Details

analyze796.0ms (10.8%)

Algorithm

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 17 to 9 computations (47.1% saved)

sample37.0ms (0.5%)

Algorithm

1×

intervals

Results

12.0ms	56×	body	1024	valid
8.0ms	145×	body	128	valid
6.0ms	39×	body	512	valid
3.0ms	16×	body	256	valid

Compiler

Compiled 34 to 18 computations (47.1% saved)

simplify107.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

676×	`sub-neg_binary64`
627×	`times-frac_binary64`
614×	`unsub-neg_binary64`
570×	`div-sub_binary64`
462×	`neg-sub0_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	19	24
2	29	24
3	43	24
4	87	24
5	117	24
6	175	24
7	376	24
8	788	24
9	1321	24
10	2683	24
11	3470	24
12	4204	24
13	4847	24
14	4853	24

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

0.3b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	0.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))

Compiler

Compiled 32 to 16 computations (50% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite175.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

31×	`add-sqr-sqrt_binary64`
27×	`*-un-lft-identity_binary64`
22×	`add-cube-cbrt_binary64`
18×	`pow1_binary64`
15×	`times-frac_binary64`

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))))
4.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
4.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
2.0ms	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))

Compiler

Compiled 2444 to 939 computations (61.6% saved)

series76.0ms (1%)

Error

0.2b

Counts

4 → 24

Calls

4 calls:

27.0ms	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
12.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
12.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
12.0ms	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))

Compiler

Compiled 921 to 676 computations (26.6% saved)

simplify161.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

583×	`cancel-sign-sub-inv_binary64`
292×	`associate-l_binary64`
243×	`associate-r_binary64`
212×	`unswap-sqr_binary64`
191×	`exp-prod_binary64`

Counts

134 → 111

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	149	2734
1	341	2455
2	890	2433
3	2844	2419
4	4740	2165
5	4982	2165
6	4906	2165

prune121.0ms (1.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	100	11	111
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	11	112

Error

0.0b

Counts

112 → 11

Alt Table

Status	Error	Program
	0.8b	(/.f64 (log.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.7b	(/.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))) (cbrt.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
	31.6b	(/.f64 (-.f64 1 (.f64 (sqrt.f64 (tan.f64 x)) (pow.f64 (sqrt.f64 (tan.f64 x)) 3))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) 3))
	0.4b	(.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 4))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 (-.f64 (.f64 1 1) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))
	0.8b	(/.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
▶	0.4b	(-.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))))
	0.6b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))))
	0.7b	(.f64 (/.f64 (+.f64 1 (tan.f64 x)) (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))) (/.f64 (-.f64 1 (tan.f64 x)) (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))
	0.7b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))) (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))

Compiler

Compiled 2277 to 1421 computations (37.6% 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))))

rewrite257.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

81×	`*-un-lft-identity_binary64`
70×	`add-sqr-sqrt_binary64`
68×	`times-frac_binary64`
38×	`cancel-sign-sub-inv_binary64`
29×	`add-cube-cbrt_binary64`

Counts

4 → 134

Calls

4 calls:

35.0ms	(-.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))))
2.0ms	(pow.f64 (tan.f64 x) 2)
2.0ms	(pow.f64 (tan.f64 x) 2)
2.0ms	(pow.f64 (tan.f64 x) 2)

Compiler

Compiled 3799 to 2717 computations (28.5% saved)

series109.0ms (1.5%)

Error

0.0b

Counts

4 → 23

Calls

4 calls:

40.0ms	(-.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))))
14.0ms	(pow.f64 (tan.f64 x) 2)
13.0ms	(pow.f64 (tan.f64 x) 2)
12.0ms	(pow.f64 (tan.f64 x) 2)

Compiler

Compiled 1298 to 1017 computations (21.6% saved)

simplify162.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

514×	`associate-/l*_binary64`
415×	`times-frac_binary64`
413×	`associate-*l/_binary64`
276×	`exp-prod_binary64`
254×	`div-sub_binary64`

Counts

157 → 123

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	233	3785
1	580	3457
2	1571	3293
3	4220	3287
4	4554	3287
5	4870	3287

prune94.0ms (1.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	121	2	123
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	124	10	134

Error

0.0b

Counts

134 → 10

Alt Table

Status	Error	Program
	0.8b	(/.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.5b	(*.f64 (+.f64 (sqrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (/.f64 1 (sqrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))) (-.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (sqrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2))))))
	0.7b	(/.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))) (cbrt.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
	31.6b	(/.f64 (-.f64 1 (.f64 (sqrt.f64 (tan.f64 x)) (pow.f64 (sqrt.f64 (tan.f64 x)) 3))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(+.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 4))))
	0.4b	(.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 4))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
▶	0.4b	(/.f64 (-.f64 (.f64 1 1) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))
	0.6b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))))
	0.7b	(.f64 (/.f64 (+.f64 1 (tan.f64 x)) (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))) (/.f64 (-.f64 1 (tan.f64 x)) (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))
	0.7b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))) (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))

Compiler

Compiled 1986 to 1403 computations (29.4% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite897.0ms (12.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

136×	`pow1_binary64`
40×	`tan-quot_binary64`
39×	`pow-prod-up_binary64`
30×	`*-un-lft-identity_binary64`
26×	`pow-prod-down_binary64`

Counts

4 → 174

Calls

4 calls:

11.0ms	(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
9.0ms	(*.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))
4.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
4.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Compiler

Compiled 4576 to 2376 computations (48.1% saved)

series93.0ms (1.3%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

17.0ms	(.f64 (.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x)))
16.0ms	(*.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))
14.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
13.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Compiler

