Details

analyze1.7s (13.6%)

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
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
31.2%	68.6%	0.1%	8
40.6%	59.3%	0.1%	9
40.6%	59.3%	0.1%	10
46%	53.8%	0.1%	11
52.7%	47.2%	0.1%	12
52.7%	44.6%	2.8%	13
55.9%	40.6%	3.5%	14

Compiler

Compiled 27 to 22 computations (18.5% saved)

sample235.0ms (1.9%)

Algorithm

1×

intervals

Results

104.0ms	175×	body	128	valid
27.0ms	39×	body	1024	valid
26.0ms	41×	body	1024	invalid
21.0ms	5×	body	4096	valid
10.0ms	21×	body	512	valid
9.0ms	21×	body	512	invalid
8.0ms	5×	body	2048	valid
6.0ms	41×	body	128	invalid
3.0ms	11×	body	256	valid
3.0ms	9×	body	256	invalid

Compiler

Compiled 56 to 46 computations (17.9% saved)

simplify57.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

416×	`sub-neg_binary64`
404×	`neg-mul-1_binary64`
392×	`neg-sub0_binary64`
387×	`unsub-neg_binary64`
358×	`*-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	37
1	37	37
2	83	37
3	216	37
4	757	37
5	1790	37
6	3573	37
7	4646	37
8	4936	37

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

28.6b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	28.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))

Compiler

Compiled 78 to 61 computations (21.8% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.3b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
9.6b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
20.8b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
20.9b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite155.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

28.2b

Rules

23×	`add-sqr-sqrt_binary64`
16×	`difference-of-squares_binary64`
13×	`unpow-prod-down_binary64`
11×	`*-un-lft-identity_binary64`
9×	`sqr-pow_binary64`

Counts

4 → 71

Calls

4 calls:

10.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
7.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
1.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
1.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 2233 to 1676 computations (24.9% saved)

series163.0ms (1.3%)

Error

26.2b

Counts

4 → 42

Calls

4 calls:

94.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
20.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
9.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
9.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 2655 to 2080 computations (21.7% saved)

simplify129.0ms (1%)

Algorithm

1×	egg-herbie

Rules

499×	`cancel-sign-sub-inv_binary64`
302×	`unswap-sqr_binary64`
267×	`associate-r_binary64`
245×	`associate-l_binary64`
224×	`distribute-rgt-in_binary64`

Counts

113 → 89

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	247	2780
1	602	2153
2	1955	2075
3	4564	2075
4	4901	2075
5	4943	2075

prune88.0ms (0.7%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	70	19	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	19	90

Error

26.8b

Counts

90 → 19

Alt Table

Status	Error	Program
	46.5b	(.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))) (sqrt.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	31.0b	(.f64 (.f64 angle (.f64 1/90 (.f64 PI.f64 (-.f64 (.f64 b b) (.f64 a a))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	28.9b	(.f64 (.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))) (cbrt.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	39.2b	(.f64 (.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) (.f64 b b))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	44.0b	(.f64 (/.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (pow.f64 b 4) (pow.f64 a 4)))) (+.f64 (pow.f64 b 2) (pow.f64 a 2))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	41.2b	(.f64 (.f64 -2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) (.f64 a a))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	28.9b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) (cbrt.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))))) (cbrt.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	32.5b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (-.f64 1 (.f64 1/64800 (.f64 (*.f64 angle angle) (pow.f64 PI.f64 2)))))
▶	28.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))) 3)))
	51.1b	(.f64 (.f64 (.f64 2 (/.f64 (-.f64 (pow.f64 b 6) (pow.f64 a 6)) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 (.f64 a a) (.f64 b b)))))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	39.3b	(.f64 (.f64 (.f64 2 (.f64 b b)) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	28.8b	(.f64 (.f64 (.f64 2 (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a))) (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a)))) (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a))))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	32.8b	(.f64 (+.f64 (.f64 angle (.f64 1/90 (.f64 PI.f64 (.f64 b b)))) (+.f64 (.f64 (.f64 (.f64 (pow.f64 angle 3) 1/17496000) (pow.f64 PI.f64 3)) (-.f64 (.f64 a a) (.f64 b b))) (.f64 (.f64 angle (.f64 PI.f64 (.f64 a a))) -1/90))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	43.6b	(.f64 (.f64 (.f64 2 (exp.f64 (log.f64 (-.f64 (.f64 b b) (.f64 a a))))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	52.8b	(.f64 (/.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (pow.f64 b 6) (pow.f64 a 6)))) (+.f64 (.f64 (pow.f64 b 2) (pow.f64 b 2)) (+.f64 (.f64 (pow.f64 a 2) (pow.f64 a 2)) (.f64 (pow.f64 b 2) (pow.f64 a 2))))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	42.1b	(.f64 (.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) (sqrt.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	42.3b	(.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))) 3)) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	52.4b	(.f64 (log.f64 (pow.f64 (exp.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	42.9b	(.f64 (exp.f64 (log.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))

