Details

analyze1.2s (10%)

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

Compiler

Compiled 14 to 14 computations (0% saved)

sample44.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
3.0ms	87×	body	128	invalid

Compiler

Compiled 27 to 32 computations (-18.5% saved)

simplify466.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (460.0ms)

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

7.9b

Counts

2 → 1

Compiler

Compiled 26 to 26 computations (0% saved)

localize10.0ms (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)
7.5b	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))

rewrite95.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

7.7b

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)

series696.0ms (5.6%)

Error

7.7b

Counts

3 → 57

Calls

3 calls:

413.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))
193.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
54.0ms	(.f64 (.f64 z 9) t)

Compiler

Compiled 1725 to 1383 computations (19.8% saved)

simplify58.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5092	1631

prune109.0ms (0.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	99	12	111
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	12	112

Error

7.5b

Counts

112 → 12

Compiler

Compiled 1916 to 1034 computations (46% saved)

localize10.0ms (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)
7.5b	(.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (/.f64 1/2 a))

rewrite95.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

7.5b

Rules

17×	`add-sqr-sqrt_binary64_16127`
16×	`associate-r_binary64_16045`
13×	`add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141`
12×	`add-cube-cbrt_binary64_16140` `*-un-lft-identity_binary64_16105`
10×	`pow1_binary64_16166` `times-frac_binary64_16111`
5×	`prod-exp_binary64_16154` `add-log-exp_binary64_16144` `cbrt-unprod_binary64_16138`
4×	`pow-prod-down_binary64_16176` `associate-l_binary64_16046`
3×	`flip3--_binary64_16109` `flip--_binary64_16080`
2×	`frac-times_binary64_16115` `unswap-sqr_binary64_16073` `associate-l/_binary64_16048` `-commutative_binary64_16036`
1×	`div-exp_binary64_16156` `cbrt-undiv_binary64_16139` `associate-*r/_binary64_16047` `div-inv_binary64_16102` `diff-log_binary64_16197` `sub-neg_binary64_16098` `cancel-sign-sub-inv_binary64_16071`

Counts

3 → 66

Calls

3 calls:

9.0ms	(.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (/.f64 1/2 a))
5.0ms	(.f64 (.f64 z 9) t)
4.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))

Compiler

Compiled 1508 to 876 computations (41.9% saved)

series698.0ms (5.6%)

Error

7.5b

Counts

3 → 57

Calls

3 calls:

414.0ms	(.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (/.f64 1/2 a))
193.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
57.0ms	(.f64 (.f64 z 9) t)

Compiler

Compiled 1725 to 1383 computations (19.8% saved)

simplify77.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5292	1963

prune115.0ms (0.9%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	116	7	123
Fresh	6	5	11
Picked	0	1	1
Done	0	0	0
Total	122	13	135

Error

7.5b

Counts

135 → 13

Compiler

Compiled 2160 to 1160 computations (46.3% 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)))
7.4b	(/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 t z) 9)) 2))

rewrite970.0ms (7.8%)

Algorithm

1×	rewrite-expression-head

Error

7.5b

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)

series1.1s (8.5%)

Error

7.5b

Counts

4 → 84

Calls

4 calls:

423.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 t z) 9)) 2)))
335.0ms	(/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 t z) 9)) 2))
184.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 t z) 9))
51.0ms	(.f64 (.f64 t z) 9)

Compiler

Compiled 3390 to 2720 computations (19.8% saved)

simplify159.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

388 → 388

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5002	12280

prune566.0ms (4.6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	386	2	388
Fresh	1	10	11
Picked	1	0	1
Done	0	1	1
Total	388	13	401

Error

7.5b

Counts

401 → 13

Compiler

Compiled 10139 to 5437 computations (46.4% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 9 (.f64 t z))
0.4b	(/.f64 2 (-.f64 (.f64 x y) (.f64 9 (*.f64 t z))))
0.4b	(/.f64 1 (.f64 a (/.f64 2 (-.f64 (.f64 x y) (.f64 9 (.f64 t z))))))
7.2b	(.f64 a (/.f64 2 (-.f64 (.f64 x y) (.f64 9 (.f64 t z)))))

