Details

analyze34.0ms (1.8%)

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
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
65.6%	34.3%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample11.0ms (0.6%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify98.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite8.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64_9285`
12×	`times-frac_binary64_9291`
10×	`add-sqr-sqrt_binary64_9307` `add-cube-cbrt_binary64_9320`
4×	`distribute-lft-out_binary64_9236` `associate-/r*_binary64_9229`
3×	`add-cbrt-cube_binary64_9321` `associate-/l*_binary64_9230` `add-exp-log_binary64_9323`
2×	`associate-/r/_binary64_9231`
1×	`clear-num_binary64_9284` `div-exp_binary64_9336` `cbrt-undiv_binary64_9319` `pow1_binary64_9346` `flip-+_binary64_9259` `frac-2neg_binary64_9296` `add-log-exp_binary64_9324` `flip3-+_binary64_9288` `div-inv_binary64_9282`

Counts

1 → 33

Calls

2 calls:

5.0ms	(/.f64 x (+.f64 y x))
0.0ms	(/.f64 x (+.f64 y x))

series78.0ms (4%)

Counts

1 → 18

Calls

1 calls:

78.0ms

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

Compiler

Compiled 300 to 252 computations (16% saved)

simplify73.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	6646	629

prune34.0ms (1.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	49	2	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	3	52

Error

Counts

52 → 3

Compiler

Compiled 520 to 162 computations (68.8% saved)

localize7.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 1 (/.f64 (+.f64 x y) x))
0.0b	(/.f64 (+.f64 x y) x)
0.0b	(/.f64 (+.f64 x y) x)
0.3b	(/.f64 1 (/.f64 (+.f64 x y) x))

rewrite25.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

108×	`times-frac_binary64_9291`
92×	`*-un-lft-identity_binary64_9285`
60×	`add-sqr-sqrt_binary64_9307` `add-cube-cbrt_binary64_9320`
19×	`associate-/r*_binary64_9229`
16×	`distribute-lft-out_binary64_9236`
15×	`add-exp-log_binary64_9323`
9×	`add-cbrt-cube_binary64_9321`
8×	`div-exp_binary64_9336`
7×	`associate-/l*_binary64_9230`
6×	`div-inv_binary64_9282`
4×	`cbrt-undiv_binary64_9319`
3×	`pow1_binary64_9346`
2×	`associate-/l/_binary64_9232` `clear-num_binary64_9284` `rec-exp_binary64_9335` `frac-2neg_binary64_9296` `add-log-exp_binary64_9324` `1-exp_binary64_9329`
1×	`flip-+_binary64_9259` `inv-pow_binary64_9370` `pow-flip_binary64_9359` `associate-/r/_binary64_9231` `flip3-+_binary64_9288`

Counts

2 → 121

Calls

4 calls:

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

series154.0ms (7.9%)

Counts

2 → 30

Calls

2 calls:

78.0ms	(/.f64 1 (/.f64 (+.f64 x y) x))
76.0ms	(/.f64 (+.f64 x y) x)

Compiler

Compiled 408 to 366 computations (10.3% saved)

simplify80.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5065	2191

prune88.0ms (4.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	151	3	154

Error

Counts

154 → 3

Compiler

Compiled 1845 to 561 computations (69.6% saved)

localize7.0ms (0.3%)

Local error

Found 6 expressions with local error:

10.7b	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
0.1b	(pow.f64 (/.f64 x (+.f64 x y)) 3)
0.0b	(/.f64 x (+.f64 x y))
0.0b	(/.f64 x (+.f64 x y))
0.1b	(pow.f64 (/.f64 x (+.f64 x y)) 3)
10.7b	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))

