Details

analyze170.0ms (3.9%)

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
18.7%	81.1%	0.1%	6
40.6%	59.3%	0.1%	7
45.2%	54.6%	0.1%	8
65.5%	34.3%	0.1%	9
78%	21.8%	0.1%	10
80%	19.5%	0.5%	11
81.7%	17.7%	0.5%	12
87.9%	11.3%	0.8%	13
88.3%	10.1%	1.6%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample13.0ms (0.3%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify244.0ms (5.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	1003	10
1	1003	10

prune2.0ms (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: 0.1b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.1b	(/.f64 (-.f64 x y) (-.f64 z y))

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`*-un-lft-identity_binary64_16105` `add-sqr-sqrt_binary64_16127`
25×	`times-frac_binary64_16111`
13×	`add-cube-cbrt_binary64_16140`
12×	`difference-of-squares_binary64_16074` `distribute-lft-out--_binary64_16057`
5×	`associate-/r_binary64_16049` `associate-/l_binary64_16050`
3×	`add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141`
2×	`flip--_binary64_16080` `flip3--_binary64_16109` `associate-/l/_binary64_16052` `associate-/r/_binary64_16051`
1×	`div-exp_binary64_16156` `cbrt-undiv_binary64_16139` `add-log-exp_binary64_16144` `div-inv_binary64_16102` `pow1_binary64_16166` `frac-2neg_binary64_16116` `div-sub_binary64_16110` `clear-num_binary64_16104`

Counts

1 → 52

Calls

1 calls:

8.0ms

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

series46.0ms (1.1%)

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify119.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4865	989
1	4865	989

prune49.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	51	4	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	5	56

Merged error: 0.0b

Counts

56 → 5

Compiler

Compiled 843 to 194 computations (77% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
0.0b	(/.f64 x (-.f64 z y))
0.0b	(/.f64 y (-.f64 z y))

rewrite55.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

82×	`*-un-lft-identity_binary64_16105`
72×	`add-sqr-sqrt_binary64_16127`
63×	`times-frac_binary64_16111`
34×	`add-cube-cbrt_binary64_16140`
23×	`distribute-lft-out--_binary64_16057`
21×	`cancel-sign-sub-inv_binary64_16071`
17×	`difference-of-squares_binary64_16074`
10×	`associate-/r/_binary64_16051` `associate-/r*_binary64_16049`
7×	`add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141`
6×	`flip--_binary64_16080` `flip3--_binary64_16109` `associate-/l*_binary64_16050`
5×	`add-log-exp_binary64_16144` `div-inv_binary64_16102`
3×	`pow1_binary64_16166` `distribute-rgt-out--_binary64_16059`
2×	`div-exp_binary64_16156` `cbrt-undiv_binary64_16139` `frac-2neg_binary64_16116` `clear-num_binary64_16104`
1×	`diff-log_binary64_16197` `sub-neg_binary64_16098` `sub-div_binary64_16112` `frac-sub_binary64_16114`

Counts

3 → 123

Calls

3 calls:

35.0ms	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
5.0ms	(/.f64 y (-.f64 z y))
5.0ms	(/.f64 x (-.f64 z y))

series160.0ms (3.7%)

Counts

3 → 9

Calls

3 calls:

87.0ms	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
40.0ms	(/.f64 y (-.f64 z y))
33.0ms	(/.f64 x (-.f64 z y))

simplify75.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4988	2004
1	4988	2004

prune110.0ms (2.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	132	5	137

Merged error: 0.0b

Counts

137 → 5

Compiler

Compiled 2277 to 415 computations (81.8% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
0.6b	(cbrt.f64 (-.f64 x y))
0.6b	(cbrt.f64 (-.f64 x y))
0.6b	(cbrt.f64 (-.f64 x y))

rewrite32.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`cbrt-prod_binary64_16136`
37×	`add-sqr-sqrt_binary64_16127`
35×	`*-un-lft-identity_binary64_16105`
18×	`cbrt-div_binary64_16137`
15×	`add-cube-cbrt_binary64_16140`
11×	`pow1_binary64_16166`
10×	`swap-sqr_binary64_16072`
9×	`pow1/3_binary64_16187` `flip--_binary64_16080` `flip3--_binary64_16109` `distribute-lft-out--_binary64_16057`
8×	`associate-r_binary64_16045` `associate-l_binary64_16046`
7×	`difference-of-squares_binary64_16074`
6×	`add-exp-log_binary64_16143`
4×	`frac-times_binary64_16115` `add-log-exp_binary64_16144` `unswap-sqr_binary64_16073` `add-cbrt-cube_binary64_16141`
2×	`associate-r/_binary64_16047` `pow-prod-up_binary64_16175` `pow-sqr_binary64_16078` `pow-prod-down_binary64_16176` `associate-l/_binary64_16048`
1×	`cbrt-unprod_binary64_16138` `pow-plus_binary64_16168` `*-commutative_binary64_16036` `prod-exp_binary64_16154` `pow2_binary64_16186`

