Details

analyze139.0ms (5.9%)

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
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
37.5%	43.7%	18.8%	7
50%	31.2%	18.8%	8
56.2%	20.3%	23.5%	9
61.7%	14.8%	23.5%	10
64.4%	9.8%	25.9%	11
66.9%	7.2%	25.9%	12
68.2%	4.8%	27%	13
69.4%	3.6%	27%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample23.0ms (1%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify16.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

284×	`fma-def_binary64`
35×	`associate-l_binary64`
24×	`distribute-rgt-in_binary64`
24×	`sub-neg_binary64`
19×	`fma-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	21	12
2	55	12
3	97	12
4	144	12
5	185	12
6	230	12
7	264	12
8	273	12
9	267	12
10	233	12

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

15.2b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	15.2b	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))

Compiler

Compiled 38 to 20 computations (47.4% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	4.4b	(.f64 (.f64 (*.f64 a a) b) b)
✓	10.2b	(.f64 (.f64 a a) b)

rewrite13.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-cbrt-cube_binary64`
16×	`add-exp-log_binary64`
16×	`pow1_binary64`
9×	`cbrt-unprod_binary64`
9×	`prod-exp_binary64`

Counts

2 → 44

Calls

2 calls:

6.0ms	(.f64 (.f64 (*.f64 a a) b) b)
5.0ms	(.f64 (.f64 a a) b)

series76.0ms (3.2%)

Counts

2 → 48

Calls

2 calls:

43.0ms	(.f64 (.f64 a a) b)
33.0ms	(.f64 (.f64 (*.f64 a a) b) b)

simplify93.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

599×	`fma-def_binary64`
359×	`unswap-sqr_binary64`
354×	`associate-/l/_binary64`
272×	`sqr-pow_binary64`
262×	`associate-/r/_binary64`

Counts

92 → 168

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	61	983
1	142	854
2	480	830
3	782	812
4	1506	801
5	2460	801
6	4674	801
7	4916	801

prune43.0ms (1.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	161	7	168
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	161	8	169

Error

0.0b

Counts

169 → 8

Alt Table

Status	Error	Program
▶	0.3b	(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
	21.1b	(neg.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)))
✓	15.2b	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
	15.5b	(neg.f64 (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 a a) b)) (cbrt.f64 (.f64 (.f64 a a) b))) (cbrt.f64 (.f64 (*.f64 a a) b))) b))
	27.0b	(neg.f64 (.f64 (.f64 a (*.f64 a (pow.f64 b 3/2))) (sqrt.f64 b)))
	24.9b	(neg.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 6)))
	25.7b	(neg.f64 (.f64 (.f64 (.f64 a (.f64 a (sqrt.f64 b))) (sqrt.f64 b)) b))
	4.6b	(neg.f64 (.f64 (.f64 a (*.f64 a b)) b))

Compiler

Compiled 914 to 328 computations (64.1% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 a b) (*.f64 a b))

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`pow1_binary64`
17×	`pow-prod-down_binary64`
13×	`add-cbrt-cube_binary64`
13×	`add-exp-log_binary64`
8×	`cbrt-unprod_binary64`

Counts

1 → 36

Calls

1 calls:

5.0ms

(*.f64 (*.f64 a b) (*.f64 a b))

series38.0ms (1.6%)

Counts

1 → 24

Calls

1 calls:

38.0ms

(*.f64 (*.f64 a b) (*.f64 a b))

simplify90.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

654×	`associate-l_binary64`
551×	`fma-def_binary64`
352×	`associate-r_binary64`
341×	`associate-/l*_binary64`
311×	`associate-/l/_binary64`

Counts

60 → 115

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	613
1	92	508
2	315	474
3	1009	474
4	1436	372
5	2353	372
6	4908	372
7	4999	372
8	4954	372

prune28.0ms (1.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	113	2	115
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	114	9	123

