Details

analyze438.0ms (3.4%)

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%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	87.4%	12.6%	5
0%	74.9%	25.1%	6
6.2%	68.6%	25.1%	7
12.5%	56.2%	31.4%	8
14%	48.4%	37.6%	9
21.1%	41.3%	37.6%	10
26.9%	32.4%	40.7%	11
28.7%	27.5%	43.8%	12
33.4%	22.7%	43.8%	13
37.2%	17.4%	45.4%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.6s (12.2%)

Results

1.2s	8256×	body	128	valid
87.0ms	772×	body	128	invalid

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify209.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

2528×	`fma-neg_binary64`
1701×	`fma-def_binary64`
364×	`distribute-rgt-in_binary64`
336×	`unsub-neg_binary64`
328×	`associate--r-_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	15	12
2	23	12
3	39	12
4	85	12
5	184	12
6	322	12
7	518	12
8	681	12
9	1097	12
10	1783	12
11	1812	12
12	1882	12
13	1916	12
14	1930	12
15	3312	12
16	4220	12
17	3919	12
18	4053	12
19	4118	12
20	4154	12
21	4164	12
22	4224	12
23	4182	12
24	4182	12
25	5994	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

17.7b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	17.7b	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)

Compiler

Compiled 33 to 21 computations (36.4% saved)

localize6.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
✓	0.3b	(*.f64 x (log.f64 (/.f64 x y)))
✓	17.2b	(log.f64 (/.f64 x y))

series1.1s (8.5%)

Counts

3 → 84

Calls

3 calls:

414.0ms	(*.f64 x (log.f64 (/.f64 x y)))
395.0ms	(log.f64 (/.f64 x y))
286.0ms	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)

rewrite20.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

65×	`log-prod_binary64`
45×	`times-frac_binary64`
44×	`add-sqr-sqrt_binary64`
42×	`*-un-lft-identity_binary64`
42×	`add-cube-cbrt_binary64`

Counts

3 → 119

Calls

3 calls:

6.0ms	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
4.0ms	(*.f64 x (log.f64 (/.f64 x y)))
2.0ms	(log.f64 (/.f64 x y))

simplify151.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

736×	`fma-def_binary64`
603×	`fma-neg_binary64`
459×	`distribute-rgt-in_binary64`
432×	`distribute-lft-in_binary64`
129×	`associate-l_binary64`

Counts

203 → 178

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	235	2794
1	420	2726
2	1328	2685
3	4402	2685
4	4978	2685
5	4998	2685
6	4957	2685

prune150.0ms (1.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	169	9	178
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	170	9	179

Error

0.0b

Counts

179 → 9

Alt Table

Status	Error	Program
▶	0.2b	(-.f64 (+.f64 (.f64 x (.f64 2 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))))) (*.f64 x (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))))) z)
	17.8b	(-.f64 (*.f64 x (cbrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 3))) z)
	31.4b	(-.f64 (.f64 x (log.f64 (/.f64 1 y))) (+.f64 z (.f64 (log.f64 (/.f64 1 x)) x)))
	42.1b	(-.f64 (.f64 (sqrt.f64 (.f64 x (log.f64 (/.f64 x y)))) (sqrt.f64 (*.f64 x (log.f64 (/.f64 x y))))) z)
	6.3b	(-.f64 (+.f64 (.f64 (log.f64 (/.f64 1 (.f64 (cbrt.f64 y) (cbrt.f64 y)))) x) (*.f64 (log.f64 (/.f64 x (cbrt.f64 y))) x)) z)
	32.9b	(-.f64 (*.f64 x (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 x)))) z)
	4.5b	(-.f64 (.f64 x (+.f64 (log.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1)) (log.f64 (/.f64 (cbrt.f64 x) y)))) z)
	4.6b	(-.f64 (+.f64 (.f64 (log.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1)) x) (*.f64 (log.f64 (/.f64 (cbrt.f64 x) y)) x)) z)
	32.3b	(-.f64 (+.f64 (.f64 (log.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (sqrt.f64 y))) x) (*.f64 (log.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y))) x)) z)

