Details

analyze1.2s (16.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
37.5%	62.5%	0%	4
43.7%	56.2%	0%	5
46.9%	53.1%	0%	6
48.4%	51.5%	0%	7
49.2%	50.8%	0%	8
49.6%	50.4%	0%	9
49.8%	50.2%	0%	10
49.9%	50.1%	0%	11
49.9%	50%	0%	12
50%	50%	0%	13
50%	49.9%	0%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample3.6s (49.7%)

Results

1.9s	1982×	body	1024	valid
931.0ms	4637×	body	128	valid
525.0ms	1073×	body	512	valid
206.0ms	555×	body	256	valid
16.0ms	9×	body	2048	valid

Compiler

Compiled 53 to 44 computations (17% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
9×	`associate-/l*_binary64`
9×	`associate-/r/_binary64`
4×	`associate-r_binary64`
4×	`associate-l_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	20	22
2	31	22
3	41	22
4	49	22
5	51	22
6	50	22

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

16.4b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	16.4b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))

Compiler

Compiled 61 to 48 computations (21.3% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 (*.f64 x 1/2))
✓	0.2b	(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
✓	0.4b	(.f64 8/3 (sin.f64 (.f64 x 1/2)))
✓	16.1b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))

series19.0ms (0.3%)

Counts

4 → 48

Calls

4 calls:

11.0ms	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))
5.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
2.0ms	(.f64 8/3 (sin.f64 (.f64 x 1/2)))
1.0ms	(sin.f64 (*.f64 x 1/2))

rewrite20.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-cbrt-cube_binary64`
20×	`add-exp-log_binary64`
11×	`add-sqr-sqrt_binary64`
11×	`pow1_binary64`
9×	`*-un-lft-identity_binary64`

Counts

4 → 74

Calls

4 calls:

5.0ms	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))
4.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
3.0ms	(.f64 8/3 (sin.f64 (.f64 x 1/2)))
1.0ms	(sin.f64 (*.f64 x 1/2))

simplify80.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

672×	`times-frac_binary64`
637×	`associate-/l*_binary64`
499×	`fma-def_binary64`
421×	`associate-l_binary64`
300×	`cancel-sign-sub-inv_binary64`

Counts

122 → 137

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	161	2170
1	382	1712
2	1149	1695
3	4046	1688
4	4931	1688

prune166.0ms (2.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	144	13	157
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	145	13	158

Error

0.1b

Counts

158 → 13

Alt Table

Status	Error	Program
▶	0.5b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
	38.7b	(/.f64 (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 3/2))) (sin.f64 x))
	16.5b	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (/.f64 1 (sin.f64 x)))
	16.4b	(/.f64 1 (/.f64 (sin.f64 x) (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))))
	33.2b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 8/3))
	33.1b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sqrt.f64 (sin.f64 x))))
	1.4b	(.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x)))) (/.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 x))))
	16.5b	(/.f64 (.f64 (sqrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 2))) (sqrt.f64 (.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) (sin.f64 x))
	32.9b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (log.f64 (exp.f64 (sin.f64 (.f64 x 1/2)))))) (sin.f64 x))
	17.1b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (.f64 8/3 (.f64 (cbrt.f64 (sin.f64 (.f64 x 1/2))) (cbrt.f64 (sin.f64 (.f64 x 1/2))))) (cbrt.f64 (sin.f64 (.f64 x 1/2))))) (sin.f64 x))
	16.4b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sqrt.f64 8/3) (.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))))) (sin.f64 x))
	28.7b	(cbrt.f64 (/.f64 (.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2))))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2))))) (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x))))
	17.0b	(.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))) (cbrt.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x)))) (cbrt.f64 (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))))

Compiler

Compiled 3654 to 2718 computations (25.6% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 (*.f64 x 1/2))
✓	0.3b	(/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))
✓	0.4b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
	0.4b	(.f64 8/3 (sin.f64 (.f64 x 1/2)))

series18.0ms (0.2%)

Counts

2 → 24

Calls

2 calls:

11.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
7.0ms	(/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))

rewrite15.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-cbrt-cube_binary64`
16×	`add-exp-log_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`associate-r_binary64`
7×	`*-un-lft-identity_binary64`

Counts

2 → 52

Calls

2 calls:

8.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
4.0ms	(/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))

simplify97.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

528×	`times-frac_binary64`
441×	`associate-/l*_binary64`
414×	`fma-def_binary64`
384×	`associate-*r/_binary64`
384×	`associate-*l/_binary64`

