Details

analyze26.0s (69.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0.2%	99.8%	0
0%	0.2%	99.8%	1
0%	0.2%	99.8%	2
0%	0.2%	99.8%	3
0%	0.2%	99.8%	4
0%	0.2%	99.8%	5
0%	0.2%	99.8%	6
0%	0.2%	99.8%	7
0%	0.2%	99.8%	8
0%	0.2%	99.8%	9
0%	0.2%	99.8%	10
0%	0.2%	99.8%	11
0%	0.2%	99.8%	12
0%	0.2%	99.8%	13
0%	0.2%	99.8%	14

Compiler

Compiled 49 to 37 computations (24.5% saved)

sample141.0ms (0.4%)

Algorithm

1×

intervals

Results

54.0ms	147×	body	1024	valid
27.0ms	10×	body	2048	valid
21.0ms	256×	pre	128	true
12.0ms	52×	body	512	valid
2.0ms	32×	body	128	valid
2.0ms	15×	body	256	valid

Compiler

Compiled 66 to 50 computations (24.2% saved)

simplify16.0ms (0%)

Algorithm

1×	egg-herbie

Rules

48×	`cancel-sign-sub-inv_binary64`
44×	`sub-neg_binary64`
24×	`associate--r+_binary64`
23×	`unsub-neg_binary64`
22×	`distribute-rgt-in_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	16	14
2	27	14
3	45	14
4	70	14
5	119	14
6	176	14
7	200	14
8	205	14
9	200	14
10	186	14

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

14.3b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	14.3b	(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))

Compiler

Compiled 26 to 18 computations (30.8% saved)

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

0.1b	(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
0.1b	(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
3.9b	(tan.f64 (+.f64 y z))

rewrite69.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

12×	`*-un-lft-identity_binary64`
10×	`add-log-exp_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`cancel-sign-sub-inv_binary64`
5×	`add-cube-cbrt_binary64`

Counts

3 → 46

Calls

3 calls:

5.0ms	(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
4.0ms	(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
3.0ms	(tan.f64 (+.f64 y z))

Compiler

Compiled 761 to 180 computations (76.3% saved)

series189.0ms (0.5%)

Error

13.1b

Counts

3 → 47

Calls

3 calls:

75.0ms	(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
52.0ms	(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
29.0ms	(tan.f64 (+.f64 y z))

Compiler

Compiled 2955 to 1689 computations (42.8% saved)

simplify70.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

491×	`times-frac_binary64`
355×	`associate-/l*_binary64`
326×	`associate-r_binary64`
315×	`associate-l_binary64`
177×	`associate-+r+_binary64`

Counts

93 → 73

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	205	2513
1	544	2484
2	1640	2436
3	5031	2436

prune67.0ms (0.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	69	4	73
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	4	74

Error

0.2b

Counts

74 → 4

Alt Table

Status	Error	Program
▶	0.2b	(+.f64 x (/.f64 (-.f64 (.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z))) (.f64 (sin.f64 a) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))) (.f64 (cos.f64 a) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))))
	14.6b	(cbrt.f64 (pow.f64 (+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))) 3))
	14.5b	(/.f64 (-.f64 (.f64 x x) (.f64 (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)))) (-.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))))
	15.1b	(.f64 (.f64 (cbrt.f64 (+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)))) (cbrt.f64 (+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))))) (cbrt.f64 (+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)))))

Compiler

Compiled 1482 to 535 computations (63.9% saved)

localize18.0ms (0%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (-.f64 (.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z))) (.f64 (sin.f64 a) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))) (.f64 (cos.f64 a) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))))
0.2b	(-.f64 (.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z))) (.f64 (sin.f64 a) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))))
0.2b	(*.f64 (tan.f64 y) (tan.f64 z))
0.2b	(*.f64 (tan.f64 y) (tan.f64 z))

rewrite208.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

28×	`associate-*r/_binary64`
16×	`tan-quot_binary64`
14×	`add-sqr-sqrt_binary64`
13×	`add-cbrt-cube_binary64`
13×	`add-exp-log_binary64`

Counts

4 → 98

Calls

4 calls:

