Details

analyze297.0ms (6.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
37.4%	62.4%	0.1%	6
49.9%	49.9%	0.1%	7
62.4%	37.4%	0.1%	8
62.4%	37.4%	0.1%	9
71.8%	28.1%	0.1%	10
79.6%	20.3%	0.1%	11
79.6%	20.3%	0.1%	12
85%	14.8%	0.1%	13
89.3%	10.5%	0.1%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample43.0ms (0.9%)

Algorithm

1×

intervals

Results

16.0ms	60×	body	1024	valid
10.0ms	154×	body	128	valid
5.0ms	27×	body	512	valid
2.0ms	15×	body	256	valid

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify15.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

36×	`cancel-sign-sub-inv_binary64`
23×	`distribute-rgt-neg-in_binary64`
23×	`sub-neg_binary64`
19×	`unsub-neg_binary64`
17×	`neg-mul-1_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	16	14
2	26	14
3	38	14
4	55	14
5	79	14
6	114	14
7	163	14
8	190	14
9	192	14
10	190	14
11	159	14

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

0.1b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	0.1b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Compiler

Compiled 24 to 16 computations (33.3% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
0.1b	(*.f64 x (cos.f64 y))
0.1b	(*.f64 z (sin.f64 y))

rewrite63.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

3 → 48

Calls

3 calls:

4.0ms	(*.f64 z (sin.f64 y))
4.0ms	(*.f64 x (cos.f64 y))
3.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Compiler

Compiled 700 to 167 computations (76.1% saved)

series90.0ms (1.9%)

Error

0.1b

Counts

3 → 34

Calls

3 calls:

44.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
17.0ms	(*.f64 z (sin.f64 y))
16.0ms	(*.f64 x (cos.f64 y))

Compiler

Compiled 846 to 542 computations (35.9% saved)

simplify98.0ms (2%)

Algorithm

1×	egg-herbie

Rules

483×	`distribute-rgt-neg-in_binary64`
395×	`cancel-sign-sub-inv_binary64`
388×	`times-frac_binary64`
349×	`distribute-lft-neg-in_binary64`
304×	`neg-mul-1_binary64`

Counts

82 → 36

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	117	980
1	279	951
2	798	933
3	1472	927
4	2934	927
5	4265	927
6	4959	927

prune40.0ms (0.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	27	9	36
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	28	9	37

Error

0.1b

Counts

37 → 9

Alt Table

Status	Error	Program
	15.8b	(-.f64 (.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 3)))
	1.3b	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))) (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))))
	28.3b	(/.f64 (-.f64 (.f64 (.f64 (cos.f64 y) x) (.f64 (cos.f64 y) x)) (.f64 (.f64 z (sin.f64 y)) (.f64 z (sin.f64 y)))) (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)))
	30.6b	(-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 z (sin.f64 y)))
	38.4b	(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (+.f64 (.f64 (.f64 z (sin.f64 y)) (.f64 z (sin.f64 y))) (.f64 (.f64 (cos.f64 y) x) (+.f64 (.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))
	1.0b	(-.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cos.f64 y) (cbrt.f64 x))) (.f64 z (sin.f64 y)))
	31.5b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (sqrt.f64 z) (*.f64 (sin.f64 y) (sqrt.f64 z))))
	30.6b	(-.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (sqrt.f64 (.f64 (cos.f64 y) x))) (.f64 z (sin.f64 y)))
▶	0.5b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (.f64 (sin.f64 y) (cbrt.f64 z))))

Compiler

Compiled 884 to 351 computations (60.3% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.5b	(cbrt.f64 z)
0.5b	(cbrt.f64 z)
0.5b	(cbrt.f64 z)

rewrite100.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

Compiler

Compiled 1422 to 304 computations (78.6% saved)

series73.0ms (1.5%)

Error

0.1b

Counts

4 → 12

Calls

4 calls:

18.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
17.0ms	(cbrt.f64 z)
15.0ms	(cbrt.f64 z)
15.0ms	(cbrt.f64 z)

Compiler

Compiled 671 to 429 computations (36.1% saved)

simplify93.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

735×	`log-prod_binary64`
577×	`distribute-rgt-in_binary64`
538×	`distribute-lft-in_binary64`
525×	`unswap-sqr_binary64`
287×	`associate-l_binary64`