Counts

76 → 97

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	127	1666
1	296	1325
2	993	1323
3	3425	1316
4	3953	1316
5	4869	1316
6	4915	1316

prune162.0ms (2.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	160	8	168
Fresh	9	3	12
Picked	1	0	1
Done	0	0	0
Total	170	11	181

Error

0.0b

Counts

181 → 11

Alt Table

Status	Error	Program
▶	0.4b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sin.f64 x)))
	0.7b	(.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (.f64 (.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))))
	28.7b	(cbrt.f64 (/.f64 (.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2))))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2))))) (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x))))
	14.6b	(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (sqrt.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))) (sqrt.f64 (/.f64 (.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))))
	0.8b	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (cbrt.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))) (cbrt.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))))) (cbrt.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))))
	33.1b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (/.f64 8/3 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))))
	38.7b	(/.f64 (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 3/2))) (sin.f64 x))
	0.5b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (log1p.f64 (expm1.f64 (sin.f64 (.f64 x 1/2))))) (sin.f64 x)))
	32.9b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (log.f64 (exp.f64 (sin.f64 (.f64 x 1/2)))))) (sin.f64 x))
	1.3b	(.f64 (sin.f64 (.f64 x 1/2)) (.f64 (/.f64 8/3 (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x)))))
	36.2b	(.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3/2) (/.f64 (sin.f64 x) 8/3)))

Compiler

Compiled 3888 to 2869 computations (26.2% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3))
✓	0.2b	(.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)))
✓	0.3b	(/.f64 (.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sin.f64 x))
✓	0.4b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sin.f64 x)))

series42.0ms (0.6%)

Counts

4 → 48

Calls

4 calls:

16.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sin.f64 x)))
15.0ms	(/.f64 (.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sin.f64 x))
7.0ms	(.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)))
4.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3))

rewrite34.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`add-cbrt-cube_binary64`
34×	`add-exp-log_binary64`
20×	`add-sqr-sqrt_binary64`
14×	`associate-r_binary64`
14×	`*-un-lft-identity_binary64`

Counts

4 → 103

Calls

4 calls:

10.0ms	(.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)))
8.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sin.f64 x)))
6.0ms	(/.f64 (.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sin.f64 x))
4.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3))

simplify110.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

602×	`associate-*l/_binary64`
457×	`fma-def_binary64`
443×	`associate-/r*_binary64`
381×	`fma-neg_binary64`
281×	`associate-/r/_binary64`

Counts

151 → 190

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	201	3112
1	525	2376
2	1634	2360
3	4670	2360
4	4930	2360

prune217.0ms (3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	187	3	190
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	191	10	201

Error

Counts

201 → 10

Alt Table

Status	Error	Program
	0.9b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sqrt.f64 8/3) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (fabs.f64 (cbrt.f64 8/3))) (sqrt.f64 (cbrt.f64 8/3)))) (sin.f64 x)))
	0.7b	(.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (.f64 (.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))))
	28.7b	(cbrt.f64 (/.f64 (.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2))))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2))))) (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x))))
	0.8b	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (cbrt.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))) (cbrt.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))))) (cbrt.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))))
	14.7b	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))) (sqrt.f64 (/.f64 (.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3))) (sin.f64 x))))
	38.7b	(/.f64 (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 3/2))) (sin.f64 x))
	22.4b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (cbrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 8/3) (sqrt.f64 8/3)) (sqrt.f64 8/3)) (.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)) (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3))) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))))) (sin.f64 x)))
▶	0.5b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (log1p.f64 (expm1.f64 (sin.f64 (.f64 x 1/2))))) (sin.f64 x)))
	32.9b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (log.f64 (exp.f64 (sin.f64 (.f64 x 1/2)))))) (sin.f64 x))
	36.2b	(.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3/2) (/.f64 (sin.f64 x) 8/3)))

Compiler

Compiled 5225 to 4126 computations (21% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(log1p.f64 (expm1.f64 (sin.f64 (*.f64 x 1/2))))
✓	0.3b	(/.f64 (.f64 8/3 (log1p.f64 (expm1.f64 (sin.f64 (.f64 x 1/2))))) (sin.f64 x))
✓	0.4b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (log1p.f64 (expm1.f64 (sin.f64 (.f64 x 1/2))))) (sin.f64 x)))
✓	0.4b	(.f64 8/3 (log1p.f64 (expm1.f64 (sin.f64 (.f64 x 1/2)))))

series24.0ms (0.3%)

