Details

analyze1.1s (17.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
28.1%	68.6%	3.3%	10
29.6%	65.5%	4.9%	11
32%	61.7%	6.3%	12
35.5%	56.9%	7.6%	13
48%	38.7%	13.4%	14

Compiler

Compiled 20 to 12 computations (40% saved)

sample34.0ms (0.6%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
3.0ms	71×	body	128	invalid

Compiler

Compiled 43 to 27 computations (37.2% saved)

simplify85.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

235×	`sub-neg_binary64`
222×	`unsub-neg_binary64`
158×	`cancel-sign-sub-inv_binary64`
141×	`associate-l_binary64`
140×	`associate-r_binary64`

Counts

1 → 1

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	31	16
2	82	13
3	215	13
4	504	13
5	1179	13
6	1314	13
7	1123	13
8	1123	13
9	1203	13
10	1139	13
11	1139	13
12	1064	13

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
▶	0.0b	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
	0.0b	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))

Compiler

Compiled 77 to 46 computations (40.3% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

rewrite32.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`*-un-lft-identity_binary64`
6×	`associate-r_binary64`
5×	`add-sqr-sqrt_binary64`
3×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `associate-l_binary64` `distribute-lft-out_binary64` `distribute-lft-out--_binary64`
2×	`associate-*r/_binary64`

Counts

1 → 25

Calls

1 calls:

16.0ms

(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

Compiler

Compiled 376 to 76 computations (79.8% saved)

series61.0ms (1%)

Error

0.0b

Counts

1 → 24

Calls

1 calls:

50.0ms

(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

Compiler

Compiled 627 to 395 computations (37% saved)

simplify82.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

615×	`distribute-rgt-in_binary64`
595×	`distribute-lft-in_binary64`
408×	`associate-l_binary64`
327×	`exp-sum_binary64`
313×	`associate-r_binary64`

Counts

49 → 39

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	70	738
1	192	642
2	685	600
3	3019	600
4	4316	600
5	4966	600

prune18.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	38	3	41

Error

0.0b

Counts

41 → 3

Alt Table

Status	Error	Program
	36.9b	(/.f64 (.f64 d1 (-.f64 (.f64 d4 d4) (*.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3))))) (-.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
✓	0.0b	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
▶	0.0b	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))

Compiler

Compiled 427 to 133 computations (68.9% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
0.0b	(-.f64 (.f64 d1 d2) (.f64 d1 d3))
0.0b	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))

rewrite55.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

19×	`add-log-exp_binary64`
6×	`diff-log_binary64`
4×	`sum-log_binary64` `add-sqr-sqrt_binary64`
3×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64`
2×	`flip3--_binary64` `flip--_binary64` `associate-+l-_binary64` `associate-+l+_binary64`

Counts

3 → 45

Calls

3 calls:

9.0ms	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
6.0ms	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
4.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

Compiler

Compiled 1133 to 181 computations (84% saved)

series164.0ms (2.7%)

Error

0.0b

Counts

3 → 60

Calls

3 calls:

64.0ms	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
47.0ms	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
29.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

Compiler

Compiled 1794 to 1031 computations (42.5% saved)

simplify91.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

631×	`associate-l_binary64`
511×	`associate-r_binary64`
431×	`distribute-rgt-in_binary64`
412×	`distribute-lft-in_binary64`
213×	`times-frac_binary64`

Counts

105 → 91

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	110	1462
1	316	1234
2	1056	1207
3	4386	1207
4	5197	1207

prune49.0ms (0.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	91	3	94

Error

0.0b

Counts

94 → 3

Alt Table

Status	Error	Program
▶	36.9b	(/.f64 (.f64 d1 (-.f64 (.f64 d4 d4) (*.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3))))) (-.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
✓	0.0b	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
✓	0.0b	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))

Compiler

Compiled 826 to 225 computations (72.8% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3)))
4.7b	(-.f64 (.f64 d4 d4) (.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3))))
10.7b	(.f64 d1 (-.f64 (.f64 d4 d4) (*.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3)))))
23.9b	(/.f64 (.f64 d1 (-.f64 (.f64 d4 d4) (*.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3))))) (-.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

rewrite129.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

86×	`*-un-lft-identity_binary64`
32×	`add-sqr-sqrt_binary64`
28×	`distribute-lft-out--_binary64`
19×	`cancel-sign-sub-inv_binary64`
16×	`add-cube-cbrt_binary64`

Counts

4 → 139

Calls

4 calls:

16.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d4 d4) (*.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3))))) (-.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
15.0ms	(*.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3)))
10.0ms	(.f64 d1 (-.f64 (.f64 d4 d4) (*.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3)))))
7.0ms	(-.f64 (.f64 d4 d4) (.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3))))

Compiler

Compiled 4391 to 560 computations (87.2% saved)

series701.0ms (11.6%)

Error

0.0b

Counts

4 → 118

Calls

4 calls:

217.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d4 d4) (*.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3))))) (-.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
201.0ms	(.f64 d1 (-.f64 (.f64 d4 d4) (*.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3)))))
157.0ms	(-.f64 (.f64 d4 d4) (.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3))))
65.0ms	(*.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3)))

Compiler

Compiled 10194 to 6034 computations (40.8% saved)

simplify209.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

402×	`associate-/l*_binary64`
313×	`associate-l_binary64`
233×	`times-frac_binary64`
208×	`distribute-rgt-in_binary64`
198×	`distribute-lft-in_binary64`

