Details

analyze141.0ms (4.4%)

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
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 (0.7%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify20.0ms (0.6%)

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

12.5b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	12.5b	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))

Compiler

Compiled 38 to 20 computations (47.4% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	5.1b	(.f64 (.f64 (*.f64 a a) b) b)
✓	7.0b	(.f64 (.f64 a a) b)

rewrite12.0ms (0.4%)

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:

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

series59.0ms (1.9%)

Counts

2 → 48

Calls

2 calls:

32.0ms	(.f64 (.f64 (*.f64 a a) b) b)
27.0ms	(.f64 (.f64 a a) b)

simplify92.0ms (2.9%)

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

prune48.0ms (1.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	159	9	168
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	159	10	169

Error

0.1b

Counts

169 → 10

Alt Table

Status	Error	Program
	22.5b	(neg.f64 (.f64 (.f64 a (*.f64 a (pow.f64 b 3/2))) (sqrt.f64 b)))
	24.3b	(neg.f64 (.f64 (.f64 (.f64 (.f64 a a) b) (sqrt.f64 b)) (sqrt.f64 b)))
▶	0.3b	(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
	18.0b	(neg.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)))
	29.4b	(neg.f64 (cbrt.f64 (.f64 (.f64 (.f64 (.f64 (.f64 a a) b) (.f64 (.f64 a a) b)) (.f64 (.f64 a a) b)) (.f64 (*.f64 b b) b))))
	12.9b	(neg.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 (.f64 a a) b) b)) (cbrt.f64 (.f64 (.f64 (.f64 a a) b) b))) (cbrt.f64 (.f64 (.f64 (*.f64 a a) b) b))))
✓	12.5b	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
	12.9b	(neg.f64 (.f64 (.f64 (.f64 (.f64 a a) (*.f64 (cbrt.f64 b) (cbrt.f64 b))) (cbrt.f64 b)) b))
	5.3b	(neg.f64 (.f64 (.f64 a (*.f64 a b)) b))
	18.2b	(neg.f64 (.f64 (.f64 (.f64 a (sqrt.f64 b)) (.f64 a (sqrt.f64 b))) b))

Compiler

Compiled 1020 to 368 computations (63.9% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite7.0ms (0.2%)

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))

series33.0ms (1%)

Counts

1 → 24

Calls

1 calls:

32.0ms

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

simplify91.0ms (2.9%)

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

prune34.0ms (1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	112	3	115
Fresh	3	5	8
Picked	0	1	1
Done	1	0	1
Total	116	9	125

Error

0.0b

Counts

125 → 9

Alt Table

Status	Error	Program
	13.1b	(neg.f64 (.f64 a (.f64 a (*.f64 b b))))
	5.8b	(neg.f64 (.f64 a (.f64 b (*.f64 a b))))
▶	0.7b	(neg.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 a b) 2)) (cbrt.f64 (pow.f64 (.f64 a b) 2))) (cbrt.f64 (pow.f64 (*.f64 a b) 2))))
	24.3b	(neg.f64 (.f64 (.f64 (.f64 (.f64 a a) b) (sqrt.f64 b)) (sqrt.f64 b)))
✓	0.3b	(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
	18.0b	(neg.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)))
	12.9b	(neg.f64 (.f64 (.f64 (.f64 (.f64 a a) (*.f64 (cbrt.f64 b) (cbrt.f64 b))) (cbrt.f64 b)) b))
	5.3b	(neg.f64 (.f64 (.f64 a (*.f64 a b)) b))
	18.2b	(neg.f64 (.f64 (.f64 (.f64 a (sqrt.f64 b)) (.f64 a (sqrt.f64 b))) b))

Compiler

Compiled 652 to 276 computations (57.7% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (cbrt.f64 (pow.f64 (.f64 a b) 2)) (cbrt.f64 (pow.f64 (*.f64 a b) 2)))
	25.0b	(cbrt.f64 (pow.f64 (*.f64 a b) 2))
	25.0b	(cbrt.f64 (pow.f64 (*.f64 a b) 2))
✓	25.0b	(cbrt.f64 (pow.f64 (*.f64 a b) 2))

rewrite15.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`cbrt-prod_binary64`
27×	`add-sqr-sqrt_binary64`
16×	`unswap-sqr_binary64`
13×	`sqr-pow_binary64`
13×	`unpow2_binary64`

Counts

2 → 79

Calls

2 calls:

9.0ms	(.f64 (cbrt.f64 (pow.f64 (.f64 a b) 2)) (cbrt.f64 (pow.f64 (*.f64 a b) 2)))
1.0ms	(cbrt.f64 (pow.f64 (*.f64 a b) 2))

series1.2s (37.1%)

Counts

2 → 48

Calls

2 calls:

608.0ms	(.f64 (cbrt.f64 (pow.f64 (.f64 a b) 2)) (cbrt.f64 (pow.f64 (*.f64 a b) 2)))
579.0ms	(cbrt.f64 (pow.f64 (*.f64 a b) 2))

simplify122.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

586×	`exp-prod_binary64`
553×	`fma-def_binary64`
477×	`unswap-sqr_binary64`
311×	`associate-l_binary64`
302×	`fma-neg_binary64`

