Details

analyze1.1s (9.1%)

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
0%	99.9%	0.1%	6
18.7%	81.2%	0.1%	7
32.8%	67.1%	0.1%	8
38.2%	61.7%	0.1%	9
41%	58.9%	0.1%	10
43.9%	56%	0.1%	11
45.4%	54.5%	0.1%	12
46.9%	53%	0.1%	13
47.6%	52.3%	0.1%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample5.9s (48.3%)

Results

1.9s	1142×	body	2048	valid
1.5s	1341×	body	1024	valid
1.3s	4439×	body	128	valid
742.0ms	880×	body	512	valid
283.0ms	452×	body	256	valid
10.0ms	2×	body	4096	valid

Compiler

Compiled 47 to 35 computations (25.5% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`associate-/r*_binary64`
1×	`*-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	12	20
2	14	20
3	14	20

prune4.0ms (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

39.3b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	39.3b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))

Compiler

Compiled 45 to 33 computations (26.7% saved)

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	7.4b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
✓	31.8b	(sin.f64 (/.f64 x (*.f64 y 2)))
✓	32.1b	(tan.f64 (/.f64 x (*.f64 y 2)))

series178.0ms (1.5%)

Counts

3 → 72

Calls

3 calls:

107.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
50.0ms	(tan.f64 (/.f64 x (*.f64 y 2)))
20.0ms	(sin.f64 (/.f64 x (*.f64 y 2)))

rewrite100.0ms (0.8%)

Algorithm

2×	batch-egg-rewrite

Rules

621×	`prod-diff_binary64`
522×	`log-prod_binary64`
180×	`expm1-udef_binary64`
180×	`log1p-udef_binary64`
159×	`log-pow_binary64`

Counts

3 → 87

Calls

3 calls:

96.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
96.0ms	(sin.f64 (/.f64 x (*.f64 y 2)))
96.0ms	(tan.f64 (/.f64 x (*.f64 y 2)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	193	38
2	2562	38
3	5370	38
0	0	0
1	0	0

simplify147.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

581×	`fma-neg_binary64`
361×	`associate-/r/_binary64`
359×	`cancel-sign-sub-inv_binary64`
359×	`times-frac_binary64`
336×	`associate-/l/_binary64`

Counts

159 → 110

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	1410
1	186	1392
2	516	1326
3	2382	1299
4	4482	1299
5	4965	1299

prune247.0ms (2%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	91	19	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	19	111

Error

28.4b

Counts

111 → 19

Alt Table

Status	Error	Program
	39.3b	(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))) 3)
	59.3b	(/.f64 (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (tan.f64 (/.f64 x (+.f64 y y))))) (cbrt.f64 (exp.f64 (tan.f64 (/.f64 x (+.f64 y y))))))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (/.f64 x (+.f64 y y))))))) (sin.f64 (/.f64 x (.f64 y 2))))
	55.8b	(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sqrt.f64 (pow.f64 (sin.f64 (/.f64 x (+.f64 y y))) 2)))
	55.7b	(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (/.f64 x (+.f64 y y))) 2)) (sin.f64 (/.f64 x (*.f64 y 2))))
	39.9b	(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x (+.f64 y y)))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (/.f64 x (+.f64 y y)))) (sin.f64 (/.f64 x (+.f64 y y)))))
▶	31.5b	1
	61.6b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 y y))))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 y y))))) (sin.f64 1))))
	42.3b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (.f64 1/2 (/.f64 x y))))
	39.3b	(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))))
	42.3b	(/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2))))
	40.1b	(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))) (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))))))
	60.0b	(/.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (/.f64 x (+.f64 y y))))) 1) (sin.f64 (/.f64 x (*.f64 y 2))))
	59.5b	(/.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (/.f64 x (+.f64 y y)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
	52.6b	(*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x (+.f64 y y)))) (pow.f64 (cbrt.f64 (sin.f64 (/.f64 x (+.f64 y y)))) 2)) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x (+.f64 y y)))) (cbrt.f64 (sin.f64 (/.f64 x (+.f64 y y))))))
	39.3b	(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x (+.f64 y y)))) 2) (pow.f64 (cbrt.f64 (sin.f64 (/.f64 x (+.f64 y y)))) 2)) (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))))
	39.8b	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (/.f64 x (+.f64 y y)))) 2)) (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (cbrt.f64 (sin.f64 (/.f64 x (+.f64 y y))))))
	39.3b	(*.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))) 2))
	47.2b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (-.f64 (.f64 1/2 (/.f64 x y)) (*.f64 1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
	59.9b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sin.f64 (/.f64 x (+.f64 y y))))) (cbrt.f64 (exp.f64 (sin.f64 (/.f64 x (+.f64 y y))))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (/.f64 x (+.f64 y y))))))))

