Details

analyze1.5s (29.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
7.8%	92%	0.2%	11
11.7%	88.1%	0.2%	12
17.9%	81.8%	0.2%	13
22.6%	77.2%	0.2%	14

Compiler

Compiled 19 to 14 computations (26.3% saved)

sample1.2s (25.2%)

Results

1.0s	8098×	body	128	valid
88.0ms	692×	body	128	invalid
22.0ms	53×	body	1024	valid
20.0ms	46×	body	2048	valid
10.0ms	33×	body	512	valid
8.0ms	26×	body	256	valid

Compiler

Compiled 56 to 41 computations (26.8% saved)

simplify116.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1714×	`fma-neg_binary64`
791×	`div-sub_binary64`
702×	`fma-def_binary64`
633×	`distribute-rgt-in_binary64`
427×	`times-frac_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	19
1	23	17
2	46	17
3	90	17
4	173	17
5	320	17
6	671	17
7	1532	17
8	2980	17
9	3024	17
10	3167	17
11	3232	17
12	3299	17
13	3318	17
14	5334	17

prune3.0ms (0.1%)

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

0.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.1b	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))

Compiler

Compiled 64 to 42 computations (34.4% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))
✓	0.0b	(*.f64 60 (-.f64 x y))
✓	0.2b	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))

series80.0ms (1.6%)

Counts

3 → 132

Calls

3 calls:

41.0ms	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))
36.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
3.0ms	(*.f64 60 (-.f64 x y))

rewrite17.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64`
27×	`*-un-lft-identity_binary64`
21×	`add-cube-cbrt_binary64`
18×	`prod-diff_binary64`
13×	`distribute-lft-in_binary64`

Counts

3 → 91

Calls

3 calls:

7.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
5.0ms	(*.f64 60 (-.f64 x y))
0.0ms	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))

simplify116.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

742×	`cancel-sign-sub-inv_binary64`
331×	`sub-neg_binary64`
233×	`fma-neg_binary64`
229×	`fma-def_binary64`
197×	`associate-/l*_binary64`

Counts

223 → 163

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	319	4894
1	845	4557
2	3320	4449
3	5001	4449

prune164.0ms (3.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	158	5	163
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	158	6	164

Error

Counts

164 → 6

Alt Table

Status	Error	Program
	0.6b	(fma.f64 a 120 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t))) (cbrt.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)))) (cbrt.f64 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))))
	23.5b	(fma.f64 a 120 (*.f64 -60 (/.f64 (-.f64 x y) t)))
✓	0.1b	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))
▶	0.1b	(fma.f64 a 120 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))))
	28.0b	(fma.f64 a 120 (/.f64 (.f64 60 (-.f64 (.f64 x x) (.f64 y y))) (.f64 (-.f64 z t) (+.f64 x y))))
	0.6b	(fma.f64 a 120 (.f64 (/.f64 60 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (/.f64 (-.f64 x y) (cbrt.f64 (-.f64 z t)))))

Compiler

Compiled 4464 to 2138 computations (52.1% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 a 120 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))))
✓	0.0b	(/.f64 (-.f64 z t) (-.f64 x y))
✓	0.5b	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))

series101.0ms (2%)

Counts

3 → 156

Calls

3 calls:

39.0ms	(fma.f64 a 120 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))))
35.0ms	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))
27.0ms	(/.f64 (-.f64 z t) (-.f64 x y))

rewrite36.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64`
195×	`*-un-lft-identity_binary64`
195×	`add-sqr-sqrt_binary64`
91×	`add-cube-cbrt_binary64`
52×	`distribute-lft-out--_binary64`

Counts

3 → 208

Calls

3 calls:

8.0ms	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))
6.0ms	(/.f64 (-.f64 z t) (-.f64 x y))
0.0ms	(fma.f64 a 120 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))))

simplify213.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

273×	`fma-neg_binary64`
253×	`associate-/r/_binary64`
228×	`fma-def_binary64`
220×	`*-commutative_binary64`
191×	`+-commutative_binary64`

Counts

364 → 308

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	477	10058
1	1305	9703
2	4771	9703
3	5001	9703

prune198.0ms (4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	307	1	308
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	310	4	314

Error

Counts

314 → 4

Alt Table

Status	Error	Program
	23.5b	(fma.f64 a 120 (*.f64 -60 (/.f64 (-.f64 x y) t)))
✓	0.1b	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))
✓	0.1b	(fma.f64 a 120 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))))
▶	0.1b	(fma.f64 a 120 (*.f64 (-.f64 x y) (/.f64 60 (-.f64 z t))))

Compiler

Compiled 8297 to 3379 computations (59.3% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 a 120 (*.f64 (-.f64 x y) (/.f64 60 (-.f64 z t))))
✓	0.2b	(*.f64 (-.f64 x y) (/.f64 60 (-.f64 z t)))

series72.0ms (1.4%)