11.0ms	(/.f64 (-.f64 (.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z))) (.f64 (sin.f64 a) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))) (.f64 (cos.f64 a) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))))
7.0ms	(-.f64 (.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z))) (.f64 (sin.f64 a) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))))
7.0ms	(*.f64 (tan.f64 y) (tan.f64 z))
4.0ms	(*.f64 (tan.f64 y) (tan.f64 z))

Compiler

Compiled 4808 to 1422 computations (70.4% saved)

series415.0ms (1.1%)

Error

0.1b

Counts

4 → 51

Calls

4 calls:

198.0ms	(/.f64 (-.f64 (.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z))) (.f64 (sin.f64 a) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))) (.f64 (cos.f64 a) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))))
102.0ms	(-.f64 (.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z))) (.f64 (sin.f64 a) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))))
33.0ms	(*.f64 (tan.f64 y) (tan.f64 z))
32.0ms	(*.f64 (tan.f64 y) (tan.f64 z))

Compiler

Compiled 6873 to 3273 computations (52.4% saved)

simplify129.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

434×	`associate-r_binary64`
389×	`associate-l_binary64`
324×	`associate-/l*_binary64`
323×	`times-frac_binary64`
223×	`distribute-lft-in_binary64`

Counts

149 → 105

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	452	7588
1	1425	6964
2	5220	6964

prune144.0ms (0.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	101	4	105
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	102	7	109

Error

0.1b

Counts

109 → 7

Alt Table

Status	Error	Program
	0.4b	(+.f64 x (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 1 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))) (/.f64 (sin.f64 a) (cos.f64 a)))) (cbrt.f64 (-.f64 (.f64 1 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))) (/.f64 (sin.f64 a) (cos.f64 a))))) (cbrt.f64 (-.f64 (.f64 1 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))) (/.f64 (sin.f64 a) (cos.f64 a))))))
▶	0.2b	(+.f64 x (/.f64 (-.f64 (.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z))) (.f64 (sin.f64 a) (-.f64 1 (/.f64 (.f64 (sin.f64 z) (tan.f64 y)) (cos.f64 z))))) (.f64 (cos.f64 a) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))))
	14.6b	(cbrt.f64 (pow.f64 (+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))) 3))
	0.2b	(+.f64 x (/.f64 (/.f64 (-.f64 (.f64 (.f64 (cos.f64 a) (+.f64 (.f64 (cos.f64 z) (sin.f64 y)) (.f64 (sin.f64 z) (cos.f64 y)))) (+.f64 1 (.f64 (tan.f64 y) (tan.f64 z)))) (.f64 (.f64 (cos.f64 z) (cos.f64 y)) (.f64 (sin.f64 a) (-.f64 1 (.f64 (.f64 (tan.f64 y) (tan.f64 z)) (.f64 (tan.f64 y) (tan.f64 z))))))) (.f64 (.f64 (cos.f64 z) (cos.f64 y)) (+.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))) (.f64 (cos.f64 a) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))))
	0.3b	(+.f64 x (/.f64 (-.f64 (+.f64 (/.f64 (.f64 (.f64 (sin.f64 z) (sin.f64 y)) (sin.f64 a)) (.f64 (cos.f64 z) (cos.f64 y))) (+.f64 (.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (cos.f64 a)) (.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (cos.f64 a)))) (sin.f64 a)) (.f64 (cos.f64 a) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))))
	14.5b	(/.f64 (-.f64 (.f64 x x) (.f64 (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)))) (-.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))))
	15.1b	(.f64 (.f64 (cbrt.f64 (+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)))) (cbrt.f64 (+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))))) (cbrt.f64 (+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)))))

Compiler

Compiled 5268 to 1793 computations (66% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (-.f64 (.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z))) (.f64 (sin.f64 a) (-.f64 1 (/.f64 (.f64 (sin.f64 z) (tan.f64 y)) (cos.f64 z))))) (.f64 (cos.f64 a) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))))
0.2b	(-.f64 (.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z))) (.f64 (sin.f64 a) (-.f64 1 (/.f64 (*.f64 (sin.f64 z) (tan.f64 y)) (cos.f64 z)))))
0.2b	(*.f64 (tan.f64 y) (tan.f64 z))
0.2b	(*.f64 (sin.f64 z) (tan.f64 y))

rewrite258.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

28×	`associate-*r/_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`associate--r+_binary64`
15×	`cancel-sign-sub-inv_binary64`
14×	`*-un-lft-identity_binary64`

