Details

analyze316.0ms (10%)

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%	56.9%	2.5%	9
45.2%	50.7%	4%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	11%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample18.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	255×	body	128	valid
1.0ms	18×	body	128	invalid
0.0ms	1×	body	512	valid

Compiler

Compiled 27 to 26 computations (3.7% saved)

simplify98.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	135	10
1	135	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

Merged error: 0.0b

Counts

2 → 2

Compiler

Compiled 27 to 25 computations (7.4% saved)

localize13.0ms (0.4%)

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))

rewrite20.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp_binary64_4550`
7×	`*-un-lft-identity_binary64_4511` `add-sqr-sqrt_binary64_4533`
5×	`pow1_binary64_4572` `add-cbrt-cube_binary64_4547` `add-exp-log_binary64_4549` `add-cube-cbrt_binary64_4546`
4×	`associate-l_binary64_4452` `sum-log_binary64_4602`
3×	`flip-+_binary64_4485` `flip3-+_binary64_4514` `associate-r_binary64_4451`
2×	`+-commutative_binary64_4441` `associate-*l/_binary64_4454`
1×	`distribute-lft-out_binary64_4462` `unswap-sqr_binary64_4479` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `associate-+l+_binary64_4444` `pow-prod-down_binary64_4582` `*-commutative_binary64_4442`

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))

series81.0ms (2.5%)

Counts

3 → 9

Calls

3 calls:

32.0ms	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
28.0ms	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))
21.0ms	(*.f64 (+.f64 d3 5) d1)

simplify66.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5048	688

prune51.0ms (1.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	52	4	56

Merged error: 0b

Counts

56 → 4

Compiler

Compiled 945 to 591 computations (37.5% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite12.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

10.0ms

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

series30.0ms (1%)

Counts

1 → 3

Calls

1 calls:

30.0ms

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

simplify75.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4981	321
1	4981	321

prune21.0ms (0.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	27	4	31

Merged error: 0b

Counts

31 → 4

Compiler

Compiled 371 to 242 computations (34.8% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 (+.f64 d3 5)))) (cbrt.f64 (*.f64 d1 (+.f64 d2 (+.f64 d3 5)))))
0.6b	(cbrt.f64 (*.f64 d1 (+.f64 d2 (+.f64 d3 5))))
0.6b	(cbrt.f64 (*.f64 d1 (+.f64 d2 (+.f64 d3 5))))
0.6b	(cbrt.f64 (*.f64 d1 (+.f64 d2 (+.f64 d3 5))))

rewrite36.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

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` `flip-+_binary64_4485` `flip3-+_binary64_4514`
8×	`*-un-lft-identity_binary64_4511` `add-cube-cbrt_binary64_4546`
7×	`cbrt-prod_binary64_4542`
6×	`add-exp-log_binary64_4549`
4×	`add-cbrt-cube_binary64_4547` `add-log-exp_binary64_4550` `associate-l_binary64_4452` `associate-r_binary64_4451` `swap-sqr_binary64_4478` `frac-times_binary64_4521`
2×	`pow-prod-up_binary64_4581` `pow-sqr_binary64_4484` `pow-prod-down_binary64_4582` `associate-*l/_binary64_4454`
1×	`pow-plus_binary64_4574` `unswap-sqr_binary64_4479` `pow2_binary64_4592` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `*-commutative_binary64_4442`

Counts

4 → 72

Calls

4 calls:

9.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d2 (+.f64 d3 5))))
7.0ms	(.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 (+.f64 d3 5)))) (cbrt.f64 (*.f64 d1 (+.f64 d2 (+.f64 d3 5)))))
6.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d2 (+.f64 d3 5))))
6.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d2 (+.f64 d3 5))))

series720.0ms (22.8%)

Counts

4 → 12

Calls

4 calls:

216.0ms	(.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 (+.f64 d3 5)))) (cbrt.f64 (*.f64 d1 (+.f64 d2 (+.f64 d3 5)))))
177.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d2 (+.f64 d3 5))))
164.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d2 (+.f64 d3 5))))
163.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d2 (+.f64 d3 5))))

simplify106.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4952	1807
1	4952	1807

prune134.0ms (4.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	84	4	88

Merged error: 0b

Counts

88 → 4

Compiler

Compiled 3036 to 2073 computations (31.7% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 d3 37) (+.f64 d3 37))
1.6b	(-.f64 (.f64 d2 d2) (.f64 (+.f64 d3 37) (+.f64 d3 37)))
8.3b	(.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 (+.f64 d3 37) (+.f64 d3 37))))
14.1b	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 (+.f64 d3 37) (+.f64 d3 37)))) (-.f64 d2 (+.f64 d3 37)))