Counts

2 → 108

Calls

2 calls:

37.0ms	(fma.f64 a 120 (*.f64 (-.f64 x y) (/.f64 60 (-.f64 z t))))
35.0ms	(*.f64 (-.f64 x y) (/.f64 60 (-.f64 z t)))

rewrite14.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
21×	`associate-r_binary64`
20×	`*-un-lft-identity_binary64`
16×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`

Counts

2 → 58

Calls

2 calls:

9.0ms	(*.f64 (-.f64 x y) (/.f64 60 (-.f64 z t)))
0.0ms	(fma.f64 a 120 (*.f64 (-.f64 x y) (/.f64 60 (-.f64 z t))))

simplify96.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

826×	`times-frac_binary64`
668×	`cancel-sign-sub-inv_binary64`
304×	`sub-neg_binary64`
215×	`fma-neg_binary64`
213×	`fma-def_binary64`

Counts

166 → 121

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	259	4722
1	775	4445
2	2948	4169
3	5145	4169

prune91.0ms (1.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	121	4	125

Error

Counts

125 → 4

Alt Table

Status	Error	Program
▶	23.5b	(fma.f64 a 120 (*.f64 -60 (/.f64 (-.f64 x y) t)))
✓	0.1b	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))
✓	0.1b	(fma.f64 a 120 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))))
✓	0.1b	(fma.f64 a 120 (*.f64 (-.f64 x y) (/.f64 60 (-.f64 z t))))

Compiler

Compiled 3341 to 1676 computations (49.8% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 a 120 (*.f64 -60 (/.f64 (-.f64 x y) t)))
✓	0.0b	(/.f64 (-.f64 x y) t)
✓	0.2b	(*.f64 -60 (/.f64 (-.f64 x y) t))

series40.0ms (0.8%)

Counts

3 → 108

Calls

3 calls:

19.0ms	(fma.f64 a 120 (*.f64 -60 (/.f64 (-.f64 x y) t)))
13.0ms	(*.f64 -60 (/.f64 (-.f64 x y) t))
9.0ms	(/.f64 (-.f64 x y) t)

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`add-sqr-sqrt_binary64`
37×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
19×	`associate-r_binary64`

Counts

3 → 90

Calls

3 calls:

7.0ms	(*.f64 -60 (/.f64 (-.f64 x y) t))
4.0ms	(/.f64 (-.f64 x y) t)
0.0ms	(fma.f64 a 120 (*.f64 -60 (/.f64 (-.f64 x y) t)))

simplify109.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

755×	`fma-def_binary64`
440×	`distribute-rgt-neg-out_binary64`
300×	`div-sub_binary64`
234×	`associate-*l/_binary64`
226×	`associate-*r/_binary64`

Counts

198 → 133

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	151	2494
1	348	2305
2	878	2305
3	2599	2305
4	4885	2305
5	4956	2305

prune74.0ms (1.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	133	4	137

Error

Counts

137 → 4

Alt Table

Status	Error	Program
✓	23.5b	(fma.f64 a 120 (*.f64 -60 (/.f64 (-.f64 x y) t)))
✓	0.1b	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))
✓	0.1b	(fma.f64 a 120 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))))
✓	0.1b	(fma.f64 a 120 (*.f64 (-.f64 x y) (/.f64 60 (-.f64 z t))))

Compiler

Compiled 2226 to 976 computations (56.2% saved)

regimes591.0ms (11.9%)

Accuracy

Total 0.1b remaining (85.4%)

Threshold costs 0.1b (85.4%)

Counts

54 → 1

Compiler

Compiled 11962 to 8266 computations (30.9% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	17
1	18	17
2	26	17
3	30	17
4	32	17
5	32	17

end61.0ms (1.2%)

Compiler: Compiled 100 to 71 computations (29% saved)

Details

analyze1.5s (29.4%)

sample1.2s (25.2%)

simplify116.0ms (2.3%)

prune3.0ms (0.1%)

localize9.0ms (0.2%)

series80.0ms (1.6%)

rewrite17.0ms (0.3%)

simplify116.0ms (2.3%)

prune164.0ms (3.3%)

localize10.0ms (0.2%)

series101.0ms (2%)

rewrite36.0ms (0.7%)

simplify213.0ms (4.3%)

prune198.0ms (4%)

localize8.0ms (0.2%)

series72.0ms (1.4%)

rewrite14.0ms (0.3%)

simplify96.0ms (1.9%)

prune91.0ms (1.8%)

localize7.0ms (0.1%)

series40.0ms (0.8%)

rewrite18.0ms (0.4%)

simplify109.0ms (2.2%)

prune74.0ms (1.5%)

regimes591.0ms (11.9%)

simplify3.0ms (0.1%)

end61.0ms (1.2%)

Profiling