Details

analyze2.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 10 to 7 computations (30% saved)

sample929.0ms (19.9%)

Results

816.0ms

8256×

body

128

valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify43.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

601×	`fma-def_binary64`
148×	`fma-neg_binary64`
84×	`distribute-rgt-in_binary64`
50×	`distribute-lft-in_binary64`
50×	`cancel-sign-sub-inv_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	15	10
2	37	10
3	71	10
4	148	10
5	211	10
6	297	10
7	526	10
8	560	10
9	559	10
10	595	10
11	544	10

prune3.0ms (0.1%)

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 x y) (-.f64 1 y))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 x y) (-.f64 1 y))

series20.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

19.0ms

(*.f64 (*.f64 x y) (-.f64 1 y))

rewrite23.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64`
19×	`add-sqr-sqrt_binary64`
18×	`prod-diff_binary64`
16×	`add-cube-cbrt_binary64`
13×	`distribute-lft-in_binary64`

Counts

1 → 51

Calls

1 calls:

14.0ms

(*.f64 (*.f64 x y) (-.f64 1 y))

simplify212.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

911×	`fma-neg_binary64`
433×	`exp-prod_binary64`
400×	`*-commutative_binary64`
343×	`fma-def_binary64`
288×	`associate-+r+_binary64`

Counts

75 → 73

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	1085
1	223	985
2	948	871
3	2323	814
4	4186	814
5	4991	814
6	4915	814
7	4901	814

prune162.0ms (3.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	68	5	73
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	5	74

Error

0.0b

Counts

74 → 5

Alt Table

Status	Error	Program
	0.3b	(.f64 (.f64 (.f64 x y) (.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))) (cbrt.f64 (-.f64 1 y)))
▶	0.1b	(.f64 y (.f64 (-.f64 1 y) x))
	3.3b	(.f64 x (.f64 y (-.f64 1 y)))
	37.8b	(+.f64 (.f64 1 (.f64 x y)) (.f64 (.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)) (*.f64 x y)))
	0.9b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y))) (cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))) (cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y))))

Compiler

Compiled 1447 to 624 computations (56.9% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 1 y) x)
✓	0.1b	(.f64 y (.f64 (-.f64 1 y) x))

series12.0ms (0.3%)

Counts

2 → 28

Calls

2 calls:

8.0ms	(.f64 y (.f64 (-.f64 1 y) x))
4.0ms	(*.f64 (-.f64 1 y) x)

rewrite14.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64`
9×	`associate-l_binary64`
9×	`add-cbrt-cube_binary64`
9×	`add-exp-log_binary64`
9×	`pow1_binary64`

Counts

2 → 47

Calls

2 calls:

6.0ms	(.f64 y (.f64 (-.f64 1 y) x))
5.0ms	(*.f64 (-.f64 1 y) x)

simplify112.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

864×	`fma-def_binary64`
371×	`unsub-neg_binary64`
324×	`unswap-sqr_binary64`
288×	`*-commutative_binary64`
245×	`associate-+l+_binary64`

Counts

75 → 81

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	819
1	186	726
2	553	723
3	1335	720
4	2735	720
5	4950	720

prune134.0ms (2.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	81	5	86

Error

Counts

86 → 5

Alt Table

Status	Error	Program
▶	0.3b	(.f64 (.f64 (.f64 x y) (.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))) (cbrt.f64 (-.f64 1 y)))
✓	0.1b	(.f64 y (.f64 (-.f64 1 y) x))
	3.3b	(.f64 x (.f64 y (-.f64 1 y)))
	12.6b	(.f64 y (.f64 (sqrt.f64 (-.f64 1 y)) (*.f64 (sqrt.f64 (-.f64 1 y)) x)))
	37.8b	(+.f64 (.f64 1 (.f64 x y)) (.f64 (.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)) (*.f64 x y)))

Compiler

Compiled 1129 to 603 computations (46.6% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 x y) (*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y))))
✓	0.1b	(.f64 (.f64 (.f64 x y) (.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))) (cbrt.f64 (-.f64 1 y)))
✓	0.3b	(cbrt.f64 (-.f64 1 y))
✓	0.3b	(*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))

series710.0ms (15.2%)

Counts

4 → 72

Calls

4 calls:

659.0ms	(.f64 (.f64 x y) (*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y))))
22.0ms	(.f64 (.f64 (.f64 x y) (.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))) (cbrt.f64 (-.f64 1 y)))
16.0ms	(cbrt.f64 (-.f64 1 y))
12.0ms	(*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))

rewrite103.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

80×	`cbrt-div_binary64`
44×	`associate-*r/_binary64`
44×	`cbrt-prod_binary64`
41×	`add-sqr-sqrt_binary64`
41×	`pow1_binary64`

Counts

4 → 172

Calls

4 calls:

29.0ms	(.f64 (.f64 (.f64 x y) (.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))) (cbrt.f64 (-.f64 1 y)))
23.0ms	(.f64 (.f64 x y) (*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y))))
15.0ms	(*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))
3.0ms	(cbrt.f64 (-.f64 1 y))

simplify316.0ms (6.8%)

