Details

analyze1.1s (15.6%)

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
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)

sample88.0ms (1.3%)

Algorithm

1×

intervals

Results

31.0ms	34×	body	2048	valid
17.0ms	134×	body	128	valid
17.0ms	38×	body	1024	valid
9.0ms	34×	body	512	valid
4.0ms	16×	body	256	valid

Compiler

Compiled 33 to 25 computations (24.2% saved)

simplify7.0ms (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

prune9.0ms (0.1%)

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

34.4b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	34.4b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))

Compiler

Compiled 45 to 33 computations (26.7% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	5.2b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
✓	28.5b	(sin.f64 (/.f64 x (*.f64 y 2)))
✓	29.3b	(tan.f64 (/.f64 x (*.f64 y 2)))

series73.0ms (1.1%)

Counts

3 → 72

Calls

3 calls:

41.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
24.0ms	(tan.f64 (/.f64 x (*.f64 y 2)))
8.0ms	(sin.f64 (/.f64 x (*.f64 y 2)))

rewrite9.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 49

Calls

3 calls:

4.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
1.0ms	(sin.f64 (/.f64 x (*.f64 y 2)))
1.0ms	(tan.f64 (/.f64 x (*.f64 y 2)))

simplify107.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

469×	`associate-/l/_binary64`
418×	`associate-/r/_binary64`
384×	`times-frac_binary64`
369×	`fma-neg_binary64`
362×	`cancel-sign-sub-inv_binary64`

Counts

121 → 77

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	130	2675
1	284	2537
2	699	2471
3	2692	2444
4	4924	2444
5	5018	2444

prune108.0ms (1.6%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	58	19	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	19	78

Error

27.1b

Counts

78 → 19

Alt Table

Status	Error	Program
	34.5b	(.f64 (/.f64 (.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (.f64 (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))))) (/.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))))
	58.1b	(/.f64 (log.f64 (exp.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	34.4b	(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))
	35.4b	(/.f64 (expm1.f64 (log1p.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	50.1b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 y 2))) 3)))
▶	30.2b	1
	48.8b	(.f64 (/.f64 1 (sqrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))) (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sqrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))))
	58.9b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (/.f64 x (.f64 y 2))))))
	48.5b	(.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (.f64 (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))))) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))))
	48.4b	(/.f64 (.f64 (sqrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (sqrt.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	35.1b	(.f64 (.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (/.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (sin.f64 (/.f64 x (.f64 y 2)))))
	37.8b	(/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2))))
	49.1b	(.f64 (/.f64 (.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sqrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))) (/.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (sqrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))))
	37.4b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (.f64 1/2 (/.f64 x y))))
	34.5b	(.f64 (.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))) (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))))) (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))
	44.5b	(/.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)))))
	50.1b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (cbrt.f64 (.f64 (.f64 (sin.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))) (sin.f64 (/.f64 x (.f64 y 2))))))
	35.0b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))))) (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))))
	49.5b	(.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (sqrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (sqrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))))

Compiler

Compiled 2744 to 1997 computations (27.2% saved)

localize1.0ms (0%)

prune27.0ms (0.4%)

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

27.1b

Counts

19 → 19

Alt Table

Status	Error	Program
	34.5b	(.f64 (/.f64 (.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (.f64 (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))))) (/.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))))
	58.1b	(/.f64 (log.f64 (exp.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
▶	34.4b	(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))
	35.4b	(/.f64 (expm1.f64 (log1p.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	50.1b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 x (.f64 y 2))) 3)))
✓	30.2b	1
	48.8b	(.f64 (/.f64 1 (sqrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))) (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sqrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))))
	58.9b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (/.f64 x (.f64 y 2))))))
	48.5b	(.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (.f64 (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))))) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))))
	48.4b	(/.f64 (.f64 (sqrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (sqrt.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	35.1b	(.f64 (.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (/.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (sin.f64 (/.f64 x (.f64 y 2)))))
	37.8b	(/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2))))
	49.1b	(.f64 (/.f64 (.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sqrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))) (/.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (sqrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))))
	37.4b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (.f64 1/2 (/.f64 x y))))
	34.5b	(.f64 (.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))) (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))))) (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))
	44.5b	(/.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)))))
	50.1b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (cbrt.f64 (.f64 (.f64 (sin.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))) (sin.f64 (/.f64 x (.f64 y 2))))))
	35.0b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))))) (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))))
	49.5b	(.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (sqrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (sqrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))))

