Details

analyze598.0ms (9.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
15.6%	80.3%	4.1%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample17.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	37×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify101.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

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: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z t))

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_4891`
1×	`add-exp-log_binary64_4890` `+-commutative_binary64_4782` `flip-+_binary64_4826` `add-cube-cbrt_binary64_4887` `add-cbrt-cube_binary64_4888` `*-un-lft-identity_binary64_4852` `add-sqr-sqrt_binary64_4874` `pow1_binary64_4913` `flip3-+_binary64_4855` `sum-log_binary64_4943`

Counts

1 → 11

Calls

1 calls:

5.0ms

(+.f64 (*.f64 x y) (*.f64 z t))

series148.0ms (2.4%)

Counts

1 → 24

Calls

1 calls:

148.0ms

(+.f64 (*.f64 x y) (*.f64 z t))

Compiler

Compiled 212 to 236 computations (-11.3% saved)

simplify73.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5065	363

prune24.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	31	4	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	5	36

Merged error: 0.0b

Counts

36 → 5

Compiler

Compiled 359 to 95 computations (73.5% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
1.8b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
1.8b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
1.8b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

rewrite34.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_4883`
23×	`add-sqr-sqrt_binary64_4874`
18×	`cbrt-div_binary64_4884`
15×	`add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852`
11×	`pow1_binary64_4913`
9×	`flip-+_binary64_4826` `pow1/3_binary64_4934` `flip3-+_binary64_4855`
6×	`add-exp-log_binary64_4890` `associate-l_binary64_4793` `associate-r_binary64_4792` `swap-sqr_binary64_4819`
4×	`unswap-sqr_binary64_4820` `frac-times_binary64_4862` `add-cbrt-cube_binary64_4888` `add-log-exp_binary64_4891`
2×	`associate-r/_binary64_4794` `pow-prod-up_binary64_4922` `pow-sqr_binary64_4825` `associate-l/_binary64_4795` `pow-prod-down_binary64_4923`
1×	`cbrt-unprod_binary64_4885` `pow-plus_binary64_4915` `prod-exp_binary64_4901` `pow2_binary64_4933` `*-commutative_binary64_4783`

Counts

4 → 87

Calls

4 calls:

12.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
3.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

series1.4s (22.2%)

Counts

4 → 102

Calls

4 calls:

347.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
347.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
339.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
338.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

Compiler

Compiled 7182 to 4708 computations (34.4% saved)

simplify70.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5037	5210

prune198.0ms (3.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	187	2	189
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	189	5	194

Merged error: 0b

Counts

194 → 5

Compiler

Compiled 6616 to 1009 computations (84.7% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.8b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
1.8b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
3.0b	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t)))
26.6b	(cbrt.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t))))

rewrite31.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`cbrt-prod_binary64_4883`
7×	`add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852` `add-sqr-sqrt_binary64_4874`
6×	`cbrt-div_binary64_4884` `add-log-exp_binary64_4891`
4×	`add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888` `pow1_binary64_4913`
3×	`pow1/3_binary64_4934`
2×	`difference-of-squares_binary64_4821` `flip3--_binary64_4856` `flip-+_binary64_4826` `flip--_binary64_4827` `flip3-+_binary64_4855`
1×	`cancel-sign-sub-inv_binary64_4818` `sub-neg_binary64_4845` `diff-log_binary64_4944`

Counts

4 → 53

Calls

4 calls:

8.0ms	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t)))
8.0ms	(cbrt.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t))))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

series1.5s (25%)

Counts

4 → 92

Calls

4 calls:

447.0ms	(cbrt.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t))))
402.0ms	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t)))
348.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
344.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

Compiler

Compiled 8174 to 4790 computations (41.4% saved)

simplify61.0ms (1%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5035	3780

prune167.0ms (2.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	145	5	150

Merged error: 0b

Counts

150 → 5

Compiler

Compiled 7274 to 767 computations (89.5% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.3b	(.f64 (sqrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (sqrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
1.4b	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
1.4b	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

rewrite36.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_4874`
24×	`sqrt-prod_binary64_4868`
21×	`pow1_binary64_4913`
16×	`sqrt-div_binary64_4869`
14×	`add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852`
10×	`pow1/2_binary64_4932` `sqrt-pow1_binary64_4870`
9×	`flip-+_binary64_4826` `flip3-+_binary64_4855`
8×	`swap-sqr_binary64_4819`
6×	`add-exp-log_binary64_4890` `associate-l_binary64_4793` `add-cbrt-cube_binary64_4888` `associate-r_binary64_4792` `add-log-exp_binary64_4891`
5×	`pow-prod-up_binary64_4922`
4×	`unswap-sqr_binary64_4820` `frac-times_binary64_4862` `rem-sqrt-square_binary64_4865`
3×	`pow-sqr_binary64_4825` `pow-prod-down_binary64_4923`
2×	`associate-r/_binary64_4794` `associate-l/_binary64_4795`
1×	`sqrt-unprod_binary64_4872` `+-commutative_binary64_4782` `cbrt-unprod_binary64_4885` `pow-plus_binary64_4915` `prod-exp_binary64_4901` `rem-square-sqrt_binary64_4864` `pow2_binary64_4933` `sqr-abs_binary64_4867` `sum-log_binary64_4943` `*-commutative_binary64_4783`

Counts

4 → 99

Calls

4 calls:

13.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (sqrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
4.0ms	(+.f64 (.f64 x y) (.f64 z t))
4.0ms	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
4.0ms	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

series498.0ms (8.1%)

Counts

4 → 80

Calls

4 calls:

149.0ms	(+.f64 (.f64 x y) (.f64 z t))
137.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (sqrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
109.0ms	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
103.0ms	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

Compiler

Compiled 2144 to 1706 computations (20.4% saved)

simplify88.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4959	2413
1	4959	2413

prune112.0ms (1.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	179	0	179
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	179	5	184

Merged error: 0b

Counts

184 → 5

Compiler

Compiled 3050 to 408 computations (86.6% saved)

regimes197.0ms (3.2%)

Compiler: Compiled 2141 to 1242 computations (42% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

end0.0ms (0%)

sample752.0ms (12.2%)

Algorithm

1×

intervals

Results

226.0ms	8000×	body	128	valid
38.0ms	1374×	body	128	invalid

Compiler

Compiled 316 to 187 computations (40.8% saved)

Details

analyze598.0ms (9.7%)

sample17.0ms (0.3%)

simplify101.0ms (1.6%)

prune3.0ms (0%)

localize5.0ms (0.1%)

rewrite5.0ms (0.1%)

series148.0ms (2.4%)

simplify73.0ms (1.2%)

prune24.0ms (0.4%)

localize9.0ms (0.1%)

rewrite34.0ms (0.5%)

series1.4s (22.2%)

simplify70.0ms (1.1%)

prune198.0ms (3.2%)

localize19.0ms (0.3%)

rewrite31.0ms (0.5%)

series1.5s (25%)

simplify61.0ms (1%)

prune167.0ms (2.7%)

localize8.0ms (0.1%)

rewrite36.0ms (0.6%)

series498.0ms (8.1%)

simplify88.0ms (1.4%)

prune112.0ms (1.8%)

regimes197.0ms (3.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample752.0ms (12.2%)

Profiling