Details

analyze108.0ms (5.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12
74.9%	0%	25.1%	13
74.9%	0%	25.1%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample10.0ms (0.5%)

Algorithm

1×

intervals

Results

4.0ms

256×

body

128

valid

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify13.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.2b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.2b	(.f64 (.f64 x 3) x)

rewrite24.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

6×	`pow1_binary64_4572` `add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547`
3×	`pow-prod-down_binary64_4582` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `associate-r_binary64_4451`
2×	`add-cube-cbrt_binary64_4546` `add-sqr-sqrt_binary64_4533` `*-un-lft-identity_binary64_4511`
1×	`add-log-exp_binary64_4550` `associate-l_binary64_4452` `*-commutative_binary64_4442`

Counts

1 → 18

Calls

1 calls:

5.0ms

(*.f64 (*.f64 x 3) x)

Compiler

Compiled 184 to 119 computations (35.3% saved)

series28.0ms (1.3%)

Error

0.1b

Counts

1 → 3

Calls

1 calls:

25.0ms

(*.f64 (*.f64 x 3) x)

Compiler

Compiled 45 to 43 computations (4.4% saved)

simplify81.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4931	168
1	4931	168

prune33.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	17	4	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	5	22

Error

0.0b

Counts

22 → 5

Compiler

Compiled 195 to 123 computations (36.9% saved)

localize8.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.2b	(.f64 3 (.f64 x x))

rewrite19.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`pow1_binary64_4572` `add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547`
3×	`pow-prod-down_binary64_4582` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `add-sqr-sqrt_binary64_4533` `associate-l_binary64_4452`
2×	`add-cube-cbrt_binary64_4546` `*-un-lft-identity_binary64_4511`
1×	`add-log-exp_binary64_4550` `unswap-sqr_binary64_4479` `associate-r_binary64_4451` `*-commutative_binary64_4442`

Counts

1 → 19

Calls

1 calls:

6.0ms

(*.f64 3 (*.f64 x x))

Compiler

Compiled 193 to 113 computations (41.5% saved)

series26.0ms (1.3%)

Error

0.0b

Counts

1 → 3

Calls

1 calls:

25.0ms

(*.f64 3 (*.f64 x x))

Compiler

Compiled 45 to 43 computations (4.4% saved)

simplify60.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4886	180
1	4886	180

prune14.0ms (0.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	21	1	22
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	23	4	27

Error

0.0b

Counts

27 → 4

Compiler

Compiled 186 to 120 computations (35.5% saved)

localize4.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b	(.f64 (.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)))
0.4b	(*.f64 x (sqrt.f64 3))
0.4b	(*.f64 x (sqrt.f64 3))

rewrite120.0ms (5.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

46×	`pow1_binary64_4572`
19×	`pow-prod-down_binary64_4582` `add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547`
17×	`add-sqr-sqrt_binary64_4533`
13×	`associate-r_binary64_4451`
10×	`prod-exp_binary64_4560` `cbrt-unprod_binary64_4544`
9×	`add-cube-cbrt_binary64_4546` `*-un-lft-identity_binary64_4511`
8×	`sqrt-prod_binary64_4527`
7×	`associate-l_binary64_4452`
4×	`unswap-sqr_binary64_4479` `pow-prod-up_binary64_4581` `pow-sqr_binary64_4484`
3×	`add-log-exp_binary64_4550` `*-commutative_binary64_4442`
2×	`pow-plus_binary64_4574`
1×	`pow2_binary64_4592` `swap-sqr_binary64_4478`

Counts

3 → 78

Calls

3 calls:

8.0ms	(.f64 (.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)))
8.0ms	(*.f64 x (sqrt.f64 3))
5.0ms	(*.f64 x (sqrt.f64 3))

Compiler

Compiled 1097 to 870 computations (20.7% saved)

series150.0ms (7.3%)

Error

0.0b

Counts

3 → 9

Calls

3 calls:

58.0ms	(.f64 (.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)))
43.0ms	(*.f64 x (sqrt.f64 3))
41.0ms	(*.f64 x (sqrt.f64 3))

Compiler

Compiled 234 to 208 computations (11.1% saved)

simplify59.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5095	633

prune64.0ms (3.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	87	4	91

Error

0.0b

Counts

91 → 4

Compiler

Compiled 906 to 695 computations (23.3% saved)

localize13.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 3 (pow.f64 x 3/2))
0.1b	(.f64 (.f64 3 (pow.f64 x 3/2)) (sqrt.f64 x))

rewrite70.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-exp-log_binary64_4549`
13×	`associate-r_binary64_4451`
12×	`add-sqr-sqrt_binary64_4533`
10×	`prod-exp_binary64_4560`
9×	`add-cbrt-cube_binary64_4547`
7×	`add-cube-cbrt_binary64_4546` `*-un-lft-identity_binary64_4511`
4×	`pow1_binary64_4572` `cbrt-unprod_binary64_4544` `associate-l_binary64_4452` `unpow-prod-down_binary64_4590`
3×	`sqrt-prod_binary64_4527` `unswap-sqr_binary64_4479`
2×	`pow-to-exp_binary64_4580` `pow-exp_binary64_4579` `add-log-exp_binary64_4550` `*-commutative_binary64_4442` `sqr-pow_binary64_4483`
1×	`pow-prod-down_binary64_4582`

Counts

2 → 47

Calls

2 calls:

13.0ms	(.f64 (.f64 3 (pow.f64 x 3/2)) (sqrt.f64 x))
11.0ms	(*.f64 3 (pow.f64 x 3/2))

Compiler

Compiled 679 to 464 computations (31.7% saved)

series68.0ms (3.3%)

Error

0.0b

Counts

2 → 6

Calls

2 calls:

32.0ms	(*.f64 3 (pow.f64 x 3/2))
30.0ms	(.f64 (.f64 3 (pow.f64 x 3/2)) (sqrt.f64 x))

Compiler

Compiled 157 to 132 computations (15.9% saved)

simplify95.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4930	506
1	4930	506

prune64.0ms (3.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	52	1	53
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	52	5	57

Error

0.0b

Counts

57 → 5

Compiler

Compiled 562 to 366 computations (34.9% saved)

regimes122.0ms (5.9%)

Accuracy

Total 0.2b remaining (93.6%)

Threshold costs 0.2b (93.6%)

Compiler

Compiled 565 to 430 computations (23.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

end0.0ms (0%)

sample791.0ms (38.6%)

Algorithm

1×

intervals

Results

162.0ms

8000×

body

128

valid

Compiler

Compiled 251 to 192 computations (23.5% saved)

Details

analyze108.0ms (5.2%)

sample10.0ms (0.5%)

simplify13.0ms (0.6%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite24.0ms (1.2%)

series28.0ms (1.3%)

simplify81.0ms (3.9%)

prune33.0ms (1.6%)

localize8.0ms (0.4%)

rewrite19.0ms (0.9%)

series26.0ms (1.3%)

simplify60.0ms (2.9%)

prune14.0ms (0.7%)

localize4.0ms (0.2%)

rewrite120.0ms (5.9%)

series150.0ms (7.3%)

simplify59.0ms (2.9%)

prune64.0ms (3.1%)

localize13.0ms (0.6%)

rewrite70.0ms (3.4%)

series68.0ms (3.3%)

simplify95.0ms (4.6%)

prune64.0ms (3.1%)

regimes122.0ms (5.9%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample791.0ms (38.6%)

Profiling