Compiler

Compiled 3247 to 1387 computations (57.3% saved)

localize0.0ms (0%)

prune55.0ms (0.5%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	18	18
Picked	1	1
Done	0	0
Total	19	19

Error

28.4b

Counts

19 → 19

Alt Table

Status	Error	Program
	39.3b	(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))) 3)
	59.3b	(/.f64 (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (tan.f64 (/.f64 x (+.f64 y y))))) (cbrt.f64 (exp.f64 (tan.f64 (/.f64 x (+.f64 y y))))))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (/.f64 x (+.f64 y y))))))) (sin.f64 (/.f64 x (.f64 y 2))))
	55.8b	(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sqrt.f64 (pow.f64 (sin.f64 (/.f64 x (+.f64 y y))) 2)))
	55.7b	(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (/.f64 x (+.f64 y y))) 2)) (sin.f64 (/.f64 x (*.f64 y 2))))
	39.9b	(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x (+.f64 y y)))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (/.f64 x (+.f64 y y)))) (sin.f64 (/.f64 x (+.f64 y y)))))
✓	31.5b	1
	61.6b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 y y))))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 y y))))) (sin.f64 1))))
	42.3b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (.f64 1/2 (/.f64 x y))))
▶	39.3b	(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))))
	42.3b	(/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2))))
	40.1b	(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))) (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))))))
	60.0b	(/.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (/.f64 x (+.f64 y y))))) 1) (sin.f64 (/.f64 x (*.f64 y 2))))
	59.5b	(/.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (/.f64 x (+.f64 y y)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
	52.6b	(*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x (+.f64 y y)))) (pow.f64 (cbrt.f64 (sin.f64 (/.f64 x (+.f64 y y)))) 2)) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x (+.f64 y y)))) (cbrt.f64 (sin.f64 (/.f64 x (+.f64 y y))))))
	39.3b	(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x (+.f64 y y)))) 2) (pow.f64 (cbrt.f64 (sin.f64 (/.f64 x (+.f64 y y)))) 2)) (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))))
	39.8b	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (/.f64 x (+.f64 y y)))) 2)) (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (cbrt.f64 (sin.f64 (/.f64 x (+.f64 y y))))))
	39.3b	(*.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))) 2))
	47.2b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (-.f64 (.f64 1/2 (/.f64 x y)) (*.f64 1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
	59.9b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sin.f64 (/.f64 x (+.f64 y y))))) (cbrt.f64 (exp.f64 (sin.f64 (/.f64 x (+.f64 y y))))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (/.f64 x (+.f64 y y))))))))

Compiler

Compiled 973 to 495 computations (49.1% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(expm1.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))
✓	7.4b	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))
✓	31.8b	(sin.f64 (/.f64 x (+.f64 y y)))
✓	32.1b	(tan.f64 (/.f64 x (+.f64 y y)))

series255.0ms (2.1%)

Counts

4 → 96

Calls

4 calls:

97.0ms	(expm1.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))
86.0ms	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))
55.0ms	(tan.f64 (/.f64 x (+.f64 y y)))
17.0ms	(sin.f64 (/.f64 x (+.f64 y y)))

rewrite525.0ms (4.3%)

Algorithm

2×	batch-egg-rewrite

Rules

587×	`prod-diff_binary64`
485×	`log-prod_binary64`
171×	`expm1-udef_binary64`
171×	`log1p-udef_binary64`
155×	`log-pow_binary64`

Counts

4 → 130

Calls

4 calls:

511.0ms	(expm1.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))
511.0ms	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))
511.0ms	(sin.f64 (/.f64 x (+.f64 y y)))
511.0ms	(tan.f64 (/.f64 x (+.f64 y y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	60
1	196	60
2	2492	60
3	5142	60
0	0	0
1	0	0

simplify167.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

537×	`times-frac_binary64`
376×	`cancel-sign-sub-inv_binary64`
335×	`fma-neg_binary64`
269×	`associate-/l*_binary64`
231×	`associate-/r*_binary64`

