Details

analyze84.0ms (1.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	12.5%	87.5%	0
0%	12.5%	87.5%	1
0%	12.5%	87.5%	2
3.1%	9.3%	87.5%	3
3.1%	6.2%	90.7%	4
4.7%	4.7%	90.7%	5
4.7%	3.5%	91.8%	6
5.6%	2.5%	91.8%	7
5.9%	1.8%	92.3%	8
6.4%	1.3%	92.3%	9
6.6%	0.9%	92.5%	10
6.8%	0.6%	92.5%	11
6.9%	0.5%	92.6%	12
7%	0.3%	92.6%	13
7.1%	0.2%	92.7%	14

Compiler

Compiled 26 to 19 computations (26.9% saved)

sample1.1s (19.7%)

Results

953.0ms	8256×	body	128	valid
7.0ms	61×	body	128	invalid

Compiler

Compiled 67 to 49 computations (26.9% saved)

simplify120.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1247×	`unsub-neg_binary64`
616×	`neg-sub0_binary64`
571×	`neg-mul-1_binary64`
560×	`fma-neg_binary64`
452×	`sub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	20	19
2	46	17
3	116	17
4	358	17
5	1331	17
6	3463	17
7	3625	17
8	4293	17
9	4678	17
10	4650	17
11	4895	17
12	4905	17

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
	0.2b	(*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))

Compiler

Compiled 85 to 61 computations (28.2% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
✓	0.0b	(*.f64 m (-.f64 1 m))
✓	0.0b	(/.f64 (*.f64 m (-.f64 1 m)) v)
✓	0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))

series31.0ms (0.6%)

Counts

4 → 80

Calls

4 calls:

11.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
9.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
8.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
3.0ms	(*.f64 m (-.f64 1 m))

rewrite46.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

72×	`add-sqr-sqrt_binary64`
66×	`*-un-lft-identity_binary64`
57×	`prod-diff_binary64`
54×	`add-cube-cbrt_binary64`
26×	`distribute-lft-in_binary64`

Counts

4 → 188

Calls

4 calls:

12.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
10.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
6.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
6.0ms	(*.f64 m (-.f64 1 m))

simplify138.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

359×	`associate-/l/_binary64`
345×	`associate-/r*_binary64`
257×	`associate-/r/_binary64`
250×	`associate-l_binary64`
225×	`exp-prod_binary64`

Counts

268 → 295

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	238	4962
1	502	4321
2	2059	4004
3	4566	3999
4	5030	3999

prune354.0ms (6.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	289	6	295
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	291	6	297

Error

Counts

297 → 6

Alt Table

Status	Error	Program
	4.3b	(/.f64 (.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (-.f64 1 (pow.f64 m 3))) (+.f64 (.f64 1 1) (+.f64 (.f64 m m) (.f64 1 m))))
▶	0.1b	(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
	0.1b	(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 1 m)) v) 1) (-.f64 1 m))
	0.1b	(+.f64 (.f64 1 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1)) (.f64 (neg.f64 m) (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1)))
	0.7b	(.f64 (.f64 (cbrt.f64 (.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) (cbrt.f64 (.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))) (cbrt.f64 (*.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))
	0.2b	(.f64 (.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (+.f64 1 (sqrt.f64 m))) (-.f64 1 (sqrt.f64 m)))

Compiler

Compiled 7386 to 4705 computations (36.3% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 m v) m)
✓	0.0b	(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
✓	8.4b	(/.f64 (pow.f64 m 3) v)
✓	14.8b	(/.f64 (pow.f64 m 2) v)

series44.0ms (0.8%)

Counts

4 → 27

Calls

4 calls:

15.0ms	(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
13.0ms	(/.f64 (pow.f64 m 3) v)
9.0ms	(/.f64 (pow.f64 m 2) v)
6.0ms	(+.f64 (/.f64 m v) m)

rewrite49.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

94×	`*-un-lft-identity_binary64`
69×	`times-frac_binary64`
65×	`add-sqr-sqrt_binary64`
63×	`add-cube-cbrt_binary64`
27×	`add-log-exp_binary64`

