Details

analyze316.0ms (6.1%)

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
12.5%	87.4%	0.1%	4
12.5%	87.4%	0.1%	5
15.6%	84.3%	0.1%	6
32.8%	67.1%	0.1%	7
38.2%	61.6%	0.1%	8
46%	53.8%	0.1%	9
62.6%	37.3%	0.1%	10
67.2%	32.7%	0.1%	11
71.1%	28.8%	0.1%	12
81.6%	18.2%	0.1%	13
84.1%	15.7%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample15.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

128

valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify340.0ms (6.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (223.0ms)

Iter	Nodes	Cost
0	3019	13
1	3019	13

prune3.0ms (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: 7.0b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

7.0b	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

rewrite31.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

55×	`add-sqr-sqrt_binary64_16809`
53×	`*-un-lft-identity_binary64_16787`
42×	`times-frac_binary64_16793`
20×	`difference-of-squares_binary64_16756`
15×	`add-cube-cbrt_binary64_16822`
9×	`distribute-lft-out_binary64_16738`
8×	`associate-/r*_binary64_16731`
5×	`distribute-lft-out--_binary64_16739`
4×	`associate-/l*_binary64_16732`
3×	`add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
2×	`associate-/l/_binary64_16734` `associate-/r/_binary64_16733`
1×	`cbrt-undiv_binary64_16821` `add-log-exp_binary64_16826` `pow1_binary64_16848` `div-exp_binary64_16838` `clear-num_binary64_16786` `flip3--_binary64_16791` `flip-+_binary64_16761` `flip--_binary64_16762` `frac-2neg_binary64_16798` `div-inv_binary64_16784` `flip3-+_binary64_16790`

Counts

1 → 60

Calls

1 calls:

19.0ms

(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

series56.0ms (1.1%)

Counts

1 → 3

Calls

1 calls:

56.0ms

(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

simplify113.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4947	1444
1	4947	1444

prune91.0ms (1.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	55	8	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	9	64

Merged error: 5.9b

Counts

64 → 9

Compiler

Compiled 1296 to 556 computations (57.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.5b	(/.f64 1 (-.f64 1 (/.f64 y z)))
6.3b	(*.f64 (+.f64 x y) (/.f64 1 (-.f64 1 (/.f64 y z))))

rewrite42.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

91×	`add-sqr-sqrt_binary64_16809`
64×	`times-frac_binary64_16793`
59×	`*-un-lft-identity_binary64_16787`
30×	`associate-r_binary64_16727`
28×	`add-cube-cbrt_binary64_16822` `difference-of-squares_binary64_16756`
15×	`add-exp-log_binary64_16825`
9×	`add-cbrt-cube_binary64_16823`
8×	`associate-/r*_binary64_16731`
7×	`distribute-lft-out--_binary64_16739`
5×	`pow1_binary64_16848`
4×	`prod-exp_binary64_16836` `div-exp_binary64_16838` `associate-l_binary64_16728` `associate-/r/_binary64_16733`
3×	`associate-/l*_binary64_16732` `unswap-sqr_binary64_16755`
2×	`cbrt-undiv_binary64_16821` `add-log-exp_binary64_16826` `cbrt-unprod_binary64_16820` `rec-exp_binary64_16837` `1-exp_binary64_16831` `flip3--_binary64_16791` `flip-+_binary64_16761` `frac-times_binary64_16797` `flip--_binary64_16762` `associate-*l/_binary64_16730` `div-inv_binary64_16784` `flip3-+_binary64_16790`
1×	`un-div-inv_binary64_16785` `clear-num_binary64_16786` `-commutative_binary64_16718` `associate-r/_binary64_16729` `distribute-lft-out_binary64_16738` `pow-flip_binary64_16861` `inv-pow_binary64_16872` `frac-2neg_binary64_16798` `pow-prod-down_binary64_16858`

Counts

2 → 111

Calls

2 calls:

23.0ms	(*.f64 (+.f64 x y) (/.f64 1 (-.f64 1 (/.f64 y z))))
9.0ms	(/.f64 1 (-.f64 1 (/.f64 y z)))

series81.0ms (1.6%)