Counts

226 → 163

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	92	1944
1	256	1914
2	732	1836
3	3440	1782
4	4972	1782
5	4962	1782

prune403.0ms (3.3%)

Pruning

32 alts after pruning (30 fresh and 2 done)

	Pruned	Kept	Total
New	147	16	163
Fresh	3	14	17
Picked	0	1	1
Done	0	1	1
Total	150	32	182

Error

27.0b

Counts

182 → 32

Alt Table

Status	Error	Program
	49.3b	(log1p.f64 (fma.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (.f64 x (+.f64 y y))) (sin.f64 (.f64 x (+.f64 y y)))))) (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (.f64 x (+.f64 y y))) (sin.f64 (.f64 x (+.f64 y y))))))) (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (.f64 x (+.f64 y y))) (sin.f64 (*.f64 x (+.f64 y y)))))) -1))
	60.0b	(/.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (/.f64 x (+.f64 y y))))) 1) (sin.f64 (/.f64 x (*.f64 y 2))))
	39.3b	(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))) 3)
	59.3b	(/.f64 (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (tan.f64 (/.f64 x (+.f64 y y))))) (cbrt.f64 (exp.f64 (tan.f64 (/.f64 x (+.f64 y y))))))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (/.f64 x (+.f64 y y))))))) (sin.f64 (/.f64 x (.f64 y 2))))
	59.4b	(log1p.f64 (expm1.f64 (neg.f64 (/.f64 (tan.f64 (.f64 x (+.f64 y y))) (sin.f64 (.f64 x (+.f64 y y)))))))
	49.2b	(log1p.f64 (.f64 (cbrt.f64 (expm1.f64 (/.f64 (tan.f64 (.f64 x (+.f64 y y))) (sin.f64 (.f64 x (+.f64 y y)))))) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (tan.f64 (.f64 x (+.f64 y y))) (sin.f64 (*.f64 x (+.f64 y y)))))) 2)))
	55.8b	(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sqrt.f64 (pow.f64 (sin.f64 (/.f64 x (+.f64 y y))) 2)))
	55.7b	(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (/.f64 x (+.f64 y y))) 2)) (sin.f64 (/.f64 x (*.f64 y 2))))
	48.9b	(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x (+.f64 y y))) (sin.f64 (.f64 x (+.f64 y y))))) 3)))
	52.6b	(*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x (+.f64 y y)))) (pow.f64 (cbrt.f64 (sin.f64 (/.f64 x (+.f64 y y)))) 2)) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x (+.f64 y y)))) (cbrt.f64 (sin.f64 (/.f64 x (+.f64 y y))))))
	49.2b	(log1p.f64 (expm1.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (+.f64 y y)))) 2)) (/.f64 (tan.f64 (.f64 x (+.f64 y y))) (cbrt.f64 (sin.f64 (.f64 x (+.f64 y y))))))))
	62.6b	(log1p.f64 (expm1.f64 (/.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x (+.f64 y y)))))) (sin.f64 (/.f64 x (+.f64 y y))))))
	39.9b	(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x (+.f64 y y)))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (/.f64 x (+.f64 y y)))) (sin.f64 (/.f64 x (+.f64 y y)))))
✓	31.5b	1
	49.6b	(log1p.f64 (expm1.f64 (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (+.f64 y y)))) 2) (.f64 (cbrt.f64 (tan.f64 (.f64 x (+.f64 y y)))) (/.f64 1 (sin.f64 (*.f64 x (+.f64 y y))))))))
	62.5b	(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (+.f64 y y)))) 3) (sin.f64 (/.f64 x (+.f64 y y))))))
	39.8b	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (/.f64 x (+.f64 y y)))) 2)) (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (cbrt.f64 (sin.f64 (/.f64 x (+.f64 y y))))))
	62.7b	(log1p.f64 (expm1.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (+.f64 y y)))) 2) (neg.f64 (cbrt.f64 (tan.f64 (*.f64 x (+.f64 y y)))))) (sin.f64 (/.f64 x (+.f64 y y))))))
▶	39.3b	(*.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))) 2))
	61.6b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 y y))))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 y y))))) (sin.f64 1))))
	42.3b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (.f64 1/2 (/.f64 x y))))
	62.8b	(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (neg.f64 (sin.f64 (*.f64 x (+.f64 y y)))))))
	62.6b	(log1p.f64 (expm1.f64 (/.f64 (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 x (+.f64 y y))))) (cbrt.f64 (exp.f64 (tan.f64 (.f64 x (+.f64 y y))))))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 x (+.f64 y y))))))) (sin.f64 (/.f64 x (+.f64 y y))))))
	59.9b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sin.f64 (/.f64 x (+.f64 y y))))) (cbrt.f64 (exp.f64 (sin.f64 (/.f64 x (+.f64 y y))))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (/.f64 x (+.f64 y y))))))))
	49.1b	(log1p.f64 (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (expm1.f64 (/.f64 (tan.f64 (.f64 x (+.f64 y y))) (sin.f64 (.f64 x (+.f64 y y))))))) (cbrt.f64 (exp.f64 (expm1.f64 (/.f64 (tan.f64 (.f64 x (+.f64 y y))) (sin.f64 (.f64 x (+.f64 y y))))))))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (/.f64 (tan.f64 (.f64 x (+.f64 y y))) (sin.f64 (*.f64 x (+.f64 y y))))))))))
	62.4b	(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (+.f64 y y)))) 3))))
✓	39.3b	(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))))
	42.3b	(/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2))))
	40.1b	(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))) (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))))))
	48.9b	(log1p.f64 (cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (tan.f64 (.f64 x (+.f64 y y))) (sin.f64 (.f64 x (+.f64 y y))))) 3)))
	62.5b	(log1p.f64 (expm1.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (+.f64 y y)))) 2) (/.f64 (cos.f64 (.f64 x (+.f64 y y))) (cbrt.f64 (sin.f64 (*.f64 x (+.f64 y y)))))) (sin.f64 (/.f64 x (+.f64 y y))))))
	49.1b	(log1p.f64 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (/.f64 (tan.f64 (.f64 x (+.f64 y y))) (sin.f64 (.f64 x (+.f64 y y)))))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (/.f64 (tan.f64 (.f64 x (+.f64 y y))) (sin.f64 (.f64 x (+.f64 y y))))))))))