Counts

4 → 200

Calls

4 calls:

21.0ms	(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
7.0ms	(+.f64 (/.f64 m v) m)
4.0ms	(/.f64 (pow.f64 m 2) v)
4.0ms	(/.f64 (pow.f64 m 3) v)

simplify247.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

663×	`fma-neg_binary64`
450×	`unswap-sqr_binary64`
227×	`distribute-rgt-in_binary64`
224×	`associate-l_binary64`
223×	`associate-r_binary64`

Counts

227 → 268

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	326	6089
1	815	4598
2	3507	4321
3	4480	4319
4	5001	4319

prune368.0ms (6.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	267	1	268
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	269	5	274

Error

Counts

274 → 5

Alt Table

Status	Error	Program
	0.1b	(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 1 m)) v) 1) (-.f64 1 m))
	0.1b	(+.f64 (.f64 1 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1)) (.f64 (neg.f64 m) (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1)))
▶	0.1b	(-.f64 (+.f64 (/.f64 1 (/.f64 v (pow.f64 m 3))) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
	0.7b	(.f64 (.f64 (cbrt.f64 (.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) (cbrt.f64 (.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))) (cbrt.f64 (*.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))
	4.3b	(/.f64 (.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (-.f64 1 (pow.f64 m 3))) (+.f64 (.f64 1 1) (+.f64 (.f64 m m) (.f64 1 m))))

Compiler

Compiled 9588 to 5287 computations (44.9% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 (/.f64 1 (/.f64 v (pow.f64 m 3))) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
✓	0.7b	(/.f64 1 (/.f64 v (pow.f64 m 3)))
✓	7.9b	(/.f64 v (pow.f64 m 3))
	14.8b	(/.f64 (pow.f64 m 2) v)

series55.0ms (1%)

Counts

3 → 48

Calls

3 calls:

25.0ms	(/.f64 v (pow.f64 m 3))
17.0ms	(-.f64 (+.f64 (/.f64 1 (/.f64 v (pow.f64 m 3))) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
12.0ms	(/.f64 1 (/.f64 v (pow.f64 m 3)))

rewrite89.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

300×	`times-frac_binary64`
215×	`*-un-lft-identity_binary64`
171×	`add-sqr-sqrt_binary64`
169×	`add-cube-cbrt_binary64`
52×	`associate-/r*_binary64`

Counts

3 → 324

Calls

3 calls:

43.0ms	(-.f64 (+.f64 (/.f64 1 (/.f64 v (pow.f64 m 3))) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
10.0ms	(/.f64 1 (/.f64 v (pow.f64 m 3)))
4.0ms	(/.f64 v (pow.f64 m 3))

simplify217.0ms (4%)

Algorithm

1×	egg-herbie

Rules

614×	`fma-neg_binary64`
255×	`associate-r_binary64`
227×	`distribute-rgt-in_binary64`
215×	`distribute-lft-in_binary64`
202×	`associate-l_binary64`

Counts

372 → 354

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	323	8650
1	829	7317
2	3698	6902
3	4659	6900
4	4899	6900

prune595.0ms (10.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	428	0	428
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	428	5	433

Error

Counts

433 → 5

Alt Table

Status	Error	Program
	0.1b	(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 1 m)) v) 1) (-.f64 1 m))
▶	0.1b	(+.f64 (.f64 1 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1)) (.f64 (neg.f64 m) (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1)))
✓	0.1b	(-.f64 (+.f64 (/.f64 1 (/.f64 v (pow.f64 m 3))) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
	0.7b	(.f64 (.f64 (cbrt.f64 (.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) (cbrt.f64 (.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))) (cbrt.f64 (*.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))
	4.3b	(/.f64 (.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (-.f64 1 (pow.f64 m 3))) (+.f64 (.f64 1 1) (+.f64 (.f64 m m) (.f64 1 m))))

