Details

analyze686.0ms (6.8%)

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

Symmetry

Compiler

Compiled 16 to 9 computations (43.8% saved)

sample30.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	62×	body	1024	valid
6.0ms	149×	body	128	valid
3.0ms	28×	body	512	valid
1.0ms	17×	body	256	valid

Compiler

Compiled 31 to 18 computations (41.9% saved)

simplify107.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (101.0ms)

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

0.3b

Counts

2 → 1

Compiler

Compiled 30 to 16 computations (46.7% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
0.2b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
0.2b	(*.f64 (tan.f64 x) (tan.f64 x))
0.2b	(*.f64 (tan.f64 x) (tan.f64 x))

rewrite184.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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` `associate-/l/_binary64_707` `flip--_binary64_735` `associate-/r/_binary64_706`
1×	`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` `diff-log_binary64_852` `sub-neg_binary64_753` `cancel-sign-sub-inv_binary64_726`

Counts

4 → 110

Calls

4 calls:

10.0ms	(/.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)

series383.0ms (3.8%)

Error

0.2b

Counts

4 → 18

Calls

4 calls:

186.0ms	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
65.0ms	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
59.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
52.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Compiler

Compiled 826 to 606 computations (26.6% saved)

simplify96.0ms (1%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4908	2014
1	4908	2014

prune175.0ms (1.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	119	9	128
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	120	9	129

Error

0.0b

Counts

129 → 9

Compiler

Compiled 2690 to 1552 computations (42.3% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite565.0ms (5.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

317×	`*-un-lft-identity_binary64_760`
264×	`times-frac_binary64_766`
179×	`add-sqr-sqrt_binary64_782`
104×	`add-cube-cbrt_binary64_795`
69×	`distribute-lft-out_binary64_711`
50×	`difference-of-squares_binary64_729`
36×	`associate-/r*_binary64_704`
25×	`distribute-lft-out--_binary64_712`
13×	`associate-/r/_binary64_706`
12×	`add-exp-log_binary64_798`
11×	`add-cbrt-cube_binary64_796`
8×	`associate-/l*_binary64_705`
7×	`div-inv_binary64_757`
6×	`add-log-exp_binary64_799` `flip3--_binary64_764` `flip--_binary64_735`
5×	`pow1_binary64_821`
4×	`div-exp_binary64_811` `cbrt-undiv_binary64_794` `associate-/l/_binary64_707`
3×	`unpow-prod-down_binary64_839` `pow-unpow_binary64_837` `flip3-+_binary64_763` `flip-+_binary64_734`
2×	`frac-2neg_binary64_771` `clear-num_binary64_759`
1×	`pow-pow_binary64_832` `pow-to-exp_binary64_829` `pow-exp_binary64_828` `unpow2_binary64_825` `sqr-pow_binary64_732` `sum-log_binary64_851` `+-commutative_binary64_690`

Counts

4 → 251

Calls

4 calls:

17.0ms	(/.f64 (+.f64 1 (tan.f64 x)) (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (tan.f64 x))))
9.0ms	(/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (tan.f64 x)))
3.0ms	(pow.f64 (tan.f64 x) 2)
3.0ms	(+.f64 1 (tan.f64 x))

Compiler

Compiled 7790 to 5246 computations (32.7% saved)

series436.0ms (4.3%)

Error

0.0b

Counts

4 → 20

Calls

4 calls:

204.0ms	(/.f64 (+.f64 1 (tan.f64 x)) (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (tan.f64 x))))
124.0ms	(/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (tan.f64 x)))
52.0ms	(pow.f64 (tan.f64 x) 2)
36.0ms	(+.f64 1 (tan.f64 x))

Compiler

Compiled 927 to 675 computations (27.2% saved)

simplify107.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

271 → 271

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4995	9393
1	4995	9393

prune480.0ms (4.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	268	3	271
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	270	10	280

Error

Counts

280 → 10

Compiler

Compiled 7717 to 5090 computations (34% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite296.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

81×	`*-un-lft-identity_binary64_760`
70×	`add-sqr-sqrt_binary64_782`
68×	`times-frac_binary64_766`
38×	`cancel-sign-sub-inv_binary64_726`
29×	`add-cube-cbrt_binary64_795`
24×	`unpow-prod-down_binary64_839`
15×	`difference-of-squares_binary64_729`
13×	`distribute-lft-out_binary64_711`
10×	`unpow2_binary64_825` `sqr-pow_binary64_732`
9×	`pow-unpow_binary64_837`
8×	`distribute-lft-out--_binary64_712`
7×	`pow1_binary64_821` `add-exp-log_binary64_798` `div-inv_binary64_757`
6×	`add-log-exp_binary64_799` `associate-/r/_binary64_706` `distribute-rgt-out--_binary64_714`
4×	`add-cbrt-cube_binary64_796`
3×	`flip3-+_binary64_763` `flip-+_binary64_734` `pow-pow_binary64_832` `pow-to-exp_binary64_829` `pow-exp_binary64_828`
1×	`diff-log_binary64_852` `frac-sub_binary64_769` `sub-div_binary64_767` `flip3--_binary64_764` `sub-neg_binary64_753` `flip--_binary64_735`

