Details

analyze421.0ms (4.1%)

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%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	62.4%	37.6%	5
0%	56.2%	43.8%	6
6.2%	49.9%	43.8%	7
9.4%	43.7%	47%	8
14%	37.4%	48.5%	9
21.1%	30.4%	48.5%	10
24.6%	26.1%	49.3%	11
28.7%	21.6%	49.7%	12
33.4%	16.9%	49.7%	13
35.8%	14.3%	49.9%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.2s (12%)

Results

1.0s	8256×	body	128	valid
6.0ms	59×	body	128	invalid

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify146.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

3353×	`fma-neg_binary64`
476×	`distribute-rgt-in_binary64`
425×	`unsub-neg_binary64`
361×	`fma-def_binary64`
308×	`distribute-lft-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	16	12
2	36	12
3	76	12
4	131	12
5	231	12
6	342	12
7	678	12
8	1365	12
9	2068	12
10	2356	12
11	2518	12
12	2627	12
13	2660	12
14	2664	12
15	2866	12
16	2767	12
17	2779	12
18	2791	12
19	2799	12
20	2799	12
21	5311	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

0.1b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.1b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)

Compiler

Compiled 33 to 21 computations (36.4% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
✓	0.0b	(-.f64 (*.f64 x (log.f64 y)) z)
✓	0.2b	(*.f64 x (log.f64 y))

series373.0ms (3.6%)

Counts

3 → 96

Calls

3 calls:

209.0ms	(*.f64 x (log.f64 y))
85.0ms	(-.f64 (*.f64 x (log.f64 y)) z)
79.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)

rewrite31.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64`
25×	`associate--l+_binary64`
25×	`*-un-lft-identity_binary64`
23×	`add-cube-cbrt_binary64`
18×	`log-prod_binary64`

Counts

3 → 98

Calls

3 calls:

14.0ms	(*.f64 x (log.f64 y))
7.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
3.0ms	(-.f64 (*.f64 x (log.f64 y)) z)

simplify112.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1055×	`fma-neg_binary64`
315×	`cancel-sign-sub-inv_binary64`
286×	`exp-sum_binary64`
273×	`distribute-rgt-in_binary64`
255×	`distribute-lft-in_binary64`

Counts

194 → 159

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	188	1955
1	363	1912
2	1184	1903
3	2863	1893
4	4373	1893
5	4927	1893

prune108.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	154	5	159
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	154	6	160

Error

0.0b

Counts

160 → 6

Alt Table

Status	Error	Program
	32.6b	(-.f64 (-.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (log.f64 y))) z) y)
	18.5b	(-.f64 (-.f64 (cbrt.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 (log.f64 y) (log.f64 y)) (log.f64 y)))) z) y)
	0.4b	(-.f64 (-.f64 (.f64 (.f64 x (*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))) (cbrt.f64 (log.f64 y))) z) y)
	18.5b	(-.f64 (-.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 3)) z) y)
✓	0.1b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
▶	0.1b	(-.f64 (-.f64 (+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y)))) z) y)

Compiler

Compiled 2643 to 731 computations (72.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 x (log.f64 (cbrt.f64 y)))
✓	0.2b	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
✓	0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
✓	0.6b	(cbrt.f64 y)

series3.1s (30.7%)

Counts

4 → 84

Calls

4 calls:

1.1s	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
1.0s	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
1.0s	(*.f64 x (log.f64 (cbrt.f64 y)))
30.0ms	(cbrt.f64 y)

rewrite22.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`log-prod_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64`
16×	`add-cube-cbrt_binary64`
15×	`cbrt-prod_binary64`

Counts

4 → 94

Calls

4 calls:

8.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
5.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
3.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
1.0ms	(cbrt.f64 y)

simplify106.0ms (1%)

Algorithm

1×	egg-herbie

Rules

731×	`fma-neg_binary64`
502×	`fma-def_binary64`
375×	`*-commutative_binary64`
346×	`cancel-sign-sub-inv_binary64`
279×	`distribute-rgt-neg-in_binary64`

Counts

178 → 155

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	149	2256
1	336	1937
2	1137	1744
3	3238	1736
4	4453	1736
5	4816	1736

prune213.0ms (2.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	169	4	173
Fresh	3	1	4
Picked	1	0	1
Done	1	0	1
Total	174	5	179

Error

Counts

179 → 5

Alt Table

Status	Error	Program
	32.6b	(-.f64 (-.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (log.f64 y))) z) y)
	0.1b	(-.f64 (-.f64 (+.f64 (.f64 x (fma.f64 2/3 (log.f64 y) (.f64 1/6 (log.f64 y)))) (*.f64 x (log.f64 (sqrt.f64 (cbrt.f64 y))))) z) y)
	0.1b	(-.f64 (-.f64 (+.f64 (.f64 x (fma.f64 2/3 (log.f64 y) (log.f64 (cbrt.f64 (pow.f64 y 2/3))))) (.f64 (log.f64 (cbrt.f64 (cbrt.f64 y))) x)) z) y)
▶	0.1b	(-.f64 (-.f64 (+.f64 (+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (.f64 (log.f64 (cbrt.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)))) x)) (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 y))) x)) z) y)
	0.1b	(-.f64 (-.f64 (fma.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2) (.f64 x (log.f64 (cbrt.f64 y)))) z) y)

Compiler

Compiled 4027 to 1696 computations (57.9% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
✓	0.5b	(cbrt.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
✓	0.6b	(cbrt.f64 (cbrt.f64 y))
	0.6b	(cbrt.f64 y)

series670.0ms (6.5%)

Counts

3 → 36

Calls

3 calls:

322.0ms	(cbrt.f64 (cbrt.f64 y))
312.0ms	(cbrt.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
36.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))

rewrite11.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`cbrt-prod_binary64`
21×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64`
13×	`add-cube-cbrt_binary64`
10×	`pow1_binary64`

