Details

analyze699.0ms (7.9%)

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)

sample31.0ms (0.3%)

Algorithm

1×

intervals

Results

11.0ms	69×	body	1024	valid
6.0ms	144×	body	128	valid
3.0ms	27×	body	512	valid
1.0ms	16×	body	256	valid

Compiler

Compiled 31 to 18 computations (41.9% saved)

simplify109.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (103.0ms)

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:

0.2b	(-.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))

rewrite188.0ms (2.1%)

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:

9.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
8.0ms	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
6.0ms	(*.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)

series401.0ms (4.5%)

Error

0.2b

Counts

4 → 24

Calls

4 calls:

183.0ms	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
66.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
65.0ms	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
61.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Compiler

Compiled 1044 to 767 computations (26.5% saved)

simplify82.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4936	2173
1	4936	2173

prune194.0ms (2.2%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	117	17	134
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	118	17	135

Error

0.0b

Counts

135 → 17

Compiler

Compiled 2966 to 1738 computations (41.4% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite163.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

30×	`add-sqr-sqrt_binary64_782`
28×	`*-un-lft-identity_binary64_760`
21×	`associate-r_binary64_700`
19×	`add-cube-cbrt_binary64_795`
16×	`add-exp-log_binary64_798`
14×	`pow1_binary64_821` `times-frac_binary64_766`
11×	`add-cbrt-cube_binary64_796`
8×	`associate-l_binary64_701`
6×	`add-log-exp_binary64_799`
5×	`prod-exp_binary64_809`
4×	`tan-quot_binary64_919` `unswap-sqr_binary64_728` `difference-of-squares_binary64_729`
3×	`unpow-prod-down_binary64_839` `pow-unpow_binary64_837` `cbrt-unprod_binary64_793` `frac-times_binary64_770` `swap-sqr_binary64_727` `associate-*l/_binary64_703` `flip3--_binary64_764` `flip--_binary64_735` `distribute-lft-out_binary64_711`
2×	`pow-prod-down_binary64_831` `associate-r/_binary64_702` `-commutative_binary64_691` `div-exp_binary64_811` `associate-/r/_binary64_706`
1×	`pow-pow_binary64_832` `pow-to-exp_binary64_829` `pow-exp_binary64_828` `unpow2_binary64_825` `sqr-pow_binary64_732` `pow2_binary64_841` `pow-prod-up_binary64_830` `pow-plus_binary64_823` `pow-sqr_binary64_733` `1-exp_binary64_804` `rec-exp_binary64_810` `cbrt-undiv_binary64_794` `un-div-inv_binary64_758` `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 → 107

Calls

4 calls:

15.0ms	(.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))))
6.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
3.0ms	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
3.0ms	(pow.f64 (tan.f64 x) 2)

Compiler

Compiled 2649 to 1560 computations (41.1% saved)

series393.0ms (4.4%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

183.0ms	(.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))))
63.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
62.0ms	(pow.f64 (tan.f64 x) 2)
61.0ms	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))

Compiler

Compiled 1100 to 891 computations (19% saved)

simplify76.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5069	1975

prune164.0ms (1.9%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	129	2	131
Fresh	2	14	16
Picked	1	0	1
Done	0	0	0
Total	132	16	148

Error

0.0b

Counts

148 → 16

Compiler

Compiled 2948 to 2022 computations (31.4% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite256.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

89×	`*-un-lft-identity_binary64_760`
66×	`add-sqr-sqrt_binary64_782`
49×	`times-frac_binary64_766`
31×	`add-cube-cbrt_binary64_795`
30×	`associate-r_binary64_700`
20×	`difference-of-squares_binary64_729`
14×	`distribute-lft-out_binary64_711`
12×	`add-exp-log_binary64_798`
11×	`add-cbrt-cube_binary64_796`
10×	`distribute-lft-out--_binary64_712`
7×	`pow1_binary64_821`
6×	`add-log-exp_binary64_799` `associate-/l*_binary64_705`
4×	`flip3-+_binary64_763` `associate-/r/_binary64_706` `flip-+_binary64_734` `associate-/r_binary64_704` `associate-l*_binary64_701`
3×	`unpow-prod-down_binary64_839` `pow-unpow_binary64_837` `cancel-sign-sub-inv_binary64_726`
2×	`flip3--_binary64_764` `flip--_binary64_735` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `div-inv_binary64_757` `associate-/l/_binary64_707` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `frac-times_binary64_770` `unswap-sqr_binary64_728` `associate-*l/_binary64_703`
1×	`pow-pow_binary64_832` `pow-to-exp_binary64_829` `pow-exp_binary64_828` `unpow2_binary64_825` `sqr-pow_binary64_732` `diff-log_binary64_852` `sub-neg_binary64_753` `frac-2neg_binary64_771` `div-sub_binary64_765` `clear-num_binary64_759` `pow-prod-down_binary64_831` `associate-r/_binary64_702` `-commutative_binary64_691`

