Details

analyze474.0ms (18.4%)

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%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
43.3%	48%	8.7%	10
49.7%	40.8%	9.5%	11
55.7%	34%	10.3%	12
61.3%	23.7%	15%	13
65%	19.8%	15.3%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample20.0ms (0.8%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	30×	body	128	invalid

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify74.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

142×	`cancel-sign-sub-inv_binary64`
122×	`distribute-rgt-in_binary64`
110×	`unsub-neg_binary64`
77×	`distribute-lft-in_binary64`
72×	`associate-r_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	16	13
2	33	13
3	69	13
4	130	13
5	184	13
6	266	13
7	422	13
8	589	13
9	629	13
10	629	13
11	622	13
12	622	13
13	549	13

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

0.4b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	0.4b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))

Compiler

Compiled 24 to 16 computations (33.3% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
0.0b	(*.f64 (-.f64 y x) 6)
0.5b	(.f64 (.f64 (-.f64 y x) 6) z)

rewrite52.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`add-sqr-sqrt_binary64`
10×	`add-cbrt-cube_binary64`
10×	`add-exp-log_binary64`
10×	`pow1_binary64`
8×	`*-un-lft-identity_binary64`

Counts

3 → 53

Calls

3 calls:

6.0ms	(.f64 (.f64 (-.f64 y x) 6) z)
6.0ms	(*.f64 (-.f64 y x) 6)
2.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))

Compiler

Compiled 820 to 413 computations (49.6% saved)

series74.0ms (2.9%)

Error

0.1b

Counts

3 → 45

Calls

3 calls:

29.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
21.0ms	(.f64 (.f64 (-.f64 y x) 6) z)
13.0ms	(*.f64 (-.f64 y x) 6)

Compiler

Compiled 1056 to 726 computations (31.3% saved)

simplify89.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

421×	`distribute-rgt-in_binary64`
403×	`distribute-lft-in_binary64`
317×	`*-commutative_binary64`
309×	`distribute-rgt-neg-out_binary64`
288×	`distribute-lft-neg-out_binary64`

Counts

98 → 76

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	116	1217
1	301	1073
2	968	1073
3	2752	1073
4	4550	1073
5	4957	1073

prune67.0ms (2.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	70	6	76
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	70	7	77

Error

0.0b

Counts

77 → 7

Alt Table

Status	Error	Program
	33.1b	(+.f64 x (.f64 (.f64 (sqrt.f64 (-.f64 y x)) (*.f64 6 (sqrt.f64 (-.f64 y x)))) z))
	1.0b	(+.f64 x (.f64 (.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (.f64 6 (cbrt.f64 (-.f64 y x)))) z))
	33.2b	(+.f64 x (.f64 (.f64 6 (*.f64 (-.f64 y x) (sqrt.f64 z))) (sqrt.f64 z)))
	0.8b	(+.f64 x (.f64 (.f64 6 (.f64 (-.f64 y x) (.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z)))
▶	0.2b	(+.f64 x (.f64 (-.f64 y x) (.f64 z 6)))
✓	0.4b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
	0.2b	(+.f64 x (.f64 -6 (.f64 z (-.f64 x y))))

Compiler

Compiled 780 to 387 computations (50.4% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 (-.f64 y x) (.f64 z 6)))
0.2b	(.f64 (-.f64 y x) (.f64 z 6))

rewrite34.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`add-cbrt-cube_binary64`
7×	`add-exp-log_binary64`
7×	`pow1_binary64`
5×	`associate-l_binary64`
5×	`*-un-lft-identity_binary64`

Counts

2 → 33

Calls

2 calls:

6.0ms	(.f64 (-.f64 y x) (.f64 z 6))
2.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 z 6)))

Compiler

Compiled 529 to 269 computations (49.1% saved)

series56.0ms (2.2%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

30.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 z 6)))
21.0ms	(.f64 (-.f64 y x) (.f64 z 6))

Compiler

Compiled 814 to 556 computations (31.7% saved)

simplify90.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

728×	`associate-l_binary64`
557×	`neg-mul-1_binary64`
313×	`distribute-rgt-in_binary64`
308×	`cancel-sign-sub-inv_binary64`
298×	`distribute-lft-in_binary64`

