`difference-of-squares_binary64_729`
133×	`add-cube-cbrt_binary64_795`
54×	`associate-/r*_binary64_704`
48×	`distribute-lft-out_binary64_711`
43×	`unpow-prod-down_binary64_839`
37×	`unpow2_binary64_825` `sqr-pow_binary64_732`
17×	`add-exp-log_binary64_798` `distribute-lft-out--_binary64_712`
9×	`add-cbrt-cube_binary64_796` `associate-/r/_binary64_706`
8×	`cancel-sign-sub-inv_binary64_726`
7×	`pow1_binary64_821` `div-exp_binary64_811`
6×	`pow-unpow_binary64_837` `add-log-exp_binary64_799`
5×	`flip3--_binary64_764` `flip--_binary64_735` `div-inv_binary64_757`
3×	`cbrt-undiv_binary64_794` `associate-/l*_binary64_705`
2×	`pow-pow_binary64_832` `pow-to-exp_binary64_829` `pow-exp_binary64_828` `1-exp_binary64_804` `rec-exp_binary64_810`
1×	`diff-log_binary64_852` `sub-neg_binary64_753` `inv-pow_binary64_845` `pow-flip_binary64_834` `frac-2neg_binary64_771` `clear-num_binary64_759`

Counts

4 → 304

Calls

4 calls:

24.0ms	(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))))
6.0ms	(-.f64 1 (pow.f64 (tan.f64 x) 2))
3.0ms	(pow.f64 (tan.f64 x) 2)
3.0ms	(pow.f64 (tan.f64 x) 2)

Compiler

Compiled 9297 to 7140 computations (23.2% saved)

series341.0ms (3.5%)

Error

0.1b

Counts

4 → 14

Calls

4 calls:

167.0ms	(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))))
61.0ms	(-.f64 1 (pow.f64 (tan.f64 x) 2))
51.0ms	(pow.f64 (tan.f64 x) 2)
48.0ms	(pow.f64 (tan.f64 x) 2)

Compiler

Compiled 691 to 578 computations (16.4% saved)

simplify149.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

318 → 318

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5140	8995

prune565.0ms (5.7%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	314	4	318
Fresh	3	10	13
Picked	0	1	1
Done	1	0	1
Total	318	15	333

Error

0.0b

Counts

333 → 15

Compiler

Compiled 8065 to 5820 computations (27.8% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (tan.f64 x) 2)
0.3b	(pow.f64 (tan.f64 x) 2)
0.4b	(-.f64 1 (sqrt.f64 (pow.f64 (tan.f64 x) 2)))
12.2b	(sqrt.f64 (pow.f64 (tan.f64 x) 2))

rewrite139.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

27×	`add-sqr-sqrt_binary64_782`
25×	`sqrt-prod_binary64_776`
21×	`*-un-lft-identity_binary64_760`
15×	`unpow-prod-down_binary64_839`
13×	`add-cube-cbrt_binary64_795`
11×	`cancel-sign-sub-inv_binary64_726`
10×	`difference-of-squares_binary64_729`
7×	`unpow2_binary64_825` `sqr-pow_binary64_732`
6×	`pow1_binary64_821` `add-log-exp_binary64_799` `add-exp-log_binary64_798` `pow-unpow_binary64_837`
4×	`add-cbrt-cube_binary64_796` `rem-sqrt-square_binary64_773`
2×	`distribute-lft-out--_binary64_712` `pow-pow_binary64_832` `pow-to-exp_binary64_829` `pow-exp_binary64_828`
1×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `diff-log_binary64_852` `flip3--_binary64_764` `sub-neg_binary64_753` `flip--_binary64_735`

Counts

4 → 91

Calls

4 calls:

7.0ms	(-.f64 1 (sqrt.f64 (pow.f64 (tan.f64 x) 2)))
3.0ms	(sqrt.f64 (pow.f64 (tan.f64 x) 2))
3.0ms	(pow.f64 (tan.f64 x) 2)
3.0ms	(pow.f64 (tan.f64 x) 2)

Compiler

Compiled 2418 to 1617 computations (33.1% saved)

series173.0ms (1.8%)

Error

0.0b

Counts

4 → 13

Calls

4 calls:

47.0ms	(pow.f64 (tan.f64 x) 2)
42.0ms	(pow.f64 (tan.f64 x) 2)
40.0ms	(-.f64 1 (sqrt.f64 (pow.f64 (tan.f64 x) 2)))
31.0ms	(sqrt.f64 (pow.f64 (tan.f64 x) 2))

Compiler

Compiled 802 to 609 computations (24.1% saved)

simplify76.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4964	959
1	4964	959

prune116.0ms (1.2%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	13	13
Picked	0	1	1
Done	0	1	1
Total	104	15	119

Error

0.0b

Counts

119 → 15

Compiler

Compiled 2320 to 1396 computations (39.8% saved)

regimes1.4s (13.8%)

Accuracy

Total 0.3b remaining (91.1%)

Threshold costs 0.3b (91.1%)

Compiler

Compiled 15625 to 10308 computations (34% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	27
1	23	27

end0.0ms (0%)

sample3.9s (39.9%)

Algorithm

1×

intervals

Results

333.0ms	1976×	body	1024	valid
187.0ms	4517×	body	128	valid
133.0ms	1005×	body	512	valid
43.0ms	498×	body	256	valid
1.0ms	4×	body	2048	valid

Compiler

Compiled 3673 to 2463 computations (32.9% saved)

Details

analyze696.0ms (7.1%)

sample32.0ms (0.3%)

simplify109.0ms (1.1%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite188.0ms (1.9%)

series348.0ms (3.5%)

simplify78.0ms (0.8%)

prune180.0ms (1.8%)

localize16.0ms (0.2%)

rewrite139.0ms (1.4%)

series282.0ms (2.9%)

simplify51.0ms (0.5%)

prune143.0ms (1.4%)

localize8.0ms (0.1%)

rewrite721.0ms (7.3%)

series341.0ms (3.5%)

simplify149.0ms (1.5%)

prune565.0ms (5.7%)

localize12.0ms (0.1%)

rewrite139.0ms (1.4%)

series173.0ms (1.8%)

simplify76.0ms (0.8%)

prune116.0ms (1.2%)

regimes1.4s (13.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.9s (39.9%)

Profiling