Details

analyze387.0ms (4.8%)

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 (14.2%)

Results

957.0ms	8255×	body	128	valid
6.0ms	62×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify152.0ms (1.9%)

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))

series394.0ms (4.8%)

Counts

3 → 96

Calls

3 calls:

227.0ms	(*.f64 x (log.f64 y))
92.0ms	(-.f64 (*.f64 x (log.f64 y)) z)
74.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)

rewrite27.0ms (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:

12.0ms	(-.f64 (*.f64 x (log.f64 y)) z)
6.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
3.0ms	(*.f64 x (log.f64 y))

simplify109.0ms (1.3%)

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

prune117.0ms (1.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	153	6	159
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	154	6	160

Error

0.0b

Counts

160 → 6

Alt Table

Status	Error	Program
	0.5b	(-.f64 (-.f64 (.f64 (.f64 x (*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))) (cbrt.f64 (log.f64 y))) z) y)
	31.3b	(-.f64 (-.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.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)
	30.4b	(-.f64 (-.f64 (.f64 (sqrt.f64 (.f64 x (log.f64 y))) (sqrt.f64 (*.f64 x (log.f64 y)))) z) y)
	0.4b	(-.f64 (-.f64 (.f64 (.f64 (cbrt.f64 (.f64 x (log.f64 y))) (cbrt.f64 (.f64 x (log.f64 y)))) (cbrt.f64 (*.f64 x (log.f64 y)))) z) y)
▶	0.1b	(-.f64 (fma.f64 x (log.f64 y) (neg.f64 z)) y)

Compiler

Compiled 2666 to 732 computations (72.5% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (fma.f64 x (log.f64 y) (neg.f64 z)) y)
✓	0.1b	(fma.f64 x (log.f64 y) (neg.f64 z))

series179.0ms (2.2%)

Counts

2 → 72

Calls

2 calls:

97.0ms	(fma.f64 x (log.f64 y) (neg.f64 z))
81.0ms	(-.f64 (fma.f64 x (log.f64 y) (neg.f64 z)) y)

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
9×	`prod-diff_binary64`
4×	`add-log-exp_binary64`

Counts

2 → 41

Calls

2 calls:

3.0ms	(-.f64 (fma.f64 x (log.f64 y) (neg.f64 z)) y)
0.0ms	(fma.f64 x (log.f64 y) (neg.f64 z))

simplify84.0ms (1%)

Algorithm

1×	egg-herbie

Rules

402×	`fma-neg_binary64`
386×	`times-frac_binary64`
339×	`fma-def_binary64`
293×	`associate-l_binary64`
231×	`associate-r_binary64`

Counts

113 → 76

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	1294
1	197	1251
2	596	1207
3	2256	1200
4	3988	1200
5	5135	1200

prune48.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	76	6	82

Error

0.0b

Counts

82 → 6

Alt Table

Status	Error	Program
	0.5b	(-.f64 (-.f64 (.f64 (.f64 x (*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))) (cbrt.f64 (log.f64 y))) z) y)
	31.3b	(-.f64 (-.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.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)
	30.4b	(-.f64 (-.f64 (.f64 (sqrt.f64 (.f64 x (log.f64 y))) (sqrt.f64 (*.f64 x (log.f64 y)))) z) y)
	0.4b	(-.f64 (-.f64 (.f64 (.f64 (cbrt.f64 (.f64 x (log.f64 y))) (cbrt.f64 (.f64 x (log.f64 y)))) (cbrt.f64 (*.f64 x (log.f64 y)))) z) y)
✓	0.1b	(-.f64 (fma.f64 x (log.f64 y) (neg.f64 z)) y)

Compiler

Compiled 1405 to 370 computations (73.7% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 x (log.f64 (cbrt.f64 y)))
✓	0.3b	(.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)

series3.3s (41%)

Counts

4 → 84

Calls

4 calls:

1.2s	(*.f64 x (log.f64 (cbrt.f64 y)))
1.1s	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
1.1s	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
29.0ms	(cbrt.f64 y)

rewrite18.0ms (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:

5.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
4.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
3.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
1.0ms	(cbrt.f64 y)

simplify121.0ms (1.5%)

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

prune152.0ms (1.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	171	2	173
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	173	6	179

