Details

analyze172.0ms (4.7%)

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
49.9%	49.9%	0.2%	5
49.9%	49.9%	0.2%	6
49.9%	49.9%	0.2%	7
49.9%	49.9%	0.2%	8
74.9%	25%	0.2%	9
74.9%	25%	0.2%	10
74.9%	25%	0.2%	11
74.9%	25%	0.2%	12
87.3%	12.5%	0.2%	13
87.3%	12.5%	0.2%	14

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample801.0ms (21.7%)

Infinites

8% of outputs are infinite.

Results

675.0ms

8256×

body

128

valid

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify115.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1630×	`fma-neg_binary64`
896×	`div-sub_binary64`
582×	`times-frac_binary64`
579×	`fma-def_binary64`
367×	`sub-neg_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	15	13
2	34	13
3	74	13
4	145	13
5	245	13
6	572	13
7	1407	13
8	2937	13
9	2993	13
10	3292	13
11	3338	13
12	3355	13
13	3404	13
14	4948	13

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

11.8b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	11.8b	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))

Compiler

Compiled 39 to 24 computations (38.5% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (-.f64 y z))
✓	11.8b	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))

series39.0ms (1%)

Counts

2 → 84

Calls

2 calls:

32.0ms	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))
6.0ms	(*.f64 x (-.f64 y z))

rewrite19.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
26×	`*-un-lft-identity_binary64`
20×	`add-cube-cbrt_binary64`
18×	`prod-diff_binary64`
13×	`distribute-lft-in_binary64`

Counts

2 → 81

Calls

2 calls:

9.0ms	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))
5.0ms	(*.f64 x (-.f64 y z))

simplify94.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

526×	`cancel-sign-sub-inv_binary64`
513×	`fma-neg_binary64`
365×	`div-sub_binary64`
202×	`associate-/l*_binary64`
196×	`sub-neg_binary64`

Counts

165 → 145

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	244	2954
1	576	2753
2	2576	2555
3	4147	2552
4	5042	2552

prune94.0ms (2.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	139	6	145
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	139	7	146

Error

0.0b

Counts

146 → 7

Alt Table

Status	Error	Program
✓	11.8b	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))
	12.5b	(.f64 (.f64 (cbrt.f64 (/.f64 (.f64 x (-.f64 y z)) (-.f64 t z))) (cbrt.f64 (/.f64 (.f64 x (-.f64 y z)) (-.f64 t z)))) (cbrt.f64 (/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))))
	36.4b	(-.f64 (+.f64 x (/.f64 (.f64 x t) z)) (.f64 (/.f64 x z) (+.f64 y (/.f64 (*.f64 y t) z))))
	3.1b	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
	34.9b	(*.f64 (/.f64 x (sqrt.f64 (-.f64 t z))) (/.f64 (-.f64 y z) (sqrt.f64 (-.f64 t z))))
	12.6b	(/.f64 (/.f64 (.f64 x (-.f64 y z)) (.f64 (cbrt.f64 (-.f64 t z)) (cbrt.f64 (-.f64 t z)))) (cbrt.f64 (-.f64 t z)))
▶	3.0b	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))

Compiler

Compiled 3316 to 980 computations (70.4% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 t z) (-.f64 y z))
✓	3.0b	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))

series55.0ms (1.5%)

Counts

2 → 84

Calls

2 calls:

32.0ms	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))
22.0ms	(/.f64 (-.f64 t z) (-.f64 y z))

rewrite46.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 198

Calls

2 calls:

12.0ms	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))
9.0ms	(/.f64 (-.f64 t z) (-.f64 y z))

simplify166.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

562×	`cancel-sign-sub-inv_binary64`
374×	`sub-neg_binary64`
271×	`associate-/r/_binary64`
224×	`fma-neg_binary64`
198×	`associate-/l/_binary64`

Counts

282 → 300

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	408	7629
1	1057	7410
2	3983	7368
3	5298	7368

prune152.0ms (4.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	297	3	300
Fresh	4	1	5
Picked	0	1	1
Done	0	1	1
Total	301	6	307

Error

Counts

307 → 6

Alt Table

Status	Error	Program
	3.2b	(/.f64 x (/.f64 1 (/.f64 (-.f64 y z) (-.f64 t z))))
✓	11.8b	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))
▶	3.1b	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
	9.3b	(/.f64 (/.f64 x (-.f64 t z)) (/.f64 1 (-.f64 y z)))
	9.3b	(*.f64 (/.f64 x (-.f64 t z)) (-.f64 y z))
✓	3.0b	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))

Compiler

Compiled 7192 to 1681 computations (76.6% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 y z) (-.f64 t z))
✓	3.0b	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))

series54.0ms (1.4%)

Counts

2 → 84

Calls

2 calls:

32.0ms	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
21.0ms	(/.f64 (-.f64 y z) (-.f64 t z))

rewrite26.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64`
70×	`*-un-lft-identity_binary64`
51×	`times-frac_binary64`
31×	`associate-r_binary64`
26×	`add-cube-cbrt_binary64`