Error

0.0b

Counts

123 → 9

Alt Table

Status	Error	Program
✓	0.3b	(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
✓	15.2b	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
	15.9b	(neg.f64 (.f64 a (.f64 a (*.f64 b b))))
	7.2b	(neg.f64 (.f64 a (.f64 b (*.f64 a b))))
	15.5b	(neg.f64 (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 a a) b)) (cbrt.f64 (.f64 (.f64 a a) b))) (cbrt.f64 (.f64 (*.f64 a a) b))) b))
	27.0b	(neg.f64 (.f64 (.f64 a (*.f64 a (pow.f64 b 3/2))) (sqrt.f64 b)))
	24.9b	(neg.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 6)))
	25.7b	(neg.f64 (.f64 (.f64 (.f64 a (.f64 a (sqrt.f64 b))) (sqrt.f64 b)) b))
▶	4.6b	(neg.f64 (.f64 (.f64 a (*.f64 a b)) b))

Compiler

Compiled 628 to 254 computations (59.6% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 a (.f64 a b))
✓	4.4b	(.f64 (.f64 a (*.f64 a b)) b)

rewrite11.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-cbrt-cube_binary64`
16×	`add-exp-log_binary64`
16×	`pow1_binary64`
9×	`cbrt-unprod_binary64`
9×	`prod-exp_binary64`

Counts

2 → 43

Calls

2 calls:

5.0ms	(.f64 (.f64 a (*.f64 a b)) b)
4.0ms	(.f64 a (.f64 a b))

series56.0ms (2.4%)

Counts

2 → 48

Calls

2 calls:

33.0ms	(.f64 (.f64 a (*.f64 a b)) b)
23.0ms	(.f64 a (.f64 a b))

simplify90.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

613×	`associate-/l/_binary64`
601×	`fma-def_binary64`
310×	`unswap-sqr_binary64`
264×	`sqr-pow_binary64`
240×	`*-commutative_binary64`

Counts

91 → 175

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	62	982
1	152	841
2	538	805
3	804	795
4	1566	689
5	2640	689
6	4984	689
7	5171	689

prune43.0ms (1.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	174	1	175
Fresh	1	5	6
Picked	1	0	1
Done	0	2	2
Total	176	8	184

Error

0.0b

Counts

184 → 8

Alt Table

Status	Error	Program
✓	0.3b	(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
✓	15.2b	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
	15.9b	(neg.f64 (.f64 a (.f64 a (*.f64 b b))))
	7.2b	(neg.f64 (.f64 a (.f64 b (*.f64 a b))))
▶	5.2b	(neg.f64 (.f64 (.f64 (.f64 (cbrt.f64 (.f64 a (.f64 a b))) (cbrt.f64 (.f64 a (.f64 a b)))) (cbrt.f64 (.f64 a (*.f64 a b)))) b))
	27.0b	(neg.f64 (.f64 (.f64 a (*.f64 a (pow.f64 b 3/2))) (sqrt.f64 b)))
	24.9b	(neg.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 6)))
	25.7b	(neg.f64 (.f64 (.f64 (.f64 a (.f64 a (sqrt.f64 b))) (sqrt.f64 b)) b))

Compiler

Compiled 969 to 367 computations (62.1% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.4b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 a (.f64 a b))) (cbrt.f64 (.f64 a (.f64 a b)))) (cbrt.f64 (.f64 a (*.f64 a b)))) b)
	22.8b	(cbrt.f64 (.f64 a (.f64 a b)))
	22.8b	(cbrt.f64 (.f64 a (.f64 a b)))
✓	22.8b	(cbrt.f64 (.f64 a (.f64 a b)))

rewrite14.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-exp-log_binary64`
11×	`pow1_binary64`
7×	`add-cbrt-cube_binary64`
6×	`cbrt-unprod_binary64`
6×	`prod-exp_binary64`

Counts

2 → 34

Calls

2 calls:

10.0ms	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 a (.f64 a b))) (cbrt.f64 (.f64 a (.f64 a b)))) (cbrt.f64 (.f64 a (*.f64 a b)))) b)
2.0ms	(cbrt.f64 (.f64 a (.f64 a b)))

series646.0ms (27.4%)