Compiler

Compiled 3188 to 1029 computations (67.7% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(+.f64 (.f64 x (.f64 2 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))))) (*.f64 x (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))))
✓	0.4b	(/.f64 (cbrt.f64 x) (cbrt.f64 y))
✓	0.6b	(cbrt.f64 y)
✓	0.6b	(cbrt.f64 x)

series2.2s (17.2%)

Counts

4 → 72

Calls

4 calls:

1.8s	(+.f64 (.f64 x (.f64 2 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))))) (*.f64 x (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))))
399.0ms	(/.f64 (cbrt.f64 x) (cbrt.f64 y))
30.0ms	(cbrt.f64 x)
29.0ms	(cbrt.f64 y)

rewrite100.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

264×	`cbrt-prod_binary64`
252×	`times-frac_binary64`
240×	`log-prod_binary64`
200×	`distribute-lft-in_binary64`
200×	`distribute-rgt-in_binary64`

Counts

4 → 343

Calls

4 calls:

28.0ms	(+.f64 (.f64 x (.f64 2 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))))) (*.f64 x (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))))
3.0ms	(/.f64 (cbrt.f64 x) (cbrt.f64 y))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 y)

simplify279.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

573×	`fma-def_binary64`
374×	`associate-l_binary64`
277×	`associate-r_binary64`
272×	`*-commutative_binary64`
220×	`fma-neg_binary64`

Counts

415 → 616

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	505	9696
1	918	8956
2	3159	8662
3	4813	8662
4	5005	8662

prune836.0ms (6.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	740	4	744
Fresh	6	2	8
Picked	1	0	1
Done	0	0	0
Total	747	6	753

Error

Counts

753 → 6

Alt Table

Status	Error	Program
	4.5b	(-.f64 (.f64 x (+.f64 (log.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1)) (log.f64 (/.f64 (cbrt.f64 x) y)))) z)
▶	0.1b	(-.f64 (fma.f64 x (.f64 2 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))) (.f64 x (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))))) z)
	31.4b	(-.f64 (.f64 x (log.f64 (/.f64 1 y))) (+.f64 z (.f64 (log.f64 (/.f64 1 x)) x)))
	0.2b	(-.f64 (+.f64 (.f64 x (fma.f64 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))) 2 (log.f64 (sqrt.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))))) (.f64 (log.f64 (sqrt.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))) x)) z)
	0.2b	(-.f64 (+.f64 (.f64 x (.f64 2 (log.f64 (/.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 y))))) (*.f64 x (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))))) z)
	32.9b	(-.f64 (.f64 3 (.f64 x (log.f64 (/.f64 (*.f64 (cbrt.f64 x) (pow.f64 (/.f64 -1 y) 1/3)) (cbrt.f64 -1))))) z)

Compiler

Compiled 23744 to 7654 computations (67.8% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 x (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))))
	0.4b	(/.f64 (cbrt.f64 x) (cbrt.f64 y))
	0.6b	(cbrt.f64 y)
	0.6b	(cbrt.f64 x)

series1.8s (13.8%)

Counts

1 → 24

Calls

1 calls:

1.8s	(*.f64 x (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))))

rewrite23.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

80×	`log-prod_binary64`
72×	`cbrt-prod_binary64`
72×	`times-frac_binary64`
55×	`add-sqr-sqrt_binary64`
53×	`*-un-lft-identity_binary64`

Counts

1 → 101

Calls

1 calls:

10.0ms

(*.f64 x (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))))

simplify198.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

636×	`fma-neg_binary64`
561×	`fma-def_binary64`
478×	`distribute-rgt-in_binary64`
371×	`distribute-lft-in_binary64`
232×	`associate-l_binary64`

Counts

125 → 145

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	252	3362
1	388	3270
2	1002	3176
3	1744	3152
4	4368	3040
5	4772	2996
6	4845	2987
7	4927	2987

prune447.0ms (3.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	400	1	401
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	402	5	407

