Details

analyze1.7s (14.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4999	209
1	4999	209
0	5	5
1	5	5

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
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
9.4%	90.4%	0.2%	11
9.4%	90.4%	0.2%	12
10.1%	89.6%	0.2%	13
20.8%	78.9%	0.2%	14

Symmetry

sort(x y)

sort(z t)

Compiler

Compiled 14 to 14 computations (0% saved)

sample46.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
4.0ms	106×	body	128	invalid

Compiler

Compiled 27 to 32 computations (-18.5% saved)

simplify456.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (451.0ms)

Iter	Nodes	Cost
0	4162	19
1	4162	19

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

Error

5.7b

Counts

2 → 1

Compiler

Compiled 26 to 26 computations (0% saved)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
0.2b	(.f64 (.f64 z 9) t)
5.4b	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))

rewrite84.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

5.5b

Rules

13×	`add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141`
8×	`pow1_binary64_16166`
6×	`add-cube-cbrt_binary64_16140` `add-sqr-sqrt_binary64_16127` `*-un-lft-identity_binary64_16105`
5×	`add-log-exp_binary64_16144`
4×	`prod-exp_binary64_16154` `cbrt-unprod_binary64_16138`
3×	`times-frac_binary64_16111` `associate-/l_binary64_16050` `pow-prod-down_binary64_16176` `associate-r*_binary64_16045`
2×	`div-exp_binary64_16156` `cbrt-undiv_binary64_16139` `flip3--_binary64_16109` `associate-/l/_binary64_16052` `flip--_binary64_16080`
1×	`frac-2neg_binary64_16116` `div-sub_binary64_16110` `clear-num_binary64_16104` `div-inv_binary64_16102` `associate-/r_binary64_16049` `associate-l_binary64_16046` `-commutative_binary64_16036` `diff-log_binary64_16197` `sub-neg_binary64_16098` `cancel-sign-sub-inv_binary64_16071`

Counts

3 → 54

Calls

3 calls:

8.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))
5.0ms	(.f64 (.f64 z 9) t)
4.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))

Compiler

Compiled 1206 to 698 computations (42.1% saved)

series672.0ms (5.7%)

Error

5.5b

Counts

3 → 57

Calls

3 calls:

408.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))
183.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
48.0ms	(.f64 (.f64 z 9) t)

Compiler

Compiled 1725 to 1383 computations (19.8% saved)

simplify62.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5092	1631

prune101.0ms (0.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	100	11	111
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	100	12	112

Error

5.4b

Counts

112 → 12

Compiler

Compiled 1902 to 1018 computations (46.5% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 z (*.f64 t 9)))
0.2b	(.f64 z (.f64 t 9))
5.4b	(/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 t 9))) (.f64 a 2))

rewrite74.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

5.4b

Rules

13×	`add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141`
8×	`pow1_binary64_16166`
6×	`add-cube-cbrt_binary64_16140` `add-sqr-sqrt_binary64_16127` `*-un-lft-identity_binary64_16105`
5×	`add-log-exp_binary64_16144`
4×	`prod-exp_binary64_16154` `cbrt-unprod_binary64_16138`
3×	`times-frac_binary64_16111` `associate-/l_binary64_16050` `pow-prod-down_binary64_16176` `associate-l*_binary64_16046`
2×	`div-exp_binary64_16156` `cbrt-undiv_binary64_16139` `flip3--_binary64_16109` `associate-/l/_binary64_16052` `flip--_binary64_16080`
1×	`frac-2neg_binary64_16116` `div-sub_binary64_16110` `clear-num_binary64_16104` `div-inv_binary64_16102` `associate-/r_binary64_16049` `associate-r_binary64_16045` `-commutative_binary64_16036` `diff-log_binary64_16197` `sub-neg_binary64_16098` `cancel-sign-sub-inv_binary64_16071`

Counts

3 → 54

Calls

3 calls:

7.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 t 9))) (.f64 a 2))
5.0ms	(.f64 z (.f64 t 9))
4.0ms	(-.f64 (.f64 x y) (.f64 z (*.f64 t 9)))

Compiler

Compiled 1206 to 698 computations (42.1% saved)

series691.0ms (5.8%)

Error

5.4b

Counts

3 → 57

Calls

3 calls:

415.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 t 9))) (.f64 a 2))
190.0ms	(-.f64 (.f64 x y) (.f64 z (*.f64 t 9)))
55.0ms	(.f64 z (.f64 t 9))

Compiler

Compiled 1725 to 1383 computations (19.8% saved)

simplify70.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4934	1629
1	4934	1629

prune89.0ms (0.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	111	12	123

Error

5.4b

Counts

123 → 12

Compiler

Compiled 1891 to 1007 computations (46.7% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 t z) 9)) 2)
0.0b	(-.f64 (.f64 x y) (.f64 (*.f64 t z) 9))
0.2b	(.f64 (.f64 t z) 9)
5.5b	(.f64 (/.f64 1 a) (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 t z) 9)) 2))

rewrite173.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

5.4b

Rules

44×	`add-sqr-sqrt_binary64_16127`
34×	`times-frac_binary64_16111`
33×	`add-exp-log_binary64_16143`
29×	`*-un-lft-identity_binary64_16105`
27×	`add-cube-cbrt_binary64_16140`
23×	`add-cbrt-cube_binary64_16141`
16×	`associate-r_binary64_16045`
14×	`associate-l_binary64_16046`
11×	`pow1_binary64_16166` `prod-exp_binary64_16154`
9×	`div-exp_binary64_16156`
7×	`cbrt-unprod_binary64_16138`
6×	`add-log-exp_binary64_16144` `unswap-sqr_binary64_16073`
5×	`cbrt-undiv_binary64_16139`
4×	`pow-prod-down_binary64_16176`
3×	`div-inv_binary64_16102` `associate-/l_binary64_16050` `associate-/r_binary64_16049`
2×	`1-exp_binary64_16149` `rec-exp_binary64_16155` `*-commutative_binary64_16036` `flip3--_binary64_16109` `flip--_binary64_16080` `associate-/l/_binary64_16052`
1×	`frac-times_binary64_16115` `associate-l/_binary64_16048` `associate-r/_binary64_16047` `diff-log_binary64_16197` `sub-neg_binary64_16098` `cancel-sign-sub-inv_binary64_16071` `frac-2neg_binary64_16116` `div-sub_binary64_16110` `clear-num_binary64_16104`

Counts

4 → 116

Calls

4 calls:

13.0ms	(.f64 (/.f64 1 a) (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 t z) 9)) 2))
5.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 t z) 9)) 2)
5.0ms	(.f64 (.f64 t z) 9)
4.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 t z) 9))

Compiler

Compiled 3001 to 1719 computations (42.7% saved)

series926.0ms (7.8%)

Error

5.4b

Counts

4 → 81

Calls

4 calls:

390.0ms	(.f64 (/.f64 1 a) (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 t z) 9)) 2))
238.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 t z) 9)) 2)
186.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 t z) 9))
58.0ms	(.f64 (.f64 t z) 9)

Compiler

Compiled 2637 to 2187 computations (17.1% saved)

simplify81.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4944	3468
1	4944	3468

prune191.0ms (1.6%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	194	3	197
Fresh	2	7	9
Picked	0	1	1
Done	1	1	2
Total	197	12	209

Error

5.4b

Counts

209 → 12

Compiler

Compiled 3762 to 2118 computations (43.7% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 (*.f64 t z) 9))
0.2b	(.f64 (.f64 t z) 9)
0.4b	(/.f64 1 (/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 t z) 9)) 2)))
5.4b	(/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 t z) 9)) 2))

rewrite600.0ms (5.1%)