Compiler

Compiled 5494 to 1984 computations (63.9% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))) 2)
	7.4b	(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))
	31.8b	(sin.f64 (/.f64 x (+.f64 y y)))
	32.1b	(tan.f64 (/.f64 x (+.f64 y y)))

series841.0ms (6.9%)

Counts

1 → 24

Calls

1 calls:

841.0ms

(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))) 2)

rewrite106.0ms (0.9%)

Algorithm

2×	batch-egg-rewrite

Rules

746×	`prod-diff_binary64`
193×	`expm1-udef_binary64`
193×	`log1p-udef_binary64`
175×	`log-pow_binary64`
119×	`add-sqr-sqrt_binary64`

Counts

1 → 21

Calls

1 calls:

104.0ms

(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))) 2)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	239	23
2	2801	23
3	4672	23
4	4947	23
0	0	0
1	0	0

simplify70.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

911×	`fma-def_binary64`
611×	`associate-/l*_binary64`
448×	`associate-/r*_binary64`
322×	`associate-r_binary64`
318×	`associate-l_binary64`

Counts

45 → 30

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	468
1	87	462
2	189	456
3	685	450
4	3750	423
5	5025	423

prune320.0ms (2.6%)

Pruning

39 alts after pruning (38 fresh and 1 done)

	Pruned	Kept	Total
New	271	13	284
Fresh	4	25	29
Picked	1	0	1
Done	1	1	2
Total	277	39	316