Counts

2 → 106

Calls

2 calls:

10.0ms	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
6.0ms	(/.f64 (-.f64 y z) (-.f64 t z))

simplify99.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

906×	`fma-def_binary64`
511×	`cancel-sign-sub-inv_binary64`
372×	`sub-neg_binary64`
220×	`fma-neg_binary64`
164×	`associate-/l*_binary64`

Counts

190 → 181

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	283	4489
1	786	4288
2	2972	4076
3	5031	4076

prune109.0ms (2.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	181	0	181
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	181	6	187

Error

Counts

187 → 6

Alt Table

Status	Error	Program
▶	3.2b	(/.f64 x (/.f64 1 (/.f64 (-.f64 y z) (-.f64 t z))))
✓	11.8b	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))
✓	3.1b	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
	9.3b	(/.f64 (/.f64 x (-.f64 t z)) (/.f64 1 (-.f64 y z)))
	9.3b	(*.f64 (/.f64 x (-.f64 t z)) (-.f64 y z))
✓	3.0b	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))

Compiler

Compiled 4183 to 1224 computations (70.7% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (-.f64 y z) (-.f64 t z))
✓	0.4b	(/.f64 1 (/.f64 (-.f64 y z) (-.f64 t z)))
✓	3.0b	(/.f64 x (/.f64 1 (/.f64 (-.f64 y z) (-.f64 t z))))

series55.0ms (1.5%)

Counts

2 → 84

Calls

2 calls:

33.0ms	(/.f64 x (/.f64 1 (/.f64 (-.f64 y z) (-.f64 t z))))
21.0ms	(/.f64 1 (/.f64 (-.f64 y z) (-.f64 t z)))

rewrite140.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Rules

1159×	`times-frac_binary64`
757×	`*-un-lft-identity_binary64`
757×	`add-sqr-sqrt_binary64`
437×	`add-cube-cbrt_binary64`
160×	`distribute-lft-out--_binary64`

Counts

2 → 568

Calls

2 calls:

20.0ms	(/.f64 x (/.f64 1 (/.f64 (-.f64 y z) (-.f64 t z))))
11.0ms	(/.f64 1 (/.f64 (-.f64 y z) (-.f64 t z)))

simplify371.0ms (10%)

Algorithm

1×	egg-herbie

Rules

884×	`fma-def_binary64`
359×	`associate-/r/_binary64`
227×	`fma-neg_binary64`
223×	`associate-/l*_binary64`
222×	`*-commutative_binary64`

Counts

652 → 675

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	470	18262
1	1139	17362
2	4275	17198
3	5292	17198

prune389.0ms (10.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	759	0	759
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	759	6	765

Error

Counts

765 → 6

Alt Table

Status	Error	Program
✓	3.2b	(/.f64 x (/.f64 1 (/.f64 (-.f64 y z) (-.f64 t z))))
✓	11.8b	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))
✓	3.1b	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
	9.3b	(/.f64 (/.f64 x (-.f64 t z)) (/.f64 1 (-.f64 y z)))
	9.3b	(*.f64 (/.f64 x (-.f64 t z)) (-.f64 y z))
✓	3.0b	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))

Compiler

Compiled 20212 to 6205 computations (69.3% saved)

regimes590.0ms (16%)

Accuracy

Total 1.3b remaining (98.9%)

Threshold costs 0b (0%)

Counts

86 → 3

Compiler

Compiled 7600 to 4424 computations (41.8% saved)

bsearch2.0ms (0.1%)

Compiler: Compiled 13 to 8 computations (38.5% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
6×	`+-commutative_binary64`
5×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	80
1	39	80
2	46	78
3	52	78
4	57	78
5	60	78
6	61	78
7	59	78

end75.0ms (2%)

Compiler: Compiled 196 to 96 computations (51% saved)

Details

analyze172.0ms (4.7%)

sample801.0ms (21.7%)

simplify115.0ms (3.1%)

prune1.0ms (0%)

localize6.0ms (0.2%)

series39.0ms (1%)

rewrite19.0ms (0.5%)

simplify94.0ms (2.6%)

prune94.0ms (2.5%)

localize6.0ms (0.2%)

series55.0ms (1.5%)

rewrite46.0ms (1.2%)

simplify166.0ms (4.5%)

prune152.0ms (4.1%)

localize6.0ms (0.2%)

series54.0ms (1.4%)

rewrite26.0ms (0.7%)

simplify99.0ms (2.7%)

prune109.0ms (2.9%)

localize8.0ms (0.2%)

series55.0ms (1.5%)

rewrite140.0ms (3.8%)

simplify371.0ms (10%)

prune389.0ms (10.5%)

regimes590.0ms (16%)

bsearch2.0ms (0.1%)

simplify5.0ms (0.1%)

end75.0ms (2%)

Profiling