Details

analyze28.3s (66.6%)

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 72 to 53 computations (26.4% saved)

sample119.0ms (0.3%)

Algorithm

1×

intervals

Results

52.0ms	142×	body	1024	valid
19.0ms	256×	pre	128	true
10.0ms	45×	body	512	valid
4.0ms	23×	body	256	valid
3.0ms	41×	body	128	valid
3.0ms	5×	body	2048	valid

Compiler

Compiled 89 to 66 computations (25.8% saved)

simplify20.0ms (0%)

Algorithm

1×	egg-herbie

Rules

132×	`fma-neg_binary64`
75×	`fma-def_binary64`
48×	`cancel-sign-sub-inv_binary64`
39×	`sub-neg_binary64`
24×	`associate--r+_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	16	14
2	27	14
3	47	14
4	76	14
5	129	14
6	210	14
7	264	14
8	305	14
9	341	14
10	352	14
11	338	14

prune2.0ms (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

11.7b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	11.7b	(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))

Compiler

Compiled 39 to 27 computations (30.8% saved)

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
✓	0.1b	(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
✓	3.3b	(tan.f64 (+.f64 y z))

series180.0ms (0.4%)

Counts

3 → 108

Calls

3 calls:

83.0ms	(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
66.0ms	(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
30.0ms	(tan.f64 (+.f64 y z))

rewrite21.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`*-un-lft-identity_binary64`
21×	`add-sqr-sqrt_binary64`
19×	`add-cube-cbrt_binary64`
18×	`prod-diff_binary64`
13×	`associate-+r+_binary64`

Counts

3 → 76

Calls

3 calls:

8.0ms	(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
6.0ms	(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
3.0ms	(tan.f64 (+.f64 y z))

simplify193.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

658×	`times-frac_binary64`
273×	`associate-+r+_binary64`
218×	`+-commutative_binary64`
209×	`fma-neg_binary64`
202×	`associate-+l+_binary64`

Counts

184 → 171

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	285	4874
1	743	4585
2	2461	4488
3	4812	4487
4	4982	4486
5	4996	4486
6	4925	4486

prune210.0ms (0.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	163	8	171
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	164	8	172

Error

0.1b

Counts

172 → 8

Alt Table

Status	Error	Program
▶	0.2b	(+.f64 x (/.f64 (fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (.f64 (sin.f64 a) (+.f64 (.f64 (tan.f64 y) (tan.f64 z)) -1))) (.f64 (cos.f64 a) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))))
	11.9b	(/.f64 (fma.f64 x x (*.f64 (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) (-.f64 (tan.f64 a) (tan.f64 (+.f64 z y))))) (-.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))))
	11.8b	(+.f64 (+.f64 x (tan.f64 (+.f64 y z))) (.f64 (neg.f64 (.f64 (cbrt.f64 (tan.f64 a)) (cbrt.f64 (tan.f64 a)))) (cbrt.f64 (tan.f64 a))))
	11.8b	(log.f64 (*.f64 (exp.f64 x) (/.f64 (exp.f64 (tan.f64 (+.f64 y z))) (exp.f64 (tan.f64 a)))))
	0.2b	(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
	12.6b	(fma.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
	12.0b	(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) (*.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))))))
	12.1b	(cbrt.f64 (.f64 (.f64 (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))) (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))))

Compiler

Compiled 4954 to 1659 computations (66.5% saved)

localize21.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 x (/.f64 (fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (.f64 (sin.f64 a) (+.f64 (.f64 (tan.f64 y) (tan.f64 z)) -1))) (.f64 (cos.f64 a) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))))
✓	0.1b	(fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (.f64 (sin.f64 a) (+.f64 (.f64 (tan.f64 y) (tan.f64 z)) -1)))
✓	0.2b	(/.f64 (fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (.f64 (sin.f64 a) (+.f64 (.f64 (tan.f64 y) (tan.f64 z)) -1))) (.f64 (cos.f64 a) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z)))))
✓	0.2b	(*.f64 (tan.f64 y) (tan.f64 z))

series953.0ms (2.2%)