Compiler

Compiled 15621 to 9118 computations (41.6% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 m (-.f64 1 m))
✓	0.0b	(+.f64 (.f64 1 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1)) (.f64 (neg.f64 m) (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1)))
	0.0b	(/.f64 (*.f64 m (-.f64 1 m)) v)
✓	0.2b	(.f64 (neg.f64 m) (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1))

series31.0ms (0.6%)

Counts

2 → 48

Calls

2 calls:

16.0ms	(+.f64 (.f64 1 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1)) (.f64 (neg.f64 m) (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1)))
14.0ms	(.f64 (neg.f64 m) (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1))

rewrite60.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

126×	`prod-diff_binary64`
96×	`add-sqr-sqrt_binary64`
93×	`*-un-lft-identity_binary64`
90×	`add-cube-cbrt_binary64`
75×	`distribute-lft-in_binary64`

Counts

2 → 204

Calls

2 calls:

19.0ms	(+.f64 (.f64 1 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1)) (.f64 (neg.f64 m) (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1)))
11.0ms	(.f64 (neg.f64 m) (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1))

simplify167.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

809×	`distribute-rgt-in_binary64`
703×	`fma-neg_binary64`
202×	`distribute-lft-neg-out_binary64`
190×	`distribute-rgt-neg-out_binary64`
165×	`associate-r_binary64`

Counts

252 → 338

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	199	7327
1	542	5242
2	1789	5116
3	4738	5077
4	5195	5077

prune815.0ms (14.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	576	0	576
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	576	5	581

Error

Counts

581 → 5

Alt Table

Status	Error	Program
	0.1b	(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 1 m)) v) 1) (-.f64 1 m))
✓	0.1b	(+.f64 (.f64 1 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1)) (.f64 (neg.f64 m) (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1)))
✓	0.1b	(-.f64 (+.f64 (/.f64 1 (/.f64 v (pow.f64 m 3))) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
	0.7b	(.f64 (.f64 (cbrt.f64 (.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) (cbrt.f64 (.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))) (cbrt.f64 (*.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))
	4.3b	(/.f64 (.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (-.f64 1 (pow.f64 m 3))) (+.f64 (.f64 1 1) (+.f64 (.f64 m m) (.f64 1 m))))

Compiler

Compiled 20994 to 13972 computations (33.4% saved)

regimes726.0ms (13.3%)

Accuracy

Total 0.1b remaining (78.3%)

Threshold costs 0.1b (78.3%)

Counts

237 → 1

Compiler

Compiled 15105 to 10793 computations (28.5% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	21	29
2	25	29
3	27	29
4	28	29
5	27	29

end108.0ms (2%)

Compiler: Compiled 185 to 129 computations (30.3% saved)

Details

analyze84.0ms (1.5%)

sample1.1s (19.7%)

simplify120.0ms (2.2%)

prune4.0ms (0.1%)

localize7.0ms (0.1%)

series31.0ms (0.6%)

rewrite46.0ms (0.8%)

simplify138.0ms (2.5%)

prune354.0ms (6.5%)

localize12.0ms (0.2%)

series44.0ms (0.8%)

rewrite49.0ms (0.9%)

simplify247.0ms (4.5%)

prune368.0ms (6.7%)

localize13.0ms (0.2%)

series55.0ms (1%)

rewrite89.0ms (1.6%)

simplify217.0ms (4%)

prune595.0ms (10.9%)

localize9.0ms (0.2%)

series31.0ms (0.6%)

rewrite60.0ms (1.1%)

simplify167.0ms (3.1%)

prune815.0ms (14.9%)

regimes726.0ms (13.3%)

simplify2.0ms (0%)

end108.0ms (2%)

Profiling