Counts

4 → 108

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z))) (.f64 (sin.f64 a) (-.f64 1 (/.f64 (.f64 (sin.f64 z) (tan.f64 y)) (cos.f64 z))))) (.f64 (cos.f64 a) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))))
9.0ms	(-.f64 (.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z))) (.f64 (sin.f64 a) (-.f64 1 (/.f64 (*.f64 (sin.f64 z) (tan.f64 y)) (cos.f64 z)))))
6.0ms	(*.f64 (sin.f64 z) (tan.f64 y))
4.0ms	(*.f64 (tan.f64 y) (tan.f64 z))

Compiler

Compiled 5832 to 1615 computations (72.3% saved)

series425.0ms (1.1%)

Error

0.1b

Counts

4 → 52

Calls

4 calls:

191.0ms	(/.f64 (-.f64 (.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z))) (.f64 (sin.f64 a) (-.f64 1 (/.f64 (.f64 (sin.f64 z) (tan.f64 y)) (cos.f64 z))))) (.f64 (cos.f64 a) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))))
110.0ms	(-.f64 (.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z))) (.f64 (sin.f64 a) (-.f64 1 (/.f64 (*.f64 (sin.f64 z) (tan.f64 y)) (cos.f64 z)))))
33.0ms	(*.f64 (tan.f64 y) (tan.f64 z))
28.0ms	(*.f64 (sin.f64 z) (tan.f64 y))

Compiler

Compiled 7020 to 3349 computations (52.3% saved)

simplify140.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

443×	`associate-l_binary64`
362×	`associate-/l*_binary64`
341×	`times-frac_binary64`
228×	`associate-/r*_binary64`
224×	`distribute-lft-in_binary64`

Counts

160 → 113

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	496	8235
1	1543	7731
2	5108	7731

prune188.0ms (0.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	111	2	113
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	112	8	120

Error

0.1b

Counts

120 → 8

Alt Table

Status	Error	Program
	0.3b	(+.f64 x (/.f64 (-.f64 (-.f64 (.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z))) (sin.f64 a)) (.f64 (.f64 (neg.f64 (/.f64 (sin.f64 z) (.f64 (cbrt.f64 (cos.f64 z)) (cbrt.f64 (cos.f64 z))))) (/.f64 (tan.f64 y) (cbrt.f64 (cos.f64 z)))) (sin.f64 a))) (.f64 (cos.f64 a) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))))
	14.6b	(cbrt.f64 (pow.f64 (+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))) 3))
	0.4b	(+.f64 x (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 1 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))) (/.f64 (sin.f64 a) (cos.f64 a)))) (cbrt.f64 (-.f64 (.f64 1 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))) (/.f64 (sin.f64 a) (cos.f64 a))))) (cbrt.f64 (-.f64 (.f64 1 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))) (/.f64 (sin.f64 a) (cos.f64 a))))))
✓	0.2b	(+.f64 x (/.f64 (-.f64 (.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z))) (.f64 (sin.f64 a) (-.f64 1 (/.f64 (.f64 (sin.f64 z) (tan.f64 y)) (cos.f64 z))))) (.f64 (cos.f64 a) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))))
	3.2b	(+.f64 x (/.f64 (-.f64 (.f64 (.f64 (cos.f64 a) (+.f64 (pow.f64 (tan.f64 y) 3) (pow.f64 (tan.f64 z) 3))) (+.f64 1 (/.f64 (.f64 (sin.f64 z) (tan.f64 y)) (cos.f64 z)))) (.f64 (+.f64 (.f64 (tan.f64 y) (tan.f64 y)) (-.f64 (.f64 (tan.f64 z) (tan.f64 z)) (.f64 (tan.f64 y) (tan.f64 z)))) (.f64 (sin.f64 a) (-.f64 (.f64 1 1) (.f64 (/.f64 (.f64 (sin.f64 z) (tan.f64 y)) (cos.f64 z)) (/.f64 (.f64 (sin.f64 z) (tan.f64 y)) (cos.f64 z))))))) (.f64 (+.f64 (.f64 (tan.f64 y) (tan.f64 y)) (.f64 (tan.f64 z) (-.f64 (tan.f64 z) (tan.f64 y)))) (.f64 (+.f64 1 (.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (tan.f64 y))) (.f64 (cos.f64 a) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))))))
▶	0.2b	(+.f64 x (/.f64 (/.f64 (-.f64 (.f64 (.f64 (cos.f64 a) (+.f64 (.f64 (cos.f64 z) (sin.f64 y)) (.f64 (sin.f64 z) (cos.f64 y)))) (+.f64 1 (.f64 (tan.f64 y) (tan.f64 z)))) (.f64 (.f64 (cos.f64 z) (cos.f64 y)) (.f64 (sin.f64 a) (-.f64 1 (.f64 (.f64 (tan.f64 y) (tan.f64 z)) (.f64 (tan.f64 y) (tan.f64 z))))))) (.f64 (.f64 (cos.f64 z) (cos.f64 y)) (+.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))) (.f64 (cos.f64 a) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))))
	14.5b	(/.f64 (-.f64 (.f64 x x) (.f64 (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)))) (-.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))))
	15.1b	(.f64 (.f64 (cbrt.f64 (+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)))) (cbrt.f64 (+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))))) (cbrt.f64 (+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)))))

