Details

analyze276.0ms (1.9%)

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
49.9%	49.9%	0.1%	3
49.9%	49.9%	0.1%	4
49.9%	49.9%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
74.9%	25%	0.1%	8
87.4%	12.5%	0.1%	9
87.4%	12.5%	0.1%	10
87.4%	12.5%	0.1%	11
93.6%	6.2%	0.1%	12
93.6%	6.2%	0.1%	13
93.6%	6.2%	0.1%	14

Compiler

Compiled 27 to 21 computations (22.2% saved)

sample3.2s (21.7%)

Results

957.0ms	5555×	body	128	valid
938.0ms	887×	body	4096	valid
775.0ms	926×	body	2048	valid
312.0ms	501×	body	1024	valid
122.0ms	253×	body	512	valid
44.0ms	134×	body	256	valid

Compiler

Compiled 80 to 62 computations (22.5% saved)

simplify63.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

652×	`div-sub_binary64`
554×	`fma-neg_binary64`
550×	`hypot-def_binary64`
431×	`fma-def_binary64`
378×	`cancel-sign-sub-inv_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	36
1	44	25
2	96	25
3	264	25
4	706	25
5	2223	25
6	4175	25
7	4825	25
8	4983	25

prune5.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

15.6b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	15.8b	(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (PI.f64)))
	28.8b	(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))))) (PI.f64)))

Status

Error

Program

▶

15.8b

(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (PI.f64)))

28.8b

(*.f64 180 (/.f64 (atan.f64 (*.f64 (/.f64 1 B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))))) (PI.f64)))

Compiler

Compiled 132 to 91 computations (31.1% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(hypot.f64 B (-.f64 C A))
✓	0.0b	(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (PI.f64))
✓	0.0b	(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (PI.f64)))
✓	0.6b	(-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A)))

series191.0ms (1.3%)

Counts

4 → 144

Calls

4 calls:

67.0ms	(-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A)))
52.0ms	(hypot.f64 B (-.f64 C A))
41.0ms	(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (PI.f64)))
31.0ms	(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (PI.f64))

rewrite34.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`add-sqr-sqrt_binary64`
50×	`*-un-lft-identity_binary64`
37×	`add-cube-cbrt_binary64`
24×	`prod-diff_binary64`
19×	`times-frac_binary64`

Counts

4 → 127

Calls

4 calls:

10.0ms	(-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A)))
7.0ms	(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (PI.f64)))
4.0ms	(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (PI.f64))
0.0ms	(hypot.f64 B (-.f64 C A))

simplify192.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

711×	`fma-neg_binary64`
556×	`fma-def_binary64`
230×	`associate-l_binary64`
229×	`associate-r_binary64`
211×	`associate--l+_binary64`

Counts

271 → 324

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	544	9108
1	1511	7967
2	4895	7966
3	5498	7966

prune338.0ms (2.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	312	12	324
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	314	12	326

