Details

analyze363.0ms (18.5%)

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
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
36.7%	60.1%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
57.6%	31.1%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample19.0ms (1%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	14×	body	128	invalid

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify22.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

52×	`cancel-sign-sub-inv_binary64`
45×	`sub-neg_binary64` `distribute-rgt-in_binary64`
43×	`associate--r+_binary64`
28×	`unsub-neg_binary64`
23×	`neg-mul-1_binary64` `distribute-rgt-neg-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	16	13
2	26	13
3	42	13
4	87	12
5	122	10
6	168	10
7	291	10
8	345	10
9	353	10
10	344	10
11	301	10

prune4.0ms (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
	0.0b	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
▶	0.0b	(+.f64 y (*.f64 x (-.f64 z y)))

Compiler

Compiled 54 to 34 computations (37% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite53.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`add-sqr-sqrt_binary64` `cancel-sign-sub-inv_binary64`
10×	`*-un-lft-identity_binary64`
8×	`add-cube-cbrt_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64` `distribute-lft-in_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sub-neg_binary64`

Counts

2 → 49

Calls

2 calls:

7.0ms	(*.f64 x (-.f64 z y))
5.0ms	(+.f64 y (*.f64 x (-.f64 z y)))

Compiler

Compiled 658 to 182 computations (72.3% saved)

series69.0ms (3.5%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

32.0ms	(+.f64 y (*.f64 x (-.f64 z y)))
26.0ms	(*.f64 x (-.f64 z y))

Compiler

Compiled 613 to 357 computations (41.8% saved)

simplify111.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

348×	`distribute-rgt-in_binary64`
334×	`distribute-lft-in_binary64`
264×	`unsub-neg_binary64`
262×	`exp-prod_binary64`
256×	`+-commutative_binary64`

Counts

82 → 50

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	99	812
1	248	764
2	730	764
3	2191	764
4	4335	764
5	5000	764
6	4909	764

prune19.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	49	1	50
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	49	3	52

Error

Counts

52 → 3

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
	23.4b	(+.f64 y (cbrt.f64 (pow.f64 (*.f64 x (-.f64 z y)) 3)))
✓	0.0b	(+.f64 y (*.f64 x (-.f64 z y)))

Compiler

Compiled 337 to 131 computations (61.1% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 1 x) y)
0.0b	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))

rewrite41.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64`
6×	`associate-l_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64`
3×	`associate-r_binary64`

Counts

2 → 34

Calls

2 calls:

7.0ms	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
7.0ms	(*.f64 (-.f64 1 x) y)

Compiler

Compiled 541 to 298 computations (44.9% saved)

series53.0ms (2.7%)

Error

Counts

2 → 27

Calls

2 calls:

31.0ms	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
16.0ms	(*.f64 (-.f64 1 x) y)

Compiler

Compiled 535 to 314 computations (41.3% saved)

simplify79.0ms (4%)

Algorithm

1×	egg-herbie

Rules

963×	`unsub-neg_binary64`
595×	`neg-sub0_binary64`
521×	`neg-mul-1_binary64`
459×	`distribute-rgt-neg-out_binary64`
457×	`associate-l_binary64`

Counts

61 → 46

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	702
1	217	618
2	601	615
3	2232	606
4	3783	606
5	5611	606

prune21.0ms (1.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	46	3	49

Error

Counts

49 → 3

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
▶	23.4b	(+.f64 y (cbrt.f64 (pow.f64 (*.f64 x (-.f64 z y)) 3)))
✓	0.0b	(+.f64 y (*.f64 x (-.f64 z y)))

Compiler

Compiled 424 to 157 computations (63% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 x (-.f64 z y))
0.0b	(+.f64 y (cbrt.f64 (pow.f64 (*.f64 x (-.f64 z y)) 3)))
0.3b	(pow.f64 (*.f64 x (-.f64 z y)) 3)
31.0b	(cbrt.f64 (pow.f64 (*.f64 x (-.f64 z y)) 3))

rewrite84.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`cbrt-prod_binary64`
6×	`add-log-exp_binary64` `associate-*r/_binary64` `cancel-sign-sub-inv_binary64`