Error

26.8b

Counts

316 → 39

Alt Table

Status	Error	Program
	61.5b	(.f64 (cbrt.f64 (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 x (+.f64 y y))))) (sin.f64 (/.f64 x (+.f64 y y))))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))) 2))
	40.1b	(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))) (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))))))
	49.3b	(log1p.f64 (fma.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (.f64 x (+.f64 y y))) (sin.f64 (.f64 x (+.f64 y y)))))) (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (.f64 x (+.f64 y y))) (sin.f64 (.f64 x (+.f64 y y))))))) (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (.f64 x (+.f64 y y))) (sin.f64 (*.f64 x (+.f64 y y)))))) -1))
	62.8b	(.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 x (+.f64 y y))))) (cbrt.f64 (exp.f64 (sin.f64 (.f64 x (+.f64 y y))))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x (+.f64 y y))))))))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))) 2))
	60.0b	(/.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (/.f64 x (+.f64 y y))))) 1) (sin.f64 (/.f64 x (*.f64 y 2))))
	39.3b	(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))) 3)
	40.0b	(*.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))) 1)
	59.3b	(/.f64 (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (tan.f64 (/.f64 x (+.f64 y y))))) (cbrt.f64 (exp.f64 (tan.f64 (/.f64 x (+.f64 y y))))))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (/.f64 x (+.f64 y y))))))) (sin.f64 (/.f64 x (.f64 y 2))))
	59.4b	(log1p.f64 (expm1.f64 (neg.f64 (/.f64 (tan.f64 (.f64 x (+.f64 y y))) (sin.f64 (.f64 x (+.f64 y y)))))))
	49.2b	(log1p.f64 (.f64 (cbrt.f64 (expm1.f64 (/.f64 (tan.f64 (.f64 x (+.f64 y y))) (sin.f64 (.f64 x (+.f64 y y)))))) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (tan.f64 (.f64 x (+.f64 y y))) (sin.f64 (*.f64 x (+.f64 y y)))))) 2)))
	53.5b	(.f64 (cbrt.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (+.f64 y y)))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (.f64 x (+.f64 y y)))) (sin.f64 (*.f64 x (+.f64 y y)))))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))) 2))
	55.8b	(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sqrt.f64 (pow.f64 (sin.f64 (/.f64 x (+.f64 y y))) 2)))
	55.7b	(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (/.f64 x (+.f64 y y))) 2)) (sin.f64 (/.f64 x (*.f64 y 2))))
	48.9b	(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 x (+.f64 y y))) (sin.f64 (.f64 x (+.f64 y y))))) 3)))
	52.6b	(*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x (+.f64 y y)))) (pow.f64 (cbrt.f64 (sin.f64 (/.f64 x (+.f64 y y)))) 2)) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x (+.f64 y y)))) (cbrt.f64 (sin.f64 (/.f64 x (+.f64 y y))))))
	49.2b	(log1p.f64 (expm1.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (+.f64 y y)))) 2)) (/.f64 (tan.f64 (.f64 x (+.f64 y y))) (cbrt.f64 (sin.f64 (.f64 x (+.f64 y y))))))))
	58.9b	(.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))) (pow.f64 (cbrt.f64 (.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 x (+.f64 y y)))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (+.f64 y y)))) 2)) (/.f64 (sqrt.f64 (tan.f64 (.f64 x (+.f64 y y)))) (cbrt.f64 (sin.f64 (.f64 x (+.f64 y y))))))) 2))
	41.9b	(.f64 (cbrt.f64 (/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (+.f64 y y))))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))) 2))
	62.0b	(.f64 (cbrt.f64 (/.f64 (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 x (+.f64 y y))))) (cbrt.f64 (exp.f64 (tan.f64 (.f64 x (+.f64 y y))))))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x (+.f64 y y))))))) (sin.f64 (/.f64 x (+.f64 y y))))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))) 2))
	39.9b	(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x (+.f64 y y)))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (/.f64 x (+.f64 y y)))) (sin.f64 (/.f64 x (+.f64 y y)))))
✓	31.5b	1
	62.5b	(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (+.f64 y y)))) 3) (sin.f64 (/.f64 x (+.f64 y y))))))
	39.8b	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (/.f64 x (+.f64 y y)))) 2)) (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (cbrt.f64 (sin.f64 (/.f64 x (+.f64 y y))))))
	62.7b	(log1p.f64 (expm1.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (+.f64 y y)))) 2) (neg.f64 (cbrt.f64 (tan.f64 (*.f64 x (+.f64 y y)))))) (sin.f64 (/.f64 x (+.f64 y y))))))
	61.0b	(.f64 (cbrt.f64 (neg.f64 (/.f64 (tan.f64 (.f64 x (+.f64 y y))) (sin.f64 (*.f64 x (+.f64 y y)))))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))) 2))
	61.5b	(.f64 (cbrt.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x (+.f64 y y)))) 3) (sin.f64 (/.f64 x (+.f64 y y))))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))) 2))
	40.0b	(*.f64 (cbrt.f64 1) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))) 2))
	61.6b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 y y))))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 y y))))) (sin.f64 1))))
	62.8b	(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (neg.f64 (sin.f64 (*.f64 x (+.f64 y y)))))))
	62.6b	(log1p.f64 (expm1.f64 (/.f64 (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 x (+.f64 y y))))) (cbrt.f64 (exp.f64 (tan.f64 (.f64 x (+.f64 y y))))))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 x (+.f64 y y))))))) (sin.f64 (/.f64 x (+.f64 y y))))))
	53.5b	(.f64 (cbrt.f64 (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (.f64 x (+.f64 y y))) (sin.f64 (.f64 x (+.f64 y y)))))) (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (.f64 x (+.f64 y y))) (sin.f64 (.f64 x (+.f64 y y)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (.f64 x (+.f64 y y))) (sin.f64 (.f64 x (+.f64 y y))))))))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))) 2))
	59.9b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sin.f64 (/.f64 x (+.f64 y y))))) (cbrt.f64 (exp.f64 (sin.f64 (/.f64 x (+.f64 y y))))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (/.f64 x (+.f64 y y))))))))
	49.1b	(log1p.f64 (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (expm1.f64 (/.f64 (tan.f64 (.f64 x (+.f64 y y))) (sin.f64 (.f64 x (+.f64 y y))))))) (cbrt.f64 (exp.f64 (expm1.f64 (/.f64 (tan.f64 (.f64 x (+.f64 y y))) (sin.f64 (.f64 x (+.f64 y y))))))))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (/.f64 (tan.f64 (.f64 x (+.f64 y y))) (sin.f64 (*.f64 x (+.f64 y y))))))))))
	62.4b	(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (+.f64 y y)))) 3))))
	52.9b	(.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (.f64 x (+.f64 y y))) (sin.f64 (.f64 x (+.f64 y y)))))) (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (.f64 x (+.f64 y y))) (sin.f64 (.f64 x (+.f64 y y)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (.f64 x (+.f64 y y))) (sin.f64 (.f64 x (+.f64 y y))))))))) 2))
	42.2b	(.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (.f64 1/2 (/.f64 x y))))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))) 2))
	48.9b	(log1p.f64 (cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (tan.f64 (.f64 x (+.f64 y y))) (sin.f64 (.f64 x (+.f64 y y))))) 3)))
	62.5b	(log1p.f64 (expm1.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (+.f64 y y)))) 2) (/.f64 (cos.f64 (.f64 x (+.f64 y y))) (cbrt.f64 (sin.f64 (*.f64 x (+.f64 y y)))))) (sin.f64 (/.f64 x (+.f64 y y))))))
	49.1b	(log1p.f64 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (/.f64 (tan.f64 (.f64 x (+.f64 y y))) (sin.f64 (.f64 x (+.f64 y y)))))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (/.f64 (tan.f64 (.f64 x (+.f64 y y))) (sin.f64 (.f64 x (+.f64 y y))))))))))

