Details

analyze255.0ms (5.5%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
31.2%	68.6%	0.1%	8
39%	57.7%	3.3%	9
47.6%	46%	6.4%	10
58.1%	35.5%	6.4%	11
62.2%	29.1%	8.7%	12
66.2%	22.7%	11.1%	13
71.3%	17.6%	11.1%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample15.0ms (0.3%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	15×	body	128	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify104.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	241	10
1	241	10

prune6.0ms (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

4.8b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.6b	(.f64 x (-.f64 1 (.f64 y z)))
0.0b	(-.f64 1 (*.f64 y z))
0.0b	(-.f64 1 (*.f64 y z))
4.6b	(.f64 x (-.f64 1 (.f64 y z)))

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_8284`
4×	`pow1_binary64_8323` `add-exp-log_binary64_8300` `add-cbrt-cube_binary64_8298` `add-log-exp_binary64_8301` `add-cube-cbrt_binary64_8297` `*-un-lft-identity_binary64_8262`
3×	`sub-neg_binary64_8255` `associate-l_binary64_8203` `associate-r_binary64_8202` `cancel-sign-sub-inv_binary64_8228`
2×	`distribute-rgt-in_binary64_8212` `associate-*r/_binary64_8204` `flip3--_binary64_8266` `distribute-lft-in_binary64_8211` `flip--_binary64_8237`
1×	`prod-exp_binary64_8311` `diff-log_binary64_8354` `unswap-sqr_binary64_8230` `cbrt-unprod_binary64_8295` `pow-prod-down_binary64_8333` `*-commutative_binary64_8193`

Counts

2 → 36

Calls

4 calls:

7.0ms	(.f64 x (-.f64 1 (.f64 y z)))
4.0ms	(-.f64 1 (*.f64 y z))
0.0ms	(-.f64 1 (*.f64 y z))
0.0ms	(.f64 x (-.f64 1 (.f64 y z)))

series166.0ms (3.6%)

Counts

2 → 27

Calls

2 calls:

113.0ms	(.f64 x (-.f64 1 (.f64 y z)))
52.0ms	(-.f64 1 (*.f64 y z))

Compiler

Compiled 274 to 270 computations (1.5% saved)

simplify68.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4989	639
1	4989	639

prune61.0ms (1.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	56	7	63
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	7	64

Error

4.7b

Counts

64 → 7

Compiler

Compiled 706 to 344 computations (51.3% saved)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.5b	(.f64 x (neg.f64 (.f64 y z)))
0.0b	(+.f64 x (.f64 x (neg.f64 (.f64 y z))))
0.0b	(+.f64 x (.f64 x (neg.f64 (.f64 y z))))
8.5b	(.f64 x (neg.f64 (.f64 y z)))

rewrite10.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_8284` `associate-r_binary64_8202`
4×	`pow1_binary64_8323` `add-exp-log_binary64_8300` `add-cbrt-cube_binary64_8298` `add-log-exp_binary64_8301` `add-cube-cbrt_binary64_8297` `*-un-lft-identity_binary64_8262`
3×	`associate-l_binary64_8203`
2×	`distribute-rgt-neg-out_binary64_8222`
1×	`flip-+_binary64_8236` `flip3-+_binary64_8265` `distribute-rgt-neg-in_binary64_8220` `prod-exp_binary64_8311` `+-commutative_binary64_8192` `unswap-sqr_binary64_8230` `unsub-neg_binary64_8256` `cbrt-unprod_binary64_8295` `pow-prod-down_binary64_8333` `distribute-lft-neg-in_binary64_8219` `sum-log_binary64_8353` `*-commutative_binary64_8193` `neg-mul-1_binary64_8258`

Counts

2 → 34

Calls

4 calls:

5.0ms	(.f64 x (neg.f64 (.f64 y z)))
3.0ms	(+.f64 x (.f64 x (neg.f64 (.f64 y z))))
0.0ms	(+.f64 x (.f64 x (neg.f64 (.f64 y z))))
0.0ms	(.f64 x (neg.f64 (.f64 y z)))

series225.0ms (4.9%)

Counts

2 → 24

Calls

2 calls:

117.0ms	(+.f64 x (.f64 x (neg.f64 (.f64 y z))))
108.0ms	(.f64 x (neg.f64 (.f64 y z)))

Compiler

Compiled 322 to 296 computations (8.1% saved)

simplify62.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4923	620
1	4923	620

prune43.0ms (0.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	59	6	65

Error

0.0b

Counts

65 → 6

Compiler

Compiled 671 to 172 computations (74.4% saved)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

6.1b	(.f64 (.f64 x y) (neg.f64 z))
0.0b	(+.f64 x (.f64 (.f64 x y) (neg.f64 z)))
0.0b	(+.f64 x (.f64 (.f64 x y) (neg.f64 z)))
6.1b	(.f64 (.f64 x y) (neg.f64 z))

