Details

analyze467.0ms (7.6%)

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)

sample27.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms	236×	body	128	valid
1.0ms	11×	body	1024	valid
1.0ms	23×	body	128	invalid
0.0ms	6×	body	512	valid
0.0ms	3×	body	256	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify8.0ms (0.1%)

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

0.1b

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 (0.6%)

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:

8.0ms

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

Compiler

Compiled 336 to 177 computations (47.3% saved)

series99.0ms (1.6%)

Error

0.1b

Counts

1 → 15

Calls

1 calls:

90.0ms

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

Compiler

Compiled 305 to 220 computations (27.9% saved)

simplify62.0ms (1%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5415	405

prune36.0ms (0.6%)

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 465 to 281 computations (39.6% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite35.0ms (0.6%)

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)

series226.0ms (3.7%)

Error

Counts

2 → 24

Calls

2 calls:

144.0ms	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
67.0ms	(+.f64 (.f64 d1 3) (.f64 d1 d2))

Compiler

Compiled 535 to 370 computations (30.8% saved)

simplify74.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4955	530
1	4955	530

prune39.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

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

Error

Counts

55 → 5

Compiler

Compiled 608 to 343 computations (43.6% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (+.f64 d3 d2) (+.f64 d3 d2))
6.4b	(.f64 d1 (-.f64 9 (.f64 (+.f64 d3 d2) (+.f64 d3 d2))))
18.9b	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d3 d2) (+.f64 d3 d2)))) (-.f64 3 (+.f64 d2 d3)))

rewrite134.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

35×	`*-un-lft-identity_binary64_4511`
20×	`add-sqr-sqrt_binary64_4533`
12×	`pow1_binary64_4572` `add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547`
11×	`add-cube-cbrt_binary64_4546`
8×	`distribute-lft-out_binary64_4462` `associate-r_binary64_4451`
7×	`associate-l_binary64_4452`
6×	`times-frac_binary64_4517` `associate-r/_binary64_4453` `associate-/r_binary64_4455` `flip3-+_binary64_4514` `flip-+_binary64_4485` `swap-sqr_binary64_4478`
4×	`distribute-lft-out--_binary64_4463` `frac-times_binary64_4521`
3×	`prod-exp_binary64_4560` `add-log-exp_binary64_4550` `cbrt-unprod_binary64_4544` `difference-of-squares_binary64_4480` `flip3--_binary64_4515` `flip--_binary64_4486` `distribute-rgt-in_binary64_4461` `distribute-lft-in_binary64_4460`
2×	`div-exp_binary64_4562` `cbrt-undiv_binary64_4545` `associate-/l/_binary64_4458` `associate-/r/_binary64_4457` `pow-prod-down_binary64_4582` `unswap-sqr_binary64_4479` `sub-neg_binary64_4504` `cancel-sign-sub-inv_binary64_4477` `-commutative_binary64_4442` `associate-l/_binary64_4454`
1×	`frac-2neg_binary64_4522` `clear-num_binary64_4510` `div-inv_binary64_4508` `associate-/l*_binary64_4456` `pow2_binary64_4592` `pow-prod-up_binary64_4581` `pow-plus_binary64_4574` `pow-sqr_binary64_4484`

Counts

3 → 96

Calls

3 calls:

13.0ms	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d3 d2) (+.f64 d3 d2)))) (-.f64 3 (+.f64 d2 d3)))
9.0ms	(*.f64 (+.f64 d3 d2) (+.f64 d3 d2))
6.0ms	(.f64 d1 (-.f64 9 (.f64 (+.f64 d3 d2) (+.f64 d3 d2))))

Compiler

Compiled 2559 to 1005 computations (60.7% saved)

series828.0ms (13.4%)

Error

Counts

3 → 54

Calls

3 calls:

379.0ms	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d3 d2) (+.f64 d3 d2)))) (-.f64 3 (+.f64 d2 d3)))
309.0ms	(.f64 d1 (-.f64 9 (.f64 (+.f64 d3 d2) (+.f64 d3 d2))))
93.0ms	(*.f64 (+.f64 d3 d2) (+.f64 d3 d2))

Compiler

Compiled 2784 to 2022 computations (27.4% saved)

simplify95.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4944	2551
1	4944	2551

prune138.0ms (2.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	149	1	150
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	151	4	155

