Details

analyze42.0ms (3.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	37.5%	12.5%	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%	13
74.9%	0%	25%	14

Compiler

Compiled 7 to 4 computations (42.9% saved)

sample18.0ms (1.4%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 14 to 8 computations (42.9% saved)

simplify17.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

2×	`-lft-identity_binary64` `swap-sqr_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-l*_binary64` `+-commutative_binary64`
1×	`1-exp_binary64` `-rgt-identity_binary64` `associate-r_binary64` `-commutative_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	8	7
2	12	7
3	18	7
4	14	7
5	22	7
6	21	7
7	19	7

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 x (*.f64 x x))

Compiler

Compiled 12 to 6 computations (50% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (*.f64 x x))

rewrite23.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

3×	`add-log-exp_binary64`
2×	`*-un-lft-identity_binary64`
1×	`sum-log_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out_binary64` `+-commutative_binary64`

Counts

1 → 13

Calls

1 calls:

5.0ms

(+.f64 x (*.f64 x x))

Compiler

Compiled 147 to 43 computations (70.7% saved)

series30.0ms (2.4%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

24.0ms

(+.f64 x (*.f64 x x))

Compiler

Compiled 56 to 37 computations (33.9% saved)

simplify146.0ms (11.5%)

Algorithm

1×	egg-herbie

Rules

424×	`neg-mul-1_binary64`
418×	`unswap-sqr_binary64`
348×	`*-commutative_binary64`
347×	`sub-neg_binary64`
289×	`cancel-sign-sub-inv_binary64`

Counts

19 → 10

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	189
1	83	165
2	224	165
3	706	165
4	1810	165
5	3452	165
6	4545	165
7	5059	165

prune15.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	9	1	10
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	9	2	11

Error

Counts

11 → 2

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 x (+.f64 x 1))
✓	0.0b	(+.f64 x (*.f64 x x))

Compiler

Compiled 79 to 39 computations (50.6% saved)

localize6.0ms (0.5%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 x (+.f64 x 1))

rewrite38.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

5×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
4×	`associate-r_binary64`
3×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `associate-l_binary64`
2×	`associate-*r/_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `*-commutative_binary64`

Counts

1 → 23

Calls

1 calls:

12.0ms

(*.f64 x (+.f64 x 1))

Compiler

Compiled 229 to 151 computations (34.1% saved)

series24.0ms (1.9%)

Error

Counts

1 → 6

Calls

1 calls:

21.0ms

(*.f64 x (+.f64 x 1))

Compiler

Compiled 56 to 37 computations (33.9% saved)

simplify141.0ms (11.2%)

Algorithm

1×	egg-herbie

Rules

633×	`distribute-rgt-in_binary64`
500×	`distribute-lft-in_binary64`
475×	`unswap-sqr_binary64`
311×	`times-frac_binary64`
207×	`associate-+l+_binary64`

Counts

29 → 22

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	266
1	114	233
2	299	232
3	730	230
4	2432	230
5	3320	230
6	4642	230
7	5371	230

prune15.0ms (1.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	22	2	24

Error

Counts

24 → 2

Alt Table

Status	Error	Program
	0.0b	(*.f64 x (+.f64 x 1))
	0.0b	(+.f64 x (*.f64 x x))

Compiler

Compiled 147 to 58 computations (60.5% saved)

regimes91.0ms (7.2%)

Accuracy

Total 0.0b remaining (94.8%)

Threshold costs 0.0b (94.8%)

Compiler

Compiled 347 to 162 computations (53.3% saved)

simplify5.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64` `*-commutative_binary64` `+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	9	7
2	8	7

end1.0ms (0.1%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

sample639.0ms (50.7%)

Algorithm

1×

intervals

Results

230.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 26 to 16 computations (38.5% saved)

Details

analyze42.0ms (3.3%)

sample18.0ms (1.4%)

simplify17.0ms (1.4%)

prune3.0ms (0.2%)

localize5.0ms (0.4%)

rewrite23.0ms (1.8%)

series30.0ms (2.4%)

simplify146.0ms (11.5%)

prune15.0ms (1.2%)

localize6.0ms (0.5%)

rewrite38.0ms (3%)

series24.0ms (1.9%)

simplify141.0ms (11.2%)

prune15.0ms (1.2%)

regimes91.0ms (7.2%)

simplify5.0ms (0.4%)

end1.0ms (0.1%)

sample639.0ms (50.7%)

Profiling