Error

7.1b

Counts

326 → 12

Alt Table

Status	Error	Program
	52.9b	(*.f64 180 (/.f64 (atan.f64 (/.f64 B B)) (PI.f64)))
▶	15.7b	(.f64 (.f64 180 (/.f64 1 (sqrt.f64 (PI.f64)))) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (sqrt.f64 (PI.f64))))
	54.0b	(.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 (fma.f64 (sqrt.f64 (-.f64 C A)) (sqrt.f64 (-.f64 C A)) (neg.f64 (.f64 (cbrt.f64 (hypot.f64 B (-.f64 C A))) (.f64 (cbrt.f64 (hypot.f64 B (-.f64 C A))) (cbrt.f64 (hypot.f64 B (-.f64 C A))))))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 B (-.f64 C A)))) (.f64 (cbrt.f64 (hypot.f64 B (-.f64 C A))) (cbrt.f64 (hypot.f64 B (-.f64 C A)))) (.f64 (cbrt.f64 (hypot.f64 B (-.f64 C A))) (.f64 (cbrt.f64 (hypot.f64 B (-.f64 C A))) (cbrt.f64 (hypot.f64 B (-.f64 C A))))))) B)) (PI.f64)))
	56.4b	(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (.f64 1/8 (/.f64 (pow.f64 B 4) (pow.f64 C 3))) (.f64 1/2 (+.f64 (/.f64 (.f64 B B) C) (+.f64 (/.f64 (.f64 A (.f64 A (.f64 B B))) (pow.f64 C 3)) (/.f64 (.f64 A (.f64 B B)) (.f64 C C)))))) B)) (PI.f64)))
	37.3b	(*.f64 180 (exp.f64 (-.f64 (log.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B))) (log.f64 (PI.f64)))))
	48.1b	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 -1/2 (/.f64 (pow.f64 B 2) C)) B)) (PI.f64)))
	21.9b	(.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 (fma.f64 1 (-.f64 C A) (neg.f64 (.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A)))) (sqrt.f64 (hypot.f64 B (-.f64 C A))) (*.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) B)) (PI.f64)))
	49.4b	(*.f64 180 (/.f64 (atan.f64 (/.f64 (neg.f64 B) B)) (PI.f64)))
	58.1b	(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (fma.f64 1/2 (/.f64 (.f64 (.f64 B B) (pow.f64 C 3)) (pow.f64 A 4)) (.f64 1/2 (+.f64 (+.f64 (/.f64 (.f64 (.f64 B B) C) (.f64 A A)) (/.f64 (.f64 B B) A)) (/.f64 (.f64 (.f64 B B) (.f64 C C)) (pow.f64 A 3))))) (fma.f64 1/8 (/.f64 (pow.f64 B 4) (pow.f64 A 3)) (.f64 3/8 (/.f64 (*.f64 C (pow.f64 B 4)) (pow.f64 A 4))))) B)) (PI.f64)))
	26.5b	(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (fma.f64 (.f64 A C) (sqrt.f64 (/.f64 1 (fma.f64 A A (*.f64 B B)))) C) (+.f64 A (hypot.f64 A B))) B)) (PI.f64)))
	37.7b	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 -1 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 A 2) (pow.f64 B 2))))) B)) (PI.f64)))
	47.4b	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 1/2 (/.f64 (pow.f64 B 2) A)) B)) (PI.f64)))

Compiler

Compiled 12606 to 5368 computations (57.4% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 180 (/.f64 1 (sqrt.f64 (PI.f64)))) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (sqrt.f64 (PI.f64))))
✓	0.6b	(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (sqrt.f64 (PI.f64)))
	0.6b	(-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A)))
✓	1.0b	(sqrt.f64 (PI.f64))

series82.0ms (0.5%)

Counts

3 → 72

Calls

3 calls:

43.0ms

(*.f64 (*.f64 180 (/.f64 1 (sqrt.f64 (PI.f64)))) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (sqrt.f64 (PI.f64))))

38.0ms

(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (sqrt.f64 (PI.f64)))

0.0ms

(sqrt.f64 (PI.f64))

rewrite54.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`add-exp-log_binary64`
36×	`times-frac_binary64`
33×	`add-sqr-sqrt_binary64`
32×	`*-un-lft-identity_binary64`
32×	`add-cube-cbrt_binary64`

Counts

3 → 112

Calls

3 calls:

12.0ms

(*.f64 (*.f64 180 (/.f64 1 (sqrt.f64 (PI.f64)))) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (sqrt.f64 (PI.f64))))

7.0ms

(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (sqrt.f64 (PI.f64)))

1.0ms

(sqrt.f64 (PI.f64))

simplify267.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

573×	`fma-neg_binary64`
448×	`associate-/l*_binary64`
376×	`div-sub_binary64`
355×	`fma-def_binary64`
334×	`*-commutative_binary64`

Counts

184 → 161

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	163	6017
1	359	5230
2	1209	5230
3	2539	5116
4	2984	5116
5	3861	5116
6	4585	5116
7	5197	5116

prune306.0ms (2.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	311	3	314
Fresh	2	9	11
Picked	0	1	1
Done	0	0	0
Total	313	13	326

