Details

analyze236.0ms (6.1%)

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
12.5%	87.4%	0.1%	4
12.5%	87.4%	0.1%	5
15.6%	84.3%	0.1%	6
32.8%	67.1%	0.1%	7
38.2%	61.6%	0.1%	8
46%	53.8%	0.1%	9
62.6%	37.3%	0.1%	10
67.2%	32.7%	0.1%	11
71.1%	28.8%	0.1%	12
81.6%	18.2%	0.1%	13
84.1%	15.7%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample16.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

128

valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify171.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	56	13
1	56	13

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

Merged error: 7.3b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 1 (/.f64 y z))
7.3b	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

rewrite28.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

64×	`add-sqr-sqrt_binary64_16948`
58×	`*-un-lft-identity_binary64_16927`
44×	`times-frac_binary64_16933`
24×	`difference-of-squares_binary64_16896`
16×	`add-cube-cbrt_binary64_16959`
9×	`distribute-lft-out_binary64_16880`
8×	`associate-/r*_binary64_16873`
6×	`distribute-lft-out--_binary64_16881`
4×	`add-cbrt-cube_binary64_16960` `add-exp-log_binary64_16962` `associate-/l*_binary64_16874` `add-log-exp_binary64_16963`
2×	`flip3--_binary64_16931` `associate-/r/_binary64_16875` `pow1_binary64_16985` `flip--_binary64_16902` `associate-/l/_binary64_16876`
1×	`div-inv_binary64_16924` `div-exp_binary64_16975` `flip3-+_binary64_16930` `sub-neg_binary64_16920` `frac-2neg_binary64_16938` `flip-+_binary64_16901` `diff-log_binary64_17016` `clear-num_binary64_16926` `cbrt-undiv_binary64_16958`

Counts

2 → 76

Calls

2 calls:

13.0ms	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))
8.0ms	(-.f64 1 (/.f64 y z))

series126.0ms (3.3%)

Counts

2 → 6

Calls

2 calls:

102.0ms	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))
23.0ms	(-.f64 1 (/.f64 y z))

simplify61.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4965	1688
1	4965	1688

prune82.0ms (2.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	76	6	82
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	76	7	83

Merged error: 5.9b

Counts

83 → 7

Compiler

Compiled 1500 to 625 computations (58.3% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 1 (/.f64 y z))
0.3b	(/.f64 1 (-.f64 1 (/.f64 y z)))
7.0b	(*.f64 (+.f64 x y) (/.f64 1 (-.f64 1 (/.f64 y z))))

rewrite56.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

100×	`add-sqr-sqrt_binary64_16948`
66×	`times-frac_binary64_16933`
64×	`*-un-lft-identity_binary64_16927`
32×	`difference-of-squares_binary64_16896`
30×	`associate-r_binary64_16869`
29×	`add-cube-cbrt_binary64_16959`
16×	`add-exp-log_binary64_16962`
10×	`add-cbrt-cube_binary64_16960`
8×	`distribute-lft-out--_binary64_16881` `associate-/r*_binary64_16873`
6×	`pow1_binary64_16985`
5×	`add-log-exp_binary64_16963`
4×	`div-exp_binary64_16975` `associate-/r/_binary64_16875` `associate-l_binary64_16870` `prod-exp_binary64_16973`
3×	`unswap-sqr_binary64_16895` `flip3--_binary64_16931` `flip--_binary64_16902` `associate-/l*_binary64_16874`
2×	`div-inv_binary64_16924` `cbrt-unprod_binary64_16957` `1-exp_binary64_16968` `frac-times_binary64_16937` `rec-exp_binary64_16974` `flip3-+_binary64_16930` `flip-+_binary64_16901` `associate-*l/_binary64_16872` `cbrt-undiv_binary64_16958`
1×	`inv-pow_binary64_17009` `pow-prod-down_binary64_16995` `-commutative_binary64_16860` `pow-flip_binary64_16998` `un-div-inv_binary64_16925` `associate-r/_binary64_16871` `sub-neg_binary64_16920` `frac-2neg_binary64_16938` `distribute-lft-out_binary64_16880` `diff-log_binary64_17016` `clear-num_binary64_16926`

