Details

analyze891.0ms (8.4%)

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)

sample30.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	53×	body	1024	valid
6.0ms	149×	body	128	valid
5.0ms	37×	body	512	valid
1.0ms	17×	body	256	valid

Compiler

Compiled 31 to 18 computations (41.9% saved)

simplify122.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (116.0ms)

Iter	Nodes	Cost
0	4853	24
1	4853	24

prune4.0ms (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)

localize15.0ms (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))))
0.3b	(*.f64 (tan.f64 x) (tan.f64 x))
0.3b	(*.f64 (tan.f64 x) (tan.f64 x))

rewrite274.0ms (2.6%)

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:

13.0ms	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
11.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
10.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
6.0ms	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))

Compiler

Compiled 2625 to 1007 computations (61.6% saved)

series514.0ms (4.8%)

Error

0.2b

Counts

4 → 24

Calls

4 calls:

233.0ms	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
89.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
82.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
81.0ms	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))

Compiler

Compiled 1044 to 767 computations (26.5% saved)

simplify113.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4936	2173
1	4936	2173

prune220.0ms (2.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	123	11	134
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	124	11	135

Error

0.0b

Counts

135 → 11

Compiler

Compiled 2846 to 1650 computations (42% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite186.0ms (1.8%)

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

Compiler

Compiled 2016 to 1337 computations (33.7% saved)

series210.0ms (2%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

55.0ms	(pow.f64 (sin.f64 x) 2)
42.0ms	(pow.f64 (sin.f64 x) 2)
40.0ms	(pow.f64 (cos.f64 x) 2)
39.0ms	(pow.f64 (cos.f64 x) 2)

Compiler

Compiled 1488 to 1139 computations (23.5% saved)

simplify108.0ms (1%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	5000	822

prune182.0ms (1.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	93	3	96
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	94	13	107

Error

0.0b

Counts

107 → 13

Compiler

Compiled 2798 to 1847 computations (34% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.3b	(*.f64 (tan.f64 x) (tan.f64 x))
0.7b	(pow.f64 (tan.f64 x) 6)
9.9b	(cbrt.f64 (pow.f64 (tan.f64 x) 6))

rewrite306.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

71×	`add-sqr-sqrt_binary64_782`
53×	`*-un-lft-identity_binary64_760`
36×	`times-frac_binary64_766`
32×	`difference-of-squares_binary64_729`
31×	`cbrt-prod_binary64_791`
29×	`add-cube-cbrt_binary64_795`
14×	`unpow-prod-down_binary64_839`
12×	`pow1_binary64_821` `associate-/l*_binary64_705`
10×	`sqr-pow_binary64_732`
9×	`add-exp-log_binary64_798`
8×	`add-cbrt-cube_binary64_796`
4×	`add-log-exp_binary64_799` `tan-quot_binary64_919` `distribute-lft-out--_binary64_712`
3×	`pow-unpow_binary64_837` `swap-sqr_binary64_727` `associate-l_binary64_701` `associate-r_binary64_700` `associate-/r*_binary64_704`
2×	`associate-/l/_binary64_707` `associate-/r/_binary64_706`
1×	`pow1/3_binary64_842` `pow-pow_binary64_832` `pow-to-exp_binary64_829` `pow-exp_binary64_828` `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` `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_764` `flip--_binary64_735` `flip3-+_binary64_763` `flip-+_binary64_734`

Counts

4 → 128

Calls

4 calls:

12.0ms	(/.f64 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
10.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
4.0ms	(pow.f64 (tan.f64 x) 6)
2.0ms	(cbrt.f64 (pow.f64 (tan.f64 x) 6))

Compiler

Compiled 3399 to 1981 computations (41.7% saved)

series553.0ms (5.2%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

276.0ms	(/.f64 (-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
120.0ms	(pow.f64 (tan.f64 x) 6)
74.0ms	(cbrt.f64 (pow.f64 (tan.f64 x) 6))
57.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Compiler

Compiled 1102 to 851 computations (22.8% saved)

simplify98.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5003	3096

prune249.0ms (2.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	148	4	152
Fresh	3	8	11
Picked	1	0	1
Done	1	0	1
Total	153	12	165

Error

0.0b

Counts

165 → 12

Compiler

Compiled 3486 to 2329 computations (33.2% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.7b	(pow.f64 (tan.f64 x) 6)
0.7b	(pow.f64 (tan.f64 x) 6)
9.9b	(cbrt.f64 (pow.f64 (tan.f64 x) 6))
9.9b	(cbrt.f64 (pow.f64 (tan.f64 x) 6))

rewrite127.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`cbrt-prod_binary64_791`
12×	`add-cube-cbrt_binary64_795` `unpow-prod-down_binary64_839` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
6×	`pow1_binary64_821` `add-exp-log_binary64_798` `pow-unpow_binary64_837`
4×	`add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `sqr-pow_binary64_732`
2×	`pow1/3_binary64_842` `pow-pow_binary64_832` `pow-to-exp_binary64_829` `pow-exp_binary64_828`

Counts

4 → 64

Calls

4 calls:

6.0ms	(pow.f64 (tan.f64 x) 6)
5.0ms	(pow.f64 (tan.f64 x) 6)
5.0ms	(cbrt.f64 (pow.f64 (tan.f64 x) 6))
5.0ms	(cbrt.f64 (pow.f64 (tan.f64 x) 6))

Compiler

Compiled 1348 to 986 computations (26.9% saved)

series505.0ms (4.8%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

156.0ms	(pow.f64 (tan.f64 x) 6)
126.0ms	(pow.f64 (tan.f64 x) 6)
94.0ms	(cbrt.f64 (pow.f64 (tan.f64 x) 6))
83.0ms	(cbrt.f64 (pow.f64 (tan.f64 x) 6))

Compiler

Compiled 1188 to 1000 computations (15.8% saved)

simplify74.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5102	914

prune133.0ms (1.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	87	13	100

Error

0.0b

Counts

100 → 13

Compiler

Compiled 1656 to 1206 computations (27.2% saved)

regimes1.3s (12.7%)

Accuracy

Total 0.3b remaining (89.4%)

Threshold costs 0.3b (89.4%)

Compiler

Compiled 10874 to 7020 computations (35.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	24
1	27	24

end0.0ms (0%)

sample4.3s (40.5%)

Algorithm

1×

intervals

Results

480.0ms	2066×	body	1024	valid
247.0ms	4484×	body	128	valid
173.0ms	979×	body	512	valid
53.0ms	462×	body	256	valid
3.0ms	9×	body	2048	valid

Compiler

Compiled 2738 to 1766 computations (35.5% saved)

Details

analyze891.0ms (8.4%)

sample30.0ms (0.3%)

simplify122.0ms (1.1%)

prune4.0ms (0%)

localize15.0ms (0.1%)

rewrite274.0ms (2.6%)

series514.0ms (4.8%)

simplify113.0ms (1.1%)

prune220.0ms (2.1%)

localize18.0ms (0.2%)

rewrite186.0ms (1.8%)

series210.0ms (2%)

simplify108.0ms (1%)

prune182.0ms (1.7%)

localize9.0ms (0.1%)

rewrite306.0ms (2.9%)

series553.0ms (5.2%)

simplify98.0ms (0.9%)

prune249.0ms (2.3%)

localize18.0ms (0.2%)

rewrite127.0ms (1.2%)

series505.0ms (4.8%)

simplify74.0ms (0.7%)

prune133.0ms (1.3%)

regimes1.3s (12.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.3s (40.5%)

Profiling