Compiler

Compiled 2667 to 1767 computations (33.7% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.3b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
9.6b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
20.8b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
20.9b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite186.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

26.8b

Rules

23×	`add-sqr-sqrt_binary64`
16×	`difference-of-squares_binary64`
13×	`unpow-prod-down_binary64`
11×	`*-un-lft-identity_binary64`
9×	`sqr-pow_binary64`

Counts

4 → 71

Calls

4 calls:

12.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
7.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
1.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
1.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 2437 to 1880 computations (22.9% saved)

series161.0ms (1.3%)

Error

26.1b

Counts

4 → 42

Calls

4 calls:

73.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
30.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
11.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
9.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 2898 to 2323 computations (19.8% saved)

simplify126.0ms (1%)

Algorithm

1×	egg-herbie

Rules

499×	`cancel-sign-sub-inv_binary64`
302×	`unswap-sqr_binary64`
267×	`associate-r_binary64`
245×	`associate-l_binary64`
224×	`distribute-rgt-in_binary64`

Counts

113 → 89

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	247	2780
1	602	2153
2	1955	2075
3	4564	2075
4	4901	2075
5	4943	2075

prune98.0ms (0.8%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	80	9	89
Fresh	4	14	18
Picked	1	0	1
Done	0	0	0
Total	85	23	108

Error

26.8b

Counts

108 → 23

Alt Table

Status	Error	Program
	46.5b	(.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))) (sqrt.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	31.0b	(.f64 (.f64 angle (.f64 1/90 (.f64 PI.f64 (-.f64 (.f64 b b) (.f64 a a))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	28.9b	(.f64 (.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))) (cbrt.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	39.2b	(.f64 (.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) (.f64 b b))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	42.1b	(.f64 (.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) (sqrt.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))) 3)))
	52.4b	(.f64 (log.f64 (pow.f64 (exp.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) (cbrt.f64 (pow.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))) 3)))
	52.8b	(.f64 (/.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (pow.f64 b 6) (pow.f64 a 6)))) (+.f64 (.f64 (pow.f64 b 2) (pow.f64 b 2)) (+.f64 (.f64 (pow.f64 a 2) (pow.f64 a 2)) (.f64 (pow.f64 b 2) (pow.f64 a 2))))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	44.0b	(.f64 (/.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (pow.f64 b 4) (pow.f64 a 4)))) (+.f64 (pow.f64 b 2) (pow.f64 a 2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))) 3)))
	31.0b	(.f64 (.f64 angle (.f64 1/90 (.f64 PI.f64 (-.f64 (.f64 b b) (.f64 a a))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))) 3)))
	28.9b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) (cbrt.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))))) (cbrt.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	32.5b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (-.f64 1 (.f64 1/64800 (.f64 (*.f64 angle angle) (pow.f64 PI.f64 2)))))
	42.3b	(.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))) 3)) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	43.6b	(.f64 (.f64 (.f64 2 (exp.f64 (log.f64 (-.f64 (.f64 b b) (.f64 a a))))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))) 3)))
	42.9b	(.f64 (exp.f64 (log.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))) 3)))
▶	28.6b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))) 3)) 3)))
	41.1b	(.f64 (.f64 (.f64 2 (neg.f64 (.f64 a a))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (pow.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))) 3)))
	39.3b	(.f64 (.f64 (.f64 2 (.f64 b b)) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	28.8b	(.f64 (.f64 (.f64 2 (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a))) (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a)))) (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a))))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	32.8b	(.f64 (+.f64 (.f64 angle (.f64 1/90 (.f64 PI.f64 (.f64 b b)))) (+.f64 (.f64 (.f64 (.f64 (pow.f64 angle 3) 1/17496000) (pow.f64 PI.f64 3)) (-.f64 (.f64 a a) (.f64 b b))) (.f64 (.f64 angle (.f64 PI.f64 (.f64 a a))) -1/90))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	51.1b	(.f64 (.f64 (.f64 2 (/.f64 (-.f64 (pow.f64 b 6) (pow.f64 a 6)) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 (.f64 a a) (.f64 b b)))))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (pow.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))) 3)))
	41.2b	(.f64 (.f64 -2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) (.f64 a a))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	52.4b	(.f64 (log.f64 (pow.f64 (exp.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	42.9b	(.f64 (exp.f64 (log.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))

