Details

analyze245.0ms (7.1%)

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
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)

sample22.0ms (0.6%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
1.0ms	15×	body	128	invalid

Compiler

Compiled 23 to 24 computations (-4.3% saved)

simplify161.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	105	16
1	105	16

prune3.0ms (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: 5.1b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

2.7b	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
3.3b	(.f64 y (+.f64 1 (.f64 z z)))

rewrite31.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`times-frac_binary64_5475`
26×	`add-exp-log_binary64_5504`
20×	`add-sqr-sqrt_binary64_5490`
18×	`add-cube-cbrt_binary64_5501` `*-un-lft-identity_binary64_5469`
16×	`add-cbrt-cube_binary64_5502`
13×	`associate-/l*_binary64_5416`
12×	`div-exp_binary64_5517`
6×	`cbrt-undiv_binary64_5500`
5×	`prod-exp_binary64_5515`
4×	`associate-*r/_binary64_5413` `pow1_binary64_5527`
3×	`associate-r_binary64_5411` `cbrt-unprod_binary64_5499` `div-inv_binary64_5466` `associate-l_binary64_5412`
2×	`rec-exp_binary64_5516` `flip-+_binary64_5443` `1-exp_binary64_5510` `associate-/r/_binary64_5417` `flip3-+_binary64_5472` `add-log-exp_binary64_5505`
1×	`associate-/l/_binary64_5418` `clear-num_binary64_5468` `pow-prod-down_binary64_5537` `associate-/r_binary64_5415` `distribute-lft-in_binary64_5420` `unswap-sqr_binary64_5437` `frac-2neg_binary64_5480` `-commutative_binary64_5402` `distribute-rgt-in_binary64_5421`

Counts

2 → 74

Calls

2 calls:

16.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
8.0ms	(.f64 y (+.f64 1 (.f64 z z)))

series170.0ms (4.9%)

Counts

2 → 6

Calls

2 calls:

95.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
75.0ms	(.f64 y (+.f64 1 (.f64 z z)))

simplify84.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4945	1317
1	4945	1317

prune99.0ms (2.9%)

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 1416 to 861 computations (39.2% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

2.2b	(.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (+.f64 1 (.f64 z z))))
4.3b	(/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z)))

rewrite63.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

173×	`times-frac_binary64_5475`
126×	`add-sqr-sqrt_binary64_5490`
93×	`*-un-lft-identity_binary64_5469`
86×	`add-cube-cbrt_binary64_5501`
76×	`add-exp-log_binary64_5504`
45×	`associate-r_binary64_5411`
40×	`div-exp_binary64_5517`
28×	`add-cbrt-cube_binary64_5502`
20×	`prod-exp_binary64_5515`
13×	`associate-/l_binary64_5416` `associate-l*_binary64_5412`
12×	`cbrt-undiv_binary64_5500` `unswap-sqr_binary64_5437`
10×	`rec-exp_binary64_5516` `1-exp_binary64_5510` `div-inv_binary64_5466`
6×	`cbrt-unprod_binary64_5499`
4×	`associate-/r/_binary64_5417` `pow1_binary64_5527`
3×	`associate-/r*_binary64_5415`
2×	`flip-+_binary64_5443` `flip3-+_binary64_5472` `add-log-exp_binary64_5505`
1×	`associate-/l/_binary64_5418` `clear-num_binary64_5468` `pow-prod-down_binary64_5537` `frac-times_binary64_5479` `associate-l/_binary64_5414` `associate-r/_binary64_5413` `frac-2neg_binary64_5480` `*-commutative_binary64_5402`

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)))

series189.0ms (5.5%)

Counts

2 → 6

Calls

2 calls:

95.0ms	(.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (+.f64 1 (.f64 z z))))
94.0ms	(/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z)))

simplify123.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5091	4277

prune234.0ms (6.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	186	2	188
Fresh	1	7	8
Picked	0	1	1
Done	1	0	1
Total	188	10	198

Merged error: 3.8b

Counts

198 → 10

Compiler

Compiled 4183 to 2583 computations (38.3% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b	(/.f64 (/.f64 1 x) y)
0.7b	(/.f64 1 (+.f64 1 (*.f64 z z)))
4.2b	(.f64 (/.f64 (/.f64 1 x) y) (/.f64 1 (+.f64 1 (.f64 z z))))

rewrite72.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

182×	`times-frac_binary64_5475`
135×	`add-sqr-sqrt_binary64_5490`
102×	`*-un-lft-identity_binary64_5469`
95×	`add-cube-cbrt_binary64_5501`
81×	`add-exp-log_binary64_5504`
43×	`associate-l_binary64_5412`
42×	`div-exp_binary64_5517`
31×	`add-cbrt-cube_binary64_5502`
20×	`prod-exp_binary64_5515`
16×	`associate-/l*_binary64_5416`
15×	`associate-r_binary64_5411`
13×	`cbrt-undiv_binary64_5500`
12×	`unswap-sqr_binary64_5437`
11×	`rec-exp_binary64_5516` `1-exp_binary64_5510` `div-inv_binary64_5466`
6×	`associate-/r*_binary64_5415` `cbrt-unprod_binary64_5499` `pow1_binary64_5527`
4×	`associate-/r/_binary64_5417`
3×	`add-log-exp_binary64_5505`
2×	`clear-num_binary64_5468` `flip-+_binary64_5443` `frac-2neg_binary64_5480` `flip3-+_binary64_5472`
1×	`associate-/l/_binary64_5418` `pow-prod-down_binary64_5537` `frac-times_binary64_5479` `associate-l/_binary64_5414` `inv-pow_binary64_5551` `associate-r/_binary64_5413` `un-div-inv_binary64_5467` `pow-flip_binary64_5540` `*-commutative_binary64_5402`

