Details

analyze946.0ms (12.9%)

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
2.3%	97.4%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
33.2%	66.5%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample24.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	21×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify481.0ms (6.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (389.0ms)

Iter	Nodes	Cost
0	4977	16
1	4977	16

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: 10.6b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
0.0b	(*.f64 y (-.f64 z t))
11.5b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))

rewrite36.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_14763` `*-un-lft-identity_binary64_14741`
10×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
9×	`add-cube-cbrt_binary64_14776`
6×	`cancel-sign-sub-inv_binary64_14707`
5×	`associate-/r_binary64_14685` `times-frac_binary64_14747` `add-log-exp_binary64_14780` `associate-r*_binary64_14681` `pow1_binary64_14802`
4×	`distribute-lft-in_binary64_14690` `associate-*r/_binary64_14683` `distribute-rgt-in_binary64_14691`
3×	`distribute-lft-out--_binary64_14693` `associate-l_binary64_14682` `flip--_binary64_14716` `difference-of-squares_binary64_14710` `flip3--_binary64_14745`
2×	`cbrt-undiv_binary64_14775` `cbrt-unprod_binary64_14774` `associate-/l/_binary64_14688` `associate-/r/_binary64_14687` `div-exp_binary64_14792` `sub-neg_binary64_14734` `prod-exp_binary64_14790`
1×	`unswap-sqr_binary64_14709` `frac-2neg_binary64_14752` `div-inv_binary64_14738` `pow-prod-down_binary64_14812` `distribute-lft-out_binary64_14692` `+-commutative_binary64_14671` `associate-/l_binary64_14686` `-commutative_binary64_14672` `flip-+_binary64_14715` `sum-log_binary64_14832` `clear-num_binary64_14740` `flip3-+_binary64_14744`

Counts

3 → 71

Calls

3 calls:

16.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
8.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
7.0ms	(*.f64 y (-.f64 z t))

series757.0ms (10.4%)

Counts

3 → 67

Calls

3 calls:

417.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
233.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
107.0ms	(*.f64 y (-.f64 z t))

Compiler

Compiled 1699 to 1345 computations (20.8% saved)

simplify73.0ms (1%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5125	2108

prune113.0ms (1.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	131	7	138
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	132	7	139

Merged error: 0.0b

Counts

139 → 7

Compiler

Compiled 2144 to 495 computations (76.9% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
0.0b	(/.f64 (-.f64 z a) (-.f64 z t))
2.1b	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))

rewrite79.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64_14747`
197×	`*-un-lft-identity_binary64_14741`
195×	`add-sqr-sqrt_binary64_14763`
91×	`add-cube-cbrt_binary64_14776`
52×	`distribute-lft-out--_binary64_14693` `difference-of-squares_binary64_14710`
36×	`associate-/r*_binary64_14685`
11×	`associate-/r/_binary64_14687`
10×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
8×	`associate-/l*_binary64_14686`
6×	`div-inv_binary64_14738` `flip--_binary64_14716` `flip3--_binary64_14745`
5×	`add-log-exp_binary64_14780`
4×	`cbrt-undiv_binary64_14775` `div-exp_binary64_14792`
3×	`pow1_binary64_14802`
2×	`frac-2neg_binary64_14752` `associate-/l/_binary64_14688` `clear-num_binary64_14740`
1×	`div-sub_binary64_14746` `distribute-lft-out_binary64_14692` `+-commutative_binary64_14671` `flip-+_binary64_14715` `sum-log_binary64_14832` `flip3-+_binary64_14744`

Counts

3 → 206

Calls

3 calls:

29.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
16.0ms	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
9.0ms	(/.f64 (-.f64 z a) (-.f64 z t))

series800.0ms (10.9%)

Counts

3 → 73

Calls

3 calls:

412.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
224.0ms	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
164.0ms	(/.f64 (-.f64 z a) (-.f64 z t))

Compiler

Compiled 2105 to 1646 computations (21.8% saved)

simplify97.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

279 → 279

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5162	6616

prune206.0ms (2.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	278	1	279
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	281	5	286