Counts

3 → 69

Calls

3 calls:

4.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
4.0ms	(cbrt.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
1.0ms	(cbrt.f64 (cbrt.f64 y))

simplify95.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

688×	`log-prod_binary64`
518×	`unswap-sqr_binary64`
511×	`associate-l_binary64`
355×	`sqr-pow_binary64`
327×	`associate-r_binary64`

Counts

105 → 98

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	78	933
1	129	933
2	379	885
3	1413	809
4	2301	781
5	2525	781
6	4672	781
7	4850	781

prune184.0ms (1.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	170	0	170
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	170	5	175

Error

Counts

175 → 5

Alt Table

Status	Error	Program
	32.6b	(-.f64 (-.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (log.f64 y))) z) y)
	0.1b	(-.f64 (-.f64 (+.f64 (.f64 x (fma.f64 2/3 (log.f64 y) (.f64 1/6 (log.f64 y)))) (*.f64 x (log.f64 (sqrt.f64 (cbrt.f64 y))))) z) y)
	0.1b	(-.f64 (-.f64 (+.f64 (.f64 x (fma.f64 2/3 (log.f64 y) (log.f64 (cbrt.f64 (pow.f64 y 2/3))))) (.f64 (log.f64 (cbrt.f64 (cbrt.f64 y))) x)) z) y)
✓	0.1b	(-.f64 (-.f64 (+.f64 (+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (.f64 (log.f64 (cbrt.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)))) x)) (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 y))) x)) z) y)
▶	0.1b	(-.f64 (-.f64 (fma.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2) (.f64 x (log.f64 (cbrt.f64 y)))) z) y)

Compiler

Compiled 5663 to 2168 computations (61.7% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (cbrt.f64 y))
✓	0.2b	(fma.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2) (.f64 x (log.f64 (cbrt.f64 y))))
	0.2b	(*.f64 x (log.f64 (cbrt.f64 y)))
	0.6b	(cbrt.f64 y)

series2.7s (26.1%)

Counts

2 → 36

Calls

2 calls:

2.1s	(fma.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2) (.f64 x (log.f64 (cbrt.f64 y))))
551.0ms	(log.f64 (cbrt.f64 y))

rewrite3.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`log-prod_binary64`
4×	`*-un-lft-identity_binary64`
4×	`add-sqr-sqrt_binary64`
4×	`add-cube-cbrt_binary64`
3×	`cbrt-prod_binary64`

Counts

2 → 28

Calls

2 calls:

1.0ms	(log.f64 (cbrt.f64 y))
0.0ms	(fma.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2) (.f64 x (log.f64 (cbrt.f64 y))))

simplify71.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

435×	`distribute-rgt-in_binary64`
424×	`distribute-lft-in_binary64`
407×	`log-prod_binary64`
230×	`fma-neg_binary64`
226×	`*-commutative_binary64`

Counts

64 → 49

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	811
1	103	681
2	230	519
3	668	507
4	2598	507
5	4622	507
6	5135	507

prune160.0ms (1.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	162	1	163
Fresh	1	2	3
Picked	0	1	1
Done	1	0	1
Total	164	4	168

Error

Counts

168 → 4

Alt Table

Status	Error	Program
	0.2b	(-.f64 (-.f64 (fma.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2) (.f64 (.f64 x (.f64 (cbrt.f64 (log.f64 (cbrt.f64 y))) (cbrt.f64 (log.f64 (cbrt.f64 y))))) (cbrt.f64 (log.f64 (cbrt.f64 y))))) z) y)
	0.1b	(-.f64 (-.f64 (+.f64 (.f64 x (fma.f64 2/3 (log.f64 y) (.f64 1/6 (log.f64 y)))) (*.f64 x (log.f64 (sqrt.f64 (cbrt.f64 y))))) z) y)
	0.1b	(-.f64 (-.f64 (+.f64 (.f64 x (fma.f64 2/3 (log.f64 y) (log.f64 (cbrt.f64 (pow.f64 y 2/3))))) (.f64 (log.f64 (cbrt.f64 (cbrt.f64 y))) x)) z) y)
✓	0.1b	(-.f64 (-.f64 (fma.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2) (.f64 x (log.f64 (cbrt.f64 y)))) z) y)

Compiler

Compiled 3423 to 1356 computations (60.4% saved)

regimes339.0ms (3.3%)

Accuracy

Total 0.1b remaining (77.6%)

Threshold costs 0.1b (77.6%)

Counts

86 → 1

Compiler

Compiled 6926 to 4452 computations (35.7% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	32
1	22	32
2	30	32
3	34	32
4	36	32
5	36	32

end85.0ms (0.8%)

Compiler: Compiled 146 to 93 computations (36.3% saved)

Details

analyze421.0ms (4.1%)

sample1.2s (12%)

simplify146.0ms (1.4%)

prune1.0ms (0%)

localize6.0ms (0.1%)

series373.0ms (3.6%)

rewrite31.0ms (0.3%)

simplify112.0ms (1.1%)

prune108.0ms (1.1%)

localize11.0ms (0.1%)

series3.1s (30.7%)

rewrite22.0ms (0.2%)

simplify106.0ms (1%)

prune213.0ms (2.1%)

localize22.0ms (0.2%)

series670.0ms (6.5%)

rewrite11.0ms (0.1%)

simplify95.0ms (0.9%)

prune184.0ms (1.8%)

localize11.0ms (0.1%)

series2.7s (26.1%)

rewrite3.0ms (0%)

simplify71.0ms (0.7%)

prune160.0ms (1.6%)

regimes339.0ms (3.3%)

simplify2.0ms (0%)

end85.0ms (0.8%)

Profiling