Compiler

Compiled 6672 to 2125 computations (68.2% saved)

localize44.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (tan.f64 y) (tan.f64 z))
0.2b	(.f64 (.f64 (tan.f64 y) (tan.f64 z)) (*.f64 (tan.f64 y) (tan.f64 z)))
0.2b	(.f64 (.f64 (cos.f64 z) (cos.f64 y)) (.f64 (sin.f64 a) (-.f64 1 (.f64 (.f64 (tan.f64 y) (tan.f64 z)) (.f64 (tan.f64 y) (tan.f64 z))))))
0.3b	(/.f64 (-.f64 (.f64 (.f64 (cos.f64 a) (+.f64 (.f64 (cos.f64 z) (sin.f64 y)) (.f64 (sin.f64 z) (cos.f64 y)))) (+.f64 1 (.f64 (tan.f64 y) (tan.f64 z)))) (.f64 (.f64 (cos.f64 z) (cos.f64 y)) (.f64 (sin.f64 a) (-.f64 1 (.f64 (.f64 (tan.f64 y) (tan.f64 z)) (.f64 (tan.f64 y) (tan.f64 z))))))) (.f64 (.f64 (cos.f64 z) (cos.f64 y)) (+.f64 1 (.f64 (tan.f64 y) (tan.f64 z)))))

rewrite518.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

108×	`associate-*r/_binary64`
58×	`frac-times_binary64`
57×	`pow1_binary64`
42×	`associate-/l/_binary64`
40×	`frac-sub_binary64`

Counts

4 → 176

Calls

4 calls:

21.0ms	(/.f64 (-.f64 (.f64 (.f64 (cos.f64 a) (+.f64 (.f64 (cos.f64 z) (sin.f64 y)) (.f64 (sin.f64 z) (cos.f64 y)))) (+.f64 1 (.f64 (tan.f64 y) (tan.f64 z)))) (.f64 (.f64 (cos.f64 z) (cos.f64 y)) (.f64 (sin.f64 a) (-.f64 1 (.f64 (.f64 (tan.f64 y) (tan.f64 z)) (.f64 (tan.f64 y) (tan.f64 z))))))) (.f64 (.f64 (cos.f64 z) (cos.f64 y)) (+.f64 1 (.f64 (tan.f64 y) (tan.f64 z)))))
10.0ms	(.f64 (.f64 (tan.f64 y) (tan.f64 z)) (*.f64 (tan.f64 y) (tan.f64 z)))
9.0ms	(.f64 (.f64 (cos.f64 z) (cos.f64 y)) (.f64 (sin.f64 a) (-.f64 1 (.f64 (.f64 (tan.f64 y) (tan.f64 z)) (.f64 (tan.f64 y) (tan.f64 z))))))
4.0ms	(*.f64 (tan.f64 y) (tan.f64 z))

