Details

analyze917.0ms (15.9%)

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
13.3%	86.5%	0.2%	9
19.9%	79.9%	0.2%	10
22.8%	77%	0.2%	11
25.4%	72.7%	1.9%	12
35.8%	59.6%	4.6%	13
42%	52.3%	5.8%	14

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample1.3s (22.3%)

Results

936.0ms	8256×	body	128	valid
234.0ms	2142×	body	128	invalid

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify71.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

973×	`fma-def_binary64`
752×	`fma-neg_binary64`
239×	`cancel-sign-sub-inv_binary64`
193×	`distribute-rgt-in_binary64`
133×	`distribute-lft-in_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	15	13
2	33	11
3	64	11
4	125	11
5	238	11
6	414	11
7	791	11
8	1182	11
9	1373	11
10	1483	11
11	1532	11
12	1538	11
13	1543	11
14	1543	11
15	1458	11

prune3.0ms (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
▶	1.7b	(fma.f64 (-.f64 y x) (/.f64 z t) x)
	7.6b	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))

Compiler

Compiled 71 to 40 computations (43.7% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.7b	(fma.f64 (-.f64 y x) (/.f64 z t) x)

series16.0ms (0.3%)

Counts

1 → 48

Calls

1 calls:

16.0ms

(fma.f64 (-.f64 y x) (/.f64 z t) x)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma.f64 (-.f64 y x) (/.f64 z t) x)

simplify64.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

539×	`distribute-rgt-neg-out_binary64`
515×	`distribute-lft-neg-out_binary64`
375×	`distribute-rgt-in_binary64`
373×	`distribute-lft-in_binary64`
270×	`times-frac_binary64`

Counts

58 → 31

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	946
1	88	635
2	194	623
3	469	623
4	2305	623
5	4632	623
6	5238	623

prune20.0ms (0.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	28	3	31
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	30	3	33

Error

0.0b

Counts

33 → 3

Alt Table

Status	Error	Program
	7.6b	(-.f64 (+.f64 (/.f64 (.f64 y z) t) x) (/.f64 (.f64 z x) t))
▶	1.7b	(+.f64 (*.f64 (-.f64 y x) (/.f64 z t)) x)
	36.5b	(*.f64 (-.f64 (/.f64 y t) (/.f64 x t)) z)

Compiler

Compiled 440 to 131 computations (70.2% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 (-.f64 y x) (/.f64 z t)) x)
✓	7.1b	(*.f64 (-.f64 y x) (/.f64 z t))

series38.0ms (0.7%)

Counts

2 → 96

Calls

2 calls:

20.0ms	(+.f64 (*.f64 (-.f64 y x) (/.f64 z t)) x)
18.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

rewrite15.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
12×	`*-un-lft-identity_binary64`
10×	`times-frac_binary64`
10×	`add-cube-cbrt_binary64`

Counts

2 → 54

Calls

2 calls:

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

simplify95.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

417×	`associate-l_binary64`
395×	`distribute-rgt-in_binary64`
376×	`distribute-lft-in_binary64`
352×	`associate-r_binary64`
351×	`fma-neg_binary64`

Counts

150 → 98

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	141	2201
1	369	1746
2	1183	1737
3	4199	1737
4	4679	1737
5	5004	1737

prune53.0ms (0.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	96	5	101

Error

0.0b

Counts

101 → 5

Alt Table

Status	Error	Program
▶	1.1b	(+.f64 (.f64 (.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (.f64 (cbrt.f64 t) (cbrt.f64 t)))) (/.f64 (cbrt.f64 z) (cbrt.f64 t))) x)
	36.5b	(*.f64 (-.f64 (/.f64 y t) (/.f64 x t)) z)
	7.6b	(-.f64 (+.f64 (/.f64 (.f64 y z) t) x) (/.f64 (.f64 z x) t))
✓	1.7b	(+.f64 (*.f64 (-.f64 y x) (/.f64 z t)) x)
	28.4b	(+.f64 (.f64 (.f64 (-.f64 y x) (sqrt.f64 (/.f64 z t))) (sqrt.f64 (/.f64 z t))) x)

Compiler

Compiled 1689 to 478 computations (71.7% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(*.f64 (cbrt.f64 t) (cbrt.f64 t))
✓	0.6b	(cbrt.f64 t)
✓	0.6b	(cbrt.f64 z)
✓	2.6b	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))

series975.0ms (16.9%)

Counts

4 → 84

Calls

4 calls:

877.0ms	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))
38.0ms	(*.f64 (cbrt.f64 t) (cbrt.f64 t))
30.0ms	(cbrt.f64 z)
29.0ms	(cbrt.f64 t)

rewrite21.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64`
24×	`add-exp-log_binary64`
22×	`cbrt-prod_binary64`
18×	`*-un-lft-identity_binary64`
16×	`add-cube-cbrt_binary64`

Counts

4 → 106

Calls

4 calls:

10.0ms	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))
4.0ms	(*.f64 (cbrt.f64 t) (cbrt.f64 t))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 t)

simplify131.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

299×	`distribute-rgt-in_binary64`
287×	`distribute-lft-in_binary64`
271×	`fma-neg_binary64`
251×	`unswap-sqr_binary64`
251×	`log-prod_binary64`

Counts

190 → 167

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	207	3686
1	469	2454
2	1827	2264
3	4141	2245
4	4954	2245
5	5045	2245

prune156.0ms (2.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	238	1	239
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	239	5	244

Error

0.0b

Counts

244 → 5

Alt Table

Status	Error	Program
	7.6b	(-.f64 (+.f64 (/.f64 (.f64 y z) t) x) (/.f64 (.f64 z x) t))
▶	1.4b	(+.f64 (.f64 (.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 t)) 5) (cbrt.f64 (cbrt.f64 t))))) (/.f64 (cbrt.f64 z) (cbrt.f64 t))) x)
✓	1.7b	(+.f64 (*.f64 (-.f64 y x) (/.f64 z t)) x)
	36.5b	(*.f64 (-.f64 (/.f64 y t) (/.f64 x t)) z)
	28.4b	(+.f64 (.f64 (.f64 (-.f64 y x) (sqrt.f64 (/.f64 z t))) (sqrt.f64 (/.f64 z t))) x)

Compiler

Compiled 6874 to 1806 computations (73.7% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(cbrt.f64 t)
	0.6b	(cbrt.f64 z)
✓	1.1b	(pow.f64 (cbrt.f64 (cbrt.f64 t)) 5)
✓	2.6b	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 t)) 5) (cbrt.f64 (cbrt.f64 t)))))

series1.3s (22.9%)

Counts

2 → 60

Calls

2 calls:

1.0s	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 t)) 5) (cbrt.f64 (cbrt.f64 t)))))
291.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 t)) 5)

rewrite22.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`add-exp-log_binary64`
19×	`prod-exp_binary64`
14×	`add-cbrt-cube_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64`

Counts

2 → 67

Calls

2 calls:

14.0ms	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 t)) 5) (cbrt.f64 (cbrt.f64 t)))))
2.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 t)) 5)

simplify81.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

831×	`associate-*l/_binary64`
282×	`distribute-rgt-in_binary64`
276×	`distribute-lft-in_binary64`
183×	`associate-/r/_binary64`
181×	`fma-def_binary64`

Counts

127 → 105

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	211	3244
1	527	2613
2	1847	2499
3	5553	2499

prune148.0ms (2.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	213	0	213
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	213	5	218

Error

0.0b

Counts

218 → 5

Alt Table

Status	Error	Program
	7.6b	(-.f64 (+.f64 (/.f64 (.f64 y z) t) x) (/.f64 (.f64 z x) t))
✓	1.4b	(+.f64 (.f64 (.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 t)) 5) (cbrt.f64 (cbrt.f64 t))))) (/.f64 (cbrt.f64 z) (cbrt.f64 t))) x)
✓	1.7b	(+.f64 (*.f64 (-.f64 y x) (/.f64 z t)) x)
	36.5b	(*.f64 (-.f64 (/.f64 y t) (/.f64 x t)) z)
	28.4b	(+.f64 (.f64 (.f64 (-.f64 y x) (sqrt.f64 (/.f64 z t))) (sqrt.f64 (/.f64 z t))) x)

Compiler

Compiled 7020 to 2233 computations (68.2% saved)

regimes218.0ms (3.8%)

Accuracy

Total 0.9b remaining (97%)

Threshold costs 0.9b (97%)

Counts

46 → 1

Compiler

Compiled 4206 to 2633 computations (37.4% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	35
1	21	35
2	26	35
3	28	35
4	29	35
5	29	35

end80.0ms (1.4%)

Compiler: Compiled 145 to 83 computations (42.8% saved)

Details

analyze917.0ms (15.9%)

sample1.3s (22.3%)

simplify71.0ms (1.2%)

prune3.0ms (0.1%)

localize5.0ms (0.1%)

series16.0ms (0.3%)

rewrite1.0ms (0%)

simplify64.0ms (1.1%)

prune20.0ms (0.3%)

localize6.0ms (0.1%)

series38.0ms (0.7%)

rewrite15.0ms (0.3%)

simplify95.0ms (1.6%)

prune53.0ms (0.9%)

localize15.0ms (0.3%)

series975.0ms (16.9%)

rewrite21.0ms (0.4%)

simplify131.0ms (2.3%)

prune156.0ms (2.7%)

localize16.0ms (0.3%)

series1.3s (22.9%)

rewrite22.0ms (0.4%)

simplify81.0ms (1.4%)

prune148.0ms (2.6%)

regimes218.0ms (3.8%)

simplify3.0ms (0.1%)

end80.0ms (1.4%)

Profiling