Details

analyze616.0ms (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)

sample30.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	58×	body	1024	valid
6.0ms	142×	body	128	valid
4.0ms	36×	body	512	valid
2.0ms	19×	body	256	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 34 to 18 computations (47.1% saved)

simplify108.0ms (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

prune2.0ms (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))

rewrite217.0ms (2.8%)

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:

6.0ms	(/.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 2444 to 939 computations (61.6% saved)

series79.0ms (1%)

Error

0.2b

Counts

4 → 14

Calls

4 calls:

29.0ms	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
15.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
15.0ms	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
11.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Compiler

Compiled 577 to 420 computations (27.2% saved)

simplify131.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

290×	`exp-prod_binary64`
264×	`cancel-sign-sub-inv_binary64`
252×	`associate-l_binary64`
211×	`distribute-rgt-neg-in_binary64`
199×	`associate-r_binary64`

Counts

124 → 99

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	123	2514
1	275	2235
2	713	2213
3	2327	2197
4	4493	1945
5	4948	1945

prune145.0ms (1.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	89	10	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	10	100

Error

0.0b

Counts

100 → 10

Alt Table

Status	Error	Program
	0.7b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 5) (cbrt.f64 (tan.f64 x)))))
	0.5b	(*.f64 (/.f64 (+.f64 1 (tan.f64 x)) (sqrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (/.f64 (-.f64 1 (tan.f64 x)) (sqrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))
	0.3b	(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))))
	16.3b	(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (+.f64 1 (pow.f64 (tan.f64 x) 2))))
▶	0.3b	(*.f64 1 (/.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) 6)) (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.7b	(/.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)))))
	0.7b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))
	0.3b	(/.f64 (+.f64 1 (tan.f64 x)) (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (tan.f64 x))))
	32.9b	(/.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))))

Compiler

Compiled 2026 to 1267 computations (37.5% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 1 (pow.f64 (tan.f64 x) 2))
0.1b	(/.f64 (-.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)

rewrite332.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

90×	`*-un-lft-identity_binary64`
76×	`add-sqr-sqrt_binary64`
48×	`times-frac_binary64` `difference-of-squares_binary64`
28×	`add-cube-cbrt_binary64`
21×	`unpow-prod-down_binary64`

Counts

4 → 145

Calls

4 calls:

13.0ms	(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))
6.0ms	(-.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 3204 to 2370 computations (26% saved)

series85.0ms (1.1%)

Error

0.0b

Counts

4 → 14

Calls

4 calls:

30.0ms	(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))
16.0ms	(-.f64 1 (pow.f64 (tan.f64 x) 2))
14.0ms	(pow.f64 (tan.f64 x) 2)
12.0ms	(pow.f64 (tan.f64 x) 2)

Compiler

Compiled 621 to 516 computations (16.9% saved)

simplify167.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

586×	`unswap-sqr_binary64`
412×	`exp-prod_binary64`
381×	`log-prod_binary64`
315×	`cancel-sign-sub-inv_binary64`
271×	`associate-l_binary64`

Counts

159 → 105

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	160	3813
1	343	3186
2	741	3174
3	2496	3174
4	4456	3174
5	4943	3174

prune102.0ms (1.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	105	10	115

Error

0.0b

Counts

115 → 10

Alt Table

Status	Error	Program
	0.7b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 5) (cbrt.f64 (tan.f64 x)))))
	0.5b	(*.f64 (/.f64 (+.f64 1 (tan.f64 x)) (sqrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (/.f64 (-.f64 1 (tan.f64 x)) (sqrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)))))
	0.3b	(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))))
	16.3b	(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))) (+.f64 1 (pow.f64 (tan.f64 x) 2))))
✓	0.3b	(*.f64 1 (/.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) 6)) (+.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.7b	(/.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)))))
	0.7b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))
▶	0.3b	(/.f64 (+.f64 1 (tan.f64 x)) (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (tan.f64 x))))
	32.9b	(/.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))))

Compiler

Compiled 1397 to 999 computations (28.5% 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 (tan.f64 x)) (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (tan.f64 x))))
0.2b	(/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (tan.f64 x)))
0.2b	(pow.f64 (tan.f64 x) 2)

rewrite478.0ms (6.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

319×	`*-un-lft-identity_binary64`
264×	`times-frac_binary64`
183×	`add-sqr-sqrt_binary64`
105×	`add-cube-cbrt_binary64`
68×	`distribute-lft-out_binary64`