Compiler

Compiled 3045 to 2093 computations (31.3% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.3b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
9.6b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
20.8b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
20.9b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite162.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

26.8b

Rules

23×	`add-sqr-sqrt_binary64`
16×	`difference-of-squares_binary64`
13×	`unpow-prod-down_binary64`
11×	`*-un-lft-identity_binary64`
9×	`sqr-pow_binary64`

Counts

4 → 71

Calls

4 calls:

10.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
7.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
1.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
1.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 2641 to 2084 computations (21.1% saved)

series164.0ms (1.3%)

Error

26.1b

Counts

4 → 42

Calls

4 calls:

77.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
23.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
11.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
10.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 3141 to 2566 computations (18.3% saved)

simplify133.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

499×	`cancel-sign-sub-inv_binary64`
302×	`unswap-sqr_binary64`
267×	`associate-r_binary64`
245×	`associate-l_binary64`
224×	`distribute-rgt-in_binary64`

Counts

113 → 89

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	247	2780
1	602	2153
2	1955	2075
3	4564	2075
4	4901	2075
5	4943	2075

prune111.0ms (0.9%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	84	5	89
Fresh	3	19	22
Picked	1	0	1
Done	0	0	0
Total	88	24	112

Error

26.8b

Counts

112 → 24

Alt Table

Status	Error	Program
	46.5b	(.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))) (sqrt.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	31.0b	(.f64 (.f64 angle (.f64 1/90 (.f64 PI.f64 (-.f64 (.f64 b b) (.f64 a a))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	28.9b	(.f64 (.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))) (cbrt.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	39.2b	(.f64 (.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) (.f64 b b))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	42.1b	(.f64 (.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) (sqrt.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))) 3)))
	52.4b	(.f64 (log.f64 (pow.f64 (exp.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) (cbrt.f64 (pow.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))) 3)))
	52.8b	(.f64 (/.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (pow.f64 b 6) (pow.f64 a 6)))) (+.f64 (.f64 (pow.f64 b 2) (pow.f64 b 2)) (+.f64 (.f64 (pow.f64 a 2) (pow.f64 a 2)) (.f64 (pow.f64 b 2) (pow.f64 a 2))))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	44.0b	(.f64 (/.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (pow.f64 b 4) (pow.f64 a 4)))) (+.f64 (pow.f64 b 2) (pow.f64 a 2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))) 3)))
	31.0b	(.f64 (.f64 angle (.f64 1/90 (.f64 PI.f64 (-.f64 (.f64 b b) (.f64 a a))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))) 3)))
	28.9b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) (cbrt.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))))) (cbrt.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	32.5b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (-.f64 1 (.f64 1/64800 (.f64 (*.f64 angle angle) (pow.f64 PI.f64 2)))))
	42.3b	(.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))) 3)) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	42.9b	(.f64 (exp.f64 (log.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))) 3)))
	52.4b	(.f64 (log.f64 (pow.f64 (exp.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	28.9b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) (cbrt.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))))) (cbrt.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))) 3)) 3)))
	42.9b	(.f64 (exp.f64 (log.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	43.6b	(.f64 (.f64 (.f64 2 (exp.f64 (log.f64 (-.f64 (.f64 b b) (.f64 a a))))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))) 3)) 3)))
	41.1b	(.f64 (.f64 (.f64 2 (neg.f64 (.f64 a a))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (pow.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))) 3)))
	44.3b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cbrt.f64 (pow.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) 3))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))) 3)) 3)))
	39.3b	(.f64 (.f64 (.f64 2 (.f64 b b)) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
▶	28.8b	(.f64 (.f64 (.f64 2 (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a))) (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a)))) (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a))))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	32.8b	(.f64 (+.f64 (.f64 angle (.f64 1/90 (.f64 PI.f64 (.f64 b b)))) (+.f64 (.f64 (.f64 (.f64 (pow.f64 angle 3) 1/17496000) (pow.f64 PI.f64 3)) (-.f64 (.f64 a a) (.f64 b b))) (.f64 (.f64 angle (.f64 PI.f64 (.f64 a a))) -1/90))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	51.1b	(.f64 (.f64 (.f64 2 (/.f64 (-.f64 (pow.f64 b 6) (pow.f64 a 6)) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 (.f64 a a) (.f64 b b)))))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))) 3)) 3)))
	41.3b	(.f64 (.f64 -2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) (.f64 a a))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))) 3)) 3)))

