Details

analyze234.0ms (5.8%)

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	14×	body	128	invalid

Compiler

Compiled 23 to 24 computations (-4.3% saved)

simplify165.0ms (4.1%)

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: 5.2b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

2.9b	(.f64 y (+.f64 1 (.f64 z z)))
3.2b	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))

rewrite24.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`times-frac_binary64_10314`
26×	`add-exp-log_binary64_10346`
20×	`add-sqr-sqrt_binary64_10330`
18×	`add-cube-cbrt_binary64_10343` `*-un-lft-identity_binary64_10308`
16×	`add-cbrt-cube_binary64_10344`
13×	`associate-/l*_binary64_10253`
12×	`div-exp_binary64_10359`
6×	`cbrt-undiv_binary64_10342`
5×	`prod-exp_binary64_10357`
4×	`associate-*r/_binary64_10250` `pow1_binary64_10369`
3×	`cbrt-unprod_binary64_10341` `associate-r_binary64_10248` `associate-l_binary64_10249` `div-inv_binary64_10305`
2×	`1-exp_binary64_10352` `add-log-exp_binary64_10347` `flip-+_binary64_10282` `associate-/r/_binary64_10254` `rec-exp_binary64_10358` `flip3-+_binary64_10311`
1×	`distribute-lft-in_binary64_10257` `associate-/r_binary64_10252` `distribute-rgt-in_binary64_10258` `associate-/l/_binary64_10255` `clear-num_binary64_10307` `pow-prod-down_binary64_10379` `frac-2neg_binary64_10319` `-commutative_binary64_10239` `unswap-sqr_binary64_10276`

Counts

2 → 74

Calls

2 calls:

11.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
7.0ms	(.f64 y (+.f64 1 (.f64 z z)))

series166.0ms (4.1%)

Counts

2 → 6

Calls

2 calls:

94.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
71.0ms	(.f64 y (+.f64 1 (.f64 z z)))

simplify77.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5028	1317

prune90.0ms (2.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	71	9	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	71	10	81

Merged error: 3.8b

Counts

81 → 10

Compiler

Compiled 1439 to 880 computations (38.8% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

2.9b	(.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (+.f64 1 (.f64 z z))))
3.1b	(/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z)))

rewrite62.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

173×	`times-frac_binary64_10314`
126×	`add-sqr-sqrt_binary64_10330`
93×	`*-un-lft-identity_binary64_10308`
86×	`add-cube-cbrt_binary64_10343`
76×	`add-exp-log_binary64_10346`
45×	`associate-r_binary64_10248`
40×	`div-exp_binary64_10359`
28×	`add-cbrt-cube_binary64_10344`
20×	`prod-exp_binary64_10357`
13×	`associate-/l_binary64_10253` `associate-l*_binary64_10249`
12×	`unswap-sqr_binary64_10276` `cbrt-undiv_binary64_10342`
10×	`1-exp_binary64_10352` `rec-exp_binary64_10358` `div-inv_binary64_10305`
6×	`cbrt-unprod_binary64_10341`
4×	`associate-/r/_binary64_10254` `pow1_binary64_10369`
3×	`associate-/r*_binary64_10252`
2×	`add-log-exp_binary64_10347` `flip-+_binary64_10282` `flip3-+_binary64_10311`
1×	`associate-r/_binary64_10250` `associate-/l/_binary64_10255` `clear-num_binary64_10307` `associate-l/_binary64_10251` `pow-prod-down_binary64_10379` `frac-2neg_binary64_10319` `frac-times_binary64_10318` `*-commutative_binary64_10239`

Counts

2 → 182

Calls

2 calls:

31.0ms	(.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (+.f64 1 (.f64 z z))))
9.0ms	(/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z)))

series188.0ms (4.6%)

Counts

2 → 6

Calls

2 calls:

95.0ms	(.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (+.f64 1 (.f64 z z))))
92.0ms	(/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z)))

simplify110.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5035	4277

prune228.0ms (5.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	185	3	188
Fresh	3	5	8
Picked	1	0	1
Done	0	1	1
Total	189	9	198

Merged error: 3.8b

Counts

198 → 9

Compiler

Compiled 4184 to 2585 computations (38.2% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.4b	(/.f64 1 (.f64 x (+.f64 1 (.f64 z z))))
2.9b	(.f64 (/.f64 1 y) (/.f64 1 (.f64 x (+.f64 1 (*.f64 z z)))))
3.1b	(.f64 x (+.f64 1 (.f64 z z)))

rewrite46.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

99×	`add-exp-log_binary64_10346`
44×	`prod-exp_binary64_10357`
34×	`div-exp_binary64_10359`
31×	`add-cbrt-cube_binary64_10344`
25×	`add-sqr-sqrt_binary64_10330`
17×	`1-exp_binary64_10352` `rec-exp_binary64_10358` `times-frac_binary64_10314` `*-un-lft-identity_binary64_10308`
16×	`associate-l_binary64_10249` `add-cube-cbrt_binary64_10343`
15×	`pow1_binary64_10369`
12×	`associate-r_binary64_10248`
10×	`cbrt-unprod_binary64_10341`
9×	`cbrt-undiv_binary64_10342`
7×	`associate-*r/_binary64_10250` `pow-prod-down_binary64_10379`
6×	`pow-flip_binary64_10382`
4×	`associate-/r/_binary64_10254` `unswap-sqr_binary64_10276`
3×	`associate-/l*_binary64_10253` `inv-pow_binary64_10393` `add-log-exp_binary64_10347` `flip-+_binary64_10282` `flip3-+_binary64_10311` `div-inv_binary64_10305`
2×	`*-commutative_binary64_10239`
1×	`distribute-lft-in_binary64_10257` `associate-/r_binary64_10252` `distribute-rgt-in_binary64_10258` `clear-num_binary64_10307` `un-div-inv_binary64_10306` `associate-l/_binary64_10251` `frac-2neg_binary64_10319` `frac-times_binary64_10318`