Counts

4 → 256

Calls

4 calls:

18.0ms	(/.f64 (+.f64 1 (tan.f64 x)) (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (tan.f64 x))))
10.0ms	(/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (tan.f64 x)))
4.0ms	(-.f64 1 (tan.f64 x))
3.0ms	(pow.f64 (tan.f64 x) 2)

Compiler

Compiled 5479 to 3647 computations (33.4% saved)

series107.0ms (1.4%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

33.0ms	(/.f64 (+.f64 1 (tan.f64 x)) (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (tan.f64 x))))
24.0ms	(/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (tan.f64 x)))
13.0ms	(-.f64 1 (tan.f64 x))
13.0ms	(pow.f64 (tan.f64 x) 2)

Compiler

Compiled 786 to 561 computations (28.6% saved)

simplify346.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

729×	`times-frac_binary64`
444×	`associate-/r/_binary64`
421×	`distribute-rgt-in_binary64`
379×	`associate-/l/_binary64`
364×	`distribute-lft-in_binary64`

Counts

274 → 197

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	289	9765
1	670	9427
2	2089	9409
3	4658	9409
4	4980	9409
5	5010	9409

prune228.0ms (3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	191	6	197
Fresh	4	4	8
Picked	0	1	1
Done	1	0	1
Total	196	11	207

Error

0.0b

Counts

207 → 11

Alt Table

Status	Error	Program
	0.4b	(/.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (-.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))))
	0.5b	(*.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 3)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (+.f64 1 (tan.f64 x)) (+.f64 1 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 2)))))
	0.7b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 5) (cbrt.f64 (tan.f64 x)))))
▶	0.3b	(.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (.f64 (-.f64 1 (tan.f64 x)) (+.f64 1 (tan.f64 x))))
	9.3b	(.f64 (/.f64 (sqrt.f64 (+.f64 1 (tan.f64 x))) (+.f64 1 (pow.f64 (tan.f64 x) 2))) (.f64 (-.f64 1 (tan.f64 x)) (sqrt.f64 (+.f64 1 (tan.f64 x)))))
	0.3b	(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))))
	0.8b	(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 1 (tan.f64 x))) (cbrt.f64 (+.f64 1 (tan.f64 x)))) (+.f64 1 (pow.f64 (tan.f64 x) 2))) (*.f64 (-.f64 1 (tan.f64 x)) (cbrt.f64 (+.f64 1 (tan.f64 x)))))
	33.1b	(.f64 (.f64 (+.f64 1 (sqrt.f64 (tan.f64 x))) (/.f64 (.f64 (cbrt.f64 (+.f64 1 (tan.f64 x))) (cbrt.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 (cbrt.f64 (+.f64 1 (tan.f64 x))) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (-.f64 1 (sqrt.f64 (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)))))
	0.7b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))
✓	0.3b	(/.f64 (+.f64 1 (tan.f64 x)) (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (tan.f64 x))))

Compiler

Compiled 3335 to 2217 computations (33.5% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite314.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

31×	`*-un-lft-identity_binary64`
29×	`add-exp-log_binary64`
25×	`add-sqr-sqrt_binary64`
24×	`associate-l_binary64`
20×	`frac-times_binary64`

Counts

4 → 129

Calls

4 calls:

18.0ms	(.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (.f64 (-.f64 1 (tan.f64 x)) (+.f64 1 (tan.f64 x))))
9.0ms	(*.f64 (-.f64 1 (tan.f64 x)) (+.f64 1 (tan.f64 x)))
4.0ms	(-.f64 1 (tan.f64 x))
3.0ms	(pow.f64 (tan.f64 x) 2)

Compiler

Compiled 3519 to 2359 computations (33% saved)

series127.0ms (1.7%)

Error

0.0b

Counts

4 → 16

Calls

4 calls:

40.0ms	(.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (.f64 (-.f64 1 (tan.f64 x)) (+.f64 1 (tan.f64 x))))
26.0ms	(-.f64 1 (tan.f64 x))
17.0ms	(*.f64 (-.f64 1 (tan.f64 x)) (+.f64 1 (tan.f64 x)))
13.0ms	(pow.f64 (tan.f64 x) 2)