Counts

66 → 56

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	97	939
1	269	813
2	795	813
3	2736	813
4	4448	813
5	5382	813

prune18.0ms (0.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	56	7	63

Error

0.0b

Counts

63 → 7

Alt Table

Status	Error	Program
	33.1b	(+.f64 x (.f64 (.f64 (sqrt.f64 (-.f64 y x)) (*.f64 6 (sqrt.f64 (-.f64 y x)))) z))
	1.0b	(+.f64 x (.f64 (.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (.f64 6 (cbrt.f64 (-.f64 y x)))) z))
	33.2b	(+.f64 x (.f64 (.f64 6 (*.f64 (-.f64 y x) (sqrt.f64 z))) (sqrt.f64 z)))
	0.8b	(+.f64 x (.f64 (.f64 6 (.f64 (-.f64 y x) (.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z)))
✓	0.2b	(+.f64 x (.f64 (-.f64 y x) (.f64 z 6)))
✓	0.4b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
▶	0.2b	(+.f64 x (.f64 -6 (.f64 z (-.f64 x y))))

Compiler

Compiled 593 to 298 computations (49.7% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 z (-.f64 x y))
0.0b	(+.f64 x (.f64 -6 (.f64 z (-.f64 x y))))
0.3b	(.f64 -6 (.f64 z (-.f64 x y)))

rewrite96.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

36×	`distribute-lft-in_binary64`
36×	`distribute-rgt-in_binary64`
30×	`cancel-sign-sub-inv_binary64`
20×	`add-sqr-sqrt_binary64`
18×	`*-un-lft-identity_binary64`

Counts

3 → 93

Calls

3 calls:

6.0ms	(.f64 -6 (.f64 z (-.f64 x y)))
5.0ms	(*.f64 z (-.f64 x y))
4.0ms	(+.f64 x (.f64 -6 (.f64 z (-.f64 x y))))

Compiler

Compiled 1483 to 615 computations (58.5% saved)

series81.0ms (3.1%)

Error

0.0b

Counts

3 → 48

Calls

3 calls:

33.0ms	(+.f64 x (.f64 -6 (.f64 z (-.f64 x y))))
20.0ms	(.f64 -6 (.f64 z (-.f64 x y)))
20.0ms	(*.f64 z (-.f64 x y))

Compiler

Compiled 1140 to 769 computations (32.5% saved)

simplify90.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

562×	`unsub-neg_binary64`
464×	`distribute-rgt-in_binary64`
439×	`distribute-lft-in_binary64`
390×	`*-commutative_binary64`
269×	`exp-prod_binary64`

Counts

141 → 112

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	157	1667
1	370	1556
2	1127	1556
3	3552	1556
4	5034	1556

prune39.0ms (1.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	111	8	119

Error

0.0b

Counts

119 → 8

Alt Table

Status	Error	Program
	33.1b	(+.f64 x (.f64 (.f64 (sqrt.f64 (-.f64 y x)) (*.f64 6 (sqrt.f64 (-.f64 y x)))) z))
	1.0b	(+.f64 x (.f64 (.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (.f64 6 (cbrt.f64 (-.f64 y x)))) z))
	33.2b	(+.f64 x (.f64 (.f64 6 (*.f64 (-.f64 y x) (sqrt.f64 z))) (sqrt.f64 z)))
	0.8b	(+.f64 x (.f64 (.f64 6 (.f64 (-.f64 y x) (.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z)))
✓	0.2b	(+.f64 x (.f64 (-.f64 y x) (.f64 z 6)))
▶	0.6b	(+.f64 (+.f64 x (.f64 -6 (.f64 x z))) (.f64 (.f64 (.f64 (neg.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) z) -6))
✓	0.4b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
✓	0.2b	(+.f64 x (.f64 -6 (.f64 z (-.f64 x y))))

Compiler

Compiled 939 to 469 computations (50.1% saved)

localize22.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite73.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`

Counts

4 → 73

Calls

4 calls:

5.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 1762 to 755 computations (57.2% saved)

series69.0ms (2.7%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

17.0ms	(cbrt.f64 y)
16.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
13.0ms	(cbrt.f64 y)
13.0ms	(cbrt.f64 y)

Compiler

Compiled 831 to 575 computations (30.8% saved)

simplify95.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

735×	`log-prod_binary64`
577×	`distribute-rgt-in_binary64`
538×	`distribute-lft-in_binary64`
525×	`unswap-sqr_binary64`
287×	`associate-l_binary64`

Counts

85 → 64

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	54	624
1	94	576
2	292	556
3	763	542
4	1759	418
5	4280	418
6	4543	418
7	4810	418

prune27.0ms (1.1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	64	8	72

Error

0.0b

Counts

72 → 8

Alt Table

Status	Error	Program
	33.1b	(+.f64 x (.f64 (.f64 (sqrt.f64 (-.f64 y x)) (*.f64 6 (sqrt.f64 (-.f64 y x)))) z))
	1.0b	(+.f64 x (.f64 (.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (.f64 6 (cbrt.f64 (-.f64 y x)))) z))
	33.2b	(+.f64 x (.f64 (.f64 6 (*.f64 (-.f64 y x) (sqrt.f64 z))) (sqrt.f64 z)))
	0.8b	(+.f64 x (.f64 (.f64 6 (.f64 (-.f64 y x) (.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z)))
	0.2b	(+.f64 x (.f64 (-.f64 y x) (.f64 z 6)))
	0.6b	(+.f64 (+.f64 x (.f64 -6 (.f64 x z))) (.f64 (.f64 (.f64 (neg.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) z) -6))
	0.4b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
	0.2b	(+.f64 x (.f64 -6 (.f64 z (-.f64 x y))))

Compiler

Compiled 848 to 464 computations (45.3% saved)

regimes230.0ms (8.9%)

Accuracy

Total 0.2b remaining (94.2%)

Threshold costs 0.2b (94.2%)

Compiler

Compiled 4204 to 2673 computations (36.4% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
3×	`*-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	9	13
1	14	13
2	19	13
3	21	13
4	22	13
5	22	13

end1.0ms (0%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

sample678.0ms (26.3%)

Algorithm

1×

intervals

Results

297.0ms	8000×	body	128	valid
26.0ms	678×	body	128	invalid

Compiler

Compiled 164 to 101 computations (38.4% saved)

Iter	Nodes	Cost
0	9	13
1	16	13
2	33	13
3	69	13
4	130	13
5	184	13
6	266	13
7	422	13
8	589	13
9	629	13
10	629	13
11	622	13
12	622	13
13	549	13

Iter	Nodes	Cost
0	9	13
1	16	13
2	33	13
3	69	13
4	130	13
5	184	13
6	266	13
7	422	13
8	589	13
9	629	13
10	629	13
11	622	13
12	622	13
13	549	13

Details

analyze474.0ms (18.4%)

sample20.0ms (0.8%)

simplify74.0ms (2.9%)

prune1.0ms (0%)

localize6.0ms (0.2%)

rewrite52.0ms (2%)

series74.0ms (2.9%)

simplify89.0ms (3.4%)

prune67.0ms (2.6%)

localize6.0ms (0.2%)

rewrite34.0ms (1.3%)

series56.0ms (2.2%)

simplify90.0ms (3.5%)

prune18.0ms (0.7%)

localize6.0ms (0.2%)

rewrite96.0ms (3.8%)

series81.0ms (3.1%)

simplify90.0ms (3.5%)

prune39.0ms (1.5%)

localize22.0ms (0.8%)

rewrite73.0ms (2.8%)

series69.0ms (2.7%)

simplify95.0ms (3.7%)

prune27.0ms (1.1%)

regimes230.0ms (8.9%)

simplify6.0ms (0.2%)

end1.0ms (0%)

sample678.0ms (26.3%)

Profiling

Iter	Nodes	Cost
0	9	13
1	16	13
2	33	13
3	69	13
4	130	13
5	184	13
6	266	13
7	422	13
8	589	13
9	629	13
10	629	13
11	622	13
12	622	13
13	549	13