Counts

3 → 127

Calls

3 calls:

24.0ms	(*.f64 (+.f64 x y) (/.f64 1 (-.f64 1 (/.f64 y z))))
10.0ms	(/.f64 1 (-.f64 1 (/.f64 y z)))
8.0ms	(-.f64 1 (/.f64 y z))

series184.0ms (4.8%)

Counts

3 → 9

Calls

3 calls:

100.0ms	(*.f64 (+.f64 x y) (/.f64 1 (-.f64 1 (/.f64 y z))))
56.0ms	(/.f64 1 (-.f64 1 (/.f64 y z)))
27.0ms	(-.f64 1 (/.f64 y z))

simplify76.0ms (2%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5495	2192

prune126.0ms (3.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	134	2	136
Fresh	1	4	5
Picked	0	1	1
Done	1	0	1
Total	136	7	143

Merged error: 5.9b

Counts

143 → 7

Compiler

Compiled 2483 to 1274 computations (48.7% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 1 (/.f64 y z))
0.2b	(/.f64 1 (/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y)))
7.4b	(/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y))

rewrite79.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

318×	`times-frac_binary64_16933`
284×	`add-sqr-sqrt_binary64_16948`
278×	`*-un-lft-identity_binary64_16927`
108×	`add-cube-cbrt_binary64_16959`
88×	`difference-of-squares_binary64_16896`
42×	`associate-/r*_binary64_16873`
41×	`distribute-lft-out_binary64_16880`
22×	`distribute-lft-out--_binary64_16881`
16×	`add-exp-log_binary64_16962`
11×	`associate-/r/_binary64_16875` `associate-/l*_binary64_16874`
10×	`add-cbrt-cube_binary64_16960`
8×	`div-exp_binary64_16975`
6×	`div-inv_binary64_16924`
5×	`flip3-+_binary64_16930` `flip-+_binary64_16901` `add-log-exp_binary64_16963`
4×	`pow1_binary64_16985` `cbrt-undiv_binary64_16958`
2×	`1-exp_binary64_16968` `flip3--_binary64_16931` `rec-exp_binary64_16974` `flip--_binary64_16902` `frac-2neg_binary64_16938` `associate-/l/_binary64_16876` `clear-num_binary64_16926`
1×	`inv-pow_binary64_17009` `pow-flip_binary64_16998` `sub-neg_binary64_16920` `div-sub_binary64_16932` `diff-log_binary64_17016`

Counts

3 → 253

Calls

3 calls:

23.0ms	(/.f64 1 (/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y)))
13.0ms	(/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y))
8.0ms	(-.f64 1 (/.f64 y z))

series283.0ms (7.3%)

Counts

3 → 9

Calls

3 calls:

189.0ms	(/.f64 1 (/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y)))
71.0ms	(/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y))
23.0ms	(-.f64 1 (/.f64 y z))

simplify117.0ms (3%)

Algorithm

1×	egg-herbie

Counts

262 → 262

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5120	6697

prune254.0ms (6.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	261	1	262
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	261	8	269

Merged error: 5.9b

Counts

269 → 8

Compiler

Compiled 5565 to 2473 computations (55.6% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b	(*.f64 (/.f64 y z) (/.f64 y z))
4.6b	(/.f64 (+.f64 x y) (-.f64 1 (*.f64 (/.f64 y z) (/.f64 y z))))
12.0b	(.f64 (/.f64 (+.f64 x y) (-.f64 1 (.f64 (/.f64 y z) (/.f64 y z)))) (+.f64 1 (/.f64 y z)))

