Details

analyze569.0ms (12.4%)

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
25%	74.9%	0.1%	7
31.2%	68.6%	0.1%	8
42.1%	57.7%	0.1%	9
56.9%	42.9%	0.1%	10
59.5%	40.4%	0.1%	11
68.1%	31.8%	0.1%	12
75.1%	24.4%	0.5%	13
75.7%	23.3%	1%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample2.1s (45.2%)

Results

754.0ms	5539×	body	128	valid
743.0ms	1426×	body	1024	valid
285.0ms	844×	body	512	valid
110.0ms	445×	body	256	valid
83.0ms	580×	body	128	invalid
20.0ms	61×	body	512	invalid
12.0ms	52×	body	256	invalid
9.0ms	19×	body	1024	invalid
2.0ms	2×	body	2048	valid

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

14×	`associate-/l*_binary64`
12×	`*-commutative_binary64`
10×	`associate-/r/_binary64`
6×	`associate-*l/_binary64`
5×	`associate-*r/_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	13	12
2	24	12
3	48	12
4	63	12
5	68	12
6	68	12

prune1.0ms (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

2.8b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	2.8b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

Compiler

Compiled 33 to 21 computations (36.4% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (sin.f64 y) y)
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
✓	2.8b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

series45.0ms (1%)

Counts

3 → 64

Calls

3 calls:

28.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
14.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
3.0ms	(/.f64 (sin.f64 y) y)

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64`
22×	`times-frac_binary64`
21×	`*-un-lft-identity_binary64`
21×	`add-cube-cbrt_binary64`
19×	`add-cbrt-cube_binary64`

Counts

3 → 89

Calls

3 calls:

5.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
5.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
4.0ms	(/.f64 (sin.f64 y) y)

simplify118.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

611×	`fma-def_binary64`
563×	`associate-/l/_binary64`
381×	`associate-/r*_binary64`
381×	`associate-/r/_binary64`
361×	`fma-neg_binary64`

Counts

153 → 144

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	170	2095
1	408	1905
2	1487	1887
3	3700	1881
4	4743	1881
5	4991	1881
6	4969	1881

prune97.0ms (2.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	137	7	144
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	138	7	145

Error

0.0b

Counts

145 → 7

Alt Table

Status	Error	Program
	33.7b	(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 z)))
	10.4b	(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
	20.5b	(/.f64 (.f64 (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y))) z)
	3.8b	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
	8.3b	(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
	3.1b	(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))
▶	2.9b	(/.f64 (.f64 x (.f64 (sin.f64 y) (/.f64 1 y))) z)

Compiler

Compiled 2243 to 744 computations (66.8% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
✓	0.2b	(*.f64 (sin.f64 y) (/.f64 1 y))
✓	2.8b	(/.f64 (.f64 x (.f64 (sin.f64 y) (/.f64 1 y))) z)

series44.0ms (1%)

Counts

3 → 72

Calls

3 calls:

28.0ms	(/.f64 (.f64 x (.f64 (sin.f64 y) (/.f64 1 y))) z)
12.0ms	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
3.0ms	(*.f64 (sin.f64 y) (/.f64 1 y))

rewrite25.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-exp-log_binary64`
31×	`add-cbrt-cube_binary64`
22×	`prod-exp_binary64`
21×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`

Counts

3 → 95

Calls

3 calls:

7.0ms	(*.f64 (sin.f64 y) (/.f64 1 y))
7.0ms	(/.f64 (.f64 x (.f64 (sin.f64 y) (/.f64 1 y))) z)
6.0ms	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))

simplify105.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

526×	`associate-/r*_binary64`
479×	`fma-def_binary64`
472×	`associate-*l/_binary64`
439×	`associate-*r/_binary64`
327×	`associate-/l/_binary64`

Counts

167 → 164

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	170	2130
1	411	1865
2	1366	1847
3	4260	1843
4	4955	1843
5	4972	1843

prune197.0ms (4.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	163	1	164
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	164	7	171

Error

Counts

171 → 7

Alt Table

Status	Error	Program
	33.7b	(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 z)))
	10.4b	(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
	20.5b	(/.f64 (.f64 (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y))) z)
	8.3b	(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
▶	3.1b	(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))
	3.8b	(/.f64 x (/.f64 z (*.f64 (sin.f64 y) (/.f64 1 y))))
✓	2.9b	(/.f64 (.f64 x (.f64 (sin.f64 y) (/.f64 1 y))) z)

Compiler

Compiled 2691 to 1269 computations (52.8% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (sin.f64 y) y)
	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
✓	0.6b	(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))
✓	2.6b	(/.f64 z (*.f64 x (/.f64 (sin.f64 y) y)))

series69.0ms (1.5%)

Counts

2 → 72

Calls

2 calls:

39.0ms	(/.f64 z (*.f64 x (/.f64 (sin.f64 y) y)))
29.0ms	(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))

rewrite36.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`add-exp-log_binary64`
39×	`times-frac_binary64`
25×	`add-cbrt-cube_binary64`
24×	`div-exp_binary64`
21×	`*-un-lft-identity_binary64`