Counts

3 → 214

Calls

3 calls:

35.0ms	(.f64 (/.f64 (/.f64 1 x) y) (/.f64 1 (+.f64 1 (.f64 z z))))
7.0ms	(/.f64 (/.f64 1 x) y)
5.0ms	(/.f64 1 (+.f64 1 (*.f64 z z)))

series153.0ms (4.4%)

Counts

3 → 9

Calls

3 calls:

97.0ms	(.f64 (/.f64 (/.f64 1 x) y) (/.f64 1 (+.f64 1 (.f64 z z))))
36.0ms	(/.f64 1 (+.f64 1 (*.f64 z z)))
19.0ms	(/.f64 (/.f64 1 x) y)

simplify115.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4905	4020
1	4905	4020

prune241.0ms (7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	222	1	223
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	222	11	233

Merged error: 3.8b

Counts

233 → 11

Compiler

Compiled 4576 to 2705 computations (40.9% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 y (.f64 y (.f64 z z)))
2.7b	(/.f64 (/.f64 1 x) (+.f64 y (.f64 y (.f64 z z))))
8.2b	(.f64 y (.f64 z z))

rewrite30.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`times-frac_binary64_5475`
47×	`add-sqr-sqrt_binary64_5490`
46×	`add-cube-cbrt_binary64_5501` `*-un-lft-identity_binary64_5469`
17×	`add-exp-log_binary64_5504`
13×	`associate-/l*_binary64_5416` `add-cbrt-cube_binary64_5502`
8×	`pow1_binary64_5527`
6×	`div-exp_binary64_5517`
5×	`div-inv_binary64_5466` `add-log-exp_binary64_5505`
3×	`pow-prod-down_binary64_5537` `associate-/r_binary64_5415` `cbrt-undiv_binary64_5500` `cbrt-unprod_binary64_5499` `associate-l*_binary64_5412` `prod-exp_binary64_5515`
2×	`flip-+_binary64_5443` `associate-/r/_binary64_5417` `flip3-+_binary64_5472`
1×	`+-commutative_binary64_5401` `associate-/l/_binary64_5418` `rec-exp_binary64_5516` `clear-num_binary64_5468` `sum-log_binary64_5557` `associate-r_binary64_5411` `1-exp_binary64_5510` `unswap-sqr_binary64_5437` `frac-2neg_binary64_5480` `*-commutative_binary64_5402`

Counts

3 → 104

Calls

3 calls:

9.0ms	(/.f64 (/.f64 1 x) (+.f64 y (.f64 y (.f64 z z))))
6.0ms	(.f64 y (.f64 z z))
4.0ms	(+.f64 y (.f64 y (.f64 z z)))

series238.0ms (6.9%)

Counts

3 → 9

Calls

3 calls:

113.0ms	(/.f64 (/.f64 1 x) (+.f64 y (.f64 y (.f64 z z))))
68.0ms	(+.f64 y (.f64 y (.f64 z z)))
56.0ms	(.f64 y (.f64 z z))

simplify94.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5112	2603

prune94.0ms (2.7%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	110	3	113
Fresh	3	5	8
Picked	0	1	1
Done	0	2	2
Total	113	11	124

Merged error: 1.4b

Counts

124 → 11

Compiler

Compiled 2214 to 727 computations (67.2% saved)

regimes212.0ms (6.1%)

Compiler: Compiled 1825 to 1530 computations (16.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	16
1	14	16

end0.0ms (0%)

sample756.0ms (21.8%)

Algorithm

1×

intervals

Results

304.0ms	8000×	body	128	valid
18.0ms	429×	body	128	invalid

Compiler

Compiled 254 to 202 computations (20.5% saved)

Details

analyze245.0ms (7.1%)

sample22.0ms (0.6%)

simplify161.0ms (4.7%)

prune3.0ms (0.1%)

localize8.0ms (0.2%)

rewrite31.0ms (0.9%)

series170.0ms (4.9%)

simplify84.0ms (2.4%)

prune99.0ms (2.9%)

localize9.0ms (0.3%)

rewrite63.0ms (1.8%)

series189.0ms (5.5%)

simplify123.0ms (3.6%)

prune234.0ms (6.8%)

localize9.0ms (0.2%)

rewrite72.0ms (2.1%)

series153.0ms (4.4%)

simplify115.0ms (3.3%)

prune241.0ms (7%)

localize8.0ms (0.2%)

rewrite30.0ms (0.9%)

series238.0ms (6.9%)

simplify94.0ms (2.7%)

prune94.0ms (2.7%)

regimes212.0ms (6.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample756.0ms (21.8%)

Profiling