Details

analyze472.0ms (10.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	40
1	107	40
0	3	3
1	3	3

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

Symmetry

(sort d2 d3)

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample26.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms	243×	body	128	valid
1.0ms	19×	body	128	invalid
0.0ms	4×	body	1024	valid
0.0ms	5×	body	512	valid
0.0ms	4×	body	256	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	43	10
1	43	10

prune4.0ms (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

Compiler

Compiled 25 to 23 computations (8% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite35.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

8×	`*-un-lft-identity_binary64_4511`
5×	`add-sqr-sqrt_binary64_4533` `associate-r_binary64_4451`
3×	`pow1_binary64_4572` `add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547` `add-cube-cbrt_binary64_4546` `associate-l_binary64_4452` `distribute-lft-out_binary64_4462`
2×	`associate-*r/_binary64_4453`
1×	`pow-prod-down_binary64_4582` `prod-exp_binary64_4560` `add-log-exp_binary64_4550` `cbrt-unprod_binary64_4544` `unswap-sqr_binary64_4479` `distribute-rgt-in_binary64_4461` `distribute-lft-in_binary64_4460` `flip3-+_binary64_4514` `flip-+_binary64_4485` `*-commutative_binary64_4442`

Counts

1 → 24

Calls

1 calls:

9.0ms

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

Compiler

Compiled 336 to 177 computations (47.3% saved)

series114.0ms (2.5%)

Error

0.0b

Counts

1 → 15

Calls

1 calls:

105.0ms

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

Compiler

Compiled 305 to 220 computations (27.9% saved)

simplify66.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5415	405

prune37.0ms (0.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	35	4	39
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	36	5	41

Error

Counts

41 → 5

Compiler

Compiled 478 to 291 computations (39.1% 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))

rewrite36.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-log-exp_binary64_4550`
4×	`sum-log_binary64_4602`
3×	`distribute-lft-out_binary64_4462`
2×	`pow1_binary64_4572` `add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547` `add-cube-cbrt_binary64_4546` `add-sqr-sqrt_binary64_4533` `flip3-+_binary64_4514` `*-un-lft-identity_binary64_4511` `flip-+_binary64_4485` `+-commutative_binary64_4441`
1×	`associate-+l+_binary64_4444`

Counts

2 → 26

Calls

2 calls:

7.0ms	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
4.0ms	(+.f64 (.f64 d1 3) (.f64 d1 d2))

Compiler

Compiled 526 to 241 computations (54.2% saved)

series229.0ms (4.9%)

Error

Counts

2 → 24

Calls

2 calls:

142.0ms	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
73.0ms	(+.f64 (.f64 d1 3) (.f64 d1 d2))

Compiler

Compiled 535 to 370 computations (30.8% saved)

simplify78.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4955	530
1	4955	530

prune37.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	49	1	50
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	50	5	55

Error

Counts

55 → 5

Compiler

Compiled 619 to 352 computations (43.1% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 3))) (cbrt.f64 (*.f64 d1 (+.f64 d2 3))))
0.6b	(cbrt.f64 (*.f64 d1 (+.f64 d2 3)))
0.6b	(cbrt.f64 (*.f64 d1 (+.f64 d2 3)))
0.6b	(cbrt.f64 (*.f64 d1 (+.f64 d2 3)))

rewrite135.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`associate-*r/_binary64_4453`
18×	`cbrt-div_binary64_4543`
11×	`pow1_binary64_4572`
10×	`add-sqr-sqrt_binary64_4533`
9×	`pow1/3_binary64_4593` `flip3-+_binary64_4514` `flip-+_binary64_4485`
8×	`add-cube-cbrt_binary64_4546` `*-un-lft-identity_binary64_4511`
7×	`cbrt-prod_binary64_4542`
6×	`add-exp-log_binary64_4549`
4×	`add-log-exp_binary64_4550` `add-cbrt-cube_binary64_4547` `frac-times_binary64_4521` `swap-sqr_binary64_4478` `associate-l_binary64_4452` `associate-r_binary64_4451`
2×	`pow-prod-down_binary64_4582` `pow-prod-up_binary64_4581` `pow-sqr_binary64_4484` `associate-*l/_binary64_4454`
1×	`pow2_binary64_4592` `pow-plus_binary64_4574` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `unswap-sqr_binary64_4479` `*-commutative_binary64_4442`

Counts

4 → 72

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 3))) (cbrt.f64 (*.f64 d1 (+.f64 d2 3))))
5.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d2 3)))
5.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d2 3)))
5.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d2 3)))

Compiler

Compiled 2315 to 1537 computations (33.6% saved)

series891.0ms (19.2%)

Error

Counts

4 → 49

Calls

4 calls:

250.0ms	(.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 3))) (cbrt.f64 (*.f64 d1 (+.f64 d2 3))))
188.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d2 3)))
182.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d2 3)))
180.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d2 3)))

Compiler

Compiled 4551 to 3611 computations (20.7% saved)

simplify74.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4947	2223
1	4947	2223

prune169.0ms (3.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	121	5	126

Error

Counts

126 → 5

Compiler

Compiled 3609 to 2330 computations (35.4% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 d3 (+.f64 d2 3)))
0.0b	(sqrt.f64 (+.f64 3 (+.f64 d2 d3)))
0.2b	(*.f64 d1 (sqrt.f64 (+.f64 d3 (+.f64 d2 3))))
0.3b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d3 (+.f64 d2 3)))) (sqrt.f64 (+.f64 3 (+.f64 d2 d3))))

rewrite162.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`*-un-lft-identity_binary64_4511`
21×	`sqrt-prod_binary64_4527`
18×	`sqrt-div_binary64_4528`
17×	`add-sqr-sqrt_binary64_4533`
16×	`associate-r_binary64_4451`
13×	`pow1_binary64_4572`
12×	`distribute-lft-out_binary64_4462`
11×	`add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547` `add-cube-cbrt_binary64_4546`
10×	`associate-*r/_binary64_4453`
9×	`flip3-+_binary64_4514` `flip-+_binary64_4485`
4×	`pow-prod-down_binary64_4582` `prod-exp_binary64_4560` `add-log-exp_binary64_4550` `cbrt-unprod_binary64_4544` `frac-times_binary64_4521` `associate-l_binary64_4452`
2×	`associate-l/_binary64_4454` `-commutative_binary64_4442` `unswap-sqr_binary64_4479` `pow1/2_binary64_4591` `sqrt-pow1_binary64_4529` `rem-sqrt-square_binary64_4524`

Counts

4 → 91

Calls

4 calls:

18.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d3 (+.f64 d2 3)))) (sqrt.f64 (+.f64 3 (+.f64 d2 d3))))
13.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d3 (+.f64 d2 3))))
6.0ms	(sqrt.f64 (+.f64 d3 (+.f64 d2 3)))
5.0ms	(sqrt.f64 (+.f64 3 (+.f64 d2 d3)))

Compiler

Compiled 2282 to 1450 computations (36.5% saved)

series423.0ms (9.1%)

Error

Counts

4 → 51

Calls

4 calls:

139.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d3 (+.f64 d2 3))))
105.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d3 (+.f64 d2 3)))) (sqrt.f64 (+.f64 3 (+.f64 d2 d3))))
70.0ms	(sqrt.f64 (+.f64 d3 (+.f64 d2 3)))
64.0ms	(sqrt.f64 (+.f64 3 (+.f64 d2 d3)))

Compiler

Compiled 2480 to 1930 computations (22.2% saved)

simplify129.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4927	2397
1	4927	2397

prune143.0ms (3.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	142	5	147

Error

Counts

147 → 5

Compiler

Compiled 2768 to 1808 computations (34.7% saved)

regimes225.0ms (4.9%)

Accuracy

Total 0.1b remaining (96.6%)

Threshold costs 0.1b (96.6%)

Compiler

Compiled 2020 to 1628 computations (19.4% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	16
1	15	16

Remove

(sort d2 d3)

Compiler

Compiled 22 to 18 computations (18.2% saved)

end0.0ms (0%)

sample1.1s (23.6%)

Algorithm

1×

intervals

Results

236.0ms	7487×	body	128	valid
21.0ms	211×	body	512	valid
19.0ms	677×	body	128	invalid
16.0ms	157×	body	1024	valid
8.0ms	145×	body	256	valid

Compiler

Compiled 528 to 427 computations (19.1% saved)

Details

analyze472.0ms (10.2%)

sample26.0ms (0.6%)

simplify8.0ms (0.2%)

prune4.0ms (0.1%)

localize5.0ms (0.1%)

rewrite35.0ms (0.8%)

series114.0ms (2.5%)

simplify66.0ms (1.4%)

prune37.0ms (0.8%)

localize7.0ms (0.2%)

rewrite36.0ms (0.8%)

series229.0ms (4.9%)

simplify78.0ms (1.7%)

prune37.0ms (0.8%)

localize11.0ms (0.2%)

rewrite135.0ms (2.9%)

series891.0ms (19.2%)

simplify74.0ms (1.6%)

prune169.0ms (3.7%)

localize11.0ms (0.2%)

rewrite162.0ms (3.5%)

series423.0ms (9.1%)

simplify129.0ms (2.8%)

prune143.0ms (3.1%)

regimes225.0ms (4.9%)

bsearch0.0ms (0%)

simplify9.0ms (0.2%)

end0.0ms (0%)

sample1.1s (23.6%)

Profiling