Counts

2 → 6

Calls

2 calls:

57.0ms	(*.f64 (+.f64 x y) (/.f64 1 (-.f64 1 (/.f64 y z))))
25.0ms	(/.f64 1 (-.f64 1 (/.f64 y z)))

simplify95.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5510	1948

prune121.0ms (2.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	116	10	126

Merged error: 5.9b

Counts

126 → 10

Compiler

Compiled 2255 to 1176 computations (47.8% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.2b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 1 (/.f64 y z))) (cbrt.f64 (-.f64 1 (/.f64 y z))))) (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 1 (/.f64 y z)))))
7.2b	(cbrt.f64 (-.f64 1 (/.f64 y z)))
7.2b	(cbrt.f64 (-.f64 1 (/.f64 y z)))
7.2b	(cbrt.f64 (-.f64 1 (/.f64 y z)))

rewrite109.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

106×	`add-sqr-sqrt_binary64_16809`
82×	`*-un-lft-identity_binary64_16787`
73×	`times-frac_binary64_16793`
59×	`cbrt-prod_binary64_16818`
50×	`associate-r_binary64_16727`
49×	`add-exp-log_binary64_16825`
29×	`add-cube-cbrt_binary64_16822`
28×	`difference-of-squares_binary64_16756`
20×	`prod-exp_binary64_16836` `cbrt-div_binary64_16819`
18×	`add-cbrt-cube_binary64_16823`
15×	`div-exp_binary64_16838` `associate-l_binary64_16728`
11×	`distribute-lft-out_binary64_16738`
10×	`flip3--_binary64_16791` `associate-/r/_binary64_16733` `flip--_binary64_16762`
9×	`unswap-sqr_binary64_16755`
8×	`cbrt-unprod_binary64_16820`
7×	`cbrt-undiv_binary64_16821` `distribute-lft-out--_binary64_16739`
6×	`pow1_binary64_16848`
5×	`frac-times_binary64_16797`
4×	`add-log-exp_binary64_16826` `rec-exp_binary64_16837` `1-exp_binary64_16831`
3×	`associate-r/_binary64_16729` `pow1/3_binary64_16869` `associate-l/_binary64_16730`
2×	`div-inv_binary64_16784`
1×	`*-commutative_binary64_16718` `pow-prod-down_binary64_16858`

Counts

4 → 160

Calls

4 calls:

59.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 1 (/.f64 y z))) (cbrt.f64 (-.f64 1 (/.f64 y z))))) (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 1 (/.f64 y z)))))
12.0ms	(cbrt.f64 (-.f64 1 (/.f64 y z)))
7.0ms	(cbrt.f64 (-.f64 1 (/.f64 y z)))
7.0ms	(cbrt.f64 (-.f64 1 (/.f64 y z)))

series564.0ms (10.9%)

Counts

4 → 12

Calls

4 calls:

153.0ms	(cbrt.f64 (-.f64 1 (/.f64 y z)))
152.0ms	(cbrt.f64 (-.f64 1 (/.f64 y z)))
151.0ms	(cbrt.f64 (-.f64 1 (/.f64 y z)))
108.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 1 (/.f64 y z))) (cbrt.f64 (-.f64 1 (/.f64 y z))))) (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 1 (/.f64 y z)))))

simplify99.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4972	4623
1	4972	4623

prune301.0ms (5.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	172	10	182

Merged error: 5.9b

Counts

182 → 10

Compiler

Compiled 5538 to 2918 computations (47.3% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.2b	(.f64 (+.f64 x y) (.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (/.f64 y z)))) (cbrt.f64 (/.f64 1 (-.f64 1 (/.f64 y z))))))
6.5b	(cbrt.f64 (/.f64 1 (-.f64 1 (/.f64 y z))))
6.5b	(cbrt.f64 (/.f64 1 (-.f64 1 (/.f64 y z))))
6.5b	(cbrt.f64 (/.f64 1 (-.f64 1 (/.f64 y z))))