Counts

4 → 140

Calls

4 calls:

24.0ms	(*.f64 (+.f64 1 (tan.f64 x)) (/.f64 (-.f64 1 (tan.f64 x)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))
10.0ms	(/.f64 (-.f64 1 (tan.f64 x)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))
4.0ms	(-.f64 1 (tan.f64 x))
3.0ms	(pow.f64 (tan.f64 x) 2)

Compiler

Compiled 3760 to 2482 computations (34% saved)

series469.0ms (5.3%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

201.0ms	(*.f64 (+.f64 1 (tan.f64 x)) (/.f64 (-.f64 1 (tan.f64 x)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))
147.0ms	(/.f64 (-.f64 1 (tan.f64 x)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))
62.0ms	(pow.f64 (tan.f64 x) 2)
37.0ms	(-.f64 1 (tan.f64 x))

Compiler

Compiled 1058 to 775 computations (26.7% saved)

simplify116.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4992	3537
1	4992	3537

prune232.0ms (2.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	159	5	164
Fresh	7	8	15
Picked	1	0	1
Done	0	0	0
Total	167	13	180

Error

0.0b

Counts

180 → 13

Compiler

Compiled 4175 to 2737 computations (34.4% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (tan.f64 x) 2)
0.2b	(*.f64 (tan.f64 x) (tan.f64 x))
0.5b	(pow.f64 (tan.f64 x) 4)
0.6b	(pow.f64 (tan.f64 x) 6)

rewrite138.0ms (1.6%)

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:

6.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
3.0ms	(pow.f64 (tan.f64 x) 4)
3.0ms	(pow.f64 (tan.f64 x) 2)
3.0ms	(pow.f64 (tan.f64 x) 6)

Compiler

Compiled 2498 to 1461 computations (41.5% saved)

series348.0ms (3.9%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

104.0ms	(pow.f64 (tan.f64 x) 6)
86.0ms	(pow.f64 (tan.f64 x) 4)
60.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
59.0ms	(pow.f64 (tan.f64 x) 2)

Compiler

Compiled 1818 to 1305 computations (28.2% saved)

simplify59.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5045	968

prune153.0ms (1.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	1	11	12
Picked	0	1	1
Done	0	0	0
Total	104	13	117

Error

0.0b

Counts

117 → 13

Compiler

Compiled 3073 to 1884 computations (38.7% saved)

regimes1.2s (13.2%)

Accuracy

Total 0.3b remaining (89.9%)

Threshold costs 0.3b (89.9%)

Compiler

Compiled 13099 to 8332 computations (36.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	22
1	29	22

end0.0ms (0%)

sample3.4s (38.1%)

Algorithm

1×

intervals

Results

345.0ms	2009×	body	1024	valid
190.0ms	4493×	body	128	valid
125.0ms	971×	body	512	valid
45.0ms	521×	body	256	valid
1.0ms	6×	body	2048	valid

Compiler

Compiled 3031 to 1965 computations (35.2% saved)

Details

analyze699.0ms (7.9%)

sample31.0ms (0.3%)

simplify109.0ms (1.2%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite188.0ms (2.1%)

series401.0ms (4.5%)

simplify82.0ms (0.9%)

prune194.0ms (2.2%)

localize9.0ms (0.1%)

rewrite163.0ms (1.8%)

series393.0ms (4.4%)

simplify76.0ms (0.9%)

prune164.0ms (1.9%)

localize10.0ms (0.1%)

rewrite256.0ms (2.9%)

series469.0ms (5.3%)

simplify116.0ms (1.3%)

prune232.0ms (2.6%)

localize15.0ms (0.2%)

rewrite138.0ms (1.6%)

series348.0ms (3.9%)

simplify59.0ms (0.7%)

prune153.0ms (1.7%)

regimes1.2s (13.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.4s (38.1%)

Profiling