Details

analyze250.0ms (6.2%)

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)

sample19.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	19×	body	128	invalid

Compiler

Compiled 23 to 24 computations (-4.3% saved)

simplify160.0ms (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 (0.1%)

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: 6.8b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize11.0ms (0.3%)

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 (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`times-frac_binary64_10530`
26×	`add-exp-log_binary64_10559`
20×	`add-sqr-sqrt_binary64_10545`
18×	`*-un-lft-identity_binary64_10524` `add-cube-cbrt_binary64_10556`
16×	`add-cbrt-cube_binary64_10557`
13×	`associate-/l*_binary64_10471`
12×	`div-exp_binary64_10572`
6×	`cbrt-undiv_binary64_10555`
5×	`prod-exp_binary64_10570`
4×	`pow1_binary64_10582` `associate-*r/_binary64_10468`
3×	`cbrt-unprod_binary64_10554` `associate-l_binary64_10467` `div-inv_binary64_10521` `associate-r_binary64_10466`
2×	`associate-/r/_binary64_10472` `add-log-exp_binary64_10560` `flip3-+_binary64_10527` `flip-+_binary64_10498` `rec-exp_binary64_10571` `1-exp_binary64_10565`
1×	`pow-prod-down_binary64_10592` `-commutative_binary64_10457` `frac-2neg_binary64_10535` `clear-num_binary64_10523` `unswap-sqr_binary64_10492` `associate-/l/_binary64_10473` `distribute-lft-in_binary64_10475` `associate-/r_binary64_10470` `distribute-rgt-in_binary64_10476`

Counts

2 → 74

Calls

2 calls:

10.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
6.0ms	(.f64 y (+.f64 1 (.f64 z z)))

series170.0ms (4.2%)

Counts

2 → 6

Calls

2 calls:

94.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
75.0ms	(.f64 y (+.f64 1 (.f64 z z)))

simplify83.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4945	1317
1	4945	1317

prune86.0ms (2.1%)

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 1403 to 853 computations (39.2% saved)

localize11.0ms (0.3%)

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)))

rewrite59.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

173×	`times-frac_binary64_10530`
126×	`add-sqr-sqrt_binary64_10545`
93×	`*-un-lft-identity_binary64_10524`
86×	`add-cube-cbrt_binary64_10556`
76×	`add-exp-log_binary64_10559`
45×	`associate-r_binary64_10466`
40×	`div-exp_binary64_10572`
28×	`add-cbrt-cube_binary64_10557`
20×	`prod-exp_binary64_10570`
13×	`associate-/l_binary64_10471` `associate-l*_binary64_10467`
12×	`unswap-sqr_binary64_10492` `cbrt-undiv_binary64_10555`
10×	`rec-exp_binary64_10571` `div-inv_binary64_10521` `1-exp_binary64_10565`
6×	`cbrt-unprod_binary64_10554`
4×	`pow1_binary64_10582` `associate-/r/_binary64_10472`
3×	`associate-/r*_binary64_10470`
2×	`add-log-exp_binary64_10560` `flip3-+_binary64_10527` `flip-+_binary64_10498`
1×	`pow-prod-down_binary64_10592` `-commutative_binary64_10457` `frac-2neg_binary64_10535` `associate-r/_binary64_10468` `clear-num_binary64_10523` `associate-/l/_binary64_10473` `frac-times_binary64_10534` `associate-*l/_binary64_10469`

Counts

2 → 182

Calls

2 calls:

28.0ms	(.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (+.f64 1 (.f64 z z))))
8.0ms	(/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z)))

series180.0ms (4.5%)

Counts

2 → 6

Calls

2 calls:

90.0ms	(/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z)))
90.0ms	(.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (+.f64 1 (.f64 z z))))

simplify117.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5091	4277

prune223.0ms (5.5%)