Counts

85 → 64

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	54	624
1	94	576
2	292	556
3	763	542
4	1759	418
5	4280	418
6	4543	418
7	4810	418

prune45.0ms (0.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	63	10	73

Error

0.1b

Counts

73 → 10

Alt Table

Status	Error	Program
	15.8b	(-.f64 (.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 3)))
	1.3b	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))) (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))))
	28.3b	(/.f64 (-.f64 (.f64 (.f64 (cos.f64 y) x) (.f64 (cos.f64 y) x)) (.f64 (.f64 z (sin.f64 y)) (.f64 z (sin.f64 y)))) (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)))
	30.6b	(-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 z (sin.f64 y)))
	31.5b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 (sqrt.f64 (cbrt.f64 z)) (sqrt.f64 z)) (.f64 (sin.f64 y) (cbrt.f64 z))))
	38.4b	(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (+.f64 (.f64 (.f64 z (sin.f64 y)) (.f64 z (sin.f64 y))) (.f64 (.f64 (cos.f64 y) x) (+.f64 (.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))
▶	1.0b	(-.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cos.f64 y) (cbrt.f64 x))) (.f64 z (sin.f64 y)))
	31.5b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (sqrt.f64 z) (*.f64 (sin.f64 y) (sqrt.f64 z))))
	30.6b	(-.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (sqrt.f64 (.f64 (cos.f64 y) x))) (.f64 z (sin.f64 y)))
✓	0.5b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (.f64 (sin.f64 y) (cbrt.f64 z))))

Compiler

Compiled 1007 to 405 computations (59.8% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)

rewrite89.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1422 to 304 computations (78.6% saved)

series71.0ms (1.5%)

Error

0.1b

Counts

4 → 12

Calls

4 calls:

18.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
17.0ms	(cbrt.f64 x)
15.0ms	(cbrt.f64 x)
15.0ms	(cbrt.f64 x)

Compiler

Compiled 671 to 429 computations (36.1% saved)

simplify97.0ms (2%)

Algorithm

1×	egg-herbie

Rules

735×	`log-prod_binary64`
577×	`distribute-rgt-in_binary64`
538×	`distribute-lft-in_binary64`
525×	`unswap-sqr_binary64`
287×	`associate-l_binary64`

Counts

85 → 64

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	54	624
1	94	576
2	292	556
3	763	542
4	1759	418
5	4280	418
6	4543	418
7	4810	418

prune39.0ms (0.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	62	12	74

Error

0.0b

Counts

74 → 12

Alt Table

Status	Error	Program
	15.8b	(-.f64 (.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 3)))
▶	1.3b	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))) (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))))
	30.7b	(-.f64 (.f64 (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 x)) (.f64 (cos.f64 y) (cbrt.f64 x))) (.f64 z (sin.f64 y)))
	28.3b	(/.f64 (-.f64 (.f64 (.f64 (cos.f64 y) x) (.f64 (cos.f64 y) x)) (.f64 (.f64 z (sin.f64 y)) (.f64 z (sin.f64 y)))) (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)))
	30.6b	(-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 z (sin.f64 y)))
	31.5b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 (sqrt.f64 (cbrt.f64 z)) (sqrt.f64 z)) (.f64 (sin.f64 y) (cbrt.f64 z))))
	1.4b	(-.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)) (.f64 (cos.f64 y) (cbrt.f64 x))) (*.f64 z (sin.f64 y)))
	38.4b	(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (+.f64 (.f64 (.f64 z (sin.f64 y)) (.f64 z (sin.f64 y))) (.f64 (.f64 (cos.f64 y) x) (+.f64 (.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))
✓	1.0b	(-.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cos.f64 y) (cbrt.f64 x))) (.f64 z (sin.f64 y)))
	31.5b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (sqrt.f64 z) (*.f64 (sin.f64 y) (sqrt.f64 z))))
	30.6b	(-.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (sqrt.f64 (.f64 (cos.f64 y) x))) (.f64 z (sin.f64 y)))
✓	0.5b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (.f64 (sin.f64 y) (cbrt.f64 z))))

Compiler

Compiled 1080 to 452 computations (58.1% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
0.6b	(cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
0.6b	(cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
0.6b	(cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))

rewrite94.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64`

Counts

4 → 87

Calls

4 calls:

11.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
4.0ms	(cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
3.0ms	(cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
3.0ms	(cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))

Compiler

Compiled 3918 to 331 computations (91.6% saved)

series525.0ms (10.8%)

Error

0.0b

Counts

4 → 76

Calls

4 calls:

126.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
110.0ms	(cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
108.0ms	(cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
106.0ms	(cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))

