Details

analyze236.0ms (5.4%)

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
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
43.7%	56.2%	0.1%	8
62.4%	37.4%	0.1%	9
65.5%	34.3%	0.1%	10
71.8%	27.7%	0.5%	11
79.2%	19.7%	1.1%	12
80.2%	18.7%	1.1%	13
82.8%	15%	2.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample18.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	19×	body	128	invalid

Compiler

Compiled 23 to 24 computations (-4.3% saved)

simplify174.0ms (4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	105	16
1	105	16

prune2.0ms (0%)

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: 6.8b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

4.1b	(.f64 y (+.f64 1 (.f64 z z)))
4.1b	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))

rewrite23.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`times-frac_binary64_11437`
26×	`add-exp-log_binary64_11469`
20×	`add-sqr-sqrt_binary64_11453`
18×	`add-cube-cbrt_binary64_11466` `*-un-lft-identity_binary64_11431`
16×	`add-cbrt-cube_binary64_11467`
13×	`associate-/l*_binary64_11376`
12×	`div-exp_binary64_11482`
6×	`cbrt-undiv_binary64_11465`
5×	`prod-exp_binary64_11480`
4×	`associate-*r/_binary64_11373` `pow1_binary64_11492`
3×	`associate-r_binary64_11371` `cbrt-unprod_binary64_11464` `associate-l_binary64_11372` `div-inv_binary64_11428`
2×	`rec-exp_binary64_11481` `associate-/r/_binary64_11377` `flip3-+_binary64_11434` `flip-+_binary64_11405` `1-exp_binary64_11475` `add-log-exp_binary64_11470`
1×	`associate-/r_binary64_11375` `distribute-lft-in_binary64_11380` `associate-/l/_binary64_11378` `distribute-rgt-in_binary64_11381` `unswap-sqr_binary64_11399` `-commutative_binary64_11362` `frac-2neg_binary64_11442` `pow-prod-down_binary64_11502` `clear-num_binary64_11430`

Counts

2 → 74

Calls

2 calls:

11.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
6.0ms	(.f64 y (+.f64 1 (.f64 z z)))

series166.0ms (3.8%)

Counts

2 → 6

Calls

2 calls:

94.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
72.0ms	(.f64 y (+.f64 1 (.f64 z z)))

simplify72.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5028	1317

prune251.0ms (5.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	72	8	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	9	81

Merged error: 4.9b

Counts

81 → 9

Compiler

Compiled 4232 to 3209 computations (24.2% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

2.4b	(.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (+.f64 1 (.f64 z z))))
3.7b	(/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z)))

rewrite60.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

173×	`times-frac_binary64_11437`
126×	`add-sqr-sqrt_binary64_11453`
93×	`*-un-lft-identity_binary64_11431`
86×	`add-cube-cbrt_binary64_11466`
76×	`add-exp-log_binary64_11469`
45×	`associate-r_binary64_11371`
40×	`div-exp_binary64_11482`
28×	`add-cbrt-cube_binary64_11467`
20×	`prod-exp_binary64_11480`
13×	`associate-/l_binary64_11376` `associate-l*_binary64_11372`
12×	`unswap-sqr_binary64_11399` `cbrt-undiv_binary64_11465`
10×	`rec-exp_binary64_11481` `1-exp_binary64_11475` `div-inv_binary64_11428`
6×	`cbrt-unprod_binary64_11464`
4×	`associate-/r/_binary64_11377` `pow1_binary64_11492`
3×	`associate-/r*_binary64_11375`
2×	`flip3-+_binary64_11434` `flip-+_binary64_11405` `add-log-exp_binary64_11470`
1×	`associate-r/_binary64_11373` `associate-l/_binary64_11374` `associate-/l/_binary64_11378` `*-commutative_binary64_11362` `frac-2neg_binary64_11442` `frac-times_binary64_11441` `pow-prod-down_binary64_11502` `clear-num_binary64_11430`

Counts

2 → 182

Calls

2 calls:

30.0ms	(.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (+.f64 1 (.f64 z z))))
9.0ms	(/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z)))

series330.0ms (7.6%)

Counts

2 → 6

Calls

2 calls:

235.0ms	(.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (+.f64 1 (.f64 z z))))
95.0ms	(/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z)))

simplify105.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5035	4277

prune228.0ms (5.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	187	1	188
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	188	9	197

Merged error: 4.9b

Counts

197 → 9

Compiler

Compiled 4486 to 2840 computations (36.7% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

2.3b	(/.f64 (/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z))) y)
3.7b	(/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z)))

rewrite67.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

474×	`times-frac_binary64_11437`
230×	`add-cube-cbrt_binary64_11466` `*-un-lft-identity_binary64_11431` `add-sqr-sqrt_binary64_11453`
58×	`associate-/l*_binary64_11376`
26×	`add-exp-log_binary64_11469`
22×	`div-inv_binary64_11428`
17×	`div-exp_binary64_11482`
16×	`add-cbrt-cube_binary64_11467`
10×	`associate-/r/_binary64_11377`
9×	`cbrt-undiv_binary64_11465`
6×	`associate-/r*_binary64_11375`
5×	`flip3-+_binary64_11434` `flip-+_binary64_11405`
2×	`rec-exp_binary64_11481` `associate-/l/_binary64_11378` `frac-2neg_binary64_11442` `1-exp_binary64_11475` `add-log-exp_binary64_11470` `clear-num_binary64_11430` `pow1_binary64_11492`