Compiler

Compiled 18706 to 4428 computations (76.3% saved)

series690.0ms (1.8%)

Error

0.1b

Counts

4 → 46

Calls

4 calls:

398.0ms	(/.f64 (-.f64 (.f64 (.f64 (cos.f64 a) (+.f64 (.f64 (cos.f64 z) (sin.f64 y)) (.f64 (sin.f64 z) (cos.f64 y)))) (+.f64 1 (.f64 (tan.f64 y) (tan.f64 z)))) (.f64 (.f64 (cos.f64 z) (cos.f64 y)) (.f64 (sin.f64 a) (-.f64 1 (.f64 (.f64 (tan.f64 y) (tan.f64 z)) (.f64 (tan.f64 y) (tan.f64 z))))))) (.f64 (.f64 (cos.f64 z) (cos.f64 y)) (+.f64 1 (.f64 (tan.f64 y) (tan.f64 z)))))
126.0ms	(.f64 (.f64 (cos.f64 z) (cos.f64 y)) (.f64 (sin.f64 a) (-.f64 1 (.f64 (.f64 (tan.f64 y) (tan.f64 z)) (.f64 (tan.f64 y) (tan.f64 z))))))
46.0ms	(.f64 (.f64 (tan.f64 y) (tan.f64 z)) (*.f64 (tan.f64 y) (tan.f64 z)))
33.0ms	(*.f64 (tan.f64 y) (tan.f64 z))

Compiler

Compiled 10642 to 4906 computations (53.9% saved)

simplify206.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

680×	`distribute-rgt-in_binary64`
674×	`distribute-lft-in_binary64`
520×	`times-frac_binary64`
267×	`*-commutative_binary64`
180×	`associate-r_binary64`

Counts

222 → 177

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	643	14498
1	2090	12820
2	6036	12820

prune351.0ms (0.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	177	0	177
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	177	8	185

Error

0.1b

Counts

185 → 8

Alt Table

Status	Error	Program
	0.3b	(+.f64 x (/.f64 (-.f64 (-.f64 (.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z))) (sin.f64 a)) (.f64 (.f64 (neg.f64 (/.f64 (sin.f64 z) (.f64 (cbrt.f64 (cos.f64 z)) (cbrt.f64 (cos.f64 z))))) (/.f64 (tan.f64 y) (cbrt.f64 (cos.f64 z)))) (sin.f64 a))) (.f64 (cos.f64 a) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))))
	14.6b	(cbrt.f64 (pow.f64 (+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))) 3))
	0.4b	(+.f64 x (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 1 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))) (/.f64 (sin.f64 a) (cos.f64 a)))) (cbrt.f64 (-.f64 (.f64 1 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))) (/.f64 (sin.f64 a) (cos.f64 a))))) (cbrt.f64 (-.f64 (.f64 1 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))) (/.f64 (sin.f64 a) (cos.f64 a))))))
	0.2b	(+.f64 x (/.f64 (-.f64 (.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z))) (.f64 (sin.f64 a) (-.f64 1 (/.f64 (.f64 (sin.f64 z) (tan.f64 y)) (cos.f64 z))))) (.f64 (cos.f64 a) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))))
	3.2b	(+.f64 x (/.f64 (-.f64 (.f64 (.f64 (cos.f64 a) (+.f64 (pow.f64 (tan.f64 y) 3) (pow.f64 (tan.f64 z) 3))) (+.f64 1 (/.f64 (.f64 (sin.f64 z) (tan.f64 y)) (cos.f64 z)))) (.f64 (+.f64 (.f64 (tan.f64 y) (tan.f64 y)) (-.f64 (.f64 (tan.f64 z) (tan.f64 z)) (.f64 (tan.f64 y) (tan.f64 z)))) (.f64 (sin.f64 a) (-.f64 (.f64 1 1) (.f64 (/.f64 (.f64 (sin.f64 z) (tan.f64 y)) (cos.f64 z)) (/.f64 (.f64 (sin.f64 z) (tan.f64 y)) (cos.f64 z))))))) (.f64 (+.f64 (.f64 (tan.f64 y) (tan.f64 y)) (.f64 (tan.f64 z) (-.f64 (tan.f64 z) (tan.f64 y)))) (.f64 (+.f64 1 (.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (tan.f64 y))) (.f64 (cos.f64 a) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))))))
	0.2b	(+.f64 x (/.f64 (/.f64 (-.f64 (.f64 (.f64 (cos.f64 a) (+.f64 (.f64 (cos.f64 z) (sin.f64 y)) (.f64 (sin.f64 z) (cos.f64 y)))) (+.f64 1 (.f64 (tan.f64 y) (tan.f64 z)))) (.f64 (.f64 (cos.f64 z) (cos.f64 y)) (.f64 (sin.f64 a) (-.f64 1 (.f64 (.f64 (tan.f64 y) (tan.f64 z)) (.f64 (tan.f64 y) (tan.f64 z))))))) (.f64 (.f64 (cos.f64 z) (cos.f64 y)) (+.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))) (.f64 (cos.f64 a) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))))
	14.5b	(/.f64 (-.f64 (.f64 x x) (.f64 (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)))) (-.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))))
	15.1b	(.f64 (.f64 (cbrt.f64 (+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)))) (cbrt.f64 (+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))))) (cbrt.f64 (+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)))))

