Details

analyze310.0ms (9.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
12.5%	25%	62.5%	4
18.7%	12.5%	68.8%	5
21.9%	6.2%	71.9%	6
23.4%	3.1%	73.5%	7
24.2%	1.6%	74.2%	8
24.6%	0.8%	74.6%	9
24.8%	0.4%	74.8%	10
24.9%	0.2%	74.9%	11
24.9%	0.1%	75%	12
25%	0%	75%	13
25%	0%	75%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample31.0ms (1%)

Algorithm

1×

intervals

Results

17.0ms

256×

body

128

valid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify173.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	20	11
1	20	11

prune7.0ms (0.2%)

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 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize14.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (/.f64 1 x) 1)
0.0b	(-.f64 (/.f64 1 x) 1)

rewrite25.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64`
6×	`difference-of-squares_binary64` `times-frac_binary64`
3×	`add-log-exp_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub-inv_binary64`
2×	`add-cube-cbrt_binary64` `distribute-lft-out--_binary64`
1×	`sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `div-inv_binary64` `flip--_binary64`

Counts

1 → 25

Calls

2 calls:

19.0ms	(-.f64 (/.f64 1 x) 1)
0.0ms	(-.f64 (/.f64 1 x) 1)

series61.0ms (1.9%)

Counts

1 → 6

Calls

1 calls:

60.0ms

(-.f64 (/.f64 1 x) 1)

Compiler

Compiled 53 to 55 computations (-3.8% saved)

simplify154.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (137.0ms)

Iter	Nodes	Cost
0	4854	331
1	4854	331

prune56.0ms (1.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	2	32

Error

Counts

32 → 2

Compiler

Compiled 354 to 298 computations (15.8% saved)

localize17.0ms (0.5%)

Local error

Found 8 expressions with local error:

0.1b	(sqrt.f64 (-.f64 (/.f64 1 x) 1))
0.1b	(sqrt.f64 (-.f64 (/.f64 1 x) 1))
0.0b	(-.f64 (/.f64 1 x) 1)
0.0b	(-.f64 (/.f64 1 x) 1)
0.0b	(-.f64 (/.f64 1 x) 1)
0.1b	(sqrt.f64 (-.f64 (/.f64 1 x) 1))
0.1b	(sqrt.f64 (-.f64 (/.f64 1 x) 1))
0.5b	(*.f64 (sqrt.f64 (-.f64 (/.f64 1 x) 1)) (sqrt.f64 (-.f64 (/.f64 1 x) 1)))

rewrite141.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Rules

152×	`add-sqr-sqrt_binary64`
114×	`sqrt-prod_binary64`
104×	`*-un-lft-identity_binary64`
50×	`times-frac_binary64`
48×	`difference-of-squares_binary64`
31×	`swap-sqr_binary64`
27×	`difference-of-sqr-1_binary64`
22×	`distribute-lft-out--_binary64`
21×	`pow1_binary64`
17×	`associate-r_binary64` `associate-l_binary64`
16×	`sqrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`div-inv_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
9×	`flip3--_binary64` `flip--_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow-prod-up_binary64`
4×	`unswap-sqr_binary64` `rem-sqrt-square_binary64` `frac-times_binary64`
3×	`pow-prod-down_binary64` `cancel-sign-sub-inv_binary64` `pow-sqr_binary64`
2×	`associate-r/_binary64` `associate-l/_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `sqr-abs_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 180

Calls

8 calls:

58.0ms	(*.f64 (sqrt.f64 (-.f64 (/.f64 1 x) 1)) (sqrt.f64 (-.f64 (/.f64 1 x) 1)))
16.0ms	(-.f64 (/.f64 1 x) 1)
15.0ms	(sqrt.f64 (-.f64 (/.f64 1 x) 1))
15.0ms	(sqrt.f64 (-.f64 (/.f64 1 x) 1))
0.0ms	(-.f64 (/.f64 1 x) 1)

series124.0ms (4%)

Counts

4 → 17

Calls

4 calls:

41.0ms	(*.f64 (sqrt.f64 (-.f64 (/.f64 1 x) 1)) (sqrt.f64 (-.f64 (/.f64 1 x) 1)))
33.0ms	(-.f64 (/.f64 1 x) 1)
25.0ms	(sqrt.f64 (-.f64 (/.f64 1 x) 1))
25.0ms	(sqrt.f64 (-.f64 (/.f64 1 x) 1))

Compiler

Compiled 361 to 344 computations (4.7% saved)

simplify191.0ms (6.1%)

Algorithm

1×	egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 0 (126.0ms)

Iter	Nodes	Cost
0	5002	2659

prune406.0ms (12.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	197	0	197
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	197	2	199

Error

Counts

199 → 2

Compiler

Compiled 3478 to 2963 computations (14.8% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	66
1	45	66

regimes61.0ms (1.9%)

Accuracy

Total 0.0b remaining (17.4%)

Threshold costs 0.0b (17.4%)

Compiler

Compiled 98 to 98 computations (0% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	11
1	15	11

end0.0ms (0%)

sample1.4s (43.4%)

Algorithm

1×

intervals

Results

524.0ms

8000×

body

128

valid

Compiler

Compiled 143 to 144 computations (-0.7% saved)

Pareto

0.3267851753889628

Details

analyze310.0ms (9.8%)

sample31.0ms (1%)

simplify173.0ms (5.5%)

prune7.0ms (0.2%)

localize14.0ms (0.5%)

rewrite25.0ms (0.8%)

series61.0ms (1.9%)

simplify154.0ms (4.9%)

prune56.0ms (1.8%)

localize17.0ms (0.5%)

rewrite141.0ms (4.5%)

series124.0ms (4%)

simplify191.0ms (6.1%)

prune406.0ms (12.9%)

simplify5.0ms (0.2%)

regimes61.0ms (1.9%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.4s (43.4%)

Profiling