Counts

2 → 276

Calls

2 calls:

17.0ms	(/.f64 (/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z))) y)
8.0ms	(/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z)))

series182.0ms (4.2%)

Counts

2 → 6

Calls

2 calls:

94.0ms	(/.f64 (/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z))) y)
88.0ms	(/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z)))

simplify147.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

282 → 282

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4953	8854
1	4953	8854

prune451.0ms (10.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	281	1	282
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	282	9	291

Merged error: 4.9b

Counts

291 → 9

Compiler

Compiled 8038 to 4829 computations (39.9% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)
2.3b	(/.f64 (/.f64 (/.f64 1 (.f64 (cbrt.f64 x) (cbrt.f64 x))) (.f64 (+.f64 1 (*.f64 z z)) (cbrt.f64 x))) y)
3.4b	(/.f64 (/.f64 1 (.f64 (cbrt.f64 x) (cbrt.f64 x))) (.f64 (+.f64 1 (*.f64 z z)) (cbrt.f64 x)))

rewrite56.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

110×	`add-exp-log_binary64_11469`
92×	`times-frac_binary64_11437`
59×	`div-exp_binary64_11482`
40×	`add-cbrt-cube_binary64_11467`
36×	`add-cube-cbrt_binary64_11466` `*-un-lft-identity_binary64_11431` `add-sqr-sqrt_binary64_11453`
27×	`cbrt-undiv_binary64_11465`
26×	`prod-exp_binary64_11480`
20×	`associate-/l*_binary64_11376`
12×	`div-inv_binary64_11428`
10×	`cbrt-unprod_binary64_11464` `associate-*l/_binary64_11374` `associate-/r/_binary64_11377`
8×	`rec-exp_binary64_11481` `1-exp_binary64_11475`
6×	`cbrt-prod_binary64_11462`
5×	`flip3-+_binary64_11434` `flip-+_binary64_11405`
4×	`associate-/r*_binary64_11375` `add-log-exp_binary64_11470` `pow1_binary64_11492`
2×	`pow1/3_binary64_11513` `associate-/l/_binary64_11378` `frac-2neg_binary64_11442` `clear-num_binary64_11430`

Counts

4 → 158

Calls

4 calls:

18.0ms	(/.f64 (/.f64 (/.f64 1 (.f64 (cbrt.f64 x) (cbrt.f64 x))) (.f64 (+.f64 1 (*.f64 z z)) (cbrt.f64 x))) y)
15.0ms	(/.f64 (/.f64 1 (.f64 (cbrt.f64 x) (cbrt.f64 x))) (.f64 (+.f64 1 (*.f64 z z)) (cbrt.f64 x)))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series589.0ms (13.5%)

Counts

4 → 12

Calls

4 calls:

158.0ms	(/.f64 (/.f64 (/.f64 1 (.f64 (cbrt.f64 x) (cbrt.f64 x))) (.f64 (+.f64 1 (*.f64 z z)) (cbrt.f64 x))) y)
156.0ms	(cbrt.f64 x)
151.0ms	(cbrt.f64 x)
124.0ms	(/.f64 (/.f64 1 (.f64 (cbrt.f64 x) (cbrt.f64 x))) (.f64 (+.f64 1 (*.f64 z z)) (cbrt.f64 x)))

simplify99.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4956	3277
1	4956	3277

prune174.0ms (4%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	170	0	170
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	170	9	179

Merged error: 4.9b

Counts

179 → 9

Compiler

Compiled 3415 to 1918 computations (43.8% saved)

regimes166.0ms (3.8%)

Compiler: Compiled 1391 to 1184 computations (14.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	16
1	12	16

end0.0ms (0%)

sample716.0ms (16.4%)

Algorithm

1×

intervals

Results

302.0ms	8000×	body	128	valid
17.0ms	469×	body	128	invalid

Compiler

Compiled 227 to 183 computations (19.4% saved)

Details

analyze236.0ms (5.4%)

sample18.0ms (0.4%)

simplify174.0ms (4%)

prune2.0ms (0%)

localize7.0ms (0.2%)

rewrite23.0ms (0.5%)

series166.0ms (3.8%)

simplify72.0ms (1.7%)

prune251.0ms (5.8%)

localize9.0ms (0.2%)

rewrite60.0ms (1.4%)

series330.0ms (7.6%)

simplify105.0ms (2.4%)

prune228.0ms (5.2%)

localize8.0ms (0.2%)

rewrite67.0ms (1.5%)

series182.0ms (4.2%)

simplify147.0ms (3.4%)

prune451.0ms (10.4%)

localize11.0ms (0.3%)

rewrite56.0ms (1.3%)

series589.0ms (13.5%)

simplify99.0ms (2.3%)

prune174.0ms (4%)

regimes166.0ms (3.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample716.0ms (16.4%)

Profiling