Counts

4 → 144

Calls

4 calls:

449.0ms	(+.f64 x (/.f64 (fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (.f64 (sin.f64 a) (+.f64 (.f64 (tan.f64 y) (tan.f64 z)) -1))) (.f64 (cos.f64 a) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))))
339.0ms	(/.f64 (fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (.f64 (sin.f64 a) (+.f64 (.f64 (tan.f64 y) (tan.f64 z)) -1))) (.f64 (cos.f64 a) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z)))))
128.0ms	(fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (.f64 (sin.f64 a) (+.f64 (.f64 (tan.f64 y) (tan.f64 z)) -1)))
36.0ms	(*.f64 (tan.f64 y) (tan.f64 z))

rewrite22.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64`
11×	`add-sqr-sqrt_binary64`
11×	`add-cbrt-cube_binary64`
11×	`add-exp-log_binary64`
9×	`add-cube-cbrt_binary64`

Counts

4 → 75

Calls

4 calls:

5.0ms	(+.f64 x (/.f64 (fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (.f64 (sin.f64 a) (+.f64 (.f64 (tan.f64 y) (tan.f64 z)) -1))) (.f64 (cos.f64 a) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))))
5.0ms	(/.f64 (fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (.f64 (sin.f64 a) (+.f64 (.f64 (tan.f64 y) (tan.f64 z)) -1))) (.f64 (cos.f64 a) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z)))))
4.0ms	(*.f64 (tan.f64 y) (tan.f64 z))
0.0ms	(fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (.f64 (sin.f64 a) (+.f64 (.f64 (tan.f64 y) (tan.f64 z)) -1)))

simplify294.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

351×	`times-frac_binary64`
331×	`associate-/l*_binary64`
273×	`associate-r_binary64`
257×	`fma-def_binary64`
243×	`associate-/r*_binary64`

Counts

219 → 212

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	550	16508
1	1614	16158
2	4921	16158
3	5041	16158

prune463.0ms (1.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	250	4	254
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	252	10	262

Error

0.0b

Counts

262 → 10

Alt Table

Status	Error	Program
	0.2b	(+.f64 x (/.f64 (/.f64 (fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (.f64 (sin.f64 a) (fma.f64 (tan.f64 y) (tan.f64 z) -1))) (cos.f64 a)) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z)))))
▶	0.2b	(+.f64 x (/.f64 (fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (.f64 (sin.f64 a) (+.f64 (.f64 (tan.f64 y) (tan.f64 z)) -1))) (.f64 (cos.f64 a) (-.f64 1 (/.f64 (.f64 (sin.f64 y) (sin.f64 z)) (*.f64 (cos.f64 y) (cos.f64 z)))))))
	0.2b	(+.f64 x (.f64 (fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (.f64 (sin.f64 a) (+.f64 (.f64 (tan.f64 y) (tan.f64 z)) -1))) (/.f64 1 (.f64 (cos.f64 a) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))))))
	12.6b	(fma.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
	0.3b	(+.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (.f64 (/.f64 (sin.f64 y) (.f64 (cos.f64 y) (-.f64 1 (/.f64 (.f64 (sin.f64 z) (sin.f64 y)) (.f64 (cos.f64 z) (cos.f64 y)))))) (/.f64 (sin.f64 z) (cos.f64 z))) (/.f64 (sin.f64 z) (.f64 (cos.f64 z) (-.f64 1 (/.f64 (.f64 (sin.f64 z) (sin.f64 y)) (.f64 (cos.f64 z) (cos.f64 y))))))) x) (-.f64 (/.f64 (sin.f64 y) (.f64 (cos.f64 y) (-.f64 1 (/.f64 (.f64 (sin.f64 z) (sin.f64 y)) (.f64 (cos.f64 z) (cos.f64 y)))))) (/.f64 (sin.f64 a) (.f64 (-.f64 1 (/.f64 (.f64 (sin.f64 z) (sin.f64 y)) (*.f64 (cos.f64 z) (cos.f64 y)))) (cos.f64 a)))))
	12.0b	(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) (*.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))))))
	11.8b	(+.f64 (+.f64 x (tan.f64 (+.f64 y z))) (.f64 (neg.f64 (.f64 (cbrt.f64 (tan.f64 a)) (cbrt.f64 (tan.f64 a)))) (cbrt.f64 (tan.f64 a))))
	11.8b	(log.f64 (*.f64 (exp.f64 x) (/.f64 (exp.f64 (tan.f64 (+.f64 y z))) (exp.f64 (tan.f64 a)))))
	11.9b	(/.f64 (fma.f64 x x (*.f64 (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) (-.f64 (tan.f64 a) (tan.f64 (+.f64 z y))))) (-.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))))
	12.1b	(cbrt.f64 (.f64 (.f64 (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))) (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))))

