Details

analyze77.0ms (1.9%)

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
12.5%	87.4%	0.1%	5
46.8%	53.1%	0.1%	6
70.2%	29.7%	0.1%	7
76.5%	23.4%	0.1%	8
83.5%	16.4%	0.1%	9
87%	12.9%	0.1%	10
91.1%	8.8%	0.1%	11
93.2%	6.7%	0.1%	12
95.4%	4.5%	0.1%	13
96.5%	3.4%	0.1%	14

Compiler

Compiled 18 to 10 computations (44.4% saved)

sample15.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

128

valid

Compiler

Compiled 35 to 21 computations (40% saved)

simplify297.0ms (7.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (131.0ms)

Iter	Nodes	Cost
0	4936	25
1	4936	25

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: 19.9b

Counts

2 → 1

Compiler

Compiled 34 to 18 computations (47.1% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (+.f64 x y) (+.f64 x y))
0.1b	(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))
19.7b	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1)))

rewrite76.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`frac-times_binary64_15589` `flip3-+_binary64_15582` `flip-+_binary64_15553`
31×	`add-exp-log_binary64_15614` `add-cbrt-cube_binary64_15612`
30×	`associate-*l/_binary64_15524`
27×	`*-un-lft-identity_binary64_15579`
26×	`associate-/r/_binary64_15527`
18×	`associate-*r/_binary64_15523`
15×	`pow1_binary64_15637`
13×	`prod-exp_binary64_15625` `cbrt-unprod_binary64_15609`
11×	`add-sqr-sqrt_binary64_15600`
9×	`distribute-lft-out_binary64_15532` `associate-r_binary64_15521`
8×	`add-cube-cbrt_binary64_15611`
6×	`cbrt-undiv_binary64_15610` `div-exp_binary64_15627` `swap-sqr_binary64_15546`
5×	`associate-l_binary64_15522`
4×	`pow-prod-down_binary64_15647`
3×	`add-log-exp_binary64_15615`
2×	`distribute-rgt-in_binary64_15531` `distribute-lft-in_binary64_15530` `*-commutative_binary64_15512` `unswap-sqr_binary64_15547`
1×	`times-frac_binary64_15585` `clear-num_binary64_15578` `associate-/r_binary64_15525` `div-inv_binary64_15576` `pow-prod-up_binary64_15646` `pow-plus_binary64_15639` `frac-2neg_binary64_15590` `pow2_binary64_15657` `associate-/l_binary64_15526` `pow-sqr_binary64_15552`

Counts

3 → 140

Calls

3 calls:

22.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1)))
20.0ms	(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))
10.0ms	(*.f64 (+.f64 x y) (+.f64 x y))

series321.0ms (8%)

Counts

3 → 9

Calls

3 calls:

222.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1)))
72.0ms	(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))
26.0ms	(*.f64 (+.f64 x y) (+.f64 x y))

simplify88.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4962	3602
1	4962	3602

prune184.0ms (4.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	139	10	149
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	140	10	150

Merged error: 7.8b

Counts

150 → 10

Compiler

Compiled 4235 to 1689 computations (60.1% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (+.f64 x y) 2)
0.1b	(/.f64 (*.f64 y (/.f64 x (pow.f64 (+.f64 x y) 2))) (+.f64 (+.f64 x y) 1))
10.2b	(*.f64 y (/.f64 x (pow.f64 (+.f64 x y) 2)))
17.2b	(/.f64 x (pow.f64 (+.f64 x y) 2))