Compiler

Compiled 12239 to 3036 computations (75.2% saved)

regimes1.1s (9%)

Accuracy

Total 3.4b remaining (12.3%)

Threshold costs 0b (0%)

Counts

152 → 3

Compiler

Compiled 20373 to 10762 computations (47.2% saved)

bsearch6.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	38
1	23	38
2	22	38

end584.0ms (4.8%)

Compiler: Compiled 1371 to 629 computations (54.1% saved)

Details

analyze1.1s (9.1%)

sample5.9s (48.3%)

simplify13.0ms (0.1%)

prune4.0ms (0%)

localize21.0ms (0.2%)

series178.0ms (1.5%)

rewrite100.0ms (0.8%)

simplify147.0ms (1.2%)

prune247.0ms (2%)

localize0.0ms (0%)

prune55.0ms (0.5%)

localize21.0ms (0.2%)

series255.0ms (2.1%)

rewrite525.0ms (4.3%)

simplify167.0ms (1.4%)

prune403.0ms (3.3%)

localize26.0ms (0.2%)

series841.0ms (6.9%)

rewrite106.0ms (0.9%)

simplify70.0ms (0.6%)

prune320.0ms (2.6%)

regimes1.1s (9%)

bsearch6.0ms (0%)

simplify3.0ms (0%)

end584.0ms (4.8%)

Profiling