Algorithm

1×	egg-herbie

Rules

758×	`fma-def_binary64`
549×	`associate-l_binary64`
392×	`associate-r_binary64`
385×	`fma-neg_binary64`
325×	`cancel-sign-sub-inv_binary64`

Counts

244 → 289

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	300	5321
1	760	4846
2	2552	4532
3	4553	4491
4	4984	4491

prune647.0ms (13.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	377	0	377
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	377	5	382

Error

Counts

382 → 5

Alt Table

Status	Error	Program
✓	0.3b	(.f64 (.f64 (.f64 x y) (.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))) (cbrt.f64 (-.f64 1 y)))
✓	0.1b	(.f64 y (.f64 (-.f64 1 y) x))
▶	3.3b	(.f64 x (.f64 y (-.f64 1 y)))
	12.6b	(.f64 y (.f64 (sqrt.f64 (-.f64 1 y)) (*.f64 (sqrt.f64 (-.f64 1 y)) x)))
	37.8b	(+.f64 (.f64 1 (.f64 x y)) (.f64 (.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)) (*.f64 x y)))

Compiler

Compiled 10618 to 7404 computations (30.3% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 y (-.f64 1 y))
✓	3.3b	(.f64 x (.f64 y (-.f64 1 y)))

series17.0ms (0.4%)

Counts

2 → 36

Calls

2 calls:

13.0ms	(.f64 x (.f64 y (-.f64 1 y)))
4.0ms	(*.f64 y (-.f64 1 y))

rewrite63.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

65×	`distribute-lft-in_binary64`
65×	`distribute-rgt-in_binary64`
54×	`prod-diff_binary64`
52×	`add-sqr-sqrt_binary64`
50×	`*-un-lft-identity_binary64`

Counts

2 → 125

Calls

2 calls:

31.0ms	(*.f64 y (-.f64 1 y))
13.0ms	(.f64 x (.f64 y (-.f64 1 y)))

simplify190.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

468×	`*-commutative_binary64`
386×	`exp-prod_binary64`
367×	`fma-def_binary64`
307×	`distribute-rgt-neg-out_binary64`
294×	`distribute-lft-neg-out_binary64`

Counts

161 → 165

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	166	2288
1	243	2085
2	1064	1753
3	2742	1585
4	4514	1585
5	4766	1585

prune226.0ms (4.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	165	5	170

Error

Counts

170 → 5

Alt Table

Status	Error	Program
✓	0.3b	(.f64 (.f64 (.f64 x y) (.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))) (cbrt.f64 (-.f64 1 y)))
✓	0.1b	(.f64 y (.f64 (-.f64 1 y) x))
✓	3.3b	(.f64 x (.f64 y (-.f64 1 y)))
	12.6b	(.f64 y (.f64 (sqrt.f64 (-.f64 1 y)) (*.f64 (sqrt.f64 (-.f64 1 y)) x)))
	37.8b	(+.f64 (.f64 1 (.f64 x y)) (.f64 (.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)) (*.f64 x y)))

Compiler

Compiled 3165 to 1335 computations (57.8% saved)

regimes565.0ms (12.1%)

Accuracy

Total 0.1b remaining (69.5%)

Threshold costs 0.1b (69.5%)

Counts

95 → 1

Compiler

Compiled 4673 to 2947 computations (36.9% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	18	10
2	27	10
3	33	10
4	37	10
5	38	10
6	37	10

end114.0ms (2.4%)

Compiler: Compiled 89 to 58 computations (34.8% saved)

Iter	Nodes	Cost
0	7	10
1	15	10
2	37	10
3	71	10
4	148	10
5	211	10
6	297	10
7	526	10
8	560	10
9	559	10
10	595	10
11	544	10

Iter	Nodes	Cost
0	7	10
1	15	10
2	37	10
3	71	10
4	148	10
5	211	10
6	297	10
7	526	10
8	560	10
9	559	10
10	595	10
11	544	10

Details

analyze2.0ms (0%)

sample929.0ms (19.9%)

simplify43.0ms (0.9%)

prune3.0ms (0.1%)

localize9.0ms (0.2%)

series20.0ms (0.4%)

rewrite23.0ms (0.5%)

simplify212.0ms (4.6%)

prune162.0ms (3.5%)

localize8.0ms (0.2%)

series12.0ms (0.3%)

rewrite14.0ms (0.3%)

simplify112.0ms (2.4%)

prune134.0ms (2.9%)

localize16.0ms (0.3%)

series710.0ms (15.2%)

rewrite103.0ms (2.2%)

simplify316.0ms (6.8%)

prune647.0ms (13.9%)

localize8.0ms (0.2%)

series17.0ms (0.4%)

rewrite63.0ms (1.3%)

simplify190.0ms (4.1%)

prune226.0ms (4.8%)

regimes565.0ms (12.1%)

simplify4.0ms (0.1%)

end114.0ms (2.4%)

Profiling

Iter	Nodes	Cost
0	7	10
1	15	10
2	37	10
3	71	10
4	148	10
5	211	10
6	297	10
7	526	10
8	560	10
9	559	10
10	595	10
11	544	10