Details

analyze832.0ms (8.5%)

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)

sample55.0ms (0.6%)

Algorithm

1×

intervals

Results

23.0ms	75×	body	1024	valid
9.0ms	137×	body	128	valid
6.0ms	28×	body	512	valid
2.0ms	16×	body	256	valid

Compiler

Compiled 31 to 18 computations (41.9% saved)

simplify138.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (132.0ms)

Iter	Nodes	Cost
0	4853	24
1	4853	24

prune3.0ms (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)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite227.0ms (2.3%)

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` `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)

series462.0ms (4.7%)

Error

0.2b

Counts

4 → 18

Calls

4 calls:

246.0ms	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
71.0ms	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
66.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
59.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Compiler

Compiled 826 to 606 computations (26.6% saved)

simplify107.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4908	2014
1	4908	2014

prune225.0ms (2.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	116	12	128
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	117	12	129

Error

0.0b

Counts

129 → 12

Compiler

Compiled 2737 to 1580 computations (42.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite156.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

21×	`add-sqr-sqrt_binary64_782`
17×	`*-un-lft-identity_binary64_760`
14×	`add-cube-cbrt_binary64_795`
13×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
7×	`cancel-sign-sub-inv_binary64_726`
6×	`add-log-exp_binary64_799` `tan-quot_binary64_919` `associate-l_binary64_701` `associate-r_binary64_700` `times-frac_binary64_766`
3×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793` `swap-sqr_binary64_727` `associate-r/_binary64_702` `associate-/r_binary64_704`
2×	`pow-prod-down_binary64_831` `unswap-sqr_binary64_728` `*-commutative_binary64_691` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `div-inv_binary64_757` `difference-of-squares_binary64_729`
1×	`pow2_binary64_841` `pow-prod-up_binary64_830` `pow-plus_binary64_823` `frac-times_binary64_770` `pow-sqr_binary64_733` `associate-l/_binary64_703` `frac-2neg_binary64_771` `clear-num_binary64_759` `associate-/l/_binary64_707` `associate-/l_binary64_705` `diff-log_binary64_852` `flip3--_binary64_764` `sub-neg_binary64_753` `flip--_binary64_735` `distribute-lft-out--_binary64_712`

Counts

4 → 90

Calls

4 calls:

12.0ms	(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x)))
10.0ms	(/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))
8.0ms	(*.f64 (sin.f64 x) (tan.f64 x))
5.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Compiler

Compiled 2243 to 719 computations (67.9% saved)

series356.0ms (3.6%)

Error

0.0b

Counts

4 → 17

Calls

4 calls:

114.0ms	(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x)))
84.0ms	(/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))
65.0ms	(*.f64 (sin.f64 x) (tan.f64 x))
63.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Compiler

Compiled 884 to 609 computations (31.1% saved)

simplify84.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5004	1400

prune156.0ms (1.6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	1	10	11
Picked	0	1	1
Done	0	0	0
Total	106	13	119

Error

0.0b

Counts

119 → 13

Compiler

Compiled 2595 to 1032 computations (60.2% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))
0.2b	(/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))
0.2b	(*.f64 (sin.f64 x) (tan.f64 x))
0.2b	(*.f64 (sin.f64 x) (tan.f64 x))

rewrite112.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
16×	`add-sqr-sqrt_binary64_782`
12×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
8×	`pow1_binary64_821`
6×	`associate-l_binary64_701` `associate-r_binary64_700` `times-frac_binary64_766` `associate-/r*_binary64_704`
4×	`prod-exp_binary64_809` `add-log-exp_binary64_799` `cbrt-unprod_binary64_793` `tan-quot_binary64_919` `associate-*r/_binary64_702` `div-exp_binary64_811` `cbrt-undiv_binary64_794`
2×	`pow-prod-down_binary64_831` `unswap-sqr_binary64_728` `-commutative_binary64_691` `frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757` `associate-/l/_binary64_707` `associate-/l_binary64_705`

Counts

4 → 82

Calls

4 calls:

6.0ms	(/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))
6.0ms	(/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))
5.0ms	(*.f64 (sin.f64 x) (tan.f64 x))
5.0ms	(*.f64 (sin.f64 x) (tan.f64 x))

Compiler

Compiled 2226 to 576 computations (74.1% saved)

series361.0ms (3.7%)

Error

0.0b

Counts

4 → 16

Calls

4 calls:

106.0ms	(/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))
103.0ms	(/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))
72.0ms	(*.f64 (sin.f64 x) (tan.f64 x))
62.0ms	(*.f64 (sin.f64 x) (tan.f64 x))

Compiler

Compiled 986 to 632 computations (35.9% saved)

simplify86.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4944	1240
1	4944	1240

prune115.0ms (1.2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	98	13	111

Error

0.0b

Counts

111 → 13

Compiler

Compiled 2686 to 906 computations (66.3% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (cos.f64 x) 2)
0.2b	(pow.f64 (cos.f64 x) 2)
0.3b	(pow.f64 (sin.f64 x) 2)
0.3b	(pow.f64 (sin.f64 x) 2)

rewrite115.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`add-cube-cbrt_binary64_795` `unpow-prod-down_binary64_839` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760` `pow-unpow_binary64_837`
8×	`pow1_binary64_821` `add-exp-log_binary64_798`
4×	`pow-pow_binary64_832` `pow-to-exp_binary64_829` `pow-exp_binary64_828` `unpow2_binary64_825` `add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `sqr-pow_binary64_732`

Counts

4 → 72

Calls

4 calls:

3.0ms	(pow.f64 (sin.f64 x) 2)
3.0ms	(pow.f64 (sin.f64 x) 2)
2.0ms	(pow.f64 (cos.f64 x) 2)
2.0ms	(pow.f64 (cos.f64 x) 2)

Compiler

Compiled 2016 to 1337 computations (33.7% saved)

series397.0ms (4%)

Error

0.0b

Counts

4 → 16

Calls

4 calls:

252.0ms	(pow.f64 (cos.f64 x) 2)
46.0ms	(pow.f64 (sin.f64 x) 2)
33.0ms	(pow.f64 (sin.f64 x) 2)
32.0ms	(pow.f64 (cos.f64 x) 2)

Compiler

Compiled 1056 to 805 computations (23.8% saved)

simplify74.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4947	634
1	4947	634

prune128.0ms (1.3%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	88	13	101

Error

0.0b

Counts

101 → 13

Compiler

Compiled 2236 to 1442 computations (35.5% saved)

regimes1.4s (14.1%)

Accuracy

Total 0.3b remaining (89.3%)

Threshold costs 0.3b (89.3%)

Compiler

Compiled 14169 to 8717 computations (38.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	46	34
1	46	34

end0.0ms (0%)

sample4.2s (42.8%)

Algorithm

1×

intervals

Results

409.0ms	2054×	body	1024	valid
215.0ms	4460×	body	128	valid
150.0ms	1016×	body	512	valid
55.0ms	465×	body	256	valid
2.0ms	5×	body	2048	valid

Compiler

Compiled 2752 to 1718 computations (37.6% saved)

Details

analyze832.0ms (8.5%)

sample55.0ms (0.6%)

simplify138.0ms (1.4%)

prune3.0ms (0%)

localize12.0ms (0.1%)

rewrite227.0ms (2.3%)

series462.0ms (4.7%)

simplify107.0ms (1.1%)

prune225.0ms (2.3%)

localize11.0ms (0.1%)

rewrite156.0ms (1.6%)

series356.0ms (3.6%)

simplify84.0ms (0.9%)

prune156.0ms (1.6%)

localize11.0ms (0.1%)

rewrite112.0ms (1.1%)

series361.0ms (3.7%)

simplify86.0ms (0.9%)

prune115.0ms (1.2%)

localize12.0ms (0.1%)

rewrite115.0ms (1.2%)

series397.0ms (4%)

simplify74.0ms (0.8%)

prune128.0ms (1.3%)

regimes1.4s (14.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.2s (42.8%)

Profiling