Details

analyze313.0ms (19.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	11
1	12	11
0	1	1
1	1	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

Symmetry

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample17.0ms (1.1%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

128

valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify7.0ms (0.5%)

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 1 expressions with local error:

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

rewrite58.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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` `sqrt-div_binary64` `associate-*l/_binary64` `difference-of-squares_binary64`
1×	`prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `sqrt-unprod_binary64` `flip3--_binary64` `flip--_binary64` `difference-of-sqr-1_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

1 → 36

Calls

1 calls:

13.0ms

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

Compiler

Compiled 505 to 324 computations (35.8% saved)

series39.0ms (2.4%)

Error

Counts

1 → 6

Calls

1 calls:

33.0ms

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

Compiler

Compiled 106 to 89 computations (16% saved)

simplify122.0ms (7.5%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4856	553
1	4856	553

prune33.0ms (2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	2	43

Error

Counts

43 → 2

Compiler

Compiled 506 to 317 computations (37.4% saved)

localize8.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (/.f64 1/8 x) (+.f64 1/2 (/.f64 1/16 (*.f64 x x))))
0.3b	(/.f64 1/16 (*.f64 x x))

rewrite61.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

2 → 38

Calls

2 calls:

16.0ms	(+.f64 (/.f64 1/8 x) (+.f64 1/2 (/.f64 1/16 (*.f64 x x))))
5.0ms	(/.f64 1/16 (*.f64 x x))

Compiler

Compiled 832 to 552 computations (33.7% saved)

series78.0ms (4.8%)

Error

Counts

2 → 10

Calls

2 calls:

46.0ms	(+.f64 (/.f64 1/8 x) (+.f64 1/2 (/.f64 1/16 (*.f64 x x))))
26.0ms	(/.f64 1/16 (*.f64 x x))

Compiler

Compiled 296 to 249 computations (15.9% saved)

simplify107.0ms (6.6%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4873	686
1	4873	686

prune41.0ms (2.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	48	2	50

Error

Counts

50 → 2

Compiler

Compiled 810 to 545 computations (32.7% saved)

regimes72.0ms (4.4%)

Accuracy

Total 0.3b remaining (100%)

Threshold costs 0.3b (100%)

Compiler

Compiled 441 to 343 computations (22.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	69	19
1	69	19

Removed

()

end0.0ms (0%)

sample645.0ms (40%)

Algorithm

1×

intervals

Results

229.0ms	8000×	body	128	valid
0.0ms	3×	body	128	nan

Compiler

Compiled 210 to 164 computations (21.9% saved)

Details

analyze313.0ms (19.4%)

sample17.0ms (1.1%)

simplify7.0ms (0.5%)

prune4.0ms (0.2%)

localize6.0ms (0.4%)

rewrite58.0ms (3.6%)

series39.0ms (2.4%)

simplify122.0ms (7.5%)

prune33.0ms (2%)

localize8.0ms (0.5%)

rewrite61.0ms (3.8%)

series78.0ms (4.8%)

simplify107.0ms (6.6%)

prune41.0ms (2.6%)

regimes72.0ms (4.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample645.0ms (40%)

Profiling