Error

7.1b

Counts

326 → 13

Alt Table

Status	Error	Program
	52.9b	(*.f64 180 (/.f64 (atan.f64 (/.f64 B B)) (PI.f64)))
✓	15.7b	(.f64 (.f64 180 (/.f64 1 (sqrt.f64 (PI.f64)))) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (sqrt.f64 (PI.f64))))
	54.0b	(.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 (fma.f64 (sqrt.f64 (-.f64 C A)) (sqrt.f64 (-.f64 C A)) (neg.f64 (.f64 (cbrt.f64 (hypot.f64 B (-.f64 C A))) (.f64 (cbrt.f64 (hypot.f64 B (-.f64 C A))) (cbrt.f64 (hypot.f64 B (-.f64 C A))))))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 B (-.f64 C A)))) (.f64 (cbrt.f64 (hypot.f64 B (-.f64 C A))) (cbrt.f64 (hypot.f64 B (-.f64 C A)))) (.f64 (cbrt.f64 (hypot.f64 B (-.f64 C A))) (.f64 (cbrt.f64 (hypot.f64 B (-.f64 C A))) (cbrt.f64 (hypot.f64 B (-.f64 C A))))))) B)) (PI.f64)))
	56.4b	(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (.f64 1/8 (/.f64 (pow.f64 B 4) (pow.f64 C 3))) (.f64 1/2 (+.f64 (/.f64 (.f64 B B) C) (+.f64 (/.f64 (.f64 A (.f64 A (.f64 B B))) (pow.f64 C 3)) (/.f64 (.f64 A (.f64 B B)) (.f64 C C)))))) B)) (PI.f64)))
▶	21.9b	(.f64 (.f64 180 (/.f64 1 (sqrt.f64 (PI.f64)))) (/.f64 (atan.f64 (/.f64 (+.f64 (fma.f64 1 (-.f64 C A) (neg.f64 (.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A)))) (sqrt.f64 (hypot.f64 B (-.f64 C A))) (.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) B)) (sqrt.f64 (PI.f64))))
	49.4b	(*.f64 180 (/.f64 (atan.f64 (/.f64 (neg.f64 B) B)) (PI.f64)))
	37.3b	(*.f64 180 (exp.f64 (-.f64 (log.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B))) (log.f64 (PI.f64)))))
	48.1b	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 -1/2 (/.f64 (pow.f64 B 2) C)) B)) (PI.f64)))
	47.4b	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 1/2 (/.f64 (pow.f64 B 2) A)) B)) (PI.f64)))
	47.3b	(.f64 (.f64 180 (/.f64 1 (sqrt.f64 (PI.f64)))) (/.f64 (atan.f64 (/.f64 (.f64 1/2 (/.f64 (.f64 B B) A)) B)) (sqrt.f64 (PI.f64))))
	26.5b	(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (fma.f64 (.f64 A C) (sqrt.f64 (/.f64 1 (fma.f64 A A (*.f64 B B)))) C) (+.f64 A (hypot.f64 A B))) B)) (PI.f64)))
	37.7b	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 -1 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 A 2) (pow.f64 B 2))))) B)) (PI.f64)))
	58.1b	(.f64 (.f64 180 (/.f64 1 (sqrt.f64 (PI.f64)))) (/.f64 (atan.f64 (/.f64 (-.f64 (fma.f64 1/2 (/.f64 (.f64 (.f64 B B) (pow.f64 C 3)) (pow.f64 A 4)) (.f64 1/2 (+.f64 (+.f64 (/.f64 (.f64 (.f64 B B) C) (.f64 A A)) (/.f64 (.f64 B B) A)) (/.f64 (.f64 (.f64 B B) (.f64 C C)) (pow.f64 A 3))))) (fma.f64 1/8 (/.f64 (pow.f64 B 4) (pow.f64 A 3)) (.f64 3/8 (/.f64 (.f64 C (pow.f64 B 4)) (pow.f64 A 4))))) B)) (sqrt.f64 (PI.f64))))

Compiler

Compiled 12819 to 4632 computations (63.9% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(/.f64 (atan.f64 (/.f64 (+.f64 (fma.f64 1 (-.f64 C A) (neg.f64 (.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A)))) (sqrt.f64 (hypot.f64 B (-.f64 C A))) (.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) B)) (sqrt.f64 (PI.f64)))
	1.0b	(sqrt.f64 (PI.f64))
✓	10.4b	(fma.f64 1 (-.f64 C A) (neg.f64 (*.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A))))))
✓	62.4b	(fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A)))) (sqrt.f64 (hypot.f64 B (-.f64 C A))) (*.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))

series6.7s (45.1%)