Compiler

Compiled 1005 to 755 computations (24.9% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))))
	5.2b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
	28.5b	(sin.f64 (/.f64 x (*.f64 y 2)))
	29.3b	(tan.f64 (/.f64 x (*.f64 y 2)))

series48.0ms (0.7%)

Counts

1 → 24

Calls

1 calls:

48.0ms

(expm1.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))))

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

2×	`log1p-expm1-u_binary64`
1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`

Counts

1 → 11

Calls

1 calls:

0.0ms

(expm1.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))))

simplify63.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

808×	`fma-def_binary64`
713×	`unswap-sqr_binary64`
586×	`associate-l_binary64`
436×	`associate-*l/_binary64`
332×	`associate-*r/_binary64`

Counts

35 → 29

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	58	840
1	130	783
2	316	771
3	1210	771
4	4459	744
5	5964	744

prune175.0ms (2.5%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	97	9	106
Fresh	8	9	17
Picked	1	0	1
Done	0	1	1
Total	106	19	125

Error

27.1b

Counts

125 → 19

Alt Table

Status	Error	Program
	34.5b	(.f64 (/.f64 (.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (.f64 (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))))) (/.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))))
	58.1b	(/.f64 (log.f64 (exp.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
▶	34.4b	(log1p.f64 (cbrt.f64 (.f64 (.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))) (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))))) (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))))
	35.4b	(/.f64 (expm1.f64 (log1p.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	34.5b	(log1p.f64 (expm1.f64 (.f64 (/.f64 (.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (.f64 (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))))) (/.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))))))
✓	30.2b	1
	35.0b	(log1p.f64 (.f64 (.f64 (cbrt.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))))) (cbrt.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))) (cbrt.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))))
	35.0b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))))) (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))))
	34.5b	(log1p.f64 (expm1.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))) (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))))) (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))))
	34.6b	(log1p.f64 (log.f64 (exp.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))))
	34.6b	(log1p.f64 (log1p.f64 (expm1.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))))
	37.8b	(/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2))))
	35.1b	(log1p.f64 (expm1.f64 (/.f64 (.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (/.f64 (sin.f64 (/.f64 x (.f64 y 2))) (cbrt.f64 (tan.f64 (/.f64 x (*.f64 y 2))))))))
	49.1b	(.f64 (/.f64 (.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sqrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))) (/.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (sqrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))))
	37.4b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (.f64 1/2 (/.f64 x y))))
	35.0b	(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (.f64 (.f64 (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))))))
	44.5b	(/.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)))))
	49.5b	(.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (sqrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (sqrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))))
	35.0b	(log1p.f64 (expm1.f64 (/.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (.f64 (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))))) (cbrt.f64 (sin.f64 (/.f64 x (*.f64 y 2)))))))

Compiler

Compiled 3690 to 2738 computations (25.8% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.8b	(expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))))
	5.2b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
	28.5b	(sin.f64 (/.f64 x (*.f64 y 2)))
	29.3b	(tan.f64 (/.f64 x (*.f64 y 2)))

prune845.0ms (12.2%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	313	5	318
Fresh	2	15	17
Picked	1	0	1
Done	0	1	1
Total	316	21	337