Compiler

Compiled 3333 to 2331 computations (30.1% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

16.1b	(cbrt.f64 (-.f64 (.f64 b b) (.f64 a a)))
16.1b	(cbrt.f64 (-.f64 (.f64 b b) (.f64 a a)))
20.8b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
20.9b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite74.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

26.8b

Rules

8×	`cbrt-prod_binary64`
6×	`*-un-lft-identity_binary64`
6×	`add-sqr-sqrt_binary64`
6×	`add-cube-cbrt_binary64`
4×	`cbrt-div_binary64`

Counts

4 → 42

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 a a)))
3.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 a a)))
1.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
1.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 2147 to 711 computations (66.9% saved)

series103.0ms (0.8%)

Error

26.1b

Counts

4 → 30

Calls

4 calls:

29.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 a a)))
29.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 a a)))
11.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
8.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 3481 to 2037 computations (41.5% saved)

simplify69.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

737×	`distribute-rgt-neg-in_binary64`
724×	`distribute-lft-neg-in_binary64`
558×	`associate-r_binary64`
530×	`associate-l_binary64`
189×	`cancel-sign-sub-inv_binary64`

Counts

72 → 35

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	135	1324
1	335	1258
2	855	1256
3	3143	1244
4	5062	1244

prune66.0ms (0.5%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	31	4	35
Fresh	2	21	23
Picked	1	0	1
Done	0	0	0
Total	34	25	59