rewrite174.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

7.5b

Rules

37×	`add-exp-log_binary64_16143`
28×	`add-sqr-sqrt_binary64_16127`
25×	`add-cbrt-cube_binary64_16141`
23×	`add-cube-cbrt_binary64_16140` `*-un-lft-identity_binary64_16105`
22×	`times-frac_binary64_16111`
16×	`associate-r_binary64_16045`
14×	`pow1_binary64_16166`
11×	`div-exp_binary64_16156` `prod-exp_binary64_16154`
7×	`cbrt-unprod_binary64_16138`
6×	`cbrt-undiv_binary64_16139` `associate-l_binary64_16046` `associate-/l*_binary64_16050`
5×	`pow-prod-down_binary64_16176` `associate-/r/_binary64_16051`
4×	`add-log-exp_binary64_16144` `associate-/r*_binary64_16049`
3×	`div-inv_binary64_16102` `1-exp_binary64_16149` `rec-exp_binary64_16155`
2×	`unswap-sqr_binary64_16073` `associate-r/_binary64_16047` `flip3--_binary64_16109` `flip--_binary64_16080` `-commutative_binary64_16036` `pow-flip_binary64_16179` `frac-2neg_binary64_16116` `clear-num_binary64_16104`
1×	`inv-pow_binary64_16190`

Counts

4 → 114

Calls

4 calls:

13.0ms	(.f64 a (/.f64 2 (-.f64 (.f64 x y) (.f64 9 (.f64 t z)))))
9.0ms	(/.f64 1 (.f64 a (/.f64 2 (-.f64 (.f64 x y) (.f64 9 (.f64 t z))))))
6.0ms	(/.f64 2 (-.f64 (.f64 x y) (.f64 9 (*.f64 t z))))
5.0ms	(.f64 9 (.f64 t z))

Compiler

Compiled 2871 to 1632 computations (43.2% saved)

series1.1s (9.3%)

Error

7.5b

Counts

4 → 90

Calls

4 calls:

419.0ms	(/.f64 1 (.f64 a (/.f64 2 (-.f64 (.f64 x y) (.f64 9 (.f64 t z))))))
340.0ms	(.f64 a (/.f64 2 (-.f64 (.f64 x y) (.f64 9 (.f64 t z)))))
259.0ms	(/.f64 2 (-.f64 (.f64 x y) (.f64 9 (*.f64 t z))))
57.0ms	(.f64 9 (.f64 t z))

Compiler

Compiled 4596 to 3668 computations (20.2% saved)

simplify98.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4972	4059
1	4972	4059

prune186.0ms (1.5%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	202	2	204
Fresh	2	9	11
Picked	0	1	1
Done	0	1	1
Total	204	13	217

Error

7.5b

Counts

217 → 13

Compiler

Compiled 3934 to 1973 computations (49.8% saved)

regimes1.4s (11.7%)

Accuracy

Total 0.5b remaining (6.6%)

Threshold costs 0.5b (6.6%)

Compiler

Compiled 17220 to 14903 computations (13.5% 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

Compiler

Compiled 52 to 52 computations (0% saved)

end0.0ms (0%)

sample2.8s (22.9%)

Algorithm

1×

intervals

Results

352.0ms	8000×	body	128	valid
125.0ms	3095×	body	128	invalid

Compiler

Compiled 1636 to 1410 computations (13.8% saved)

Details

analyze1.2s (10%)

sample44.0ms (0.4%)

simplify466.0ms (3.8%)

prune3.0ms (0%)

localize10.0ms (0.1%)

rewrite95.0ms (0.8%)

series696.0ms (5.6%)

simplify58.0ms (0.5%)

prune109.0ms (0.9%)

localize10.0ms (0.1%)

rewrite95.0ms (0.8%)

series698.0ms (5.6%)

simplify77.0ms (0.6%)

prune115.0ms (0.9%)

localize11.0ms (0.1%)

rewrite970.0ms (7.8%)

series1.1s (8.5%)

simplify159.0ms (1.3%)

prune566.0ms (4.6%)

localize11.0ms (0.1%)

rewrite174.0ms (1.4%)

series1.1s (9.3%)

simplify98.0ms (0.8%)

prune186.0ms (1.5%)

regimes1.4s (11.7%)

bsearch0.0ms (0%)

simplify24.0ms (0.2%)

end0.0ms (0%)

sample2.8s (22.9%)

Profiling