Counts

3 → 127

Calls

3 calls:

21.0ms	(.f64 (/.f64 1 y) (/.f64 1 (.f64 x (+.f64 1 (*.f64 z z)))))
7.0ms	(/.f64 1 (.f64 x (+.f64 1 (.f64 z z))))
7.0ms	(.f64 x (+.f64 1 (.f64 z z)))

series246.0ms (6%)

Counts

3 → 9

Calls

3 calls:

93.0ms	(.f64 (/.f64 1 y) (/.f64 1 (.f64 x (+.f64 1 (*.f64 z z)))))
83.0ms	(/.f64 1 (.f64 x (+.f64 1 (.f64 z z))))
70.0ms	(.f64 x (+.f64 1 (.f64 z z)))

simplify93.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5110	2080

prune124.0ms (3.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	133	3	136
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	134	11	145

Merged error: 3.8b

Counts

145 → 11

Compiler

Compiled 2366 to 1500 computations (36.6% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

3.0b	(/.f64 (/.f64 1 y) (.f64 x (+.f64 1 (.f64 z z))))
3.1b	(.f64 x (+.f64 1 (.f64 z z)))

rewrite25.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`times-frac_binary64_10314`
26×	`add-exp-log_binary64_10346`
20×	`add-sqr-sqrt_binary64_10330`
18×	`add-cube-cbrt_binary64_10343` `*-un-lft-identity_binary64_10308`
16×	`add-cbrt-cube_binary64_10344`
13×	`associate-/l*_binary64_10253`
12×	`div-exp_binary64_10359`
6×	`cbrt-undiv_binary64_10342`
5×	`prod-exp_binary64_10357`
4×	`associate-*r/_binary64_10250` `pow1_binary64_10369`
3×	`cbrt-unprod_binary64_10341` `associate-r_binary64_10248` `associate-l_binary64_10249` `div-inv_binary64_10305`
2×	`1-exp_binary64_10352` `add-log-exp_binary64_10347` `flip-+_binary64_10282` `associate-/r/_binary64_10254` `rec-exp_binary64_10358` `flip3-+_binary64_10311`
1×	`distribute-lft-in_binary64_10257` `associate-/r_binary64_10252` `distribute-rgt-in_binary64_10258` `associate-/l/_binary64_10255` `clear-num_binary64_10307` `pow-prod-down_binary64_10379` `frac-2neg_binary64_10319` `-commutative_binary64_10239` `unswap-sqr_binary64_10276`

Counts

2 → 74

Calls

2 calls:

13.0ms	(/.f64 (/.f64 1 y) (.f64 x (+.f64 1 (.f64 z z))))
6.0ms	(.f64 x (+.f64 1 (.f64 z z)))

series169.0ms (4.2%)

Counts

2 → 6

Calls

2 calls:

93.0ms	(/.f64 (/.f64 1 y) (.f64 x (+.f64 1 (.f64 z z))))
75.0ms	(.f64 x (+.f64 1 (.f64 z z)))

simplify69.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5003	1317

prune65.0ms (1.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	80	11	91

Merged error: 3.8b

Counts

91 → 11

Compiler

Compiled 1255 to 732 computations (41.7% saved)

regimes580.0ms (14.3%)

Compiler: Compiled 6419 to 5469 computations (14.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	16
1	12	16

end0.0ms (0%)

sample1.2s (30.7%)

Algorithm

1×

intervals

Results

291.0ms	8000×	body	128	valid
19.0ms	464×	body	128	invalid

Compiler

Compiled 835 to 703 computations (15.8% saved)

Details

analyze234.0ms (5.8%)

sample18.0ms (0.4%)

simplify165.0ms (4.1%)

prune2.0ms (0.1%)

localize11.0ms (0.3%)

rewrite24.0ms (0.6%)

series166.0ms (4.1%)

simplify77.0ms (1.9%)

prune90.0ms (2.2%)

localize8.0ms (0.2%)

rewrite62.0ms (1.5%)

series188.0ms (4.6%)

simplify110.0ms (2.7%)

prune228.0ms (5.6%)

localize9.0ms (0.2%)

rewrite46.0ms (1.1%)

series246.0ms (6%)

simplify93.0ms (2.3%)

prune124.0ms (3.1%)

localize7.0ms (0.2%)

rewrite25.0ms (0.6%)

series169.0ms (4.2%)

simplify69.0ms (1.7%)

prune65.0ms (1.6%)

regimes580.0ms (14.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.2s (30.7%)

Profiling