Details

analyze210.0ms (6.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 6 to 6 computations (0% saved)

sample14.0ms (0.5%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify106.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

prune3.0ms (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 10 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 x y) 10)
0.0b	(/.f64 (+.f64 x y) 10)

rewrite11.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 33

Calls

2 calls:

8.0ms	(/.f64 (+.f64 x y) 10)
0.0ms	(/.f64 (+.f64 x y) 10)

series81.0ms (2.6%)

Counts

1 → 12

Calls

1 calls:

81.0ms

(/.f64 (+.f64 x y) 10)

Compiler

Compiled 102 to 108 computations (-5.9% saved)

simplify69.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4998	495
1	4998	495

prune37.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	3	46

Error

0.0b

Counts

46 → 3

Compiler

Compiled 434 to 236 computations (45.6% saved)

localize5.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (/.f64 10 (+.f64 x y)))
0.0b	(/.f64 10 (+.f64 x y))
0.0b	(/.f64 10 (+.f64 x y))
0.2b	(/.f64 1 (/.f64 10 (+.f64 x y)))

rewrite26.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

114×	`times-frac_binary64`
94×	`*-un-lft-identity_binary64`
62×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
22×	`associate-/r*_binary64`
16×	`distribute-lft-out_binary64`
15×	`add-exp-log_binary64`
11×	`associate-/r/_binary64`
9×	`add-cbrt-cube_binary64`
8×	`div-exp_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`cbrt-undiv_binary64`
3×	`pow1_binary64`
2×	`add-log-exp_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`inv-pow_binary64` `pow-flip_binary64`

Counts

2 → 129

Calls

4 calls:

9.0ms	(/.f64 1 (/.f64 10 (+.f64 x y)))
5.0ms	(/.f64 10 (+.f64 x y))
0.0ms	(/.f64 10 (+.f64 x y))
0.0ms	(/.f64 1 (/.f64 10 (+.f64 x y)))

series133.0ms (4.3%)

Counts

2 → 30

Calls

2 calls:

73.0ms	(/.f64 10 (+.f64 x y))
60.0ms	(/.f64 1 (/.f64 10 (+.f64 x y)))

Compiler

Compiled 477 to 450 computations (5.7% saved)

simplify117.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4946	2494
1	4946	2494

prune121.0ms (3.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	158	1	159
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	160	2	162

Error

Counts

162 → 2

Compiler

Compiled 2106 to 1227 computations (41.7% saved)

localize15.0ms (0.5%)

Local error

Found 8 expressions with local error:

0.2b	(/.f64 1 (*.f64 (cbrt.f64 (/.f64 10 (+.f64 x y))) (cbrt.f64 (/.f64 10 (+.f64 x y)))))
0.0b	(/.f64 10 (+.f64 x y))
0.0b	(/.f64 10 (+.f64 x y))
0.0b	(/.f64 10 (+.f64 x y))
0.5b	(*.f64 (cbrt.f64 (/.f64 10 (+.f64 x y))) (cbrt.f64 (/.f64 10 (+.f64 x y))))
0.6b	(cbrt.f64 (/.f64 10 (+.f64 x y)))
0.6b	(cbrt.f64 (/.f64 10 (+.f64 x y)))
0.6b	(cbrt.f64 (/.f64 10 (+.f64 x y)))

rewrite64.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`cbrt-prod_binary64`
128×	`*-un-lft-identity_binary64`
102×	`times-frac_binary64`
92×	`add-sqr-sqrt_binary64`
68×	`add-cube-cbrt_binary64`
27×	`swap-sqr_binary64` `distribute-lft-out_binary64`
21×	`associate-r_binary64` `associate-l_binary64`
14×	`associate-/r/_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64` `unswap-sqr_binary64`
7×	`cbrt-div_binary64` `flip3-+_binary64` `div-inv_binary64` `flip-+_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `associate-r/_binary64` `pow-plus_binary64` `prod-exp_binary64` `frac-times_binary64` `pow2_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 180

Calls

8 calls:

25.0ms	(*.f64 (cbrt.f64 (/.f64 10 (+.f64 x y))) (cbrt.f64 (/.f64 10 (+.f64 x y))))
5.0ms	(cbrt.f64 (/.f64 10 (+.f64 x y)))
5.0ms	(cbrt.f64 (/.f64 10 (+.f64 x y)))
5.0ms	(cbrt.f64 (/.f64 10 (+.f64 x y)))
0.0ms	(/.f64 10 (+.f64 x y))

series684.0ms (22.1%)

Counts

4 → 51

Calls

4 calls:

234.0ms	(*.f64 (cbrt.f64 (/.f64 10 (+.f64 x y))) (cbrt.f64 (/.f64 10 (+.f64 x y))))
154.0ms	(cbrt.f64 (/.f64 10 (+.f64 x y)))
150.0ms	(cbrt.f64 (/.f64 10 (+.f64 x y)))
146.0ms	(cbrt.f64 (/.f64 10 (+.f64 x y)))

Compiler

Compiled 2883 to 2529 computations (12.3% saved)

simplify88.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

231 → 231

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5283	5836

prune465.0ms (15%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	231	0	231
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	231	2	233

Error

Counts

233 → 2

Compiler

Compiled 7713 to 5119 computations (33.6% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	82	269
1	82	269

regimes113.0ms (3.6%)

Compiler: Compiled 736 to 648 computations (12% saved)

bsearch0.0ms (0%)

regimes34.0ms (1.1%)

Compiler: Compiled 52 to 80 computations (-53.8% saved)

bsearch0.0ms (0%)

regimes52.0ms (1.7%)

Compiler: Compiled 22 to 42 computations (-90.9% saved)

bsearch18.0ms (0.6%)

Steps

Iters	Range		Point
7	1.5279891909024227e+30	3.6210246578436406e+32	1.1490431571676757e+32
6	-2.913974920569642e-73	-2.384552512588886e-74	-2.832582031905886e-73

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes17.0ms (0.6%)

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

bsearch0.0ms (0%)

regimes18.0ms (0.6%)

Accuracy

Total 0.0b remaining (94.9%)

Threshold costs 0.0b (94.9%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch3.0ms (0.1%)

Compiler: Compiled 31 to 31 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	41
1	26	41

end0.0ms (0%)

sample581.0ms (18.7%)

Algorithm

1×

intervals

Results

148.0ms

8000×

body

128

valid

Compiler

Compiled 214 to 194 computations (9.3% saved)

Pareto

0.3112943085747682

Details

analyze210.0ms (6.8%)

sample14.0ms (0.5%)

simplify106.0ms (3.4%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

rewrite11.0ms (0.4%)

series81.0ms (2.6%)

simplify69.0ms (2.2%)

prune37.0ms (1.2%)

localize5.0ms (0.2%)

rewrite26.0ms (0.8%)

series133.0ms (4.3%)

simplify117.0ms (3.8%)

prune121.0ms (3.9%)

localize15.0ms (0.5%)

rewrite64.0ms (2.1%)

series684.0ms (22.1%)

simplify88.0ms (2.8%)

prune465.0ms (15%)

simplify6.0ms (0.2%)

regimes113.0ms (3.6%)

bsearch0.0ms (0%)

regimes34.0ms (1.1%)

bsearch0.0ms (0%)

regimes52.0ms (1.7%)

bsearch18.0ms (0.6%)

regimes17.0ms (0.6%)

bsearch0.0ms (0%)

regimes18.0ms (0.6%)

bsearch3.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample581.0ms (18.7%)

Profiling