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`associate-r_binary64_8202`
7×	`pow1_binary64_8323` `add-exp-log_binary64_8300` `add-cbrt-cube_binary64_8298`
5×	`add-sqr-sqrt_binary64_8284` `add-cube-cbrt_binary64_8297` `*-un-lft-identity_binary64_8262`
4×	`add-log-exp_binary64_8301`
3×	`distribute-rgt-neg-in_binary64_8220` `prod-exp_binary64_8311` `cbrt-unprod_binary64_8295` `pow-prod-down_binary64_8333` `distribute-lft-neg-in_binary64_8219`
2×	`distribute-rgt-neg-out_binary64_8222`
1×	`flip-+_binary64_8236` `flip3-+_binary64_8265` `+-commutative_binary64_8192` `unsub-neg_binary64_8256` `associate-l_binary64_8203` `sum-log_binary64_8353` `*-commutative_binary64_8193` `neg-mul-1_binary64_8258`

Counts

2 → 38

Calls

4 calls:

6.0ms	(.f64 (.f64 x y) (neg.f64 z))
3.0ms	(+.f64 x (.f64 (.f64 x y) (neg.f64 z)))
0.0ms	(+.f64 x (.f64 (.f64 x y) (neg.f64 z)))
0.0ms	(.f64 (.f64 x y) (neg.f64 z))

series211.0ms (4.5%)

Counts

2 → 24

Calls

2 calls:

107.0ms	(+.f64 x (.f64 (.f64 x y) (neg.f64 z)))
104.0ms	(.f64 (.f64 x y) (neg.f64 z))

Compiler

Compiled 322 to 296 computations (8.1% saved)

simplify66.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4964	654
1	4964	654

prune46.0ms (1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	59	3	62
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	60	8	68

Error

0.0b

Counts

68 → 8

Compiler

Compiled 731 to 187 computations (74.4% saved)

localize11.0ms (0.2%)

Local error

Found 8 expressions with local error:

6.1b	(.f64 (.f64 x y) (neg.f64 z))
0.4b	(.f64 (cbrt.f64 (.f64 (.f64 x y) (neg.f64 z))) (cbrt.f64 (.f64 (*.f64 x y) (neg.f64 z))))
0.3b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 x y) (neg.f64 z))) (cbrt.f64 (.f64 (.f64 x y) (neg.f64 z)))) (cbrt.f64 (.f64 (.f64 x y) (neg.f64 z))))
0.0b	(+.f64 x (.f64 (.f64 (cbrt.f64 (.f64 (.f64 x y) (neg.f64 z))) (cbrt.f64 (.f64 (.f64 x y) (neg.f64 z)))) (cbrt.f64 (.f64 (.f64 x y) (neg.f64 z)))))
6.1b	(.f64 (.f64 x y) (neg.f64 z))
12.6b	(cbrt.f64 (.f64 (.f64 x y) (neg.f64 z)))
12.6b	(cbrt.f64 (.f64 (.f64 x y) (neg.f64 z)))
12.6b	(cbrt.f64 (.f64 (.f64 x y) (neg.f64 z)))

rewrite27.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`associate-r_binary64_8202`
9×	`pow1_binary64_8323` `add-exp-log_binary64_8300` `add-cbrt-cube_binary64_8298`
7×	`add-sqr-sqrt_binary64_8284` `add-cube-cbrt_binary64_8297` `*-un-lft-identity_binary64_8262`
4×	`add-log-exp_binary64_8301`
3×	`distribute-rgt-neg-in_binary64_8220` `prod-exp_binary64_8311` `cbrt-prod_binary64_8293` `cbrt-unprod_binary64_8295` `pow-prod-down_binary64_8333` `distribute-lft-neg-in_binary64_8219` `pow1/3_binary64_8344`
1×	`distribute-rgt-neg-out_binary64_8222` `associate-l_binary64_8203` `*-commutative_binary64_8193` `neg-mul-1_binary64_8258`

Counts

4 → 53

Calls

8 calls:

7.0ms	(cbrt.f64 (.f64 (.f64 x y) (neg.f64 z)))
6.0ms	(.f64 (.f64 x y) (neg.f64 z))
4.0ms	(cbrt.f64 (.f64 (.f64 x y) (neg.f64 z)))
4.0ms	(cbrt.f64 (.f64 (.f64 x y) (neg.f64 z)))
0.0ms	(+.f64 x (.f64 (.f64 (cbrt.f64 (.f64 (.f64 x y) (neg.f64 z))) (cbrt.f64 (.f64 (.f64 x y) (neg.f64 z)))) (cbrt.f64 (.f64 (.f64 x y) (neg.f64 z)))))

series1.2s (26.1%)