Counts

3 → 90

Calls

3 calls:

6.6s

(fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A)))) (sqrt.f64 (hypot.f64 B (-.f64 C A))) (*.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))

59.0ms

(fma.f64 1 (-.f64 C A) (neg.f64 (*.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A))))))

57.0ms

(/.f64 (atan.f64 (/.f64 (+.f64 (fma.f64 1 (-.f64 C A) (neg.f64 (*.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A)))) (sqrt.f64 (hypot.f64 B (-.f64 C A))) (*.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) B)) (sqrt.f64 (PI.f64)))

rewrite14.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`times-frac_binary64`
18×	`*-un-lft-identity_binary64`
18×	`add-sqr-sqrt_binary64`
18×	`add-cube-cbrt_binary64`
12×	`sqrt-prod_binary64`

Counts

3 → 61

Calls

3 calls:

3.0ms

(/.f64 (atan.f64 (/.f64 (+.f64 (fma.f64 1 (-.f64 C A) (neg.f64 (*.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A)))) (sqrt.f64 (hypot.f64 B (-.f64 C A))) (*.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) B)) (sqrt.f64 (PI.f64)))

0.0ms

(fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A)))) (sqrt.f64 (hypot.f64 B (-.f64 C A))) (*.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))

0.0ms

(fma.f64 1 (-.f64 C A) (neg.f64 (*.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A))))))

simplify161.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

427×	`fma-neg_binary64`
401×	`fma-def_binary64`
257×	`+-commutative_binary64`
255×	`associate-+r+_binary64`
204×	`associate-r_binary64`

Counts

151 → 185

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	441	8303
1	1210	6447
2	4555	6444
3	4973	6444

prune283.0ms (1.9%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	214	3	217
Fresh	0	11	11
Picked	1	0	1
Done	0	1	1
Total	215	15	230

