Details

analyze419.0ms (11%)

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
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
45.2%	51.1%	3.7%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	10.9%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample29.0ms (0.8%)

Algorithm

1×

intervals

Results

8.0ms	247×	body	128	valid
0.0ms	4×	body	1024	valid
0.0ms	15×	body	128	invalid
0.0ms	4×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 32 to 22 computations (31.3% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64` `+-commutative_binary64`
7×	`distribute-lft-out_binary64`
6×	`associate-+l+_binary64` `associate-+r+_binary64`
5×	`distribute-rgt-out_binary64`
2×	`distribute-rgt-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	19	10
2	33	10
3	43	10
4	43	10
5	43	10

prune5.0ms (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

0.0b

Counts

2 → 2

Alt Table

Status	Error	Program
	0.1b	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
▶	0.1b	(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

Compiler

Compiled 58 to 39 computations (32.8% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

rewrite34.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

8×	`*-un-lft-identity_binary64`
5×	`add-sqr-sqrt_binary64` `associate-r_binary64`
3×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `associate-l_binary64` `distribute-lft-out_binary64`
2×	`associate-*r/_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `flip3-+_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

1 → 24

Calls

1 calls:

8.0ms

(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

Compiler

Compiled 303 to 157 computations (48.2% saved)

series33.0ms (0.9%)

Error

0.0b

Counts

1 → 15

Calls

1 calls:

27.0ms

(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

Compiler

Compiled 305 to 197 computations (35.4% saved)

simplify76.0ms (2%)

Algorithm

1×	egg-herbie

Rules

847×	`unswap-sqr_binary64`
746×	`distribute-rgt-in_binary64`
739×	`distribute-lft-in_binary64`
331×	`associate-l_binary64`
295×	`sub-neg_binary64`

Counts

39 → 27

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	59	447
1	154	405
2	589	405
3	2215	405
4	2795	405
5	3749	405
6	5146	405

prune23.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	24	5	29

Error

0.0b

Counts

29 → 5

Alt Table

Status	Error	Program
	43.9b	(.f64 (.f64 (sqrt.f64 d1) (sqrt.f64 (+.f64 d3 (+.f64 d2 3)))) (*.f64 (sqrt.f64 d1) (sqrt.f64 (+.f64 d3 (+.f64 d2 3)))))
▶	0.1b	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
	27.3b	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d3 d2) (+.f64 d3 d2)))) (-.f64 3 (+.f64 d2 d3)))
	34.4b	(cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 d3 (+.f64 d2 3))) 3))
✓	0.1b	(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

Compiler

Compiled 388 to 242 computations (37.6% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
0.0b	(+.f64 (.f64 d1 3) (.f64 d1 d2))

rewrite35.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-log-exp_binary64`
4×	`sum-log_binary64`
3×	`distribute-lft-out_binary64`
2×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `flip3-+_binary64` `*-un-lft-identity_binary64` `flip-+_binary64` `+-commutative_binary64`
1×	`associate-+l+_binary64`

Counts

2 → 26

Calls

2 calls:

6.0ms	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
4.0ms	(+.f64 (.f64 d1 3) (.f64 d1 d2))

Compiler

Compiled 529 to 241 computations (54.4% saved)

series61.0ms (1.6%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

35.0ms	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
18.0ms	(+.f64 (.f64 d1 3) (.f64 d1 d2))

Compiler

Compiled 526 to 328 computations (37.6% saved)

simplify90.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

600×	`associate-l_binary64`
474×	`associate-r_binary64`
453×	`sub-neg_binary64`
395×	`distribute-rgt-in_binary64`
370×	`cancel-sign-sub-inv_binary64`

Counts

50 → 35

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	581
1	203	539
2	779	533
3	2964	530
4	4338	530
5	4964	530
6	4955	530

prune22.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	1	2	3
Picked	0	1	1
Done	1	0	1
Total	36	4	40