rewrite59.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

86×	`*-un-lft-identity_binary64_16927`
81×	`times-frac_binary64_16933`
79×	`add-sqr-sqrt_binary64_16948`
53×	`add-cube-cbrt_binary64_16959`
39×	`associate-l_binary64_16870`
22×	`add-cbrt-cube_binary64_16960` `add-exp-log_binary64_16962`
18×	`difference-of-squares_binary64_16896`
17×	`associate-r_binary64_16869`
13×	`swap-sqr_binary64_16894`
12×	`pow1_binary64_16985` `distribute-lft-out_binary64_16880`
6×	`unswap-sqr_binary64_16895` `div-inv_binary64_16924` `cbrt-unprod_binary64_16957` `div-exp_binary64_16975` `prod-exp_binary64_16973` `cbrt-undiv_binary64_16958`
5×	`associate-/r*_binary64_16873`
4×	`associate-/r/_binary64_16875` `associate-/l*_binary64_16874`
3×	`frac-times_binary64_16937` `associate-*r/_binary64_16871` `flip3-+_binary64_16930` `flip-+_binary64_16901` `add-log-exp_binary64_16963`
2×	`flip3--_binary64_16931` `pow-prod-down_binary64_16995` `-commutative_binary64_16860` `flip--_binary64_16902` `associate-/l/_binary64_16876` `associate-l/_binary64_16872`
1×	`pow-prod-up_binary64_16994` `distribute-lft-in_binary64_16878` `pow-plus_binary64_16987` `pow-sqr_binary64_16900` `frac-2neg_binary64_16938` `distribute-rgt-in_binary64_16879` `clear-num_binary64_16926` `pow2_binary64_17005`

Counts

3 → 164

Calls

3 calls:

19.0ms	(.f64 (/.f64 (+.f64 x y) (-.f64 1 (.f64 (/.f64 y z) (/.f64 y z)))) (+.f64 1 (/.f64 y z)))
12.0ms	(*.f64 (/.f64 y z) (/.f64 y z))
8.0ms	(/.f64 (+.f64 x y) (-.f64 1 (*.f64 (/.f64 y z) (/.f64 y z))))

series339.0ms (8.8%)

Counts

3 → 9

Calls

3 calls:

172.0ms	(.f64 (/.f64 (+.f64 x y) (-.f64 1 (.f64 (/.f64 y z) (/.f64 y z)))) (+.f64 1 (/.f64 y z)))
125.0ms	(/.f64 (+.f64 x y) (-.f64 1 (*.f64 (/.f64 y z) (/.f64 y z))))
42.0ms	(*.f64 (/.f64 y z) (/.f64 y z))

simplify85.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4955	3642
1	4955	3642

prune184.0ms (4.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	173	0	173
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	173	8	181

Merged error: 5.9b

Counts

181 → 8

Compiler

Compiled 4456 to 1891 computations (57.6% saved)

regimes235.0ms (6.1%)

Compiler: Compiled 2308 to 1630 computations (29.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	13
1	27	13

end0.0ms (0%)

sample1.0s (26.5%)

Algorithm

1×

intervals

Results

247.0ms	7997×	body	128	valid
0.0ms	1×	body	2048	valid
0.0ms	1×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 623 to 437 computations (29.9% saved)

Details

analyze236.0ms (6.1%)

sample16.0ms (0.4%)

simplify171.0ms (4.5%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite28.0ms (0.7%)

series126.0ms (3.3%)

simplify61.0ms (1.6%)

prune82.0ms (2.1%)

localize7.0ms (0.2%)

rewrite56.0ms (1.5%)

series184.0ms (4.8%)

simplify76.0ms (2%)

prune126.0ms (3.3%)

localize7.0ms (0.2%)

rewrite79.0ms (2%)

series283.0ms (7.3%)

simplify117.0ms (3%)

prune254.0ms (6.6%)

localize9.0ms (0.2%)

rewrite59.0ms (1.5%)

series339.0ms (8.8%)

simplify85.0ms (2.2%)

prune184.0ms (4.8%)

regimes235.0ms (6.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.0s (26.5%)

Profiling