Error

7.1b

Counts

230 → 15

Alt Table

Status	Error	Program
	52.9b	(*.f64 180 (/.f64 (atan.f64 (/.f64 B B)) (PI.f64)))
✓	15.7b	(.f64 (.f64 180 (/.f64 1 (sqrt.f64 (PI.f64)))) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (sqrt.f64 (PI.f64))))
	54.0b	(.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 (fma.f64 (sqrt.f64 (-.f64 C A)) (sqrt.f64 (-.f64 C A)) (neg.f64 (.f64 (cbrt.f64 (hypot.f64 B (-.f64 C A))) (.f64 (cbrt.f64 (hypot.f64 B (-.f64 C A))) (cbrt.f64 (hypot.f64 B (-.f64 C A))))))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 B (-.f64 C A)))) (.f64 (cbrt.f64 (hypot.f64 B (-.f64 C A))) (cbrt.f64 (hypot.f64 B (-.f64 C A)))) (.f64 (cbrt.f64 (hypot.f64 B (-.f64 C A))) (.f64 (cbrt.f64 (hypot.f64 B (-.f64 C A))) (cbrt.f64 (hypot.f64 B (-.f64 C A))))))) B)) (PI.f64)))
	56.4b	(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (.f64 1/8 (/.f64 (pow.f64 B 4) (pow.f64 C 3))) (.f64 1/2 (+.f64 (/.f64 (.f64 B B) C) (+.f64 (/.f64 (.f64 A (.f64 A (.f64 B B))) (pow.f64 C 3)) (/.f64 (.f64 A (.f64 B B)) (.f64 C C)))))) B)) (PI.f64)))
	37.3b	(*.f64 180 (exp.f64 (-.f64 (log.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B))) (log.f64 (PI.f64)))))
	48.1b	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 -1/2 (/.f64 (pow.f64 B 2) C)) B)) (PI.f64)))
	47.4b	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 1/2 (/.f64 (pow.f64 B 2) A)) B)) (PI.f64)))
	47.3b	(.f64 (.f64 180 (/.f64 1 (sqrt.f64 (PI.f64)))) (/.f64 (atan.f64 (/.f64 (.f64 1/2 (/.f64 (.f64 B B) A)) B)) (sqrt.f64 (PI.f64))))
▶	22.1b	(.f64 (.f64 180 (/.f64 1 (sqrt.f64 (PI.f64)))) (log.f64 (exp.f64 (/.f64 (atan.f64 (/.f64 (+.f64 (fma.f64 1 (-.f64 C A) (neg.f64 (.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A)))) (sqrt.f64 (hypot.f64 B (-.f64 C A))) (.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) B)) (sqrt.f64 (PI.f64))))))
	49.4b	(*.f64 180 (/.f64 (atan.f64 (/.f64 (neg.f64 B) B)) (PI.f64)))
	26.5b	(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (fma.f64 (.f64 A C) (sqrt.f64 (/.f64 1 (fma.f64 A A (*.f64 B B)))) C) (+.f64 A (hypot.f64 A B))) B)) (PI.f64)))
	37.7b	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 -1 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 A 2) (pow.f64 B 2))))) B)) (PI.f64)))
	23.2b	(.f64 (.f64 180 (/.f64 1 (sqrt.f64 (PI.f64)))) (.f64 (/.f64 (.f64 (cbrt.f64 (atan.f64 (/.f64 (+.f64 (fma.f64 1 (-.f64 C A) (neg.f64 (.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A)))) (sqrt.f64 (hypot.f64 B (-.f64 C A))) (.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) B))) (cbrt.f64 (atan.f64 (/.f64 (+.f64 (fma.f64 1 (-.f64 C A) (neg.f64 (.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A)))) (sqrt.f64 (hypot.f64 B (-.f64 C A))) (.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) B)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 (cbrt.f64 (atan.f64 (/.f64 (+.f64 (fma.f64 1 (-.f64 C A) (neg.f64 (.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A)))) (sqrt.f64 (hypot.f64 B (-.f64 C A))) (.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) B))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
	22.5b	(.f64 (.f64 180 (/.f64 1 (sqrt.f64 (PI.f64)))) (/.f64 (atan.f64 (/.f64 (+.f64 (fma.f64 1 (-.f64 C A) (neg.f64 (*.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) (neg.f64 C)) B)) (sqrt.f64 (PI.f64))))
	58.1b	(.f64 (.f64 180 (/.f64 1 (sqrt.f64 (PI.f64)))) (/.f64 (atan.f64 (/.f64 (-.f64 (fma.f64 1/2 (/.f64 (.f64 (.f64 B B) (pow.f64 C 3)) (pow.f64 A 4)) (.f64 1/2 (+.f64 (+.f64 (/.f64 (.f64 (.f64 B B) C) (.f64 A A)) (/.f64 (.f64 B B) A)) (/.f64 (.f64 (.f64 B B) (.f64 C C)) (pow.f64 A 3))))) (fma.f64 1/8 (/.f64 (pow.f64 B 4) (pow.f64 A 3)) (.f64 3/8 (/.f64 (.f64 C (pow.f64 B 4)) (pow.f64 A 4))))) B)) (sqrt.f64 (PI.f64))))

Compiler

Compiled 17866 to 5809 computations (67.5% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(sqrt.f64 (PI.f64))
✓	1.4b	(log.f64 (exp.f64 (/.f64 (atan.f64 (/.f64 (+.f64 (fma.f64 1 (-.f64 C A) (neg.f64 (.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A)))) (sqrt.f64 (hypot.f64 B (-.f64 C A))) (.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) B)) (sqrt.f64 (PI.f64)))))
	10.4b	(fma.f64 1 (-.f64 C A) (neg.f64 (*.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A))))))
	62.4b	(fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A)))) (sqrt.f64 (hypot.f64 B (-.f64 C A))) (*.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))

series56.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

56.0ms

(log.f64 (exp.f64 (/.f64 (atan.f64 (/.f64 (+.f64 (fma.f64 1 (-.f64 C A) (neg.f64 (*.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A)))) (sqrt.f64 (hypot.f64 B (-.f64 C A))) (*.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) B)) (sqrt.f64 (PI.f64)))))

rewrite17.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`log-pow_binary64`
22×	`exp-prod_binary64`
18×	`times-frac_binary64`
15×	`*-un-lft-identity_binary64`
15×	`add-sqr-sqrt_binary64`