Compiler

Compiled 797 to 580 computations (27.2% saved)

simplify165.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

582×	`times-frac_binary64`
414×	`associate-+l+_binary64`
285×	`associate-/l*_binary64`
240×	`distribute-rgt-in_binary64`
238×	`associate-r_binary64`

Counts

145 → 104

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	207	3392
1	574	3023
2	1944	3020
3	4708	3020
4	4979	3020
5	4971	3020

prune175.0ms (2.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	101	3	104
Fresh	2	7	9
Picked	1	0	1
Done	0	1	1
Total	104	11	115

Error

0.0b

Counts

115 → 11

Alt Table

Status	Error	Program
	0.3b	(/.f64 (/.f64 (*.f64 (+.f64 1 (tan.f64 x)) (-.f64 1 (pow.f64 (tan.f64 x) 2))) (+.f64 1 (pow.f64 (tan.f64 x) 2))) (+.f64 1 (tan.f64 x)))
	0.5b	(*.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 3)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (+.f64 1 (tan.f64 x)) (+.f64 1 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 2)))))
	0.7b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 5) (cbrt.f64 (tan.f64 x)))))
	0.4b	(.f64 (/.f64 1 (+.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6)))) (.f64 (-.f64 1 (tan.f64 x)) (+.f64 1 (tan.f64 x))))
	9.3b	(.f64 (/.f64 (sqrt.f64 (+.f64 1 (tan.f64 x))) (+.f64 1 (pow.f64 (tan.f64 x) 2))) (.f64 (-.f64 1 (tan.f64 x)) (sqrt.f64 (+.f64 1 (tan.f64 x)))))
	0.3b	(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 2))))
	33.1b	(.f64 (.f64 (+.f64 1 (sqrt.f64 (tan.f64 x))) (/.f64 (.f64 (cbrt.f64 (+.f64 1 (tan.f64 x))) (cbrt.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 (cbrt.f64 (+.f64 1 (tan.f64 x))) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (-.f64 1 (sqrt.f64 (tan.f64 x))))))
	0.4b	(+.f64 (/.f64 (-.f64 1 (tan.f64 x)) (+.f64 1 (pow.f64 (tan.f64 x) 2))) (*.f64 (tan.f64 x) (/.f64 (-.f64 1 (tan.f64 x)) (+.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)))))
	0.7b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2))))) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))
	0.3b	(/.f64 (+.f64 1 (tan.f64 x)) (/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (tan.f64 x))))

Compiler

Compiled 2242 to 1505 computations (32.9% saved)

regimes2.4s (31.7%)

Accuracy

Total 0.3b remaining (72.6%)

Threshold costs 0.3b (72.6%)

Compiler

Compiled 42035 to 28960 computations (31.1% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
4×	`sub-neg_binary64`
3×	`*-commutative_binary64`
2×	`neg-mul-1_binary64` `neg-sub0_binary64`
1×	`1-exp_binary64` `cancel-sign-sub-inv_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	38
1	24	38
2	31	38
3	35	38
4	37	38
5	35	38

end1.0ms (0%)

Compiler: Compiled 25 to 16 computations (36% saved)

sample1.2s (16.2%)

Algorithm

1×

intervals

Results

343.0ms	2009×	body	1024	valid
191.0ms	4469×	body	128	valid
135.0ms	1010×	body	512	valid
45.0ms	506×	body	256	valid
1.0ms	6×	body	2048	valid

Compiler

Compiled 351 to 245 computations (30.2% saved)

Details

analyze616.0ms (8%)

sample30.0ms (0.4%)

simplify108.0ms (1.4%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite217.0ms (2.8%)

series79.0ms (1%)

simplify131.0ms (1.7%)

prune145.0ms (1.9%)

localize9.0ms (0.1%)

rewrite332.0ms (4.3%)

series85.0ms (1.1%)

simplify167.0ms (2.2%)

prune102.0ms (1.3%)

localize10.0ms (0.1%)

rewrite478.0ms (6.2%)

series107.0ms (1.4%)

simplify346.0ms (4.5%)

prune228.0ms (3%)

localize11.0ms (0.1%)

rewrite314.0ms (4.1%)

series127.0ms (1.7%)

simplify165.0ms (2.1%)

prune175.0ms (2.3%)

regimes2.4s (31.7%)

simplify4.0ms (0%)

end1.0ms (0%)

sample1.2s (16.2%)

Profiling