Compiler

Compiled 16130 to 4458 computations (72.4% saved)

regimes3.9s (10.4%)

Accuracy

Total 0.1b remaining (44%)

Threshold costs 0.1b (44%)

Compiler

Compiled 113168 to 62509 computations (44.8% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
6×	`sub-neg_binary64`
5×	`*-commutative_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	27	29
2	39	29
3	47	29
4	52	29
5	53	29
6	52	29

end6.0ms (0%)

Remove: (sort y z)
Compiler: Compiled 66 to 42 computations (36.4% saved)

sample3.1s (8.4%)

Algorithm

1×

intervals

Results

1.4s	4609×	body	1024	valid
495.0ms	8000×	pre	128	true
290.0ms	1349×	body	512	valid
181.0ms	210×	body	2048	valid
89.0ms	1302×	body	128	valid
76.0ms	530×	body	256	valid

Compiler

Compiled 508 to 262 computations (48.4% saved)

Iter	Nodes	Cost
0	10	14
1	16	14
2	27	14
3	45	14
4	70	14
5	119	14
6	176	14
7	200	14
8	205	14
9	200	14
10	186	14

Iter	Nodes	Cost
0	10	14
1	16	14
2	27	14
3	45	14
4	70	14
5	119	14
6	176	14
7	200	14
8	205	14
9	200	14
10	186	14

Details

analyze26.0s (69.6%)

sample141.0ms (0.4%)

simplify16.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0%)

rewrite69.0ms (0.2%)

series189.0ms (0.5%)

simplify70.0ms (0.2%)

prune67.0ms (0.2%)

localize18.0ms (0%)

rewrite208.0ms (0.6%)

series415.0ms (1.1%)

simplify129.0ms (0.3%)

prune144.0ms (0.4%)

localize30.0ms (0.1%)

rewrite258.0ms (0.7%)

series425.0ms (1.1%)

simplify140.0ms (0.4%)

prune188.0ms (0.5%)

localize44.0ms (0.1%)

rewrite518.0ms (1.4%)

series690.0ms (1.8%)

simplify206.0ms (0.5%)

prune351.0ms (0.9%)

regimes3.9s (10.4%)

simplify5.0ms (0%)

end6.0ms (0%)

sample3.1s (8.4%)

Profiling

Iter	Nodes	Cost
0	10	14
1	16	14
2	27	14
3	45	14
4	70	14
5	119	14
6	176	14
7	200	14
8	205	14
9	200	14
10	186	14