rewrite45.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`*-un-lft-identity_binary64_4511`
20×	`add-sqr-sqrt_binary64_4533`
13×	`pow1_binary64_4572` `add-cbrt-cube_binary64_4547` `add-exp-log_binary64_4549`
12×	`add-cube-cbrt_binary64_4546`
8×	`distribute-lft-out_binary64_4462` `associate-r_binary64_4451`
7×	`associate-l_binary64_4452`
6×	`flip-+_binary64_4485` `flip3-+_binary64_4514` `add-log-exp_binary64_4550` `associate-r/_binary64_4453` `swap-sqr_binary64_4478` `associate-/r_binary64_4455` `times-frac_binary64_4517`
4×	`distribute-lft-out--_binary64_4463` `flip--_binary64_4486` `distribute-lft-in_binary64_4460` `flip3--_binary64_4515` `difference-of-squares_binary64_4480` `distribute-rgt-in_binary64_4461` `frac-times_binary64_4521`
3×	`prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `cancel-sign-sub-inv_binary64_4477` `sub-neg_binary64_4504`
2×	`associate-/l/_binary64_4458` `unswap-sqr_binary64_4479` `div-exp_binary64_4562` `associate-/r/_binary64_4457` `pow-prod-down_binary64_4582` `associate--r+_binary64_4447` `-commutative_binary64_4442` `associate-l/_binary64_4454` `cbrt-undiv_binary64_4545`
1×	`pow-prod-up_binary64_4581` `associate-/l*_binary64_4456` `pow-plus_binary64_4574` `pow2_binary64_4592` `pow-sqr_binary64_4484` `diff-log_binary64_4603` `frac-2neg_binary64_4522` `clear-num_binary64_4510` `div-inv_binary64_4508`

Counts

4 → 111

Calls

4 calls:

15.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 (+.f64 d3 37) (+.f64 d3 37)))) (-.f64 d2 (+.f64 d3 37)))
9.0ms	(*.f64 (+.f64 d3 37) (+.f64 d3 37))
7.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 (+.f64 d3 37) (+.f64 d3 37))))
4.0ms	(-.f64 (.f64 d2 d2) (.f64 (+.f64 d3 37) (+.f64 d3 37)))

series208.0ms (6.6%)

Counts

4 → 12

Calls

4 calls:

101.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 (+.f64 d3 37) (+.f64 d3 37)))) (-.f64 d2 (+.f64 d3 37)))
75.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 (+.f64 d3 37) (+.f64 d3 37))))
23.0ms	(-.f64 (.f64 d2 d2) (.f64 (+.f64 d3 37) (+.f64 d3 37)))
9.0ms	(*.f64 (+.f64 d3 37) (+.f64 d3 37))

simplify72.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4998	1937
1	4998	1937

prune133.0ms (4.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	123	4	127

Merged error: 0b

Counts

127 → 4

Compiler

Compiled 2677 to 1674 computations (37.5% saved)

regimes131.0ms (4.2%)

Compiler: Compiled 1178 to 989 computations (16% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms (0%)

sample743.0ms (23.5%)

Algorithm

1×

intervals

Results

289.0ms	7963×	body	128	valid
27.0ms	678×	body	128	invalid
2.0ms	17×	body	512	valid
2.0ms	12×	body	1024	valid
1.0ms	8×	body	256	valid

Compiler

Compiled 233 to 197 computations (15.5% saved)

Details

analyze316.0ms (10%)

sample18.0ms (0.6%)

simplify98.0ms (3.1%)

prune4.0ms (0.1%)

localize13.0ms (0.4%)

rewrite20.0ms (0.6%)

series81.0ms (2.5%)

simplify66.0ms (2.1%)

prune51.0ms (1.6%)

localize5.0ms (0.2%)

rewrite12.0ms (0.4%)

series30.0ms (1%)

simplify75.0ms (2.4%)

prune21.0ms (0.7%)

localize12.0ms (0.4%)

rewrite36.0ms (1.1%)

series720.0ms (22.8%)

simplify106.0ms (3.3%)

prune134.0ms (4.2%)

localize10.0ms (0.3%)

rewrite45.0ms (1.4%)

series208.0ms (6.6%)

simplify72.0ms (2.3%)

prune133.0ms (4.2%)

regimes131.0ms (4.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample743.0ms (23.5%)

Profiling