Compiler

Compiled 15334 to 5160 computations (66.3% saved)

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (sin.f64 y) (sin.f64 z))
✓	0.2b	(/.f64 (fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (.f64 (sin.f64 a) (+.f64 (.f64 (tan.f64 y) (tan.f64 z)) -1))) (.f64 (cos.f64 a) (-.f64 1 (/.f64 (.f64 (sin.f64 y) (sin.f64 z)) (*.f64 (cos.f64 y) (cos.f64 z))))))
	0.2b	(*.f64 (tan.f64 y) (tan.f64 z))
✓	0.2b	(/.f64 (.f64 (sin.f64 y) (sin.f64 z)) (.f64 (cos.f64 y) (cos.f64 z)))

series388.0ms (0.9%)

Counts

3 → 52

Calls

3 calls:

340.0ms

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

38.0ms

(/.f64 (*.f64 (sin.f64 y) (sin.f64 z)) (*.f64 (cos.f64 y) (cos.f64 z)))

10.0ms

(*.f64 (sin.f64 y) (sin.f64 z))

rewrite24.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-cbrt-cube_binary64`
22×	`add-exp-log_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64`
7×	`add-cube-cbrt_binary64`

Counts

3 → 71

Calls

3 calls:

7.0ms

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

5.0ms

(/.f64 (*.f64 (sin.f64 y) (sin.f64 z)) (*.f64 (cos.f64 y) (cos.f64 z)))

4.0ms

(*.f64 (sin.f64 y) (sin.f64 z))

simplify175.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

511×	`times-frac_binary64`
364×	`associate-/l*_binary64`
278×	`associate-r_binary64`
270×	`associate-/r*_binary64`
250×	`associate-l_binary64`

Counts

123 → 172

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	404	6972
1	1153	6526
2	4995	6526
3	5099	6526

prune498.0ms (1.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	212	2	214
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	214	10	224