Error

Counts

179 → 6

Alt Table

Status	Error	Program
▶	0.1b	(-.f64 (-.f64 (+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3)))) z) y)
	31.3b	(-.f64 (-.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (log.f64 y))) z) y)
	0.4b	(-.f64 (-.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (.f64 x (.f64 (log.f64 y) 2/3))) (cbrt.f64 (.f64 x (.f64 (log.f64 y) 2/3)))) (cbrt.f64 (.f64 x (.f64 (log.f64 y) 2/3)))) (*.f64 x (log.f64 (cbrt.f64 y)))) z) y)
	30.4b	(-.f64 (-.f64 (.f64 (sqrt.f64 (.f64 x (log.f64 y))) (sqrt.f64 (*.f64 x (log.f64 y)))) z) y)
	0.4b	(-.f64 (-.f64 (.f64 (.f64 (cbrt.f64 (.f64 x (log.f64 y))) (cbrt.f64 (.f64 x (log.f64 y)))) (cbrt.f64 (*.f64 x (log.f64 y)))) z) y)
✓	0.1b	(-.f64 (fma.f64 x (log.f64 y) (neg.f64 z)) y)

Compiler

Compiled 4038 to 1691 computations (58.1% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.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 (pow.f64 y 1/3))))
	0.6b	(cbrt.f64 y)
✓	5.1b	(pow.f64 y 1/3)

series1.3s (16%)

Counts

2 → 28

Calls

2 calls:

1.3s	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3))))
46.0ms	(pow.f64 y 1/3)

rewrite11.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`associate-+r+_binary64`
14×	`log-prod_binary64`
9×	`unpow-prod-down_binary64`
8×	`*-un-lft-identity_binary64`
8×	`add-sqr-sqrt_binary64`

Counts

2 → 49

Calls

2 calls:

6.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3))))
1.0ms	(pow.f64 y 1/3)

simplify75.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

620×	`fma-neg_binary64`
476×	`fma-def_binary64`
410×	`cancel-sign-sub-inv_binary64`
303×	`*-commutative_binary64`
283×	`distribute-rgt-in_binary64`

Counts

77 → 85

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	128	1227
1	312	902
2	958	619
3	3022	613
4	4735	613
5	4801	613

prune147.0ms (1.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	135	2	137
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	137	6	143

Error

Counts

143 → 6

Alt Table

Status	Error	Program
✓	0.1b	(-.f64 (-.f64 (+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3)))) z) y)
	31.3b	(-.f64 (-.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (log.f64 y))) z) y)
	0.4b	(-.f64 (-.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (.f64 x (.f64 (log.f64 y) 2/3))) (cbrt.f64 (.f64 x (.f64 (log.f64 y) 2/3)))) (cbrt.f64 (.f64 x (.f64 (log.f64 y) 2/3)))) (*.f64 x (log.f64 (cbrt.f64 y)))) z) y)
	0.1b	(-.f64 (-.f64 (+.f64 (.f64 x (.f64 (log.f64 y) 5/6)) (*.f64 (log.f64 (pow.f64 (sqrt.f64 y) 1/3)) x)) z) y)
	0.1b	(-.f64 (-.f64 (fma.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2) (.f64 x (log.f64 (pow.f64 y 1/3)))) z) y)
✓	0.1b	(-.f64 (fma.f64 x (log.f64 y) (neg.f64 z)) y)

Compiler

Compiled 3202 to 1886 computations (41.1% saved)

regimes168.0ms (2.1%)

Accuracy

Total 0.1b remaining (90.6%)

Threshold costs 0.1b (90.6%)

Counts

43 → 1

Compiler

Compiled 3066 to 1956 computations (36.2% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	21
1	24	21
2	29	21
3	32	21
4	33	21
5	31	21

end102.0ms (1.3%)

Compiler: Compiled 158 to 104 computations (34.2% saved)

Details

analyze387.0ms (4.8%)

sample1.2s (14.2%)

simplify152.0ms (1.9%)

prune1.0ms (0%)

localize6.0ms (0.1%)

series394.0ms (4.8%)

rewrite27.0ms (0.3%)

simplify109.0ms (1.3%)

prune117.0ms (1.4%)

localize6.0ms (0.1%)

series179.0ms (2.2%)

rewrite5.0ms (0.1%)

simplify84.0ms (1%)

prune48.0ms (0.6%)

localize13.0ms (0.2%)

series3.3s (41%)

rewrite18.0ms (0.2%)

simplify121.0ms (1.5%)

prune152.0ms (1.9%)

localize15.0ms (0.2%)

series1.3s (16%)

rewrite11.0ms (0.1%)

simplify75.0ms (0.9%)

prune147.0ms (1.8%)

regimes168.0ms (2.1%)

simplify2.0ms (0%)

end102.0ms (1.3%)

Profiling