Compiler

Compiled 10095 to 5410 computations (46.4% saved)

simplify165.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

468×	`cancel-sign-sub-inv_binary64`
342×	`times-frac_binary64`
302×	`associate-r_binary64`
299×	`unswap-sqr_binary64`
229×	`associate-l_binary64`

Counts

163 → 150

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	266	6635
1	805	6173
2	3521	5993
3	5092	5993

prune119.0ms (2.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	145	5	150
Fresh	2	7	9
Picked	1	0	1
Done	1	1	2
Total	149	13	162

Error

0.0b

Counts

162 → 13

Alt Table

Status	Error	Program
	34.1b	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))) (/.f64 (cbrt.f64 (-.f64 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2)) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)))) (cbrt.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))
	1.8b	(.f64 (.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) (cbrt.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))) (cbrt.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))) (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))) (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))))
	15.8b	(-.f64 (.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 3)))
	30.6b	(.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))) (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))) (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
	32.2b	(.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 2/3)) (cbrt.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))) (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))) (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
	38.9b	(.f64 (.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))) (cbrt.f64 (+.f64 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) 2)) (.f64 z (.f64 (sin.f64 y) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))))) (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))) (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))))
	28.3b	(/.f64 (-.f64 (.f64 (.f64 (cos.f64 y) x) (.f64 (cos.f64 y) x)) (.f64 (.f64 z (sin.f64 y)) (.f64 z (sin.f64 y)))) (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)))
	30.6b	(-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 z (sin.f64 y)))
	31.5b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 (sqrt.f64 (cbrt.f64 z)) (sqrt.f64 z)) (.f64 (sin.f64 y) (cbrt.f64 z))))
	1.4b	(-.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)) (.f64 (cos.f64 y) (cbrt.f64 x))) (*.f64 z (sin.f64 y)))
	38.4b	(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (+.f64 (.f64 (.f64 z (sin.f64 y)) (.f64 z (sin.f64 y))) (.f64 (.f64 (cos.f64 y) x) (+.f64 (.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))
	30.6b	(-.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (sqrt.f64 (.f64 (cos.f64 y) x))) (.f64 z (sin.f64 y)))
	0.5b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (.f64 (sin.f64 y) (cbrt.f64 z))))

Compiler

Compiled 6292 to 1595 computations (74.7% saved)

regimes757.0ms (15.6%)

Accuracy

Total 0.1b remaining (57.8%)

Threshold costs 0.1b (57.8%)

Compiler

Compiled 13696 to 6800 computations (50.4% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	19	14
2	27	14
3	33	14
4	36	14
5	37	14
6	37	14

end1.0ms (0%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

sample1.9s (39%)

Algorithm

1×

intervals

Results

548.0ms	1990×	body	1024	valid
301.0ms	4496×	body	128	valid
197.0ms	1009×	body	512	valid
64.0ms	499×	body	256	valid
3.0ms	6×	body	2048	valid

Compiler

Compiled 491 to 225 computations (54.2% saved)

Iter	Nodes	Cost
0	9	14
1	16	14
2	26	14
3	38	14
4	55	14
5	79	14
6	114	14
7	163	14
8	190	14
9	192	14
10	190	14
11	159	14

Iter	Nodes	Cost
0	9	14
1	16	14
2	26	14
3	38	14
4	55	14
5	79	14
6	114	14
7	163	14
8	190	14
9	192	14
10	190	14
11	159	14

Details

analyze297.0ms (6.1%)

sample43.0ms (0.9%)

simplify15.0ms (0.3%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite63.0ms (1.3%)

series90.0ms (1.9%)

simplify98.0ms (2%)

prune40.0ms (0.8%)

localize12.0ms (0.2%)

rewrite100.0ms (2.1%)

series73.0ms (1.5%)

simplify93.0ms (1.9%)

prune45.0ms (0.9%)

localize12.0ms (0.2%)

rewrite89.0ms (1.8%)

series71.0ms (1.5%)

simplify97.0ms (2%)

prune39.0ms (0.8%)

localize14.0ms (0.3%)

rewrite94.0ms (1.9%)

series525.0ms (10.8%)

simplify165.0ms (3.4%)

prune119.0ms (2.4%)

regimes757.0ms (15.6%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample1.9s (39%)

Profiling

Iter	Nodes	Cost
0	9	14
1	16	14
2	26	14
3	38	14
4	55	14
5	79	14
6	114	14
7	163	14
8	190	14
9	192	14
10	190	14
11	159	14