Error

0.0b

Counts

40 → 4

Alt Table

Status	Error	Program
	31.3b	(+.f64 (.f64 (sqrt.f64 (.f64 d1 (+.f64 d2 3))) (sqrt.f64 (.f64 d1 (+.f64 d2 3)))) (.f64 d1 d3))
✓	0.1b	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
▶	27.3b	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d3 d2) (+.f64 d3 d2)))) (-.f64 3 (+.f64 d2 d3)))
	34.4b	(cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 d3 (+.f64 d2 3))) 3))

Compiler

Compiled 413 to 259 computations (37.3% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (+.f64 d3 d2) (+.f64 d3 d2))
8.7b	(.f64 d1 (-.f64 9 (.f64 (+.f64 d3 d2) (+.f64 d3 d2))))
16.9b	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d3 d2) (+.f64 d3 d2)))) (-.f64 3 (+.f64 d2 d3)))

rewrite100.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

35×	`*-un-lft-identity_binary64`
20×	`add-sqr-sqrt_binary64`
12×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`add-cube-cbrt_binary64`
8×	`distribute-lft-out_binary64` `associate-r_binary64`

Counts

3 → 96

Calls

3 calls:

12.0ms	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d3 d2) (+.f64 d3 d2)))) (-.f64 3 (+.f64 d2 d3)))
9.0ms	(*.f64 (+.f64 d3 d2) (+.f64 d3 d2))
6.0ms	(.f64 d1 (-.f64 9 (.f64 (+.f64 d3 d2) (+.f64 d3 d2))))

Compiler

Compiled 2263 to 878 computations (61.2% saved)

series213.0ms (5.6%)

Error

Counts

3 → 54

Calls

3 calls:

82.0ms	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d3 d2) (+.f64 d3 d2)))) (-.f64 3 (+.f64 d2 d3)))
76.0ms	(.f64 d1 (-.f64 9 (.f64 (+.f64 d3 d2) (+.f64 d3 d2))))
32.0ms	(*.f64 (+.f64 d3 d2) (+.f64 d3 d2))

Compiler

Compiled 2416 to 1681 computations (30.4% saved)

simplify151.0ms (4%)

Algorithm

1×	egg-herbie

Rules

953×	`times-frac_binary64`
189×	`associate-l_binary64`
183×	`associate-r_binary64`
162×	`div-sub_binary64`
151×	`sub-neg_binary64`

Counts

150 → 135

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	237	3132
1	656	2770
2	2604	2689
3	4591	2547
4	4993	2547
5	4938	2547

prune73.0ms (1.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	133	2	135
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	135	4	139

Error

Counts

139 → 4

Alt Table

Status	Error	Program
	27.9b	(.f64 (/.f64 d1 (-.f64 3 (+.f64 d3 d2))) (-.f64 9 (+.f64 (.f64 d3 d3) (.f64 d2 (+.f64 d2 (.f64 d3 2))))))
✓	0.1b	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
✓	27.3b	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d3 d2) (+.f64 d3 d2)))) (-.f64 3 (+.f64 d2 d3)))
▶	24.5b	(/.f64 d1 (/.f64 (-.f64 3 (+.f64 d3 d2)) (-.f64 9 (pow.f64 (+.f64 d3 d2) 2))))

Compiler

Compiled 1822 to 953 computations (47.7% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(pow.f64 (+.f64 d3 d2) 2)
0.3b	(/.f64 d1 (/.f64 (-.f64 3 (+.f64 d3 d2)) (-.f64 9 (pow.f64 (+.f64 d3 d2) 2))))
22.8b	(/.f64 (-.f64 3 (+.f64 d3 d2)) (-.f64 9 (pow.f64 (+.f64 d3 d2) 2)))

rewrite319.0ms (8.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

405×	`*-un-lft-identity_binary64`
404×	`add-sqr-sqrt_binary64`
402×	`times-frac_binary64`
165×	`difference-of-squares_binary64`
136×	`add-cube-cbrt_binary64`