rewrite64.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

69×	`*-un-lft-identity_binary64_15579`
63×	`times-frac_binary64_15585`
55×	`add-sqr-sqrt_binary64_15600`
43×	`add-cube-cbrt_binary64_15611`
36×	`add-exp-log_binary64_15614`
33×	`unpow-prod-down_binary64_15655`
31×	`associate-r_binary64_15521`
20×	`add-cbrt-cube_binary64_15612`
14×	`distribute-lft-out_binary64_15532` `associate-/r*_binary64_15525` `div-exp_binary64_15627`
9×	`unpow2_binary64_15641` `sqr-pow_binary64_15551`
8×	`prod-exp_binary64_15625`
7×	`pow1_binary64_15637`
6×	`cbrt-undiv_binary64_15610`
5×	`unswap-sqr_binary64_15547`
4×	`pow-to-exp_binary64_15645` `pow-exp_binary64_15644` `add-log-exp_binary64_15615` `cbrt-unprod_binary64_15609` `associate-/l*_binary64_15526`
3×	`div-inv_binary64_15576` `pow-unpow_binary64_15653` `associate-l_binary64_15522`
2×	`clear-num_binary64_15578` `associate-/r/_binary64_15527` `frac-2neg_binary64_15590` `associate-*r/_binary64_15523`
1×	`pow-prod-down_binary64_15647` `associate-/l/_binary64_15528` `flip3-+_binary64_15582` `pow-pow_binary64_15648` `*-commutative_binary64_15512` `flip-+_binary64_15553`

Counts

4 → 159

Calls

4 calls:

18.0ms	(/.f64 (*.f64 y (/.f64 x (pow.f64 (+.f64 x y) 2))) (+.f64 (+.f64 x y) 1))
17.0ms	(*.f64 y (/.f64 x (pow.f64 (+.f64 x y) 2)))
8.0ms	(/.f64 x (pow.f64 (+.f64 x y) 2))
5.0ms	(pow.f64 (+.f64 x y) 2)

series446.0ms (11.1%)

Counts

4 → 12

Calls

4 calls:

208.0ms	(/.f64 (*.f64 y (/.f64 x (pow.f64 (+.f64 x y) 2))) (+.f64 (+.f64 x y) 1))
122.0ms	(*.f64 y (/.f64 x (pow.f64 (+.f64 x y) 2)))
89.0ms	(/.f64 x (pow.f64 (+.f64 x y) 2))
28.0ms	(pow.f64 (+.f64 x y) 2)

simplify54.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5270	2666

prune173.0ms (4.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	165	6	171
Fresh	8	1	9
Picked	1	0	1
Done	0	0	0
Total	174	7	181

Merged error: 0.0b

Counts

181 → 7

Compiler

Compiled 3579 to 1602 computations (55.2% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 y (+.f64 x y))
0.0b	(/.f64 x (+.f64 x y))
0.0b	(*.f64 (/.f64 y (+.f64 x y)) (/.f64 x (+.f64 x y)))
0.1b	(/.f64 (*.f64 (/.f64 y (+.f64 x y)) (/.f64 x (+.f64 x y))) (+.f64 (+.f64 x y) 1))

rewrite69.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64_15579`
57×	`times-frac_binary64_15585`
52×	`add-sqr-sqrt_binary64_15600`
40×	`add-cube-cbrt_binary64_15611`
38×	`add-exp-log_binary64_15614` `add-cbrt-cube_binary64_15612`
20×	`distribute-lft-out_binary64_15532`
18×	`associate-r_binary64_15521` `associate-l_binary64_15522`
15×	`cbrt-undiv_binary64_15610` `div-exp_binary64_15627`
13×	`associate-/r*_binary64_15525`
10×	`associate-/r/_binary64_15527`
8×	`prod-exp_binary64_15625` `cbrt-unprod_binary64_15609`
7×	`associate-/l*_binary64_15526`
6×	`pow1_binary64_15637`
5×	`div-inv_binary64_15576` `flip3-+_binary64_15582` `flip-+_binary64_15553`
4×	`add-log-exp_binary64_15615` `unswap-sqr_binary64_15547`
3×	`clear-num_binary64_15578` `associate-/l/_binary64_15528` `frac-2neg_binary64_15590`
2×	`frac-times_binary64_15589` `associate-l/_binary64_15524` `associate-r/_binary64_15523`
1×	`pow-prod-down_binary64_15647` `*-commutative_binary64_15512`

Counts

4 → 162

Calls

4 calls:

21.0ms	(*.f64 (/.f64 y (+.f64 x y)) (/.f64 x (+.f64 x y)))
20.0ms	(/.f64 (*.f64 (/.f64 y (+.f64 x y)) (/.f64 x (+.f64 x y))) (+.f64 (+.f64 x y) 1))
6.0ms	(/.f64 y (+.f64 x y))
6.0ms	(/.f64 x (+.f64 x y))

series430.0ms (10.7%)

Counts

4 → 12

Calls

4 calls:

208.0ms	(/.f64 (*.f64 (/.f64 y (+.f64 x y)) (/.f64 x (+.f64 x y))) (+.f64 (+.f64 x y) 1))
119.0ms	(*.f64 (/.f64 y (+.f64 x y)) (/.f64 x (+.f64 x y)))
54.0ms	(/.f64 x (+.f64 x y))
49.0ms	(/.f64 y (+.f64 x y))

simplify86.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4966	2987
1	4966	2987

prune152.0ms (3.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	170	4	174
Fresh	5	1	6
Picked	0	1	1
Done	0	0	0
Total	175	6	181

Merged error: 0.0b

Counts

181 → 6

Compiler

Compiled 4046 to 1096 computations (72.9% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)
10.2b	(.f64 y (.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (+.f64 x y)) (/.f64 (cbrt.f64 x) (+.f64 x y))))

rewrite32.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`add-exp-log_binary64_15614`
26×	`add-cbrt-cube_binary64_15612`
15×	`prod-exp_binary64_15625` `cbrt-unprod_binary64_15609`
9×	`pow1_binary64_15637` `cbrt-prod_binary64_15607`
8×	`*-un-lft-identity_binary64_15579` `add-sqr-sqrt_binary64_15600` `add-cube-cbrt_binary64_15611`
7×	`cbrt-undiv_binary64_15610` `div-exp_binary64_15627`
4×	`add-log-exp_binary64_15615` `associate-*r/_binary64_15523`
3×	`pow-prod-down_binary64_15647` `associate-l_binary64_15522` `pow1/3_binary64_15658`
1×	`associate-r_binary64_15521` `frac-times_binary64_15589` `associate-l/_binary64_15524` `-commutative_binary64_15512`

Counts

4 → 64

Calls

4 calls:

21.0ms	(.f64 y (.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (+.f64 x y)) (/.f64 (cbrt.f64 x) (+.f64 x y))))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series657.0ms (16.4%)

Counts

4 → 12

Calls

4 calls:

201.0ms	(.f64 y (.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (+.f64 x y)) (/.f64 (cbrt.f64 x) (+.f64 x y))))
156.0ms	(cbrt.f64 x)
153.0ms	(cbrt.f64 x)
146.0ms	(cbrt.f64 x)

simplify78.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4953	761
1	4953	761

prune64.0ms (1.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	76	6	82

Merged error: 0.0b

Counts

82 → 6

Compiler

Compiled 1802 to 537 computations (70.2% saved)

regimes34.0ms (0.8%)

Compiler: Compiled 334 to 160 computations (52.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	25
1	14	25

end0.0ms (0%)

sample566.0ms (14.1%)

Algorithm

1×

intervals

Results

281.0ms

8000×

body

128

valid

Compiler

Compiled 219 to 109 computations (50.2% saved)

Details

analyze77.0ms (1.9%)

sample15.0ms (0.4%)

simplify297.0ms (7.4%)

prune2.0ms (0.1%)

localize8.0ms (0.2%)

rewrite76.0ms (1.9%)

series321.0ms (8%)

simplify88.0ms (2.2%)

prune184.0ms (4.6%)

localize9.0ms (0.2%)

rewrite64.0ms (1.6%)

series446.0ms (11.1%)

simplify54.0ms (1.3%)

prune173.0ms (4.3%)

localize12.0ms (0.3%)

rewrite69.0ms (1.7%)

series430.0ms (10.7%)

simplify86.0ms (2.1%)

prune152.0ms (3.8%)

localize12.0ms (0.3%)

rewrite32.0ms (0.8%)

series657.0ms (16.4%)

simplify78.0ms (1.9%)

prune64.0ms (1.6%)

regimes34.0ms (0.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample566.0ms (14.1%)

Profiling