Error

0.0b

Counts

224 → 10

Alt Table

Status	Error	Program
	0.2b	(+.f64 x (.f64 (/.f64 (fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (.f64 (sin.f64 a) (+.f64 (.f64 (tan.f64 y) (tan.f64 z)) -1))) (.f64 (cos.f64 a) (-.f64 (pow.f64 1 3) (pow.f64 (/.f64 (.f64 (sin.f64 y) (sin.f64 z)) (.f64 (cos.f64 y) (cos.f64 z))) 3)))) (+.f64 (.f64 1 1) (+.f64 (.f64 (/.f64 (.f64 (sin.f64 y) (sin.f64 z)) (.f64 (cos.f64 y) (cos.f64 z))) (/.f64 (.f64 (sin.f64 y) (sin.f64 z)) (.f64 (cos.f64 y) (cos.f64 z)))) (.f64 1 (/.f64 (.f64 (sin.f64 y) (sin.f64 z)) (*.f64 (cos.f64 y) (cos.f64 z))))))))
	0.5b	(+.f64 x (.f64 (.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (.f64 (sin.f64 a) (+.f64 (.f64 (tan.f64 y) (tan.f64 z)) -1))) (.f64 (cos.f64 a) (-.f64 1 (/.f64 (.f64 (sin.f64 y) (sin.f64 z)) (.f64 (cos.f64 y) (cos.f64 z))))))) (cbrt.f64 (/.f64 (fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (.f64 (sin.f64 a) (+.f64 (.f64 (tan.f64 y) (tan.f64 z)) -1))) (.f64 (cos.f64 a) (-.f64 1 (/.f64 (.f64 (sin.f64 y) (sin.f64 z)) (.f64 (cos.f64 y) (cos.f64 z)))))))) (cbrt.f64 (/.f64 (fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (.f64 (sin.f64 a) (+.f64 (.f64 (tan.f64 y) (tan.f64 z)) -1))) (.f64 (cos.f64 a) (-.f64 1 (/.f64 (.f64 (sin.f64 y) (sin.f64 z)) (*.f64 (cos.f64 y) (cos.f64 z)))))))))
	0.3b	(+.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (.f64 (/.f64 (sin.f64 y) (.f64 (cos.f64 y) (-.f64 1 (/.f64 (.f64 (sin.f64 z) (sin.f64 y)) (.f64 (cos.f64 z) (cos.f64 y)))))) (/.f64 (sin.f64 z) (cos.f64 z))) (/.f64 (sin.f64 z) (.f64 (cos.f64 z) (-.f64 1 (/.f64 (.f64 (sin.f64 z) (sin.f64 y)) (.f64 (cos.f64 z) (cos.f64 y))))))) x) (-.f64 (/.f64 (sin.f64 y) (.f64 (cos.f64 y) (-.f64 1 (/.f64 (.f64 (sin.f64 z) (sin.f64 y)) (.f64 (cos.f64 z) (cos.f64 y)))))) (/.f64 (sin.f64 a) (.f64 (-.f64 1 (/.f64 (.f64 (sin.f64 z) (sin.f64 y)) (*.f64 (cos.f64 z) (cos.f64 y)))) (cos.f64 a)))))
	12.0b	(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) (*.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))))))
	11.8b	(+.f64 (+.f64 x (tan.f64 (+.f64 y z))) (.f64 (neg.f64 (.f64 (cbrt.f64 (tan.f64 a)) (cbrt.f64 (tan.f64 a)))) (cbrt.f64 (tan.f64 a))))
	11.8b	(log.f64 (*.f64 (exp.f64 x) (/.f64 (exp.f64 (tan.f64 (+.f64 y z))) (exp.f64 (tan.f64 a)))))
▶	0.2b	(+.f64 x (/.f64 (/.f64 (fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (.f64 (sin.f64 a) (fma.f64 (tan.f64 y) (tan.f64 z) -1))) (cos.f64 a)) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z)))))
	12.6b	(fma.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
	11.9b	(/.f64 (fma.f64 x x (*.f64 (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) (-.f64 (tan.f64 a) (tan.f64 (+.f64 z y))))) (-.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))))
	12.1b	(cbrt.f64 (.f64 (.f64 (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))) (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))))

Compiler

Compiled 12570 to 4064 computations (67.7% saved)

localize21.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 x (/.f64 (/.f64 (fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (.f64 (sin.f64 a) (fma.f64 (tan.f64 y) (tan.f64 z) -1))) (cos.f64 a)) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z)))))
✓	0.1b	(fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (*.f64 (sin.f64 a) (fma.f64 (tan.f64 y) (tan.f64 z) -1)))
✓	0.2b	(/.f64 (fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (*.f64 (sin.f64 a) (fma.f64 (tan.f64 y) (tan.f64 z) -1))) (cos.f64 a))
	0.2b	(*.f64 (tan.f64 y) (tan.f64 z))

series769.0ms (1.8%)

Counts

3 → 120

Calls

3 calls:

455.0ms

(+.f64 x (/.f64 (/.f64 (fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (*.f64 (sin.f64 a) (fma.f64 (tan.f64 y) (tan.f64 z) -1))) (cos.f64 a)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))))

