Details

analyze245.0ms (13.2%)

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
50%	50%	0.1%	4
50%	50%	0.1%	5
68.7%	31.2%	0.1%	6
71.8%	28.1%	0.1%	7
73.4%	14%	12.6%	8
74.1%	13.3%	12.6%	9
74.5%	6.6%	18.8%	10
74.7%	6.4%	18.8%	11
74.8%	3.2%	22%	12
74.9%	3.2%	22%	13
74.9%	1.6%	23.5%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample17.0ms (0.9%)

Algorithm

1×

intervals

Results

6.0ms	255×	body	128	valid
0.0ms	10×	body	128	invalid
0.0ms	1×	body	256	valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify130.0ms (7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	212	10
1	212	10

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

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite9.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 15

Calls

2 calls:

6.0ms	(-.f64 (*.f64 x x) y)
0.0ms	(-.f64 (*.f64 x x) y)

series74.0ms (4%)

Counts

1 → 12

Calls

1 calls:

74.0ms

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

Compiler

Compiled 114 to 120 computations (-5.3% saved)

simplify62.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4953	214
1	4953	214

prune23.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	2	28

Error

0.0b

Counts

28 → 2

Compiler

Compiled 251 to 104 computations (58.6% saved)

localize7.0ms (0.4%)

Local error

Found 6 expressions with local error:

0.2b	(*.f64 (+.f64 x (sqrt.f64 y)) (-.f64 x (sqrt.f64 y)))
0.0b	(-.f64 x (sqrt.f64 y))
0.0b	(.f64 1/2 (.f64 (+.f64 x (sqrt.f64 y)) (-.f64 x (sqrt.f64 y))))
0.0b	(.f64 1/2 (.f64 (+.f64 x (sqrt.f64 y)) (-.f64 x (sqrt.f64 y))))
0.0b	(-.f64 x (sqrt.f64 y))
0.2b	(*.f64 (+.f64 x (sqrt.f64 y)) (-.f64 x (sqrt.f64 y)))

rewrite42.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`cancel-sign-sub-inv_binary64`
35×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
30×	`add-sqr-sqrt_binary64`
26×	`*-un-lft-identity_binary64`
23×	`sqrt-prod_binary64`
20×	`add-cube-cbrt_binary64`
12×	`associate-*r/_binary64`
10×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`frac-times_binary64`
7×	`sub-neg_binary64` `flip3--_binary64` `associate-r_binary64` `associate-l_binary64` `flip--_binary64`
6×	`flip3-+_binary64` `flip-+_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `associate-*l/_binary64`
2×	`distribute-lft-out--_binary64` `*-commutative_binary64`
1×	`diff-log_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64`

Counts

3 → 118

Calls

6 calls:

14.0ms	(.f64 1/2 (.f64 (+.f64 x (sqrt.f64 y)) (-.f64 x (sqrt.f64 y))))
12.0ms	(*.f64 (+.f64 x (sqrt.f64 y)) (-.f64 x (sqrt.f64 y)))
5.0ms	(-.f64 x (sqrt.f64 y))
0.0ms	(.f64 1/2 (.f64 (+.f64 x (sqrt.f64 y)) (-.f64 x (sqrt.f64 y))))
0.0ms	(*.f64 (+.f64 x (sqrt.f64 y)) (-.f64 x (sqrt.f64 y)))

series298.0ms (16.1%)

Counts

3 → 27

Calls

3 calls:

133.0ms	(.f64 1/2 (.f64 (+.f64 x (sqrt.f64 y)) (-.f64 x (sqrt.f64 y))))
119.0ms	(*.f64 (+.f64 x (sqrt.f64 y)) (-.f64 x (sqrt.f64 y)))
45.0ms	(-.f64 x (sqrt.f64 y))

Compiler

Compiled 435 to 410 computations (5.7% saved)

simplify77.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5060	2286

prune99.0ms (5.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	145	2	147

Error

0.0b

Counts

147 → 2

Compiler

Compiled 2217 to 636 computations (71.3% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	89	56
1	89	56

regimes72.0ms (3.9%)

Compiler: Compiled 224 to 229 computations (-2.2% saved)

bsearch0.0ms (0%)

regimes89.0ms (4.8%)

Compiler: Compiled 43 to 68 computations (-58.1% saved)

bsearch50.0ms (2.7%)

Steps

Iters	Range		Point
8	2.1403296193629638e+79	6.473528617342847e+83	2.1834298452759395e+79
7	1.0637554977474463e+52	4.926859317623372e+53	4.844413000259981e+53
8	9.871748638536765e-06	0.6400884701246073	1.0109962581521985e-05
9	-2.9950748547845213e+41	-1.2456091589148102e+32	-1.2703154764558993e+32

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes18.0ms (1%)

Compiler: Compiled 16 to 34 computations (-112.5% saved)

bsearch0.0ms (0%)

regimes18.0ms (1%)

Accuracy

Total 0.0b remaining (18.2%)

Threshold costs 0.0b (18.2%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch4.0ms (0.2%)

Compiler: Compiled 48 to 38 computations (20.8% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	56	54
1	56	54

end0.0ms (0%)

sample502.0ms (27.1%)

Algorithm

1×

intervals

Results

189.0ms	7999×	body	128	valid
4.0ms	166×	body	128	invalid
0.0ms	1×	body	256	valid

Compiler

Compiled 83 to 82 computations (1.2% saved)

Pareto

0.5922298936168693

Details

analyze245.0ms (13.2%)

sample17.0ms (0.9%)

simplify130.0ms (7%)

prune4.0ms (0.2%)

localize6.0ms (0.3%)

rewrite9.0ms (0.5%)

series74.0ms (4%)

simplify62.0ms (3.4%)

prune23.0ms (1.3%)

localize7.0ms (0.4%)

rewrite42.0ms (2.3%)

series298.0ms (16.1%)

simplify77.0ms (4.1%)

prune99.0ms (5.3%)

simplify4.0ms (0.2%)

regimes72.0ms (3.9%)

bsearch0.0ms (0%)

regimes89.0ms (4.8%)

bsearch50.0ms (2.7%)

regimes18.0ms (1%)

bsearch0.0ms (0%)

regimes18.0ms (1%)

bsearch4.0ms (0.2%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample502.0ms (27.1%)

Profiling