rewrite100.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

114×	`add-sqr-sqrt_binary64_16809`
90×	`cbrt-prod_binary64_16818` `times-frac_binary64_16793`
79×	`*-un-lft-identity_binary64_16787`
41×	`add-cube-cbrt_binary64_16822`
36×	`difference-of-squares_binary64_16756`
15×	`cbrt-div_binary64_16819`
9×	`pow1_binary64_16848` `distribute-lft-out--_binary64_16739` `frac-times_binary64_16797` `add-exp-log_binary64_16825`
7×	`add-cbrt-cube_binary64_16823`
6×	`associate-*r/_binary64_16729` `associate-/r/_binary64_16733`
5×	`associate-*l/_binary64_16730`
4×	`add-log-exp_binary64_16826` `flip-+_binary64_16761` `associate-l_binary64_16728` `flip3-+_binary64_16790`
3×	`cbrt-unprod_binary64_16820` `prod-exp_binary64_16836` `flip3--_binary64_16791` `pow1/3_binary64_16869` `flip--_binary64_16762` `div-inv_binary64_16784` `pow-prod-down_binary64_16858`
1×	`associate-r_binary64_16727` `*-commutative_binary64_16718` `distribute-lft-out_binary64_16738` `unswap-sqr_binary64_16755`

Counts

4 → 148

Calls

4 calls:

38.0ms	(.f64 (+.f64 x y) (.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (/.f64 y z)))) (cbrt.f64 (/.f64 1 (-.f64 1 (/.f64 y z))))))
15.0ms	(cbrt.f64 (/.f64 1 (-.f64 1 (/.f64 y z))))
12.0ms	(cbrt.f64 (/.f64 1 (-.f64 1 (/.f64 y z))))
10.0ms	(cbrt.f64 (/.f64 1 (-.f64 1 (/.f64 y z))))

series792.0ms (15.2%)

Counts

4 → 12

Calls

4 calls:

268.0ms	(.f64 (+.f64 x y) (.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (/.f64 y z)))) (cbrt.f64 (/.f64 1 (-.f64 1 (/.f64 y z))))))
182.0ms	(cbrt.f64 (/.f64 1 (-.f64 1 (/.f64 y z))))
177.0ms	(cbrt.f64 (/.f64 1 (-.f64 1 (/.f64 y z))))
164.0ms	(cbrt.f64 (/.f64 1 (-.f64 1 (/.f64 y z))))

simplify155.0ms (3%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	5035	3932

prune346.0ms (6.7%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	6	6
Picked	0	1	1
Done	0	3	3
Total	160	10	170

Merged error: 5.9b

Counts

170 → 10

Compiler

Compiled 5959 to 3659 computations (38.6% saved)

regimes245.0ms (4.7%)

Compiler: Compiled 2288 to 1606 computations (29.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	13
1	27	13

end0.0ms (0%)

sample1.1s (21.8%)

Algorithm

1×

intervals

Results

308.0ms

8000×

body

128

valid

Compiler

Compiled 618 to 431 computations (30.3% saved)

Details

analyze316.0ms (6.1%)

sample15.0ms (0.3%)

simplify340.0ms (6.5%)

prune3.0ms (0%)

localize6.0ms (0.1%)

rewrite31.0ms (0.6%)

series56.0ms (1.1%)

simplify113.0ms (2.2%)

prune91.0ms (1.8%)

localize7.0ms (0.1%)

rewrite42.0ms (0.8%)

series81.0ms (1.6%)

simplify95.0ms (1.8%)

prune121.0ms (2.3%)

localize16.0ms (0.3%)

rewrite109.0ms (2.1%)

series564.0ms (10.9%)

simplify99.0ms (1.9%)

prune301.0ms (5.8%)

localize11.0ms (0.2%)

rewrite100.0ms (1.9%)

series792.0ms (15.2%)

simplify155.0ms (3%)

prune346.0ms (6.7%)

regimes245.0ms (4.7%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.1s (21.8%)

Profiling