Compiled 1538 to 1092 computations (29% saved)

simplify165.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

466×	`times-frac_binary64`
298×	`distribute-rgt-in_binary64`
257×	`distribute-rgt-out_binary64`
256×	`distribute-lft-in_binary64`
255×	`*-commutative_binary64`

Counts

195 → 167

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	160	2347
1	367	2088
2	1061	1943
3	2752	1908
4	4588	1762
5	4836	1762
6	4940	1762

prune137.0ms (1.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	167	0	167
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	167	10	177

Error

0.0b

Counts

177 → 10

Alt Table

Status	Error	Program
	0.8b	(/.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.5b	(*.f64 (+.f64 (sqrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (/.f64 1 (sqrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))) (-.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (sqrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2))))))
	0.7b	(/.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))) (cbrt.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
	31.6b	(/.f64 (-.f64 1 (.f64 (sqrt.f64 (tan.f64 x)) (pow.f64 (sqrt.f64 (tan.f64 x)) 3))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(+.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 4))))
▶	0.4b	(.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 4))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
✓	0.4b	(/.f64 (-.f64 (.f64 1 1) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))
	0.6b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))))
	0.7b	(.f64 (/.f64 (+.f64 1 (tan.f64 x)) (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))) (/.f64 (-.f64 1 (tan.f64 x)) (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))
	0.7b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))) (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))

Compiler

Compiled 2766 to 1717 computations (37.9% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 4)))
0.2b	(*.f64 (tan.f64 x) (tan.f64 x))
0.2b	(pow.f64 (tan.f64 x) 2)
0.4b	(pow.f64 (tan.f64 x) 4)

rewrite394.0ms (5.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

217×	`add-sqr-sqrt_binary64`
167×	`*-un-lft-identity_binary64`
166×	`difference-of-squares_binary64`
120×	`times-frac_binary64`
54×	`unpow-prod-down_binary64`

Counts

4 → 222

Calls

4 calls:

14.0ms	(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 4)))
4.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
2.0ms	(pow.f64 (tan.f64 x) 4)
2.0ms	(pow.f64 (tan.f64 x) 2)

Compiler

Compiled 6652 to 4227 computations (36.5% saved)

series105.0ms (1.4%)

Error

0.0b

Counts

4 → 23

Calls

4 calls:

31.0ms	(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 4)))
15.0ms	(pow.f64 (tan.f64 x) 4)
13.0ms	(pow.f64 (tan.f64 x) 2)
12.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Compiler

Compiled 1355 to 987 computations (27.2% saved)

simplify242.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

421×	`div-sub_binary64`
339×	`cancel-sign-sub-inv_binary64`
310×	`associate-/l*_binary64`
217×	`associate-/r*_binary64`
206×	`log-prod_binary64`

Counts

245 → 190

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	268	5885
1	464	5777
2	1162	5759
3	3108	5753
4	4887	5753
5	4963	5753

prune116.0ms (1.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	188	2	190
Fresh	1	7	8
Picked	1	0	1
Done	0	1	1
Total	190	10	200

Error

0.0b

Counts

200 → 10

Alt Table

Status	Error	Program
	0.4b	(/.f64 (-.f64 (.f64 1 1) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) (.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))
	0.3b	(.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 2) (sqrt.f64 4)))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.8b	(/.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.5b	(*.f64 (+.f64 (sqrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (/.f64 1 (sqrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))) (-.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (sqrt.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2))))))
	31.6b	(/.f64 (-.f64 1 (.f64 (sqrt.f64 (tan.f64 x)) (pow.f64 (sqrt.f64 (tan.f64 x)) 3))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(+.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 4))))
	0.4b	(.f64 (/.f64 (-.f64 (pow.f64 1 3) (pow.f64 (pow.f64 (tan.f64 x) 2) 3)) (.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.6b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))))
	0.7b	(.f64 (/.f64 (+.f64 1 (tan.f64 x)) (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))) (/.f64 (-.f64 1 (tan.f64 x)) (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))
	0.7b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))))) (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))

Compiler

Compiled 2035 to 1289 computations (36.7% saved)

regimes1.7s (23.6%)

Accuracy

Total 0.2b remaining (69.4%)

Threshold costs 0.2b (69.4%)

Compiler

Compiled 35713 to 24326 computations (31.9% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	14	20
2	18	20
3	20	20
4	21	20
5	20	20

end1.0ms (0%)

Compiler: Compiled 14 to 11 computations (21.4% saved)

sample1.3s (18.2%)

Algorithm

1×

intervals

Results

457.0ms	2058×	body	1024	valid
246.0ms	4478×	body	128	valid
158.0ms	970×	body	512	valid
55.0ms	490×	body	256	valid
1.0ms	4×	body	2048	valid

Compiler

Compiled 323 to 227 computations (29.7% saved)

Details

analyze796.0ms (10.8%)

sample37.0ms (0.5%)

simplify107.0ms (1.4%)

prune1.0ms (0%)

localize7.0ms (0.1%)

rewrite175.0ms (2.4%)

series76.0ms (1%)

simplify161.0ms (2.2%)

prune121.0ms (1.6%)

localize9.0ms (0.1%)

rewrite257.0ms (3.5%)

series109.0ms (1.5%)

simplify162.0ms (2.2%)

prune94.0ms (1.3%)

localize12.0ms (0.2%)

rewrite897.0ms (12.2%)

series93.0ms (1.3%)

simplify165.0ms (2.2%)

prune137.0ms (1.9%)

localize12.0ms (0.2%)

rewrite394.0ms (5.3%)

series105.0ms (1.4%)

simplify242.0ms (3.3%)

prune116.0ms (1.6%)

regimes1.7s (23.6%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample1.3s (18.2%)

Profiling