Counts

4 → 101

Calls

4 calls:

14.0ms	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
3.0ms	(cbrt.f64 (-.f64 x y))
3.0ms	(cbrt.f64 (-.f64 x y))
3.0ms	(cbrt.f64 (-.f64 x y))

series523.0ms (12.1%)

Counts

4 → 12

Calls

4 calls:

157.0ms	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
127.0ms	(cbrt.f64 (-.f64 x y))
125.0ms	(cbrt.f64 (-.f64 x y))
114.0ms	(cbrt.f64 (-.f64 x y))

simplify106.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4914	1626
1	4914	1626

prune106.0ms (2.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	113	5	118

Merged error: 0.0b

Counts

118 → 5

Compiler

Compiled 2670 to 584 computations (78.1% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 (sqrt.f64 y) (/.f64 (-.f64 z y) (sqrt.f64 y))))
0.0b	(/.f64 x (-.f64 z y))
0.1b	(/.f64 (sqrt.f64 y) (/.f64 (-.f64 z y) (sqrt.f64 y)))
0.2b	(/.f64 (-.f64 z y) (sqrt.f64 y))

rewrite401.0ms (9.3%)

Algorithm

1×	rewrite-expression-head

Rules

874×	`times-frac_binary64_16111`
626×	`add-sqr-sqrt_binary64_16127`
582×	`*-un-lft-identity_binary64_16105`
430×	`sqrt-prod_binary64_16121`
393×	`add-cube-cbrt_binary64_16140`
209×	`cancel-sign-sub-inv_binary64_16071`
103×	`difference-of-squares_binary64_16074`
93×	`distribute-lft-out--_binary64_16057`
45×	`associate-/r*_binary64_16049`
17×	`div-inv_binary64_16102`
14×	`associate-/l*_binary64_16050`
13×	`add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141`
6×	`add-log-exp_binary64_16144`
5×	`div-exp_binary64_16156` `cbrt-undiv_binary64_16139`
4×	`pow1_binary64_16166` `associate-/r/_binary64_16051`
3×	`flip--_binary64_16080` `flip3--_binary64_16109` `frac-2neg_binary64_16116` `clear-num_binary64_16104`
2×	`associate-/l/_binary64_16052`
1×	`diff-log_binary64_16197` `sub-neg_binary64_16098` `frac-sub_binary64_16114` `div-sub_binary64_16110`

Counts

4 → 590

Calls

4 calls:

252.0ms	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 (sqrt.f64 y) (/.f64 (-.f64 z y) (sqrt.f64 y))))
27.0ms	(/.f64 (sqrt.f64 y) (/.f64 (-.f64 z y) (sqrt.f64 y)))
13.0ms	(/.f64 (-.f64 z y) (sqrt.f64 y))
5.0ms	(/.f64 x (-.f64 z y))

series229.0ms (5.3%)

Counts

4 → 12

Calls

4 calls:

110.0ms	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 (sqrt.f64 y) (/.f64 (-.f64 z y) (sqrt.f64 y))))
46.0ms	(/.f64 (sqrt.f64 y) (/.f64 (-.f64 z y) (sqrt.f64 y)))
36.0ms	(/.f64 x (-.f64 z y))
36.0ms	(/.f64 (-.f64 z y) (sqrt.f64 y))

simplify239.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

602 → 602

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4977	15943
1	4977	15943

prune697.0ms (16.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	602	0	602
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	602	5	607

Merged error: 0.0b

Counts

607 → 5

Compiler

Compiled 14431 to 1571 computations (89.1% saved)

regimes133.0ms (3.1%)

Compiler: Compiled 912 to 622 computations (31.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	16
1	27	16

end0.0ms (0%)

sample764.0ms (17.7%)

Algorithm

1×

intervals

Results

232.0ms	8000×	body	128	valid
6.0ms	228×	body	128	invalid

Compiler

Compiled 234 to 159 computations (32.1% saved)

Details

analyze170.0ms (3.9%)

sample13.0ms (0.3%)

simplify244.0ms (5.6%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite12.0ms (0.3%)

series46.0ms (1.1%)

simplify119.0ms (2.7%)

prune49.0ms (1.1%)

localize7.0ms (0.2%)

rewrite55.0ms (1.3%)

series160.0ms (3.7%)

simplify75.0ms (1.7%)

prune110.0ms (2.5%)

localize11.0ms (0.3%)

rewrite32.0ms (0.7%)

series523.0ms (12.1%)

simplify106.0ms (2.4%)

prune106.0ms (2.5%)

localize12.0ms (0.3%)

rewrite401.0ms (9.3%)

series229.0ms (5.3%)

simplify239.0ms (5.5%)

prune697.0ms (16.1%)

regimes133.0ms (3.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample764.0ms (17.7%)

Profiling