Algorithm

1×	rewrite-expression-head

Error

5.4b

Rules

471×	`times-frac_binary64_16111`
232×	`add-cube-cbrt_binary64_16140` `add-sqr-sqrt_binary64_16127` `*-un-lft-identity_binary64_16105`
57×	`associate-/r*_binary64_16049`
35×	`add-exp-log_binary64_16143`
23×	`add-cbrt-cube_binary64_16141`
22×	`div-inv_binary64_16102`
18×	`div-exp_binary64_16156`
10×	`pow1_binary64_16166`
9×	`cbrt-undiv_binary64_16139`
6×	`add-log-exp_binary64_16144` `associate-/r/_binary64_16051` `associate-/l*_binary64_16050`
3×	`1-exp_binary64_16149` `rec-exp_binary64_16155` `pow-prod-down_binary64_16176` `prod-exp_binary64_16154` `cbrt-unprod_binary64_16138` `associate-r_binary64_16045`
2×	`frac-2neg_binary64_16116` `clear-num_binary64_16104`
1×	`inv-pow_binary64_16190` `pow-flip_binary64_16179` `associate-l_binary64_16046` `*-commutative_binary64_16036` `diff-log_binary64_16197` `flip3--_binary64_16109` `sub-neg_binary64_16098` `flip--_binary64_16080` `cancel-sign-sub-inv_binary64_16071`

Counts

4 → 304

Calls

4 calls:

14.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 t z) 9)) 2)))
7.0ms	(/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 t z) 9)) 2))
5.0ms	(.f64 (.f64 t z) 9)
4.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 t z) 9))

Compiler

Compiled 9926 to 5742 computations (42.2% saved)

series974.0ms (8.2%)

Error

5.4b

Counts

4 → 78

Calls

4 calls:

407.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 t z) 9)) 2)))
270.0ms	(/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 t z) 9)) 2))
187.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 t z) 9))
58.0ms	(.f64 (.f64 t z) 9)

Compiler

Compiled 2970 to 2419 computations (18.6% saved)

simplify155.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

382 → 382

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4959	12076
1	4959	12076

prune544.0ms (4.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	379	3	382
Fresh	3	6	9
Picked	1	0	1
Done	0	2	2
Total	383	11	394

Error

5.4b

Counts

394 → 11

Compiler

Compiled 9767 to 5201 computations (46.7% saved)

regimes1.6s (13.8%)

Accuracy

Total 0.4b remaining (5.9%)

Threshold costs 0.4b (5.9%)

Compiler

Compiled 20722 to 17735 computations (14.4% saved)

bsearch0.0ms (0%)

simplify24.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	60	19
1	60	19

Removed

((sort z t) (sort x y))

Compiler

Compiled 52 to 52 computations (0% saved)

end0.0ms (0%)

sample2.4s (20.3%)

Algorithm

1×

intervals

Results

330.0ms	8000×	body	128	valid
143.0ms	3107×	body	128	invalid

Compiler

Compiled 1816 to 1554 computations (14.4% saved)

Details

analyze1.7s (14.7%)

sample46.0ms (0.4%)

simplify456.0ms (3.9%)

prune3.0ms (0%)

localize16.0ms (0.1%)

rewrite84.0ms (0.7%)

series672.0ms (5.7%)

simplify62.0ms (0.5%)

prune101.0ms (0.9%)

localize12.0ms (0.1%)

rewrite74.0ms (0.6%)

series691.0ms (5.8%)

simplify70.0ms (0.6%)

prune89.0ms (0.8%)

localize11.0ms (0.1%)

rewrite173.0ms (1.5%)

series926.0ms (7.8%)

simplify81.0ms (0.7%)

prune191.0ms (1.6%)

localize11.0ms (0.1%)

rewrite600.0ms (5.1%)

series974.0ms (8.2%)

simplify155.0ms (1.3%)

prune544.0ms (4.6%)

regimes1.6s (13.8%)

bsearch0.0ms (0%)

simplify24.0ms (0.2%)

end0.0ms (0%)

sample2.4s (20.3%)

Profiling