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 4148 to 2557 computations (38.4% saved)

localize7.0ms (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)))

rewrite68.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

474×	`times-frac_binary64_10530`
230×	`add-sqr-sqrt_binary64_10545` `*-un-lft-identity_binary64_10524` `add-cube-cbrt_binary64_10556`
58×	`associate-/l*_binary64_10471`
26×	`add-exp-log_binary64_10559`
22×	`div-inv_binary64_10521`
17×	`div-exp_binary64_10572`
16×	`add-cbrt-cube_binary64_10557`
10×	`associate-/r/_binary64_10472`
9×	`cbrt-undiv_binary64_10555`
6×	`associate-/r*_binary64_10470`
5×	`flip3-+_binary64_10527` `flip-+_binary64_10498`
2×	`pow1_binary64_10582` `frac-2neg_binary64_10535` `clear-num_binary64_10523` `add-log-exp_binary64_10560` `associate-/l/_binary64_10473` `rec-exp_binary64_10571` `1-exp_binary64_10565`

Counts

2 → 276

Calls

2 calls:

17.0ms	(/.f64 (/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z))) y)
9.0ms	(/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z)))

series172.0ms (4.3%)

Counts

2 → 6

Calls

2 calls:

90.0ms	(/.f64 (/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z))) y)
83.0ms	(/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z)))

simplify143.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

282 → 282

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4968	8854
1	4968	8854

prune392.0ms (9.8%)

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 7037 to 4000 computations (43.2% 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)))

rewrite53.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

110×	`add-exp-log_binary64_10559`
92×	`times-frac_binary64_10530`
59×	`div-exp_binary64_10572`
40×	`add-cbrt-cube_binary64_10557`
36×	`add-sqr-sqrt_binary64_10545` `*-un-lft-identity_binary64_10524` `add-cube-cbrt_binary64_10556`
27×	`cbrt-undiv_binary64_10555`
26×	`prod-exp_binary64_10570`
20×	`associate-/l*_binary64_10471`
12×	`div-inv_binary64_10521`
10×	`cbrt-unprod_binary64_10554` `associate-/r/_binary64_10472` `associate-*l/_binary64_10469`
8×	`rec-exp_binary64_10571` `1-exp_binary64_10565`
6×	`cbrt-prod_binary64_10552`
5×	`flip3-+_binary64_10527` `flip-+_binary64_10498`
4×	`pow1_binary64_10582` `add-log-exp_binary64_10560` `associate-/r*_binary64_10470`
2×	`frac-2neg_binary64_10535` `pow1/3_binary64_10603` `clear-num_binary64_10523` `associate-/l/_binary64_10473`

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)
14.0ms	(/.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)

series622.0ms (15.5%)

Counts

4 → 12

Calls

4 calls:

162.0ms	(/.f64 (/.f64 (/.f64 1 (.f64 (cbrt.f64 x) (cbrt.f64 x))) (.f64 (+.f64 1 (*.f64 z z)) (cbrt.f64 x))) y)
158.0ms	(cbrt.f64 x)
157.0ms	(cbrt.f64 x)
145.0ms	(/.f64 (/.f64 1 (.f64 (cbrt.f64 x) (cbrt.f64 x))) (.f64 (+.f64 1 (*.f64 z z)) (cbrt.f64 x)))

simplify82.0ms (2%)

Algorithm

1×	egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4934	3277
1	4934	3277

prune162.0ms (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 3253 to 1783 computations (45.2% saved)

regimes167.0ms (4.2%)

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%)

sample745.0ms (18.5%)

Algorithm

1×

intervals

Results

321.0ms	8000×	body	128	valid
18.0ms	469×	body	128	invalid

Compiler

Compiled 227 to 183 computations (19.4% saved)

Details

analyze250.0ms (6.2%)

sample19.0ms (0.5%)

simplify160.0ms (4%)

prune2.0ms (0.1%)

localize11.0ms (0.3%)

rewrite23.0ms (0.6%)

series170.0ms (4.2%)

simplify83.0ms (2.1%)

prune86.0ms (2.1%)

localize11.0ms (0.3%)

rewrite59.0ms (1.5%)

series180.0ms (4.5%)

simplify117.0ms (2.9%)

prune223.0ms (5.5%)

localize7.0ms (0.2%)

rewrite68.0ms (1.7%)

series172.0ms (4.3%)

simplify143.0ms (3.5%)

prune392.0ms (9.8%)

localize11.0ms (0.3%)

rewrite53.0ms (1.3%)

series622.0ms (15.5%)

simplify82.0ms (2%)

prune162.0ms (4%)

regimes167.0ms (4.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample745.0ms (18.5%)

Profiling