rewrite34.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64_9285`
60×	`times-frac_binary64_9291`
46×	`add-sqr-sqrt_binary64_9307` `add-cube-cbrt_binary64_9320`
42×	`cbrt-prod_binary64_9316`
36×	`unpow-prod-down_binary64_9364` `cube-prod_binary64_9313`
16×	`distribute-lft-out_binary64_9236`
10×	`associate-/r/_binary64_9231`
8×	`add-cbrt-cube_binary64_9321` `add-exp-log_binary64_9323`
5×	`flip-+_binary64_9259` `flip3-+_binary64_9288` `div-inv_binary64_9282`
4×	`pow1_binary64_9346` `associate-/r*_binary64_9229`
3×	`add-log-exp_binary64_9324` `associate-/l*_binary64_9230` `pow-unpow_binary64_9362`
2×	`sqr-pow_binary64_9257` `unpow3_binary64_9351` `div-exp_binary64_9336` `pow-exp_binary64_9353` `cbrt-undiv_binary64_9319` `cube-mult_binary64_9315` `cube-div_binary64_9314` `rem-cube-cbrt_binary64_9308`
1×	`clear-num_binary64_9284` `cbrt-div_binary64_9317` `rem-cbrt-cube_binary64_9309` `pow-pow_binary64_9357` `frac-2neg_binary64_9296` `pow1/3_binary64_9367` `pow-to-exp_binary64_9354`

Counts

3 → 141

Calls

6 calls:

8.0ms	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
8.0ms	(pow.f64 (/.f64 x (+.f64 x y)) 3)
5.0ms	(/.f64 x (+.f64 x y))
0.0ms	(/.f64 x (+.f64 x y))
0.0ms	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))

series293.0ms (15.1%)

Counts

3 → 54

Calls

3 calls:

124.0ms	(pow.f64 (/.f64 x (+.f64 x y)) 3)
88.0ms	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
81.0ms	(/.f64 x (+.f64 x y))

Compiler

Compiled 1140 to 996 computations (12.6% saved)

simplify60.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5087	2854

prune122.0ms (6.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	195	3	198

Error

Counts

198 → 3

Compiler

Compiled 2454 to 919 computations (62.6% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	49	96
1	49	96

regimes36.0ms (1.8%)

Compiler: Compiled 140 to 134 computations (4.3% saved)

bsearch0.0ms (0%)

regimes58.0ms (3%)

Compiler: Compiled 16 to 32 computations (-100% saved)

bsearch43.0ms (2.2%)

Steps

Iters	Range		Point
9	1.7096298944742002e+39	1.1237030545435855e+45	8.799338892252848e+40
9	197819.99057816356	13827049091.699547	2195591.659336635
9	4.998628393522426e-115	3.5904752581696883e-110	3.5485864177846564e-110
8	-1.1577984827188117e+93	-7.341385106084303e+89	-7.447499202074567e+89

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes43.0ms (2.2%)

Accuracy

Total 0.0b remaining (91.7%)

Threshold costs 0.0b (91.7%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch22.0ms (1.1%)

Steps

Iters	Range		Point
9	4.998628393522426e-115	3.5904752581696883e-110	8.496609286332174e-114
8	-4.46504291393692e-76	-1.534730591962656e-79	-1.6859891939883077e-79

Compiler

Compiled 43 to 38 computations (11.6% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	55
1	50	55

end0.0ms (0%)

sample518.0ms (26.7%)

Algorithm

1×

intervals

Results

151.0ms

8000×

body

128

valid

Compiler

Compiled 113 to 106 computations (6.2% saved)

Pareto

-0.0735361402635847

Details

analyze34.0ms (1.8%)

sample11.0ms (0.6%)

simplify98.0ms (5.1%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite8.0ms (0.4%)

series78.0ms (4%)

simplify73.0ms (3.8%)

prune34.0ms (1.7%)

localize7.0ms (0.4%)

rewrite25.0ms (1.3%)

series154.0ms (7.9%)

simplify80.0ms (4.1%)

prune88.0ms (4.5%)

localize7.0ms (0.3%)

rewrite34.0ms (1.7%)

series293.0ms (15.1%)

simplify60.0ms (3.1%)

prune122.0ms (6.3%)

simplify4.0ms (0.2%)

regimes36.0ms (1.8%)

bsearch0.0ms (0%)

regimes58.0ms (3%)

bsearch43.0ms (2.2%)

regimes43.0ms (2.2%)

bsearch22.0ms (1.1%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample518.0ms (26.7%)

Profiling