Details

analyze419.0ms (25.1%)

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)

sample28.0ms (1.7%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
0.0ms	14×	body	128	invalid

Compiler

Compiled 36 to 26 computations (27.8% saved)

simplify10.0ms (0.6%)

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 (0.3%)

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

Counts

2 → 2

Alt Table

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

Compiler

Compiled 62 to 43 computations (30.6% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite31.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

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 d2 (+.f64 d3 37)))

Compiler

Compiled 303 to 192 computations (36.6% saved)

series34.0ms (2%)

Error

Counts

1 → 15

Calls

1 calls:

26.0ms

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

Compiler

Compiled 305 to 197 computations (35.4% saved)

simplify111.0ms (6.6%)

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

prune12.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	24	2	26

Error

Counts

26 → 2

Alt Table

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

Compiler

Compiled 238 to 153 computations (35.7% saved)

localize9.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

rewrite43.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`add-log-exp_binary64`
6×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `associate-l_binary64`
3×	`sum-log_binary64` `associate-r_binary64`
2×	`flip3-+_binary64` `flip-+_binary64` `associate-*l/_binary64`

Counts

2 → 34

Calls

2 calls:

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

Compiler

Compiled 695 to 417 computations (40% saved)

series59.0ms (3.6%)

Error

Counts

2 → 24

Calls

2 calls:

33.0ms	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
18.0ms	(*.f64 (+.f64 d3 5) d1)

Compiler

Compiled 609 to 388 computations (36.3% saved)

simplify85.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

561×	`distribute-rgt-in_binary64`
546×	`distribute-lft-in_binary64`
429×	`associate-l_binary64`
337×	`associate-r_binary64`
329×	`distribute-rgt-out_binary64`

Counts

58 → 37

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	87	810
1	237	681
2	777	591
3	3024	591
4	4964	591
5	4931	591

prune22.0ms (1.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	37	0	37
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	37	2	39

Error

Counts

39 → 2

Alt Table

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

Compiler

Compiled 437 to 273 computations (37.5% saved)

regimes110.0ms (6.6%)

Accuracy

Total 0.0b remaining (60.9%)

Threshold costs 0.0b (60.9%)

Compiler

Compiled 988 to 683 computations (30.9% saved)

simplify3.0ms (0.2%)

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

end8.0ms (0.5%)

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

sample676.0ms (40.5%)

Algorithm

1×

intervals

Results

290.0ms	7958×	body	128	valid
28.0ms	686×	body	128	invalid
2.0ms	17×	body	1024	valid
1.0ms	12×	body	512	valid
1.0ms	13×	body	256	valid

Compiler

Compiled 56 to 40 computations (28.6% saved)

Details

analyze419.0ms (25.1%)

sample28.0ms (1.7%)

simplify10.0ms (0.6%)

prune5.0ms (0.3%)

localize5.0ms (0.3%)

rewrite31.0ms (1.9%)

series34.0ms (2%)

simplify111.0ms (6.6%)

prune12.0ms (0.7%)

localize9.0ms (0.5%)

rewrite43.0ms (2.6%)

series59.0ms (3.6%)

simplify85.0ms (5.1%)

prune22.0ms (1.3%)

regimes110.0ms (6.6%)

simplify3.0ms (0.2%)

end8.0ms (0.5%)

sample676.0ms (40.5%)

Profiling