Counts

1 → 36

Calls

1 calls:

5.0ms

(log.f64 (exp.f64 (/.f64 (atan.f64 (/.f64 (+.f64 (fma.f64 1 (-.f64 C A) (neg.f64 (*.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A)))) (sqrt.f64 (hypot.f64 B (-.f64 C A))) (*.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) B)) (sqrt.f64 (PI.f64)))))

simplify133.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

617×	`unsub-neg_binary64`
589×	`div-sub_binary64`
357×	`times-frac_binary64`
327×	`sub-neg_binary64`
251×	`+-commutative_binary64`

Counts

72 → 60

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	102	3851
1	129	2892
2	227	2004
3	388	2004
4	833	2004
5	2205	2004
6	3707	2004
7	5090	2004

prune248.0ms (1.7%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	210	2	212
Fresh	2	11	13
Picked	1	0	1
Done	0	1	1
Total	213	14	227

Error

7.1b

Counts

227 → 14

Alt Table

Status	Error	Program
	52.9b	(*.f64 180 (/.f64 (atan.f64 (/.f64 B B)) (PI.f64)))
✓	15.7b	(.f64 (.f64 180 (/.f64 1 (sqrt.f64 (PI.f64)))) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (sqrt.f64 (PI.f64))))
	22.5b	(.f64 (.f64 180 (/.f64 1 (sqrt.f64 (PI.f64)))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan.f64 (/.f64 (+.f64 (fma.f64 1 (-.f64 C A) (neg.f64 (.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A)))) (sqrt.f64 (hypot.f64 B (-.f64 C A))) (.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) B)) (sqrt.f64 (PI.f64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan.f64 (/.f64 (+.f64 (fma.f64 1 (-.f64 C A) (neg.f64 (.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A)))) (sqrt.f64 (hypot.f64 B (-.f64 C A))) (.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) B)) (sqrt.f64 (PI.f64))))))))
	54.0b	(.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 (fma.f64 (sqrt.f64 (-.f64 C A)) (sqrt.f64 (-.f64 C A)) (neg.f64 (.f64 (cbrt.f64 (hypot.f64 B (-.f64 C A))) (.f64 (cbrt.f64 (hypot.f64 B (-.f64 C A))) (cbrt.f64 (hypot.f64 B (-.f64 C A))))))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 B (-.f64 C A)))) (.f64 (cbrt.f64 (hypot.f64 B (-.f64 C A))) (cbrt.f64 (hypot.f64 B (-.f64 C A)))) (.f64 (cbrt.f64 (hypot.f64 B (-.f64 C A))) (.f64 (cbrt.f64 (hypot.f64 B (-.f64 C A))) (cbrt.f64 (hypot.f64 B (-.f64 C A))))))) B)) (PI.f64)))
	56.4b	(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (.f64 1/8 (/.f64 (pow.f64 B 4) (pow.f64 C 3))) (.f64 1/2 (+.f64 (/.f64 (.f64 B B) C) (+.f64 (/.f64 (.f64 A (.f64 A (.f64 B B))) (pow.f64 C 3)) (/.f64 (.f64 A (.f64 B B)) (.f64 C C)))))) B)) (PI.f64)))
	22.6b	(.f64 (.f64 180 (/.f64 1 (sqrt.f64 (PI.f64)))) (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (atan.f64 (/.f64 (+.f64 (fma.f64 1 (-.f64 C A) (neg.f64 (.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A)))) (sqrt.f64 (hypot.f64 B (-.f64 C A))) (.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) B)) (sqrt.f64 (PI.f64))))) (cbrt.f64 (exp.f64 (/.f64 (atan.f64 (/.f64 (+.f64 (fma.f64 1 (-.f64 C A) (neg.f64 (.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A)))) (sqrt.f64 (hypot.f64 B (-.f64 C A))) (.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) B)) (sqrt.f64 (PI.f64))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan.f64 (/.f64 (+.f64 (fma.f64 1 (-.f64 C A) (neg.f64 (.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A)))) (sqrt.f64 (hypot.f64 B (-.f64 C A))) (*.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) B)) (sqrt.f64 (PI.f64))))))))
	47.4b	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 1/2 (/.f64 (pow.f64 B 2) A)) B)) (PI.f64)))
	47.3b	(.f64 (.f64 180 (/.f64 1 (sqrt.f64 (PI.f64)))) (/.f64 (atan.f64 (/.f64 (.f64 1/2 (/.f64 (.f64 B B) A)) B)) (sqrt.f64 (PI.f64))))
	49.4b	(*.f64 180 (/.f64 (atan.f64 (/.f64 (neg.f64 B) B)) (PI.f64)))
	48.1b	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 -1/2 (/.f64 (pow.f64 B 2) C)) B)) (PI.f64)))
	26.5b	(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (fma.f64 (.f64 A C) (sqrt.f64 (/.f64 1 (fma.f64 A A (*.f64 B B)))) C) (+.f64 A (hypot.f64 A B))) B)) (PI.f64)))
	37.7b	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 -1 (+.f64 A (sqrt.f64 (+.f64 (pow.f64 A 2) (pow.f64 B 2))))) B)) (PI.f64)))
	22.5b	(.f64 (.f64 180 (/.f64 1 (sqrt.f64 (PI.f64)))) (/.f64 (atan.f64 (/.f64 (+.f64 (fma.f64 1 (-.f64 C A) (neg.f64 (*.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) (neg.f64 C)) B)) (sqrt.f64 (PI.f64))))
	58.1b	(.f64 (.f64 180 (/.f64 1 (sqrt.f64 (PI.f64)))) (/.f64 (atan.f64 (/.f64 (-.f64 (fma.f64 1/2 (/.f64 (.f64 (.f64 B B) (pow.f64 C 3)) (pow.f64 A 4)) (.f64 1/2 (+.f64 (+.f64 (/.f64 (.f64 (.f64 B B) C) (.f64 A A)) (/.f64 (.f64 B B) A)) (/.f64 (.f64 (.f64 B B) (.f64 C C)) (pow.f64 A 3))))) (fma.f64 1/8 (/.f64 (pow.f64 B 4) (pow.f64 A 3)) (.f64 3/8 (/.f64 (.f64 C (pow.f64 B 4)) (pow.f64 A 4))))) B)) (sqrt.f64 (PI.f64))))