Counts

2 → 92

Calls

2 calls:

7.0ms	(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))
5.0ms	(/.f64 z (*.f64 x (/.f64 (sin.f64 y) y)))

simplify96.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

717×	`associate-/l*_binary64`
592×	`associate-/r/_binary64`
585×	`associate-/r*_binary64`
478×	`associate-*l/_binary64`
386×	`associate-/l/_binary64`

Counts

164 → 141

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	155	2773
1	352	2413
2	1237	2380
3	4494	2380
4	4983	2380

prune148.0ms (3.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	236	1	237
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	237	7	244

Error

Counts

244 → 7

Alt Table

Status	Error	Program
	20.5b	(/.f64 (.f64 (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y))) z)
	11.4b	(/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y)
	8.3b	(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
✓	3.1b	(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))
	10.4b	(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
▶	3.8b	(/.f64 x (/.f64 z (*.f64 (sin.f64 y) (/.f64 1 y))))
✓	2.9b	(/.f64 (.f64 x (.f64 (sin.f64 y) (/.f64 1 y))) z)

Compiler

Compiled 4125 to 1497 computations (63.7% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 z (*.f64 (sin.f64 y) (/.f64 1 y)))
	0.2b	(*.f64 (sin.f64 y) (/.f64 1 y))
✓	3.8b	(/.f64 x (/.f64 z (*.f64 (sin.f64 y) (/.f64 1 y))))

series81.0ms (1.8%)

Counts

2 → 60

Calls

2 calls:

62.0ms	(/.f64 x (/.f64 z (*.f64 (sin.f64 y) (/.f64 1 y))))
20.0ms	(/.f64 z (*.f64 (sin.f64 y) (/.f64 1 y)))

rewrite19.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`times-frac_binary64`
39×	`add-exp-log_binary64`
25×	`add-cbrt-cube_binary64`
22×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`

Counts

2 → 91

Calls

2 calls:

7.0ms	(/.f64 x (/.f64 z (*.f64 (sin.f64 y) (/.f64 1 y))))
6.0ms	(/.f64 z (*.f64 (sin.f64 y) (/.f64 1 y)))

simplify93.0ms (2%)

Algorithm

1×	egg-herbie

Rules

664×	`associate-/r*_binary64`
643×	`associate-/r/_binary64`
631×	`associate-/l*_binary64`
515×	`associate-/l/_binary64`
442×	`associate-*l/_binary64`

Counts

151 → 161

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	198	2418
1	459	2155
2	1451	2142
3	4453	2141
4	4973	2141

prune149.0ms (3.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	223	1	224
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	224	7	231

Error

Counts

231 → 7

Alt Table

Status	Error	Program
	20.5b	(/.f64 (.f64 (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y))) z)
	6.6b	(/.f64 x (/.f64 (*.f64 y z) (sin.f64 y)))
	11.4b	(/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y)
	8.3b	(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
✓	3.1b	(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))
✓	3.8b	(/.f64 x (/.f64 z (*.f64 (sin.f64 y) (/.f64 1 y))))
✓	2.9b	(/.f64 (.f64 x (.f64 (sin.f64 y) (/.f64 1 y))) z)

Compiler

Compiled 3707 to 1606 computations (56.7% saved)

regimes421.0ms (9.2%)

Accuracy

Total 0.4b remaining (94.7%)

Threshold costs 0.4b (94.7%)

Counts

47 → 3

Compiler

Compiled 4163 to 2647 computations (36.4% saved)

bsearch52.0ms (1.1%)

Steps

Iters	Range		Point
4	6.998817462902143e+87	6.129093160943747e+90	1.0887023641980812e+88
8	-1.215645876558092e-32	-2.7710766108417417e-36	-1.2010439549112087e-32

Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`
1×	`if-if-or-not_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	38
1	22	38
2	22	38

end84.0ms (1.8%)

Compiler: Compiled 146 to 91 computations (37.7% saved)

Details

analyze569.0ms (12.4%)

sample2.1s (45.2%)

simplify9.0ms (0.2%)

prune1.0ms (0%)

localize6.0ms (0.1%)

series45.0ms (1%)

rewrite18.0ms (0.4%)

simplify118.0ms (2.6%)

prune97.0ms (2.1%)

localize9.0ms (0.2%)

series44.0ms (1%)

rewrite25.0ms (0.6%)

simplify105.0ms (2.3%)

prune197.0ms (4.3%)

localize8.0ms (0.2%)

series69.0ms (1.5%)

rewrite36.0ms (0.8%)

simplify96.0ms (2.1%)

prune148.0ms (3.2%)

localize8.0ms (0.2%)

series81.0ms (1.8%)

rewrite19.0ms (0.4%)

simplify93.0ms (2%)

prune149.0ms (3.3%)

regimes421.0ms (9.2%)

bsearch52.0ms (1.1%)

simplify3.0ms (0.1%)

end84.0ms (1.8%)

Profiling