Counts

4 → 48

Calls

4 calls:

11.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (log1p.f64 (expm1.f64 (sin.f64 (.f64 x 1/2))))) (sin.f64 x)))
9.0ms	(/.f64 (.f64 8/3 (log1p.f64 (expm1.f64 (sin.f64 (.f64 x 1/2))))) (sin.f64 x))
2.0ms	(.f64 8/3 (log1p.f64 (expm1.f64 (sin.f64 (.f64 x 1/2)))))
2.0ms	(log1p.f64 (expm1.f64 (sin.f64 (*.f64 x 1/2))))

rewrite17.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

6.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (log1p.f64 (expm1.f64 (sin.f64 (.f64 x 1/2))))) (sin.f64 x)))
4.0ms	(/.f64 (.f64 8/3 (log1p.f64 (expm1.f64 (sin.f64 (.f64 x 1/2))))) (sin.f64 x))
3.0ms	(.f64 8/3 (log1p.f64 (expm1.f64 (sin.f64 (.f64 x 1/2)))))
0.0ms	(log1p.f64 (expm1.f64 (sin.f64 (*.f64 x 1/2))))

simplify98.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

850×	`fma-def_binary64`
528×	`times-frac_binary64`
445×	`associate-/l*_binary64`
383×	`associate-*r/_binary64`
380×	`associate-*l/_binary64`

Counts

131 → 172

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	175	2273
1	406	1894
2	1247	1888
3	4037	1881
4	4972	1881
5	4953	1881

prune160.0ms (2.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	172	10	182

Error

Counts

182 → 10

Alt Table

Status	Error	Program
	0.9b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sqrt.f64 8/3) (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (fabs.f64 (cbrt.f64 8/3))) (sqrt.f64 (cbrt.f64 8/3)))) (sin.f64 x)))
	0.7b	(.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (.f64 (.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))))
	28.7b	(cbrt.f64 (/.f64 (.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2))))) (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2))))) (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x))))
	0.8b	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 (cbrt.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))) (cbrt.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))))) (cbrt.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))))
	14.7b	(.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))) (sqrt.f64 (/.f64 (.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3))) (sin.f64 x))))
	38.7b	(/.f64 (.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (.f64 8/3 (pow.f64 (sin.f64 (.f64 x 1/2)) 3/2))) (sin.f64 x))
	22.4b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (cbrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 8/3) (sqrt.f64 8/3)) (sqrt.f64 8/3)) (.f64 (.f64 (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3)) (.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3))) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))))) (sin.f64 x)))
✓	0.5b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (log1p.f64 (expm1.f64 (sin.f64 (.f64 x 1/2))))) (sin.f64 x)))
	32.9b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (log.f64 (exp.f64 (sin.f64 (.f64 x 1/2)))))) (sin.f64 x))
	36.2b	(.f64 (sqrt.f64 (sin.f64 (.f64 x 1/2))) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3/2) (/.f64 (sin.f64 x) 8/3)))

Compiler

Compiled 3928 to 2974 computations (24.3% saved)

regimes914.0ms (12.6%)

Accuracy

Total 0.4b remaining (86.6%)

Threshold costs 0.4b (86.6%)

Counts

349 → 1

Compiler

Compiled 15054 to 12288 computations (18.4% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	16	29
2	16	29

end211.0ms (2.9%)

Compiler: Compiled 325 to 264 computations (18.8% saved)

Details

analyze1.2s (16.5%)

sample3.6s (49.7%)

simplify6.0ms (0.1%)

prune3.0ms (0%)

localize12.0ms (0.2%)

series19.0ms (0.3%)

rewrite20.0ms (0.3%)

simplify80.0ms (1.1%)

prune166.0ms (2.3%)

localize10.0ms (0.1%)

series18.0ms (0.2%)

rewrite15.0ms (0.2%)

simplify97.0ms (1.3%)

prune162.0ms (2.2%)

localize9.0ms (0.1%)

series42.0ms (0.6%)

rewrite34.0ms (0.5%)

simplify110.0ms (1.5%)

prune217.0ms (3%)

localize10.0ms (0.1%)

series24.0ms (0.3%)

rewrite17.0ms (0.2%)

simplify98.0ms (1.3%)

prune160.0ms (2.2%)

regimes914.0ms (12.6%)

simplify2.0ms (0%)

end211.0ms (2.9%)

Profiling