Counts

3 → 332

Calls

3 calls:

22.0ms	(/.f64 d1 (/.f64 (-.f64 3 (+.f64 d3 d2)) (-.f64 9 (pow.f64 (+.f64 d3 d2) 2))))
15.0ms	(/.f64 (-.f64 3 (+.f64 d3 d2)) (-.f64 9 (pow.f64 (+.f64 d3 d2) 2)))
4.0ms	(pow.f64 (+.f64 d3 d2) 2)

Compiler

Compiled 7523 to 4342 computations (42.3% saved)

series234.0ms (6.1%)

Error

Counts

3 → 53

Calls

3 calls:

82.0ms	(/.f64 d1 (/.f64 (-.f64 3 (+.f64 d3 d2)) (-.f64 9 (pow.f64 (+.f64 d3 d2) 2))))
82.0ms	(/.f64 (-.f64 3 (+.f64 d3 d2)) (-.f64 9 (pow.f64 (+.f64 d3 d2) 2)))
33.0ms	(pow.f64 (+.f64 d3 d2) 2)

Compiler

Compiled 3373 to 2551 computations (24.4% saved)

simplify312.0ms (8.2%)

Algorithm

1×	egg-herbie

Rules

374×	`associate-/r/_binary64`
338×	`div-sub_binary64`
321×	`associate-/l*_binary64`
262×	`associate-/l/_binary64`
235×	`associate-*l/_binary64`

Counts

385 → 374

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	591	14005
1	1389	12091
2	4863	12085
3	5197	12085

prune382.0ms (10%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	373	1	374
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	374	4	378

Error

Counts

378 → 4

Alt Table

Status	Error	Program
	0.1b	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
	27.3b	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d3 d2) (+.f64 d3 d2)))) (-.f64 3 (+.f64 d2 d3)))
	24.5b	(/.f64 d1 (/.f64 (-.f64 3 (+.f64 d3 d2)) (-.f64 9 (pow.f64 (+.f64 d3 d2) 2))))
	27.9b	(*.f64 (/.f64 d1 (-.f64 3 (+.f64 d2 d3))) (-.f64 9 (pow.f64 (+.f64 d3 d2) 2)))

Compiler

Compiled 5646 to 3158 computations (44.1% saved)

regimes458.0ms (12.1%)

Accuracy

Total 0.1b remaining (84.4%)

Threshold costs 0.1b (84.4%)

Compiler

Compiled 6068 to 4044 computations (33.4% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	11	10
2	11	10

end6.0ms (0.2%)

Remove: (sort d2 d3)
Compiler: Compiled 30 to 21 computations (30% saved)

sample684.0ms (18%)

Algorithm

1×

intervals

Results

250.0ms	7512×	body	128	valid
24.0ms	651×	body	128	invalid
19.0ms	218×	body	512	valid
17.0ms	151×	body	1024	valid
7.0ms	119×	body	256	valid

Compiler

Compiled 98 to 66 computations (32.7% saved)

Details

analyze419.0ms (11%)

sample29.0ms (0.8%)

simplify9.0ms (0.2%)

prune5.0ms (0.1%)

localize5.0ms (0.1%)

rewrite34.0ms (0.9%)

series33.0ms (0.9%)

simplify76.0ms (2%)

prune23.0ms (0.6%)

localize7.0ms (0.2%)

rewrite35.0ms (0.9%)

series61.0ms (1.6%)

simplify90.0ms (2.4%)

prune22.0ms (0.6%)

localize10.0ms (0.3%)

rewrite100.0ms (2.6%)

series213.0ms (5.6%)

simplify151.0ms (4%)

prune73.0ms (1.9%)

localize9.0ms (0.2%)

rewrite319.0ms (8.4%)

series234.0ms (6.1%)

simplify312.0ms (8.2%)

prune382.0ms (10%)

regimes458.0ms (12.1%)

simplify3.0ms (0.1%)

end6.0ms (0.2%)

sample684.0ms (18%)

Profiling