Counts

4 → 134

Calls

4 calls:

45.0ms	(-.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2))))
3.0ms	(pow.f64 (tan.f64 x) 2)
3.0ms	(pow.f64 (tan.f64 x) 2)
3.0ms	(pow.f64 (tan.f64 x) 2)

Compiler

Compiled 4250 to 3040 computations (28.5% saved)

series446.0ms (4.4%)

Error

Counts

4 → 16

Calls

4 calls:

280.0ms	(-.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2))))
53.0ms	(pow.f64 (tan.f64 x) 2)
48.0ms	(pow.f64 (tan.f64 x) 2)
47.0ms	(pow.f64 (tan.f64 x) 2)

Compiler

Compiled 1022 to 807 computations (21% saved)

simplify117.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4871	3142
1	4871	3142

prune223.0ms (2.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	149	1	150
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	150	10	160

Error

Counts

160 → 10

Compiler

Compiled 3915 to 2760 computations (29.5% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite244.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

51×	`*-un-lft-identity_binary64_760`
45×	`add-sqr-sqrt_binary64_782`
30×	`add-cube-cbrt_binary64_795`
26×	`times-frac_binary64_766`
19×	`add-exp-log_binary64_798`
18×	`associate-l_binary64_701`
16×	`cancel-sign-sub-inv_binary64_726`
14×	`unpow-prod-down_binary64_839`
12×	`associate-r_binary64_700`
11×	`add-cbrt-cube_binary64_796`
9×	`pow1_binary64_821` `distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709`
8×	`difference-of-squares_binary64_729`
7×	`distribute-lft-out_binary64_711`
6×	`pow-unpow_binary64_837` `unpow2_binary64_825` `sqr-pow_binary64_732`
4×	`add-log-exp_binary64_799` `div-exp_binary64_811` `prod-exp_binary64_809` `associate-/r/_binary64_706` `associate-/r*_binary64_704`
3×	`unswap-sqr_binary64_728` `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` `cbrt-unprod_binary64_793` `cbrt-undiv_binary64_794` `flip3--_binary64_764` `frac-times_binary64_770` `flip--_binary64_735` `sub-neg_binary64_753` `associate-*r/_binary64_702` `div-inv_binary64_757` `flip3-+_binary64_763` `flip-+_binary64_734`
1×	`pow-prod-down_binary64_831` `associate-l/_binary64_703` `distribute-lft-out--_binary64_712` `-commutative_binary64_691` `inv-pow_binary64_845` `pow-flip_binary64_834` `frac-2neg_binary64_771` `clear-num_binary64_759`

Counts

4 → 144

Calls

4 calls:

19.0ms	(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (-.f64 1 (pow.f64 (tan.f64 x) 2)))
6.0ms	(/.f64 1 (+.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 3576 to 2691 computations (24.7% saved)

series426.0ms (4.2%)

Error

Counts

4 → 18

Calls

4 calls:

189.0ms	(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (-.f64 1 (pow.f64 (tan.f64 x) 2)))
111.0ms	(/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)))
57.0ms	(pow.f64 (tan.f64 x) 2)
54.0ms	(pow.f64 (tan.f64 x) 2)

Compiler

Compiled 847 to 709 computations (16.3% saved)

simplify108.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4859	2875
1	4859	2875

prune180.0ms (1.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	162	10	172

Error

Counts

172 → 10

Compiler

Compiled 3248 to 2369 computations (27.1% saved)

regimes1.2s (11.8%)

Accuracy

Total 0.3b remaining (88.9%)

Threshold costs 0.3b (88.9%)

Compiler

Compiled 13409 to 8643 computations (35.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	20
1	21	20

Removed

()

end0.0ms (0%)

sample3.5s (35.1%)

Algorithm

1×

intervals

Results

351.0ms	2038×	body	1024	valid
198.0ms	4521×	body	128	valid
118.0ms	962×	body	512	valid
41.0ms	475×	body	256	valid
1.0ms	4×	body	2048	valid

Compiler

Compiled 3101 to 2041 computations (34.2% saved)

Details

analyze686.0ms (6.8%)

sample30.0ms (0.3%)

simplify107.0ms (1.1%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite184.0ms (1.8%)

series383.0ms (3.8%)

simplify96.0ms (1%)

prune175.0ms (1.7%)

localize10.0ms (0.1%)

rewrite565.0ms (5.6%)

series436.0ms (4.3%)

simplify107.0ms (1.1%)

prune480.0ms (4.8%)

localize9.0ms (0.1%)

rewrite296.0ms (3%)

series446.0ms (4.4%)

simplify117.0ms (1.2%)

prune223.0ms (2.2%)

localize11.0ms (0.1%)

rewrite244.0ms (2.4%)

series426.0ms (4.2%)

simplify108.0ms (1.1%)

prune180.0ms (1.8%)

regimes1.2s (11.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.5s (35.1%)

Profiling