Error

Counts

407 → 5

Alt Table

Status	Error	Program
	31.4b	(-.f64 (.f64 x (log.f64 (/.f64 1 y))) (+.f64 z (.f64 (log.f64 (/.f64 1 x)) x)))
	0.2b	(-.f64 (+.f64 (.f64 x (fma.f64 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))) 2 (log.f64 (sqrt.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))))) (.f64 (log.f64 (sqrt.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))) x)) z)
	4.5b	(-.f64 (.f64 x (+.f64 (log.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1)) (log.f64 (/.f64 (cbrt.f64 x) y)))) z)
	32.9b	(-.f64 (.f64 3 (.f64 x (log.f64 (/.f64 (*.f64 (cbrt.f64 x) (pow.f64 (/.f64 -1 y) 1/3)) (cbrt.f64 -1))))) z)
▶	0.1b	(-.f64 (fma.f64 x (.f64 2 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))) (.f64 x (log.f64 (/.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 y))))) z)

Compiler

Compiled 11693 to 3663 computations (68.7% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series607.0ms (4.7%)

Counts

2 → 24

Calls

2 calls:

324.0ms	(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))
283.0ms	(cbrt.f64 (cbrt.f64 x))

rewrite12.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

63×	`cbrt-prod_binary64`
34×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64`
16×	`add-cube-cbrt_binary64`
9×	`associate-r_binary64`

Counts

2 → 72

Calls

2 calls:

6.0ms	(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))
1.0ms	(cbrt.f64 (cbrt.f64 x))

simplify106.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

510×	`fma-def_binary64`
458×	`log-div_binary64`
422×	`sqr-pow_binary64`
316×	`*-commutative_binary64`
241×	`associate-/l*_binary64`

Counts

96 → 94

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	76	1244
1	124	1244
2	283	1184
3	606	1157
4	1061	947
5	1467	947
6	2800	947
7	4630	947
8	5126	947

prune262.0ms (2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	244	0	244
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	244	5	249

Error

Counts

249 → 5

Alt Table

Status	Error	Program
	31.4b	(-.f64 (.f64 x (log.f64 (/.f64 1 y))) (+.f64 z (.f64 (log.f64 (/.f64 1 x)) x)))
	0.2b	(-.f64 (+.f64 (.f64 x (fma.f64 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))) 2 (log.f64 (sqrt.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))))) (.f64 (log.f64 (sqrt.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))) x)) z)
	4.5b	(-.f64 (.f64 x (+.f64 (log.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1)) (log.f64 (/.f64 (cbrt.f64 x) y)))) z)
	32.9b	(-.f64 (.f64 3 (.f64 x (log.f64 (/.f64 (*.f64 (cbrt.f64 x) (pow.f64 (/.f64 -1 y) 1/3)) (cbrt.f64 -1))))) z)
✓	0.1b	(-.f64 (fma.f64 x (.f64 2 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))) (.f64 x (log.f64 (/.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 y))))) z)

Compiler

Compiled 8323 to 2538 computations (69.5% saved)

regimes2.2s (17.3%)

Accuracy

Total 0.1b remaining (78.3%)

Threshold costs 0.1b (78.3%)

Counts

350 → 1

Compiler

Compiled 42372 to 27062 computations (36.1% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
2×	`+-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	18	44
1	23	44
2	28	44
3	30	44
4	31	44
5	31	44

end102.0ms (0.8%)

Compiler: Compiled 184 to 111 computations (39.7% saved)

Details

analyze438.0ms (3.4%)

sample1.6s (12.2%)

simplify209.0ms (1.6%)

prune1.0ms (0%)

localize6.0ms (0%)

series1.1s (8.5%)

rewrite20.0ms (0.2%)

simplify151.0ms (1.2%)

prune150.0ms (1.2%)

localize12.0ms (0.1%)

series2.2s (17.2%)

rewrite100.0ms (0.8%)

simplify279.0ms (2.2%)

prune836.0ms (6.5%)

localize12.0ms (0.1%)

series1.8s (13.8%)

rewrite23.0ms (0.2%)

simplify198.0ms (1.5%)

prune447.0ms (3.5%)

localize20.0ms (0.2%)

series607.0ms (4.7%)

rewrite12.0ms (0.1%)

simplify106.0ms (0.8%)

prune262.0ms (2%)

regimes2.2s (17.3%)

simplify3.0ms (0%)

end102.0ms (0.8%)

Profiling