Details

analyze207.0ms (13.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	50%	50%	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 7 computations (12.5% saved)

sample16.0ms (1%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

128

valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify104.0ms (6.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	11
1	12	11

prune4.0ms (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

0.5b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.5b	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
0.5b	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

rewrite17.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
14×	`sqrt-prod_binary64`
10×	`associate-l_binary64`
8×	`*-un-lft-identity_binary64`
6×	`associate-r_binary64`
5×	`pow1_binary64` `add-cube-cbrt_binary64`
4×	`unswap-sqr_binary64`
3×	`pow-prod-down_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `difference-of-squares_binary64` `sqrt-div_binary64` `associate-*l/_binary64`
1×	`add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `difference-of-sqr-1_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 36

Calls

2 calls:

12.0ms	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
0.0ms	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

series45.0ms (2.9%)

Counts

1 → 6

Calls

1 calls:

45.0ms

(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 70 to 61 computations (12.9% saved)

simplify92.0ms (6%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4856	553
1	4856	553

prune52.0ms (3.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	1	43

Error

Counts

43 → 1

Compiler

Compiled 506 to 325 computations (35.8% saved)

localize8.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.7b	(/.f64 1/16 (*.f64 x x))
0.0b	(+.f64 (/.f64 1/8 x) (+.f64 1/2 (/.f64 1/16 (*.f64 x x))))
0.0b	(+.f64 (/.f64 1/8 x) (+.f64 1/2 (/.f64 1/16 (*.f64 x x))))
0.7b	(/.f64 1/16 (*.f64 x x))

rewrite20.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64`
7×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
3×	`distribute-lft-out_binary64` `associate-/l*_binary64` `times-frac_binary64` `sum-log_binary64`
2×	`flip3-+_binary64` `pow1_binary64` `cbrt-undiv_binary64` `frac-add_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`associate-/r*_binary64` `cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `+-commutative_binary64` `associate-+r+_binary64`

Counts

2 → 38

Calls

4 calls:

12.0ms	(+.f64 (/.f64 1/8 x) (+.f64 1/2 (/.f64 1/16 (*.f64 x x))))
4.0ms	(/.f64 1/16 (*.f64 x x))
0.0ms	(+.f64 (/.f64 1/8 x) (+.f64 1/2 (/.f64 1/16 (*.f64 x x))))
0.0ms	(/.f64 1/16 (*.f64 x x))

series64.0ms (4.1%)

Counts

2 → 10

Calls

2 calls:

40.0ms	(+.f64 (/.f64 1/8 x) (+.f64 1/2 (/.f64 1/16 (*.f64 x x))))
24.0ms	(/.f64 1/16 (*.f64 x x))

Compiler

Compiled 192 to 167 computations (13% saved)

simplify84.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4873	686
1	4873	686

prune43.0ms (2.8%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	1	49

Error

Counts

49 → 1

Compiler

Compiled 810 to 545 computations (32.7% saved)

simplify7.0ms (0.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	123	261
1	123	261

regimes73.0ms (4.7%)

Compiler: Compiled 398 to 323 computations (18.8% saved)

bsearch0.0ms (0%)

regimes10.0ms (0.6%)

Compiler: Compiled 16 to 18 computations (-12.5% saved)

bsearch0.0ms (0%)

regimes9.0ms (0.6%)

Compiler: Compiled 9 to 12 computations (-33.3% saved)

bsearch0.0ms (0%)

regimes10.0ms (0.6%)

Compiler: Compiled 6 to 9 computations (-50% saved)

bsearch0.0ms (0%)

regimes7.0ms (0.5%)

Accuracy

Total 0.3b remaining (100%)

Threshold costs 0.3b (100%)

Compiler

Compiled 5 to 8 computations (-60% saved)

bsearch3.0ms (0.2%)

Compiler: Compiled 25 to 22 computations (12% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	71	35
1	71	35

end0.0ms (0%)

sample663.0ms (42.8%)

Algorithm

1×

intervals

Results

242.0ms	8000×	body	128	valid
0.0ms	3×	body	128	nan

Compiler

Compiled 199 to 163 computations (18.1% saved)

Pareto

0.8296306734491772

Details

analyze207.0ms (13.4%)

sample16.0ms (1%)

simplify104.0ms (6.7%)

prune4.0ms (0.2%)

localize6.0ms (0.4%)

rewrite17.0ms (1.1%)

series45.0ms (2.9%)

simplify92.0ms (6%)

prune52.0ms (3.4%)

localize8.0ms (0.5%)

rewrite20.0ms (1.3%)

series64.0ms (4.1%)

simplify84.0ms (5.4%)

prune43.0ms (2.8%)

simplify7.0ms (0.5%)

regimes73.0ms (4.7%)

bsearch0.0ms (0%)

regimes10.0ms (0.6%)

bsearch0.0ms (0%)

regimes9.0ms (0.6%)

bsearch0.0ms (0%)

regimes10.0ms (0.6%)

bsearch0.0ms (0%)

regimes7.0ms (0.5%)

bsearch3.0ms (0.2%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample663.0ms (42.8%)

Profiling