Details

analyze448.0ms (15.7%)

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%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
40.6%	56.9%	2.5%	9
46%	49.5%	4.4%	10
50.3%	44.9%	4.8%	11
60.3%	30.5%	9.2%	12
62.9%	25.7%	11.4%	13
65.2%	23.2%	11.7%	14

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample22.0ms (0.8%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	35×	body	128	invalid

Compiler

Compiled 36 to 28 computations (22.2% saved)

simplify174.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

1291×	`div-sub_binary64`
598×	`times-frac_binary64`
567×	`sub-neg_binary64`
441×	`unsub-neg_binary64`
344×	`associate-/r/_binary64`

Counts

1 → 1

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	13	19
1	25	19
2	51	19
3	113	19
4	227	19
5	411	13
6	754	13
7	1197	13
8	1661	13
9	2783	13
10	3594	13
11	3693	13
12	3830	13
13	3963	13
14	4174	13
15	4613	13
16	4896	13

prune5.0ms (0.2%)

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

0.0b

Counts

2 → 2

Alt Table

Status	Error	Program
	0.6b	(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 3/4)) z)) y))
▶	0.2b	(+.f64 4 (*.f64 (/.f64 4 y) (-.f64 x z)))

Compiler

Compiled 68 to 51 computations (25% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 4 (*.f64 (/.f64 4 y) (-.f64 x z)))
0.3b	(*.f64 (/.f64 4 y) (-.f64 x z))

rewrite80.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

21×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64`
14×	`add-cube-cbrt_binary64`
13×	`associate-l_binary64`
12×	`cancel-sign-sub-inv_binary64`

Counts

2 → 65

Calls

2 calls:

10.0ms	(*.f64 (/.f64 4 y) (-.f64 x z))
4.0ms	(+.f64 4 (*.f64 (/.f64 4 y) (-.f64 x z)))

Compiler

Compiled 1107 to 649 computations (41.4% saved)

series99.0ms (3.5%)

Error

Counts

2 → 33

Calls

2 calls:

46.0ms	(+.f64 4 (*.f64 (/.f64 4 y) (-.f64 x z)))
36.0ms	(*.f64 (/.f64 4 y) (-.f64 x z))

Compiler

Compiled 819 to 608 computations (25.8% saved)

simplify84.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

628×	`distribute-rgt-in_binary64`
611×	`distribute-lft-in_binary64`
378×	`associate-*l/_binary64`
166×	`associate-/l*_binary64`
153×	`exp-prod_binary64`

Counts

98 → 72

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	154	1259
1	396	1224
2	1259	1221
3	4906	1221
4	4993	1221

prune42.0ms (1.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	72	2	74

Error

Counts

74 → 2

Alt Table

Status	Error	Program
	0.6b	(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 3/4)) z)) y))
▶	0.0b	(+.f64 4 (+.f64 (.f64 4 (/.f64 x y)) (.f64 -4 (/.f64 z y))))

Compiler

Compiled 762 to 443 computations (41.9% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 -4 (/.f64 z y))
0.0b	(+.f64 4 (+.f64 (.f64 4 (/.f64 x y)) (.f64 -4 (/.f64 z y))))
0.0b	(+.f64 (.f64 4 (/.f64 x y)) (.f64 -4 (/.f64 z y)))
0.0b	(*.f64 4 (/.f64 x y))

rewrite108.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

30×	`add-sqr-sqrt_binary64`
26×	`associate-r_binary64`
22×	`*-un-lft-identity_binary64`
20×	`add-cube-cbrt_binary64` `times-frac_binary64`
14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`

Counts

4 → 90

Calls

4 calls:

7.0ms	(*.f64 4 (/.f64 x y))
7.0ms	(+.f64 4 (+.f64 (.f64 4 (/.f64 x y)) (.f64 -4 (/.f64 z y))))
7.0ms	(*.f64 -4 (/.f64 z y))
6.0ms	(+.f64 (.f64 4 (/.f64 x y)) (.f64 -4 (/.f64 z y)))

Compiler

Compiled 1836 to 1029 computations (44% saved)

series132.0ms (4.6%)

Error

Counts

4 → 45

Calls

4 calls:

48.0ms	(+.f64 4 (+.f64 (.f64 4 (/.f64 x y)) (.f64 -4 (/.f64 z y))))
44.0ms	(+.f64 (.f64 4 (/.f64 x y)) (.f64 -4 (/.f64 z y)))
16.0ms	(*.f64 4 (/.f64 x y))
15.0ms	(*.f64 -4 (/.f64 z y))

Compiler

Compiled 1211 to 901 computations (25.6% saved)

simplify95.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

488×	`associate-*l/_binary64`
469×	`associate-*r/_binary64`
346×	`times-frac_binary64`
329×	`distribute-rgt-in_binary64`
298×	`distribute-lft-in_binary64`

Counts

135 → 68

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	182	1559
1	471	1517
2	1402	1514
3	4461	1514
4	4969	1514

prune38.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	68	2	70

Error

Counts

70 → 2

Alt Table

Status	Error	Program
▶	0.6b	(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 3/4)) z)) y))
✓	0.0b	(+.f64 4 (+.f64 (.f64 4 (/.f64 x y)) (.f64 -4 (/.f64 z y))))

Compiler

Compiled 741 to 438 computations (40.9% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 y 3/4))
0.0b	(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 3/4)) z)) y))
0.0b	(-.f64 (+.f64 x (*.f64 y 3/4)) z)
0.5b	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 3/4)) z)) y)

rewrite85.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`add-log-exp_binary64`
11×	`*-un-lft-identity_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64`
4×	`pow1_binary64`

Counts

4 → 64

Calls

4 calls:

9.0ms	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 3/4)) z)) y)
6.0ms	(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 3/4)) z)) y))
6.0ms	(-.f64 (+.f64 x (*.f64 y 3/4)) z)
3.0ms	(+.f64 x (*.f64 y 3/4))

Compiler

Compiled 1392 to 968 computations (30.5% saved)

series172.0ms (6%)

Error

Counts

4 → 66

Calls

4 calls:

49.0ms	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 3/4)) z)) y)
49.0ms	(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 3/4)) z)) y))
31.0ms	(-.f64 (+.f64 x (*.f64 y 3/4)) z)
19.0ms	(+.f64 x (*.f64 y 3/4))

Compiler

Compiled 1652 to 1245 computations (24.6% saved)

simplify99.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

448×	`distribute-rgt-in_binary64`
437×	`associate-l_binary64`
427×	`distribute-lft-in_binary64`
351×	`associate-/l*_binary64`
327×	`times-frac_binary64`

Counts

130 → 97

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	158	1757
1	416	1694
2	1144	1598
3	4692	1598
4	5407	1598

prune54.0ms (1.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	97	2	99

Error

Counts

99 → 2

Alt Table

Status	Error	Program
	0.6b	(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 3/4)) z)) y))
	0.0b	(+.f64 4 (+.f64 (.f64 4 (/.f64 x y)) (.f64 -4 (/.f64 z y))))

Compiler

Compiled 1010 to 641 computations (36.5% saved)

regimes381.0ms (13.3%)

Accuracy

Total 0.0b remaining (63%)

Threshold costs 0.0b (63%)

Compiler

Compiled 4086 to 3140 computations (23.2% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`sub-neg_binary64` `*-commutative_binary64`
1×	`unpow1_binary64` `1-exp_binary64` `neg-mul-1_binary64` `neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	17	13
2	21	13
3	23	13
4	24	13
5	23	13

end1.0ms (0%)

Compiler: Compiled 12 to 9 computations (25% saved)

sample709.0ms (24.8%)

Algorithm

1×

intervals

Results

310.0ms	8000×	body	128	valid
33.0ms	926×	body	128	invalid

Compiler

Compiled 64 to 49 computations (23.4% saved)

Details

analyze448.0ms (15.7%)

sample22.0ms (0.8%)

simplify174.0ms (6.1%)

prune5.0ms (0.2%)

localize6.0ms (0.2%)

rewrite80.0ms (2.8%)

series99.0ms (3.5%)

simplify84.0ms (2.9%)

prune42.0ms (1.5%)

localize11.0ms (0.4%)

rewrite108.0ms (3.8%)

series132.0ms (4.6%)

simplify95.0ms (3.3%)

prune38.0ms (1.3%)

localize9.0ms (0.3%)

rewrite85.0ms (3%)

series172.0ms (6%)

simplify99.0ms (3.5%)

prune54.0ms (1.9%)

regimes381.0ms (13.3%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample709.0ms (24.8%)

Profiling