Details

analyze417.0ms (19.6%)

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 17 to 12 computations (29.4% saved)

sample26.0ms (1.2%)

Algorithm

1×

intervals

Results

8.0ms	253×	body	128	valid
1.0ms	23×	body	128	invalid
0.0ms	2×	body	512	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 36 to 26 computations (27.8% saved)

simplify11.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

61×	`associate-+l+_binary64`
40×	`associate-+r+_binary64`
34×	`distribute-lft-out_binary64`
33×	`+-commutative_binary64`
20×	`distribute-rgt-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	20	16
2	40	10
3	101	10
4	155	10
5	149	10
6	135	10

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
	0.1b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
▶	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

Compiler

Compiled 62 to 43 computations (30.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

rewrite34.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

8×	`*-un-lft-identity_binary64`
5×	`associate-r_binary64`
5×	`add-sqr-sqrt_binary64`
3×	`distribute-lft-out_binary64`
3×	`associate-l_binary64`

Counts

1 → 24

Calls

1 calls:

9.0ms

(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

Compiler

Compiled 303 to 192 computations (36.6% saved)

series30.0ms (1.4%)

Error

0.0b

Counts

1 → 15

Calls

1 calls:

24.0ms

(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

Compiler

Compiled 305 to 197 computations (35.4% saved)

simplify107.0ms (5%)

Algorithm

1×	egg-herbie

Rules

569×	`distribute-rgt-in_binary64`
557×	`distribute-lft-in_binary64`
323×	`associate-l_binary64`
300×	`sub-neg_binary64`
294×	`unswap-sqr_binary64`

Counts

39 → 24

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	56	453
1	163	411
2	564	411
3	2081	411
4	2612	411
5	3399	411
6	4556	411
7	4739	411
8	4928	411

prune13.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	23	1	24
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	23	3	26

Error

0.0b

Counts

26 → 3

Alt Table

Status	Error	Program
▶	0.1b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
	38.6b	(cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 d3 (+.f64 d2 37))) 3))
✓	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

Compiler

Compiled 264 to 173 computations (34.5% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))
0.0b	(*.f64 (+.f64 d3 5) d1)
0.0b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))

rewrite56.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`add-log-exp_binary64`
7×	`*-un-lft-identity_binary64`
7×	`add-sqr-sqrt_binary64`
5×	`add-cube-cbrt_binary64`
5×	`add-cbrt-cube_binary64`

Counts

3 → 45

Calls

3 calls:

7.0ms	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
6.0ms	(*.f64 (+.f64 d3 5) d1)
4.0ms	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))

Compiler

Compiled 959 to 563 computations (41.3% saved)

series87.0ms (4.1%)

Error

0.0b

Counts

3 → 39

Calls

3 calls:

31.0ms	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))
30.0ms	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
14.0ms	(*.f64 (+.f64 d3 5) d1)

Compiler

Compiled 1039 to 671 computations (35.4% saved)

simplify91.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

686×	`distribute-rgt-in_binary64`
654×	`distribute-lft-in_binary64`
318×	`cancel-sign-sub-inv_binary64`
283×	`*-commutative_binary64`
257×	`unsub-neg_binary64`

Counts

84 → 53

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	106	1135
1	314	994
2	1051	901
3	3701	901
4	4540	901
5	4988	901

prune29.0ms (1.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	52	1	53
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	53	3	56

Error

0.0b

Counts

56 → 3

Alt Table

Status	Error	Program
✓	0.1b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
✓	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
▶	4.0b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (sqrt.f64 (+.f64 d3 5)) (.f64 d1 (sqrt.f64 (+.f64 d3 5))))) (.f64 d1 32))

Compiler

Compiled 665 to 427 computations (35.8% saved)