Compiler

Compiled 17537 to 5661 computations (67.7% saved)

regimes1.8s (11.8%)

Accuracy

Total 7.1b remaining (53.3%)

Threshold costs 0b (0%)

Counts

200 → 2

Compiler

Compiled 51009 to 26560 computations (47.9% saved)

bsearch102.0ms (0.7%)

Steps

Iters	Range		Point
9	-1.0494353104400879e+155	-1.2731922880892132e+147	-2.259626659035608e+150

Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	64
1	39	64
2	46	64
3	50	64
4	52	64
5	51	64

end285.0ms (1.9%)

Compiler: Compiled 793 to 377 computations (52.5% saved)

Details

analyze276.0ms (1.9%)

sample3.2s (21.7%)

simplify63.0ms (0.4%)

prune5.0ms (0%)

localize10.0ms (0.1%)

series191.0ms (1.3%)

rewrite34.0ms (0.2%)

simplify192.0ms (1.3%)

prune338.0ms (2.3%)

localize13.0ms (0.1%)

series82.0ms (0.5%)

rewrite54.0ms (0.4%)

simplify267.0ms (1.8%)

prune306.0ms (2.1%)

localize20.0ms (0.1%)

series6.7s (45.1%)

rewrite14.0ms (0.1%)

simplify161.0ms (1.1%)

prune283.0ms (1.9%)

localize23.0ms (0.2%)

series56.0ms (0.4%)

rewrite17.0ms (0.1%)

simplify133.0ms (0.9%)

prune248.0ms (1.7%)

regimes1.8s (11.8%)

bsearch102.0ms (0.7%)

simplify4.0ms (0%)

end285.0ms (1.9%)

Profiling