Error

26.7b

Counts

59 → 25

Alt Table

Status	Error	Program
	46.5b	(.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))) (sqrt.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	31.0b	(.f64 (.f64 angle (.f64 1/90 (.f64 PI.f64 (-.f64 (.f64 b b) (.f64 a a))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	28.9b	(.f64 (.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))) (cbrt.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	39.2b	(.f64 (.f64 2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) (.f64 b b))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	52.8b	(.f64 (/.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (pow.f64 b 6) (pow.f64 a 6)))) (+.f64 (.f64 (pow.f64 b 2) (pow.f64 b 2)) (+.f64 (.f64 (pow.f64 a 2) (pow.f64 a 2)) (.f64 (pow.f64 b 2) (pow.f64 a 2))))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	44.0b	(.f64 (/.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (pow.f64 b 4) (pow.f64 a 4)))) (+.f64 (pow.f64 b 2) (pow.f64 a 2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))) 3)))
	31.0b	(.f64 (.f64 angle (.f64 1/90 (.f64 PI.f64 (-.f64 (.f64 b b) (.f64 a a))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))) 3)))
	28.9b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) (cbrt.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))))) (cbrt.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	32.5b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (-.f64 1 (.f64 1/64800 (.f64 (*.f64 angle angle) (pow.f64 PI.f64 2)))))
	42.3b	(.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))) 3)) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	42.9b	(.f64 (exp.f64 (log.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))) 3)))
	52.4b	(.f64 (log.f64 (pow.f64 (exp.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	28.9b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) (cbrt.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))))) (cbrt.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))) 3)) 3)))
	42.9b	(.f64 (exp.f64 (log.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a)))))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	43.6b	(.f64 (.f64 (.f64 2 (exp.f64 (log.f64 (-.f64 (.f64 b b) (.f64 a a))))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))) 3)) 3)))
	41.1b	(.f64 (.f64 (.f64 2 (neg.f64 (.f64 a a))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (pow.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))) 3)))
	44.3b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (cbrt.f64 (pow.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) 3))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))) 3)) 3)))
	32.8b	(.f64 (+.f64 (.f64 angle (.f64 1/90 (.f64 PI.f64 (.f64 b b)))) (+.f64 (.f64 (.f64 (.f64 (pow.f64 angle 3) 1/17496000) (pow.f64 PI.f64 3)) (-.f64 (.f64 a a) (.f64 b b))) (.f64 (.f64 angle (.f64 PI.f64 (.f64 a a))) -1/90))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	51.1b	(.f64 (.f64 (.f64 2 (/.f64 (-.f64 (pow.f64 b 6) (pow.f64 a 6)) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 (.f64 a a) (.f64 b b)))))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))) 3)) 3)))
	52.4b	(.f64 (log.f64 (pow.f64 (exp.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) (cbrt.f64 (pow.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))) 3)))
	41.6b	(.f64 (.f64 (.f64 2 (.f64 (.f64 (cbrt.f64 (.f64 -1 (pow.f64 (/.f64 -1 a) -2))) (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a)))) (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a))))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	44.4b	(.f64 (.f64 (.f64 2 (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a))) (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a)))) (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a))))) (cbrt.f64 (pow.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) 3))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
	28.8b	(.f64 (.f64 (.f64 2 (.f64 (.f64 (.f64 (cbrt.f64 (+.f64 a b)) (cbrt.f64 (-.f64 b a))) (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a)))) (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a))))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	40.0b	(.f64 (.f64 (.f64 2 (.f64 (.f64 (cbrt.f64 (.f64 b b)) (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a)))) (cbrt.f64 (-.f64 (.f64 b b) (.f64 a a))))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
	41.3b	(.f64 (.f64 -2 (.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) (.f64 a a))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))) 3)) 3)))

Compiler

Compiled 2116 to 1166 computations (44.9% saved)

regimes3.2s (25.7%)

Accuracy

Total 1.7b remaining (5.4%)

Threshold costs 0b (0%)

Compiler

Compiled 81580 to 60236 computations (26.2% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	37
1	28	37
2	33	37
3	35	37
4	36	37
5	36	37

end1.0ms (0%)

Compiler: Compiled 26 to 21 computations (19.2% saved)

sample5.2s (41.7%)

Algorithm

1×

intervals

Results

998.0ms	1487×	body	1024	valid
876.0ms	1291×	body	1024	invalid
794.0ms	5137×	body	128	valid
364.0ms	770×	body	512	valid
305.0ms	663×	body	512	invalid
292.0ms	68×	body	4096	valid
194.0ms	1295×	body	128	invalid
191.0ms	162×	body	2048	valid
118.0ms	376×	body	256	valid
101.0ms	324×	body	256	invalid

Compiler

Compiled 1000 to 716 computations (28.4% saved)

Details

analyze1.7s (13.6%)

sample235.0ms (1.9%)

simplify57.0ms (0.5%)

prune3.0ms (0%)

localize16.0ms (0.1%)

rewrite155.0ms (1.2%)

series163.0ms (1.3%)

simplify129.0ms (1%)

prune88.0ms (0.7%)

localize18.0ms (0.1%)

rewrite186.0ms (1.5%)

series161.0ms (1.3%)

simplify126.0ms (1%)

prune98.0ms (0.8%)

localize20.0ms (0.2%)

rewrite162.0ms (1.3%)

series164.0ms (1.3%)

simplify133.0ms (1.1%)

prune111.0ms (0.9%)

localize21.0ms (0.2%)

rewrite74.0ms (0.6%)

series103.0ms (0.8%)

simplify69.0ms (0.6%)

prune66.0ms (0.5%)

regimes3.2s (25.7%)

simplify4.0ms (0%)

end1.0ms (0%)

sample5.2s (41.7%)

Profiling