Error

27.0b

Counts

337 → 21

Alt Table

Status	Error	Program
	49.1b	(.f64 (/.f64 (.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sqrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))) (/.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (sqrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))))
	37.5b	(log1p.f64 (cbrt.f64 (.f64 (.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))) (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))))) (expm1.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) (.f64 1/24 (pow.f64 (/.f64 x y) 3))) (sin.f64 (/.f64 x (.f64 y 2))))))))
	34.5b	(.f64 (/.f64 (.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (.f64 (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))))) (/.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))))
	58.1b	(/.f64 (log.f64 (exp.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	35.4b	(/.f64 (expm1.f64 (log1p.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (sin.f64 (/.f64 x (.f64 y 2))))
	34.5b	(log1p.f64 (expm1.f64 (.f64 (/.f64 (.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (.f64 (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))))) (/.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))))))
✓	30.2b	1
	37.3b	(log1p.f64 (cbrt.f64 (.f64 (.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))) (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))))) (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (.f64 1/2 (/.f64 x y))))))))
	35.0b	(log1p.f64 (.f64 (.f64 (cbrt.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))))) (cbrt.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))) (cbrt.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))))
	35.0b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))))) (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))))
	34.5b	(log1p.f64 (expm1.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))) (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))))) (cbrt.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))))
	34.6b	(log1p.f64 (log.f64 (exp.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))))
	34.6b	(log1p.f64 (log1p.f64 (expm1.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))))
	49.5b	(.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (sqrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))) (/.f64 (sqrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (sqrt.f64 (sin.f64 (/.f64 x (*.f64 y 2))))))
	58.8b	(log1p.f64 (cbrt.f64 (.f64 (.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))) (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (/.f64 x (.f64 y 2)))))))) (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))))))
	37.8b	(/.f64 (.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (.f64 y 2))))
	35.1b	(log1p.f64 (expm1.f64 (/.f64 (.f64 (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (tan.f64 (/.f64 x (.f64 y 2))))) (/.f64 (sin.f64 (/.f64 x (.f64 y 2))) (cbrt.f64 (tan.f64 (/.f64 x (*.f64 y 2))))))))
	35.0b	(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (.f64 (.f64 (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2))))))))
	34.4b	(log1p.f64 (cbrt.f64 (.f64 (.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))) (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))))) (cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 2 y))) (sin.f64 (/.f64 x (.f64 2 y))))) 3)))))
	44.4b	(log1p.f64 (cbrt.f64 (.f64 (.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))) (expm1.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2)))))) (expm1.f64 (/.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)))))))))
	35.0b	(log1p.f64 (expm1.f64 (/.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (.f64 (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))) (cbrt.f64 (sin.f64 (/.f64 x (.f64 y 2)))))) (cbrt.f64 (sin.f64 (/.f64 x (*.f64 y 2)))))))

Compiler

Compiled 18156 to 13412 computations (26.1% saved)

regimes795.0ms (11.5%)

Accuracy

Total 1.5b remaining (5.3%)

Threshold costs 0b (0%)

Counts

86 → 2

Compiler

Compiled 16816 to 12730 computations (24.3% saved)

bsearch2.0ms (0%)

Steps

Iters	Range		Point
1	4.046089959804308	4.342630523838821	4.268495382830192

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	100
1	23	100
2	22	100

end1.0ms (0%)

Compiler: Compiled 65 to 49 computations (24.6% saved)

sample3.4s (49.7%)

Algorithm

1×

intervals

Results

1.0s	1157×	body	2048	valid
681.0ms	1335×	body	1024	valid
496.0ms	4239×	body	128	valid
298.0ms	825×	body	512	valid
96.0ms	441×	body	256	valid
9.0ms	3×	body	4096	valid

Compiler

Compiled 846 to 640 computations (24.3% saved)

Details

analyze1.1s (15.6%)

sample88.0ms (1.3%)

simplify7.0ms (0.1%)

prune9.0ms (0.1%)

localize9.0ms (0.1%)

series73.0ms (1.1%)

rewrite9.0ms (0.1%)

simplify107.0ms (1.5%)

prune108.0ms (1.6%)

localize1.0ms (0%)

prune27.0ms (0.4%)

localize12.0ms (0.2%)

series48.0ms (0.7%)

rewrite1.0ms (0%)

simplify63.0ms (0.9%)

prune175.0ms (2.5%)

localize16.0ms (0.2%)

prune845.0ms (12.2%)

regimes795.0ms (11.5%)

bsearch2.0ms (0%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample3.4s (49.7%)

Profiling