Counts

127 → 237

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	145	2533
1	261	2376
2	613	1912
3	1823	1794
4	4395	1734
5	4947	1734

prune209.0ms (6.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	448	2	450
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	448	11	459

Error

0.0b

Counts

459 → 11

Alt Table

Status	Error	Program
▶	1.0b	(neg.f64 (.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 2))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 2)))) (cbrt.f64 (pow.f64 (.f64 a b) 2))) (cbrt.f64 (pow.f64 (*.f64 a b) 2))))
✓	0.3b	(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
	1.0b	(neg.f64 (.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 a b) 2)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 a b) 2)) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 2))) 2)) (cbrt.f64 (pow.f64 (*.f64 a b) 2))))
	12.9b	(neg.f64 (.f64 (.f64 (.f64 (.f64 a a) (*.f64 (cbrt.f64 b) (cbrt.f64 b))) (cbrt.f64 b)) b))
	13.1b	(neg.f64 (.f64 a (.f64 a (*.f64 b b))))
	5.8b	(neg.f64 (.f64 a (.f64 b (*.f64 a b))))
✓	0.7b	(neg.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 a b) 2)) (cbrt.f64 (pow.f64 (.f64 a b) 2))) (cbrt.f64 (pow.f64 (*.f64 a b) 2))))
	24.3b	(neg.f64 (.f64 (.f64 (.f64 (.f64 a a) b) (sqrt.f64 b)) (sqrt.f64 b)))
	18.0b	(neg.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)))
	5.3b	(neg.f64 (.f64 (.f64 a (*.f64 a b)) b))
	18.2b	(neg.f64 (.f64 (.f64 (.f64 a (sqrt.f64 b)) (.f64 a (sqrt.f64 b))) b))

Compiler

Compiled 4980 to 3080 computations (38.2% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	25.0b	(cbrt.f64 (pow.f64 (*.f64 a b) 2))
	25.0b	(cbrt.f64 (pow.f64 (*.f64 a b) 2))
	25.0b	(cbrt.f64 (pow.f64 (*.f64 a b) 2))
	25.0b	(cbrt.f64 (pow.f64 (*.f64 a b) 2))

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify46.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	0

prune209.0ms (6.5%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	4260	0	4260
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	4260	11	4271

Error

0.0b

Counts

4271 → 11

Alt Table

Status	Error	Program
✓	1.0b	(neg.f64 (.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 2))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 2)))) (cbrt.f64 (pow.f64 (.f64 a b) 2))) (cbrt.f64 (pow.f64 (*.f64 a b) 2))))
✓	0.3b	(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
	1.0b	(neg.f64 (.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 a b) 2)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 a b) 2)) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 2))) 2)) (cbrt.f64 (pow.f64 (*.f64 a b) 2))))
	12.9b	(neg.f64 (.f64 (.f64 (.f64 (.f64 a a) (*.f64 (cbrt.f64 b) (cbrt.f64 b))) (cbrt.f64 b)) b))
	13.1b	(neg.f64 (.f64 a (.f64 a (*.f64 b b))))
	5.8b	(neg.f64 (.f64 a (.f64 b (*.f64 a b))))
✓	0.7b	(neg.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 a b) 2)) (cbrt.f64 (pow.f64 (.f64 a b) 2))) (cbrt.f64 (pow.f64 (*.f64 a b) 2))))
	24.3b	(neg.f64 (.f64 (.f64 (.f64 (.f64 a a) b) (sqrt.f64 b)) (sqrt.f64 b)))
	18.0b	(neg.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)))
	5.3b	(neg.f64 (.f64 (.f64 a (*.f64 a b)) b))
	18.2b	(neg.f64 (.f64 (.f64 (.f64 a (sqrt.f64 b)) (.f64 a (sqrt.f64 b))) b))

Compiler

Compiled 4229 to 2775 computations (34.4% saved)

regimes202.0ms (6.3%)

Accuracy

Total 0.3b remaining (84.9%)

Threshold costs 0.3b (84.9%)

Compiler

Compiled 4551 to 2743 computations (39.7% 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

end6.0ms (0.2%)

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

sample609.0ms (19%)

Algorithm

1×

intervals

Results

268.0ms	8000×	body	128	valid
5.0ms	158×	body	128	invalid

Compiler

Compiled 212 to 136 computations (35.8% 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

analyze141.0ms (4.4%)

sample23.0ms (0.7%)

simplify20.0ms (0.6%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite12.0ms (0.4%)

series59.0ms (1.9%)

simplify92.0ms (2.9%)

prune48.0ms (1.5%)

localize4.0ms (0.1%)

rewrite7.0ms (0.2%)

series33.0ms (1%)

simplify91.0ms (2.9%)

prune34.0ms (1%)

localize8.0ms (0.2%)

rewrite15.0ms (0.5%)

series1.2s (37.1%)

simplify122.0ms (3.8%)

prune209.0ms (6.5%)

localize12.0ms (0.4%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify46.0ms (1.4%)

prune209.0ms (6.5%)

regimes202.0ms (6.3%)

simplify3.0ms (0.1%)

end6.0ms (0.2%)

sample609.0ms (19%)

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