Details

analyze552.0ms (20.4%)

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)

sample34.0ms (1.2%)

Algorithm

1×

intervals

Results

13.0ms	254×	body	128	valid
1.0ms	19×	body	128	invalid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 36 to 26 computations (27.8% saved)

simplify13.0ms (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

prune3.0ms (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 d2 (+.f64 d3 37)))
	0.1b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))

Compiler

Compiled 62 to 43 computations (30.6% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite22.0ms (0.8%)

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:

7.0ms

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

Compiler

Compiled 303 to 192 computations (36.6% saved)

series26.0ms (1%)

Error

0.0b

Counts

1 → 15

Calls

1 calls:

20.0ms

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

Compiler

Compiled 323 to 205 computations (36.5% saved)

simplify110.0ms (4%)

Algorithm

1×	egg-herbie

Rules

961×	`distribute-rgt-in_binary64`
953×	`distribute-lft-in_binary64`
416×	`associate-l_binary64`
377×	`sub-neg_binary64`
318×	`associate-r_binary64`

Counts

39 → 31

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	453
1	157	411
2	665	411
3	2686	411
4	3040	411
5	4147	411
6	4771	411
7	4469	411
8	4963	411

prune15.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	30	3	33

Error

0.0b

Counts

33 → 3

Alt Table

Status	Error	Program
	34.3b	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 37 d3) 3))) (+.f64 (.f64 d2 d2) (-.f64 (.f64 (+.f64 d3 37) (+.f64 d3 37)) (.f64 d2 (+.f64 d3 37)))))
✓	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
▶	0.1b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))

Compiler

Compiled 358 to 217 computations (39.4% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite48.0ms (1.8%)

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:

6.0ms	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
5.0ms	(*.f64 (+.f64 d3 5) d1)
3.0ms	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))

Compiler

Compiled 959 to 563 computations (41.3% saved)

series72.0ms (2.7%)

Error

0.0b

Counts

3 → 39

Calls

3 calls:

23.0ms	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
23.0ms	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))
12.0ms	(*.f64 (+.f64 d3 5) d1)

Compiler

Compiled 1098 to 702 computations (36.1% saved)

simplify82.0ms (3%)

Algorithm

1×	egg-herbie

Rules

486×	`cancel-sign-sub-inv_binary64`
441×	`sub-neg_binary64`
358×	`distribute-rgt-out_binary64`
332×	`*-commutative_binary64`
298×	`associate-+l+_binary64`

Counts

84 → 67

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	1042
1	324	955
2	1211	898
3	2787	895
4	4362	895
5	4862	895

prune27.0ms (1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	67	3	70

Error

0.0b

Counts

70 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
▶	0.6b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (.f64 (cbrt.f64 (+.f64 d3 5)) (cbrt.f64 (+.f64 d3 5))) (.f64 d1 (cbrt.f64 (+.f64 d3 5))))) (*.f64 d1 32))
✓	0.1b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))

Compiler

Compiled 692 to 442 computations (36.1% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.8b	(*.f64 (cbrt.f64 (+.f64 d3 5)) (cbrt.f64 (+.f64 d3 5)))
0.8b	(cbrt.f64 (+.f64 d3 5))
0.8b	(cbrt.f64 (+.f64 d3 5))
0.8b	(cbrt.f64 (+.f64 d3 5))

rewrite105.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

36×	`cbrt-prod_binary64`
35×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`

Counts

4 → 95

Calls

4 calls:

13.0ms	(*.f64 (cbrt.f64 (+.f64 d3 5)) (cbrt.f64 (+.f64 d3 5)))
2.0ms	(cbrt.f64 (+.f64 d3 5))
2.0ms	(cbrt.f64 (+.f64 d3 5))
2.0ms	(cbrt.f64 (+.f64 d3 5))

Compiler

Compiled 2650 to 1876 computations (29.2% saved)

series88.0ms (3.3%)

Error

0.0b

Counts

4 → 35

Calls

4 calls:

17.0ms	(*.f64 (cbrt.f64 (+.f64 d3 5)) (cbrt.f64 (+.f64 d3 5)))
14.0ms	(cbrt.f64 (+.f64 d3 5))
14.0ms	(cbrt.f64 (+.f64 d3 5))
14.0ms	(cbrt.f64 (+.f64 d3 5))

Compiler

Compiled 2687 to 2097 computations (22% saved)

simplify140.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

426×	`times-frac_binary64`
323×	`cancel-sign-sub-inv_binary64`
321×	`associate-l_binary64`
286×	`associate-r_binary64`
267×	`unswap-sqr_binary64`

Counts

130 → 117

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	141	2032
1	311	2011
2	721	1901
3	1965	1872
4	4094	1664
5	4552	1664
6	5180	1664

prune74.0ms (2.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	117	3	120

Error

0.0b

Counts

120 → 3

Alt Table

Status	Error	Program
	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
	0.6b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (.f64 (cbrt.f64 (+.f64 d3 5)) (cbrt.f64 (+.f64 d3 5))) (.f64 d1 (cbrt.f64 (+.f64 d3 5))))) (*.f64 d1 32))
	0.1b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))

Compiler

Compiled 2263 to 1557 computations (31.2% saved)

regimes368.0ms (13.6%)

Accuracy

Total 0.0b remaining (76.2%)

Threshold costs 0.0b (76.2%)

Compiler

Compiled 6627 to 4787 computations (27.8% 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

end7.0ms (0.3%)

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

sample893.0ms (32.9%)

Algorithm

1×

intervals

Results

459.0ms	7961×	body	128	valid
39.0ms	708×	body	128	invalid
3.0ms	12×	body	1024	valid
2.0ms	17×	body	256	valid
2.0ms	10×	body	512	valid

Compiler

Compiled 83 to 60 computations (27.7% saved)

Details

analyze552.0ms (20.4%)

sample34.0ms (1.2%)

simplify13.0ms (0.5%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

rewrite22.0ms (0.8%)

series26.0ms (1%)

simplify110.0ms (4%)

prune15.0ms (0.6%)

localize9.0ms (0.3%)

rewrite48.0ms (1.8%)

series72.0ms (2.7%)

simplify82.0ms (3%)

prune27.0ms (1%)

localize14.0ms (0.5%)

rewrite105.0ms (3.9%)

series88.0ms (3.3%)

simplify140.0ms (5.2%)

prune74.0ms (2.7%)

regimes368.0ms (13.6%)

simplify3.0ms (0.1%)

end7.0ms (0.3%)

sample893.0ms (32.9%)

Profiling