172.0ms

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

142.0ms

(fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (*.f64 (sin.f64 a) (fma.f64 (tan.f64 y) (tan.f64 z) -1)))

rewrite20.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary64`
12×	`add-sqr-sqrt_binary64`
12×	`add-cube-cbrt_binary64`
9×	`times-frac_binary64`
5×	`add-cbrt-cube_binary64`

Counts

3 → 56

Calls

3 calls:

13.0ms

(+.f64 x (/.f64 (/.f64 (fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (*.f64 (sin.f64 a) (fma.f64 (tan.f64 y) (tan.f64 z) -1))) (cos.f64 a)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))))

2.0ms

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

0.0ms

(fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (*.f64 (sin.f64 a) (fma.f64 (tan.f64 y) (tan.f64 z) -1)))

simplify216.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

404×	`times-frac_binary64`
368×	`associate-/l*_binary64`
344×	`associate-+l+_binary64`
263×	`fma-def_binary64`
235×	`associate-r_binary64`

Counts

176 → 141

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	489	14299
1	1482	13805
2	5356	13805

prune639.0ms (1.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	183	0	183
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	183	10	193

Error

0.0b

Counts

193 → 10

Alt Table

Status	Error	Program
	0.2b	(+.f64 x (.f64 (/.f64 (fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (.f64 (sin.f64 a) (+.f64 (.f64 (tan.f64 y) (tan.f64 z)) -1))) (.f64 (cos.f64 a) (-.f64 (pow.f64 1 3) (pow.f64 (/.f64 (.f64 (sin.f64 y) (sin.f64 z)) (.f64 (cos.f64 y) (cos.f64 z))) 3)))) (+.f64 (.f64 1 1) (+.f64 (.f64 (/.f64 (.f64 (sin.f64 y) (sin.f64 z)) (.f64 (cos.f64 y) (cos.f64 z))) (/.f64 (.f64 (sin.f64 y) (sin.f64 z)) (.f64 (cos.f64 y) (cos.f64 z)))) (.f64 1 (/.f64 (.f64 (sin.f64 y) (sin.f64 z)) (*.f64 (cos.f64 y) (cos.f64 z))))))))
	0.5b	(+.f64 x (.f64 (.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (.f64 (sin.f64 a) (+.f64 (.f64 (tan.f64 y) (tan.f64 z)) -1))) (.f64 (cos.f64 a) (-.f64 1 (/.f64 (.f64 (sin.f64 y) (sin.f64 z)) (.f64 (cos.f64 y) (cos.f64 z))))))) (cbrt.f64 (/.f64 (fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (.f64 (sin.f64 a) (+.f64 (.f64 (tan.f64 y) (tan.f64 z)) -1))) (.f64 (cos.f64 a) (-.f64 1 (/.f64 (.f64 (sin.f64 y) (sin.f64 z)) (.f64 (cos.f64 y) (cos.f64 z)))))))) (cbrt.f64 (/.f64 (fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (.f64 (sin.f64 a) (+.f64 (.f64 (tan.f64 y) (tan.f64 z)) -1))) (.f64 (cos.f64 a) (-.f64 1 (/.f64 (.f64 (sin.f64 y) (sin.f64 z)) (*.f64 (cos.f64 y) (cos.f64 z)))))))))
	0.3b	(+.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (.f64 (/.f64 (sin.f64 y) (.f64 (cos.f64 y) (-.f64 1 (/.f64 (.f64 (sin.f64 z) (sin.f64 y)) (.f64 (cos.f64 z) (cos.f64 y)))))) (/.f64 (sin.f64 z) (cos.f64 z))) (/.f64 (sin.f64 z) (.f64 (cos.f64 z) (-.f64 1 (/.f64 (.f64 (sin.f64 z) (sin.f64 y)) (.f64 (cos.f64 z) (cos.f64 y))))))) x) (-.f64 (/.f64 (sin.f64 y) (.f64 (cos.f64 y) (-.f64 1 (/.f64 (.f64 (sin.f64 z) (sin.f64 y)) (.f64 (cos.f64 z) (cos.f64 y)))))) (/.f64 (sin.f64 a) (.f64 (-.f64 1 (/.f64 (.f64 (sin.f64 z) (sin.f64 y)) (*.f64 (cos.f64 z) (cos.f64 y)))) (cos.f64 a)))))
	12.0b	(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) (*.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))))))
	11.8b	(+.f64 (+.f64 x (tan.f64 (+.f64 y z))) (.f64 (neg.f64 (.f64 (cbrt.f64 (tan.f64 a)) (cbrt.f64 (tan.f64 a)))) (cbrt.f64 (tan.f64 a))))
	11.8b	(log.f64 (*.f64 (exp.f64 x) (/.f64 (exp.f64 (tan.f64 (+.f64 y z))) (exp.f64 (tan.f64 a)))))
✓	0.2b	(+.f64 x (/.f64 (/.f64 (fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (.f64 (sin.f64 a) (fma.f64 (tan.f64 y) (tan.f64 z) -1))) (cos.f64 a)) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z)))))
	12.6b	(fma.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
	11.9b	(/.f64 (fma.f64 x x (*.f64 (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) (-.f64 (tan.f64 a) (tan.f64 (+.f64 z y))))) (-.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))))
	12.1b	(cbrt.f64 (.f64 (.f64 (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))) (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))))