Counts

4 → 36

Calls

4 calls:

373.0ms	(cbrt.f64 (.f64 (.f64 x y) (neg.f64 z)))
370.0ms	(cbrt.f64 (.f64 (.f64 x y) (neg.f64 z)))
359.0ms	(cbrt.f64 (.f64 (.f64 x y) (neg.f64 z)))
108.0ms	(.f64 (.f64 x y) (neg.f64 z))

Compiler

Compiled 2160 to 1350 computations (37.5% saved)

simplify104.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4892	1028
1	4892	1028

prune69.0ms (1.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	89	8	97

Error

0.0b

Counts

97 → 8

Compiler

Compiled 2459 to 323 computations (86.9% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	206	461
1	206	461

regimes402.0ms (8.7%)

Compiler: Compiled 2174 to 1703 computations (21.7% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 4 computations (-33.3% saved)

regimes45.0ms (1%)

Compiler: Compiled 75 to 117 computations (-56% saved)

bsearch13.0ms (0.3%)

Steps

Iters	Range		Point
7	3.2217769151549846e+193	4.428866999041219e+195	9.576242457062901e+194

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes136.0ms (2.9%)

Compiler: Compiled 54 to 99 computations (-83.3% saved)

bsearch81.0ms (1.8%)

Steps

Iters	Range		Point
9	2.4706903845860286e+158	2.8845154436157813e+166	2.5282516044169336e+158
10	4.927096476622181e+112	7.857647697046286e+122	1.4226742386985466e+122
5	1.2477493991302215e+56	3.630071177066496e+56	2.323875862690112e+56
8	-6.039619671844355e-54	-1.822361877642399e-58	-1.1738222486998648e-55
10	-453703241.75267524	-1.42608262710057e-05	-0.05614541918660794
8	-6.557331422565813e+130	-1.7021235377516784e+128	-3.853343159141216e+128

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes128.0ms (2.8%)

Compiler: Compiled 36 to 81 computations (-125% saved)

bsearch90.0ms (1.9%)

Steps

Iters	Range		Point
9	2.4706903845860286e+158	2.8845154436157813e+166	4.370210639005896e+158
10	4.927096476622181e+112	7.857647697046286e+122	1.0934844283865573e+117
5	1.2477493991302215e+56	3.630071177066496e+56	2.033610237273138e+56
8	-6.039619671844355e-54	-1.822361877642399e-58	-5.886549832220981e-54
10	-453703241.75267524	-1.42608262710057e-05	-7468.539230237898
8	-6.557331422565813e+130	-1.7021235377516784e+128	-3.432333500209302e+129

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes29.0ms (0.6%)

Compiler: Compiled 18 to 63 computations (-250% saved)

bsearch0.0ms (0%)

regimes27.0ms (0.6%)

Accuracy

Total 0.2b remaining (91.2%)

Threshold costs 0.2b (91.2%)

Compiler

Compiled 15 to 54 computations (-260% saved)

bsearch6.0ms (0.1%)

Compiler: Compiled 147 to 81 computations (44.9% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	175	177
1	175	177

end0.0ms (0%)

sample865.0ms (18.6%)

Algorithm

1×

intervals

Results

200.0ms	8000×	body	128	valid
20.0ms	545×	body	128	invalid

Compiler

Compiled 418 to 314 computations (24.9% saved)

Pareto

0.30605439836364734

Details

analyze255.0ms (5.5%)

sample15.0ms (0.3%)

simplify104.0ms (2.2%)

prune6.0ms (0.1%)

localize6.0ms (0.1%)

rewrite13.0ms (0.3%)

series166.0ms (3.6%)

simplify68.0ms (1.5%)

prune61.0ms (1.3%)

localize6.0ms (0.1%)

rewrite10.0ms (0.2%)

series225.0ms (4.9%)

simplify62.0ms (1.3%)

prune43.0ms (0.9%)

localize6.0ms (0.1%)

rewrite12.0ms (0.3%)

series211.0ms (4.5%)

simplify66.0ms (1.4%)

prune46.0ms (1%)

localize11.0ms (0.2%)

rewrite27.0ms (0.6%)

series1.2s (26.1%)

simplify104.0ms (2.2%)

prune69.0ms (1.5%)

simplify9.0ms (0.2%)

regimes402.0ms (8.7%)

bsearch1.0ms (0%)

regimes45.0ms (1%)

bsearch13.0ms (0.3%)

regimes136.0ms (2.9%)

bsearch81.0ms (1.8%)

regimes128.0ms (2.8%)

bsearch90.0ms (1.9%)

regimes29.0ms (0.6%)

bsearch0.0ms (0%)

regimes27.0ms (0.6%)

bsearch6.0ms (0.1%)

simplify9.0ms (0.2%)

end0.0ms (0%)

sample865.0ms (18.6%)

Profiling