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 d3 5))
0.0b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (sqrt.f64 (+.f64 d3 5)) (.f64 d1 (sqrt.f64 (+.f64 d3 5))))) (.f64 d1 32))
0.3b	(*.f64 d1 (sqrt.f64 (+.f64 d3 5)))
0.3b	(.f64 (sqrt.f64 (+.f64 d3 5)) (.f64 d1 (sqrt.f64 (+.f64 d3 5))))

rewrite119.0ms (5.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`*-un-lft-identity_binary64`
16×	`sqrt-div_binary64`
15×	`add-sqr-sqrt_binary64`
13×	`sqrt-prod_binary64`
12×	`pow1_binary64`

Counts

4 → 84

Calls

4 calls:

14.0ms	(.f64 (sqrt.f64 (+.f64 d3 5)) (.f64 d1 (sqrt.f64 (+.f64 d3 5))))
7.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d3 5)))
6.0ms	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (sqrt.f64 (+.f64 d3 5)) (.f64 d1 (sqrt.f64 (+.f64 d3 5))))) (.f64 d1 32))
3.0ms	(sqrt.f64 (+.f64 d3 5))

Compiler

Compiled 2155 to 1456 computations (32.4% saved)

series101.0ms (4.7%)

Error

0.0b

Counts

4 → 39

Calls

4 calls:

32.0ms	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (sqrt.f64 (+.f64 d3 5)) (.f64 d1 (sqrt.f64 (+.f64 d3 5))))) (.f64 d1 32))
24.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d3 5)))
15.0ms	(.f64 (sqrt.f64 (+.f64 d3 5)) (.f64 d1 (sqrt.f64 (+.f64 d3 5))))
12.0ms	(sqrt.f64 (+.f64 d3 5))

Compiler

Compiled 1504 to 1051 computations (30.1% saved)

simplify116.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

454×	`cancel-sign-sub-inv_binary64`
396×	`distribute-rgt-in_binary64`
377×	`distribute-lft-in_binary64`
283×	`*-commutative_binary64`
233×	`times-frac_binary64`

Counts

123 → 93

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	167	2138
1	421	1695
2	1291	1594
3	3798	1594
4	4929	1594
5	4944	1594

prune63.0ms (2.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	93	3	96

Error

0.0b

Counts

96 → 3

Alt Table

Status	Error	Program
	0.1b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
	4.0b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (sqrt.f64 (+.f64 d3 5)) (.f64 d1 (sqrt.f64 (+.f64 d3 5))))) (.f64 d1 32))

Compiler

Compiled 1523 to 1019 computations (33.1% saved)

regimes165.0ms (7.8%)

Accuracy

Total 0.0b remaining (71.2%)

Threshold costs 0.0b (71.2%)

Compiler

Compiled 1993 to 1424 computations (28.5% 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 (0.3%)

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

sample630.0ms (29.6%)

Algorithm

1×

intervals

Results

263.0ms	7957×	body	128	valid
21.0ms	684×	body	128	invalid
2.0ms	19×	body	512	valid
1.0ms	16×	body	256	valid
1.0ms	8×	body	1024	valid

Compiler

Compiled 78 to 56 computations (28.2% saved)

Details

analyze417.0ms (19.6%)

sample26.0ms (1.2%)

simplify11.0ms (0.5%)

prune5.0ms (0.2%)

localize4.0ms (0.2%)

rewrite34.0ms (1.6%)

series30.0ms (1.4%)

simplify107.0ms (5%)

prune13.0ms (0.6%)

localize8.0ms (0.4%)

rewrite56.0ms (2.6%)

series87.0ms (4.1%)

simplify91.0ms (4.3%)

prune29.0ms (1.4%)

localize10.0ms (0.5%)

rewrite119.0ms (5.6%)

series101.0ms (4.7%)

simplify116.0ms (5.5%)

prune63.0ms (2.9%)

regimes165.0ms (7.8%)

simplify3.0ms (0.1%)

end6.0ms (0.3%)

sample630.0ms (29.6%)

Profiling