Counts

2 → 48

Calls

2 calls:

583.0ms	(cbrt.f64 (.f64 a (.f64 a b)))
62.0ms	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 a (.f64 a b))) (cbrt.f64 (.f64 a (.f64 a b)))) (cbrt.f64 (.f64 a (*.f64 a b)))) b)

simplify109.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

713×	`fma-def_binary64`
568×	`unswap-sqr_binary64`
487×	`fma-neg_binary64`
320×	`*-commutative_binary64`
178×	`associate-l_binary64`

Counts

82 → 152

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	1113
1	217	1029
2	718	921
3	1403	839
4	4164	839
5	4945	839
6	4998	839

prune64.0ms (2.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	335	0	335
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	335	8	343

Error

0.0b

Counts

343 → 8

Alt Table

Status	Error	Program
✓	0.3b	(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
✓	15.2b	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
	15.9b	(neg.f64 (.f64 a (.f64 a (*.f64 b b))))
	7.2b	(neg.f64 (.f64 a (.f64 b (*.f64 a b))))
✓	5.2b	(neg.f64 (.f64 (.f64 (.f64 (cbrt.f64 (.f64 a (.f64 a b))) (cbrt.f64 (.f64 a (.f64 a b)))) (cbrt.f64 (.f64 a (*.f64 a b)))) b))
	27.0b	(neg.f64 (.f64 (.f64 a (*.f64 a (pow.f64 b 3/2))) (sqrt.f64 b)))
	24.9b	(neg.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 6)))
	25.7b	(neg.f64 (.f64 (.f64 (.f64 a (.f64 a (sqrt.f64 b))) (sqrt.f64 b)) b))

Compiler

Compiled 2680 to 674 computations (74.9% saved)

regimes166.0ms (7.1%)

Accuracy

Total 0.2b remaining (80.6%)

Threshold costs 0.2b (80.6%)

Compiler

Compiled 2908 to 1527 computations (47.5% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	12	9
2	14	9
3	15	9
4	15	9

end7.0ms (0.3%)

Remove: (sort a b)
Compiler: Compiled 24 to 18 computations (25% saved)

sample555.0ms (23.6%)

Algorithm

1×

intervals

Results

268.0ms	8000×	body	128	valid
4.0ms	137×	body	128	invalid

Compiler

Compiled 122 to 71 computations (41.8% saved)

Iter	Nodes	Cost
0	7	12
1	21	12
2	55	12
3	97	12
4	144	12
5	185	12
6	230	12
7	264	12
8	273	12
9	267	12
10	233	12

Iter	Nodes	Cost
0	7	12
1	21	12
2	55	12
3	97	12
4	144	12
5	185	12
6	230	12
7	264	12
8	273	12
9	267	12
10	233	12

Details

analyze139.0ms (5.9%)

sample23.0ms (1%)

simplify16.0ms (0.7%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite13.0ms (0.5%)

series76.0ms (3.2%)

simplify93.0ms (3.9%)

prune43.0ms (1.8%)

localize4.0ms (0.2%)

rewrite7.0ms (0.3%)

series38.0ms (1.6%)

simplify90.0ms (3.8%)

prune28.0ms (1.2%)

localize5.0ms (0.2%)

rewrite11.0ms (0.5%)

series56.0ms (2.4%)

simplify90.0ms (3.8%)

prune43.0ms (1.8%)

localize10.0ms (0.4%)

rewrite14.0ms (0.6%)

series646.0ms (27.4%)

simplify109.0ms (4.6%)

prune64.0ms (2.7%)

regimes166.0ms (7.1%)

simplify3.0ms (0.1%)

end7.0ms (0.3%)

sample555.0ms (23.6%)

Profiling

Iter	Nodes	Cost
0	7	12
1	21	12
2	55	12
3	97	12
4	144	12
5	185	12
6	230	12
7	264	12
8	273	12
9	267	12
10	233	12