Counts

4 → 85

Calls

4 calls:

7.0ms	(*.f64 x (-.f64 z y))
6.0ms	(pow.f64 (*.f64 x (-.f64 z y)) 3)
5.0ms	(+.f64 y (cbrt.f64 (pow.f64 (*.f64 x (-.f64 z y)) 3)))
2.0ms	(cbrt.f64 (pow.f64 (*.f64 x (-.f64 z y)) 3))

Compiler

Compiled 1340 to 593 computations (55.7% saved)

series184.0ms (9.4%)

Error

Counts

4 → 69

Calls

4 calls:

55.0ms	(pow.f64 (*.f64 x (-.f64 z y)) 3)
45.0ms	(+.f64 y (cbrt.f64 (pow.f64 (*.f64 x (-.f64 z y)) 3)))
33.0ms	(cbrt.f64 (pow.f64 (*.f64 x (-.f64 z y)) 3))
29.0ms	(*.f64 x (-.f64 z y))

Compiler

Compiled 1946 to 1338 computations (31.2% saved)

simplify75.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

605×	`distribute-rgt-in_binary64`
581×	`distribute-lft-in_binary64`
267×	`cancel-sign-sub-inv_binary64`
181×	`associate-l_binary64`
176×	`associate-r_binary64`

Counts

154 → 106

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	175	2060
1	430	1954
2	1483	1824
3	5150	1824

prune32.0ms (1.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	106	3	109

Error

Counts

109 → 3

Alt Table

Status	Error	Program
	0.0b	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
	23.4b	(+.f64 y (cbrt.f64 (pow.f64 (*.f64 x (-.f64 z y)) 3)))
	0.0b	(+.f64 y (*.f64 x (-.f64 z y)))

Compiler

Compiled 690 to 291 computations (57.8% saved)

regimes113.0ms (5.8%)

Accuracy

Total 0.0b remaining (67.8%)

Threshold costs 0.0b (67.8%)

Compiler

Compiled 1128 to 646 computations (42.7% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	10
2	16	10
3	18	10
4	19	10
5	19	10

end1.0ms (0%)

Compiler: Compiled 10 to 6 computations (40% saved)

sample597.0ms (30.4%)

Algorithm

1×

intervals

Results

227.0ms	8000×	body	128	valid
22.0ms	650×	body	128	invalid

Compiler

Compiled 61 to 41 computations (32.8% saved)

Iter	Nodes	Cost
0	9	13
1	16	13
2	26	13
3	42	13
4	87	12
5	122	10
6	168	10
7	291	10
8	345	10
9	353	10
10	344	10
11	301	10

Iter	Nodes	Cost
0	9	13
1	16	13
2	26	13
3	42	13
4	87	12
5	122	10
6	168	10
7	291	10
8	345	10
9	353	10
10	344	10
11	301	10

Details

analyze363.0ms (18.5%)

sample19.0ms (1%)

simplify22.0ms (1.1%)

prune4.0ms (0.2%)

localize6.0ms (0.3%)

rewrite53.0ms (2.7%)

series69.0ms (3.5%)

simplify111.0ms (5.6%)

prune19.0ms (1%)

localize6.0ms (0.3%)

rewrite41.0ms (2.1%)

series53.0ms (2.7%)

simplify79.0ms (4%)

prune21.0ms (1.1%)

localize8.0ms (0.4%)

rewrite84.0ms (4.3%)

series184.0ms (9.4%)

simplify75.0ms (3.8%)

prune32.0ms (1.6%)

regimes113.0ms (5.8%)

simplify3.0ms (0.2%)

end1.0ms (0%)

sample597.0ms (30.4%)

Profiling

Iter	Nodes	Cost
0	9	13
1	16	13
2	26	13
3	42	13
4	87	12
5	122	10
6	168	10
7	291	10
8	345	10
9	353	10
10	344	10
11	301	10