Details

analyze49.0ms (3.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
50%	50%	0.1%	6
59.3%	37.5%	3.2%	7
70.2%	23.4%	6.3%	8
74.1%	17.2%	8.7%	9
79.2%	11.3%	9.5%	10
81%	8.2%	10.8%	11
83.4%	5.6%	11%	12
84.2%	4%	11.8%	13
85.4%	2.8%	11.8%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample12.0ms (0.8%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify96.0ms (7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	128	7
1	128	7

prune2.0ms (0.1%)

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 10 to 8 computations (20% saved)

localize3.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 x y) x)
0.0b	(-.f64 (*.f64 x y) x)

rewrite6.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`cancel-sign-sub-inv_binary64_9251` `add-log-exp_binary64_9324`
2×	`add-sqr-sqrt_binary64_9307` `*-un-lft-identity_binary64_9285` `add-cube-cbrt_binary64_9320`
1×	`sub-neg_binary64_9278` `flip--_binary64_9260` `flip3--_binary64_9289` `pow1_binary64_9346` `add-cbrt-cube_binary64_9321` `diff-log_binary64_9377` `add-exp-log_binary64_9323`

Counts

1 → 14

Calls

2 calls:

5.0ms	(-.f64 (*.f64 x y) x)
0.0ms	(-.f64 (*.f64 x y) x)

series58.0ms (4.2%)

Counts

1 → 9

Calls

1 calls:

58.0ms

(-.f64 (*.f64 x y) x)

Compiler

Compiled 73 to 68 computations (6.8% saved)

simplify61.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5045	198

prune14.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	22	1	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	2	24

Error

0.0b

Counts

24 → 2

Compiler

Compiled 187 to 52 computations (72.2% saved)

localize6.0ms (0.4%)

Local error

Found 8 expressions with local error:

0.0b	(sqrt.f64 (-.f64 (*.f64 x y) x))
0.0b	(sqrt.f64 (-.f64 (*.f64 x y) x))
0.0b	(-.f64 (*.f64 x y) x)
0.0b	(-.f64 (*.f64 x y) x)
0.0b	(-.f64 (*.f64 x y) x)
0.0b	(sqrt.f64 (-.f64 (*.f64 x y) x))
0.0b	(sqrt.f64 (-.f64 (*.f64 x y) x))
0.3b	(.f64 (sqrt.f64 (-.f64 (.f64 x y) x)) (sqrt.f64 (-.f64 (*.f64 x y) x)))

rewrite37.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64_9307`
24×	`sqrt-prod_binary64_9301`
21×	`pow1_binary64_9346`
16×	`sqrt-div_binary64_9302`
15×	`*-un-lft-identity_binary64_9285` `add-cube-cbrt_binary64_9320`
10×	`sqrt-pow1_binary64_9303` `pow1/2_binary64_9365`
9×	`flip--_binary64_9260` `flip3--_binary64_9289`
8×	`swap-sqr_binary64_9252`
6×	`associate-l_binary64_9226` `associate-r_binary64_9225` `add-cbrt-cube_binary64_9321` `add-log-exp_binary64_9324` `add-exp-log_binary64_9323`
5×	`pow-prod-up_binary64_9355`
4×	`frac-times_binary64_9295` `unswap-sqr_binary64_9253` `rem-sqrt-square_binary64_9298`
3×	`cancel-sign-sub-inv_binary64_9251` `pow-prod-down_binary64_9356` `pow-sqr_binary64_9258`
2×	`associate-l/_binary64_9228` `associate-r/_binary64_9227`
1×	`cbrt-unprod_binary64_9318` `prod-exp_binary64_9334` `sub-neg_binary64_9278` `pow-plus_binary64_9348` `sqr-abs_binary64_9300` `*-commutative_binary64_9216` `sqrt-unprod_binary64_9305` `diff-log_binary64_9377` `pow2_binary64_9366` `rem-square-sqrt_binary64_9297`

Counts

4 → 102

Calls

8 calls:

13.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x y) x)) (sqrt.f64 (-.f64 (*.f64 x y) x)))
6.0ms	(sqrt.f64 (-.f64 (*.f64 x y) x))
4.0ms	(-.f64 (*.f64 x y) x)
4.0ms	(sqrt.f64 (-.f64 (*.f64 x y) x))
0.0ms	(-.f64 (*.f64 x y) x)

series243.0ms (17.7%)

Counts

4 → 33

Calls

4 calls:

67.0ms	(sqrt.f64 (-.f64 (*.f64 x y) x))
64.0ms	(sqrt.f64 (-.f64 (*.f64 x y) x))
58.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x y) x)) (sqrt.f64 (-.f64 (*.f64 x y) x)))
54.0ms	(-.f64 (*.f64 x y) x)

Compiler

Compiled 995 to 708 computations (28.8% saved)

simplify60.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5271	1653

prune80.0ms (5.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	135	2	137

Error

0.0b

Counts

137 → 2

Compiler

Compiled 2035 to 367 computations (82% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	77
1	24	77

regimes45.0ms (3.3%)

Compiler: Compiled 176 to 133 computations (24.4% saved)

bsearch0.0ms (0%)

regimes67.0ms (4.9%)

Compiler: Compiled 20 to 38 computations (-90% saved)

bsearch20.0ms (1.5%)

Steps

Iters	Range		Point
7	0.023951678011460076	3.176318202894016	1.0172632131787536
9	-163420.43417398533	-0.0572461978526713	-0.9967835047363487

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes19.0ms (1.4%)

Compiler: Compiled 14 to 32 computations (-128.6% saved)

bsearch0.0ms (0%)

regimes16.0ms (1.2%)

Accuracy

Total 0.0b remaining (27.7%)

Threshold costs 0.0b (27.7%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch3.0ms (0.2%)

Compiler: Compiled 25 to 23 computations (8% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	33
1	27	33

end0.0ms (0%)

sample470.0ms (34.2%)

Algorithm

1×

intervals

Results

156.0ms	8000×	body	128	valid
1.0ms	76×	body	128	invalid

Compiler

Compiled 83 to 70 computations (15.7% saved)

Pareto

0.5998904105355675

Details

analyze49.0ms (3.6%)

sample12.0ms (0.8%)

simplify96.0ms (7%)

prune2.0ms (0.1%)

localize3.0ms (0.2%)

rewrite6.0ms (0.4%)

series58.0ms (4.2%)

simplify61.0ms (4.4%)

prune14.0ms (1%)

localize6.0ms (0.4%)

rewrite37.0ms (2.7%)

series243.0ms (17.7%)

simplify60.0ms (4.3%)

prune80.0ms (5.8%)

simplify3.0ms (0.2%)

regimes45.0ms (3.3%)

bsearch0.0ms (0%)

regimes67.0ms (4.9%)

bsearch20.0ms (1.5%)

regimes19.0ms (1.4%)

bsearch0.0ms (0%)

regimes16.0ms (1.2%)

bsearch3.0ms (0.2%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample470.0ms (34.2%)

Profiling