Counts

257 → 208

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	483	8646
1	1439	7920
2	4844	7902
3	5033	7902

prune78.0ms (1.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	207	1	208
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	208	3	211

Error

Counts

211 → 3

Alt Table

Status	Error	Program
▶	31.3b	(/.f64 d1 (/.f64 (-.f64 d4 (-.f64 d2 (+.f64 d1 d3))) (-.f64 (.f64 d4 d4) (.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3))))))
✓	0.0b	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
✓	0.0b	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))

Compiler

Compiled 4056 to 978 computations (75.9% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3)))
0.3b	(/.f64 d1 (/.f64 (-.f64 d4 (-.f64 d2 (+.f64 d1 d3))) (-.f64 (.f64 d4 d4) (.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3))))))
4.7b	(-.f64 (.f64 d4 d4) (.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3))))
29.1b	(/.f64 (-.f64 d4 (-.f64 d2 (+.f64 d1 d3))) (-.f64 (.f64 d4 d4) (.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3)))))

rewrite223.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

349×	`*-un-lft-identity_binary64`
242×	`times-frac_binary64`
160×	`add-sqr-sqrt_binary64`
121×	`distribute-lft-out--_binary64`
108×	`add-cube-cbrt_binary64`

Counts

4 → 291

Calls

4 calls:

21.0ms	(/.f64 d1 (/.f64 (-.f64 d4 (-.f64 d2 (+.f64 d1 d3))) (-.f64 (.f64 d4 d4) (.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3))))))
15.0ms	(*.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3)))
14.0ms	(/.f64 (-.f64 d4 (-.f64 d2 (+.f64 d1 d3))) (-.f64 (.f64 d4 d4) (.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3)))))
7.0ms	(-.f64 (.f64 d4 d4) (.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3))))

Compiler

Compiled 9573 to 947 computations (90.1% saved)

series994.0ms (16.5%)

Error

Counts

4 → 119

Calls

4 calls:

427.0ms	(/.f64 (-.f64 d4 (-.f64 d2 (+.f64 d1 d3))) (-.f64 (.f64 d4 d4) (.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3)))))
220.0ms	(/.f64 d1 (/.f64 (-.f64 d4 (-.f64 d2 (+.f64 d1 d3))) (-.f64 (.f64 d4 d4) (.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3))))))
156.0ms	(-.f64 (.f64 d4 d4) (.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3))))
63.0ms	(*.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3)))

Compiler

Compiled 16656 to 10556 computations (36.6% saved)

simplify450.0ms (7.4%)

Algorithm

1×	egg-herbie

Rules

760×	`times-frac_binary64`
245×	`+-commutative_binary64`
204×	`sub-neg_binary64`
198×	`*-commutative_binary64`
188×	`associate-+r+_binary64`

Counts

410 → 291

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	1006	22583
1	2882	21852
2	4947	21756
3	4984	21756

prune132.0ms (2.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	291	0	291
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	291	3	294

Error

Counts

294 → 3

Alt Table

Status	Error	Program
	31.3b	(/.f64 d1 (/.f64 (-.f64 d4 (-.f64 d2 (+.f64 d1 d3))) (-.f64 (.f64 d4 d4) (.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3))))))
	0.0b	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
	0.0b	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))

Compiler

Compiled 8475 to 2342 computations (72.4% saved)

regimes457.0ms (7.6%)

Accuracy

Total 0.0b remaining (69.9%)

Threshold costs 0.0b (69.9%)

Compiler

Compiled 6183 to 3734 computations (39.6% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative_binary64`
6×	`*-commutative_binary64`
5×	`sub-neg_binary64`
4×	`neg-mul-1_binary64` `neg-sub0_binary64`
2×	`unsub-neg_binary64` `cancel-sign-sub-inv_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	19	16
2	29	16
3	38	16
4	46	16
5	49	16
6	50	16
7	50	16

end6.0ms (0.1%)

Remove: (sort d2 d4)
Compiler: Compiled 45 to 27 computations (40% saved)

sample871.0ms (14.4%)

Algorithm

1×

intervals

Results

318.0ms	8000×	body	128	valid
97.0ms	2420×	body	128	invalid

Compiler

Compiled 100 to 56 computations (44% saved)

Details

analyze1.1s (17.7%)

sample34.0ms (0.6%)

simplify85.0ms (1.4%)

prune5.0ms (0.1%)

localize6.0ms (0.1%)

rewrite32.0ms (0.5%)

series61.0ms (1%)

simplify82.0ms (1.4%)

prune18.0ms (0.3%)

localize10.0ms (0.2%)

rewrite55.0ms (0.9%)

series164.0ms (2.7%)

simplify91.0ms (1.5%)

prune49.0ms (0.8%)

localize13.0ms (0.2%)

rewrite129.0ms (2.1%)

series701.0ms (11.6%)

simplify209.0ms (3.5%)

prune78.0ms (1.3%)

localize12.0ms (0.2%)

rewrite223.0ms (3.7%)

series994.0ms (16.5%)

simplify450.0ms (7.4%)

prune132.0ms (2.2%)

regimes457.0ms (7.6%)

simplify4.0ms (0.1%)

end6.0ms (0.1%)

sample871.0ms (14.4%)

Profiling