Error

Counts

155 → 4

Compiler

Compiled 3065 to 1522 computations (50.3% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(pow.f64 (+.f64 d3 d2) 2)
0.3b	(/.f64 d1 (/.f64 (-.f64 3 (+.f64 d3 d2)) (-.f64 9 (pow.f64 (+.f64 d3 d2) 2))))
21.9b	(/.f64 (-.f64 3 (+.f64 d3 d2)) (-.f64 9 (pow.f64 (+.f64 d3 d2) 2)))

rewrite667.0ms (10.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

405×	`*-un-lft-identity_binary64_4511`
404×	`add-sqr-sqrt_binary64_4533`
402×	`times-frac_binary64_4517`
165×	`difference-of-squares_binary64_4480`
136×	`add-cube-cbrt_binary64_4546`
113×	`distribute-lft-out--_binary64_4463`
62×	`associate-/r*_binary64_4455`
42×	`distribute-lft-out_binary64_4462`
35×	`unpow-prod-down_binary64_4590`
32×	`unpow2_binary64_4576` `sqr-pow_binary64_4483`
11×	`add-exp-log_binary64_4549` `associate-/r/_binary64_4457`
10×	`add-cbrt-cube_binary64_4547`
9×	`associate-/l*_binary64_4456`
6×	`div-inv_binary64_4508` `flip3--_binary64_4515` `flip--_binary64_4486`
4×	`pow1_binary64_4572` `div-exp_binary64_4562` `cbrt-undiv_binary64_4545`
3×	`add-log-exp_binary64_4550` `pow-unpow_binary64_4588`
2×	`frac-2neg_binary64_4522` `clear-num_binary64_4510` `associate-/l/_binary64_4458`
1×	`div-sub_binary64_4516` `pow-pow_binary64_4583` `pow-to-exp_binary64_4580` `pow-exp_binary64_4579`

Counts

3 → 332

Calls

3 calls:

30.0ms	(/.f64 d1 (/.f64 (-.f64 3 (+.f64 d3 d2)) (-.f64 9 (pow.f64 (+.f64 d3 d2) 2))))
16.0ms	(/.f64 (-.f64 3 (+.f64 d3 d2)) (-.f64 9 (pow.f64 (+.f64 d3 d2) 2)))
5.0ms	(pow.f64 (+.f64 d3 d2) 2)

Compiler

Compiled 10546 to 6138 computations (41.8% saved)

series837.0ms (13.5%)

Error

Counts

3 → 55

Calls

3 calls:

368.0ms	(/.f64 d1 (/.f64 (-.f64 3 (+.f64 d3 d2)) (-.f64 9 (pow.f64 (+.f64 d3 d2) 2))))
301.0ms	(/.f64 (-.f64 3 (+.f64 d3 d2)) (-.f64 9 (pow.f64 (+.f64 d3 d2) 2)))
90.0ms	(pow.f64 (+.f64 d3 d2) 2)

Compiler

Compiled 3850 to 3014 computations (21.7% saved)

simplify152.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

387 → 387

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5452	12615

prune825.0ms (13.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	387	0	387
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	387	4	391

Error

Counts

391 → 4

Compiler

Compiled 10268 to 5511 computations (46.3% saved)

regimes241.0ms (3.9%)

Accuracy

Total 0.1b remaining (97.7%)

Threshold costs 0.1b (97.7%)

Compiler

Compiled 2224 to 1796 computations (19.2% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

Remove

(sort d2 d3)

Compiler

Compiled 18 to 16 computations (11.1% saved)

end0.0ms (0%)

sample1.1s (18%)

Algorithm

1×

intervals

Results

235.0ms	7504×	body	128	valid
21.0ms	172×	body	1024	valid
19.0ms	669×	body	128	invalid
15.0ms	192×	body	512	valid
7.0ms	132×	body	256	valid

Compiler

Compiled 577 to 468 computations (18.9% saved)

Details

analyze467.0ms (7.6%)

sample27.0ms (0.4%)

simplify8.0ms (0.1%)

prune4.0ms (0.1%)

localize5.0ms (0.1%)

rewrite35.0ms (0.6%)

series99.0ms (1.6%)

simplify62.0ms (1%)

prune36.0ms (0.6%)

localize7.0ms (0.1%)

rewrite35.0ms (0.6%)

series226.0ms (3.7%)

simplify74.0ms (1.2%)

prune39.0ms (0.6%)

localize10.0ms (0.2%)

rewrite134.0ms (2.2%)

series828.0ms (13.4%)

simplify95.0ms (1.5%)

prune138.0ms (2.2%)

localize9.0ms (0.1%)

rewrite667.0ms (10.8%)

series837.0ms (13.5%)

simplify152.0ms (2.5%)

prune825.0ms (13.3%)

regimes241.0ms (3.9%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

end0.0ms (0%)

sample1.1s (18%)

Profiling