Compiler

Compiled 10761 to 3603 computations (66.5% saved)

regimes5.1s (12%)

Accuracy

Total 0.2b remaining (63.6%)

Threshold costs 0.2b (63.6%)

Counts

274 → 1

Compiler

Compiled 100359 to 56200 computations (44% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

11×	`*-commutative_binary64`
9×	`+-commutative_binary64`
6×	`sub-neg_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	93
1	52	93
2	62	93
3	72	93
4	80	93
5	84	93
6	85	93
7	84	93

end10.0ms (0%)

Remove: (sort y z)
Compiler: Compiled 186 to 117 computations (37.1% saved)

sample3.8s (8.9%)

Algorithm

1×

intervals

Results

1.7s	4531×	body	1024	valid
662.0ms	8000×	pre	128	true
325.0ms	1368×	body	512	valid
207.0ms	213×	body	2048	valid
111.0ms	1360×	body	128	valid
90.0ms	528×	body	256	valid

Compiler

Compiled 643 to 318 computations (50.5% saved)

Iter	Nodes	Cost
0	10	14
1	16	14
2	27	14
3	47	14
4	76	14
5	129	14
6	210	14
7	264	14
8	305	14
9	341	14
10	352	14
11	338	14

Iter	Nodes	Cost
0	10	14
1	16	14
2	27	14
3	47	14
4	76	14
5	129	14
6	210	14
7	264	14
8	305	14
9	341	14
10	352	14
11	338	14

Details

analyze28.3s (66.6%)

sample119.0ms (0.3%)

simplify20.0ms (0%)

prune2.0ms (0%)

localize9.0ms (0%)

series180.0ms (0.4%)

rewrite21.0ms (0%)

simplify193.0ms (0.5%)

prune210.0ms (0.5%)

localize21.0ms (0%)

series953.0ms (2.2%)

rewrite22.0ms (0.1%)

simplify294.0ms (0.7%)

prune463.0ms (1.1%)

localize34.0ms (0.1%)

series388.0ms (0.9%)

rewrite24.0ms (0.1%)

simplify175.0ms (0.4%)

prune498.0ms (1.2%)

localize21.0ms (0%)

series769.0ms (1.8%)

rewrite20.0ms (0%)

simplify216.0ms (0.5%)

prune639.0ms (1.5%)

regimes5.1s (12%)

simplify5.0ms (0%)

end10.0ms (0%)

sample3.8s (8.9%)

Profiling

Iter	Nodes	Cost
0	10	14
1	16	14
2	27	14
3	47	14
4	76	14
5	129	14
6	210	14
7	264	14
8	305	14
9	341	14
10	352	14
11	338	14