Merged error: 0b

Counts

286 → 5

Compiler

Compiled 5620 to 1004 computations (82.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
0.0b	(/.f64 (-.f64 z t) (-.f64 z a))
2.0b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

rewrite43.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-sqr-sqrt_binary64_14763`
71×	`*-un-lft-identity_binary64_14741`
51×	`times-frac_binary64_14747`
31×	`associate-r_binary64_14681`
27×	`add-cube-cbrt_binary64_14776`
22×	`distribute-lft-out--_binary64_14693` `difference-of-squares_binary64_14710`
10×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
5×	`associate-/r_binary64_14685` `add-log-exp_binary64_14780` `associate-/l_binary64_14686` `pow1_binary64_14802`
4×	`associate-/r/_binary64_14687`
3×	`associate-l_binary64_14682` `flip--_binary64_14716` `flip3--_binary64_14745`
2×	`unswap-sqr_binary64_14709` `div-inv_binary64_14738` `cbrt-undiv_binary64_14775` `cbrt-unprod_binary64_14774` `associate-/l/_binary64_14688` `div-exp_binary64_14792` `prod-exp_binary64_14790`
1×	`div-sub_binary64_14746` `frac-2neg_binary64_14752` `pow-prod-down_binary64_14812` `associate-r/_binary64_14683` `+-commutative_binary64_14671` `-commutative_binary64_14672` `flip-+_binary64_14715` `sum-log_binary64_14832` `clear-num_binary64_14740` `flip3-+_binary64_14744`

Counts

3 → 113

Calls

3 calls:

16.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
9.0ms	(/.f64 (-.f64 z t) (-.f64 z a))
3.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))

series784.0ms (10.7%)

Counts

3 → 70

Calls

3 calls:

420.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
229.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
135.0ms	(/.f64 (-.f64 z t) (-.f64 z a))

Compiler

Compiled 1911 to 1499 computations (21.6% saved)

simplify100.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4969	3400
1	4969	3400

prune126.0ms (1.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	183	0	183
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	183	5	188

Merged error: 0b

Counts

188 → 5

Compiler

Compiled 3263 to 673 computations (79.4% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t)))
0.0b	(/.f64 y (-.f64 z a))
12.4b	(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))

rewrite33.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`add-sqr-sqrt_binary64_14763`
43×	`*-un-lft-identity_binary64_14741`
31×	`times-frac_binary64_14747`
27×	`add-cube-cbrt_binary64_14776`
21×	`associate-l_binary64_14682`
12×	`cancel-sign-sub-inv_binary64_14707`
10×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
8×	`distribute-lft-out--_binary64_14693` `distribute-lft-in_binary64_14690` `difference-of-squares_binary64_14710` `associate-+r+_binary64_14673` `distribute-rgt-in_binary64_14691`
5×	`associate-/r_binary64_14685` `add-log-exp_binary64_14780` `associate-r*_binary64_14681` `pow1_binary64_14802`
4×	`associate-/r/_binary64_14687` `sub-neg_binary64_14734` `flip--_binary64_14716` `flip3--_binary64_14745`
3×	`associate-/l*_binary64_14686`
2×	`unswap-sqr_binary64_14709` `div-inv_binary64_14738` `cbrt-undiv_binary64_14775` `frac-times_binary64_14751` `cbrt-unprod_binary64_14774` `associate-*r/_binary64_14683` `div-exp_binary64_14792` `prod-exp_binary64_14790`
1×	`frac-2neg_binary64_14752` `pow-prod-down_binary64_14812` `+-commutative_binary64_14671` `associate-l/_binary64_14684` `-commutative_binary64_14672` `flip-+_binary64_14715` `sum-log_binary64_14832` `clear-num_binary64_14740` `flip3-+_binary64_14744`

Counts

3 → 110

Calls

3 calls:

14.0ms	(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))
5.0ms	(/.f64 y (-.f64 z a))
4.0ms	(+.f64 x (*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t)))

series706.0ms (9.7%)

Counts

3 → 69

Calls

3 calls:

395.0ms	(+.f64 x (*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t)))
213.0ms	(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))
97.0ms	(/.f64 y (-.f64 z a))

Compiler

Compiled 1860 to 1464 computations (21.3% saved)

simplify83.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4981	3121
1	4981	3121

prune124.0ms (1.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	178	1	179
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	179	5	184

Merged error: 0b

Counts

184 → 5

Compiler

Compiled 3084 to 637 computations (79.3% saved)

regimes478.0ms (6.5%)

Compiler: Compiled 3646 to 2989 computations (18% saved)

bsearch2.0ms (0%)

Compiler: Compiled 9 to 9 computations (0% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	47	84
1	47	84

end0.0ms (0%)

sample1.2s (16.1%)

Algorithm

1×

intervals

Results

336.0ms	7997×	body	128	valid
28.0ms	713×	body	128	invalid
0.0ms	2×	body	1024	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 578 to 451 computations (22% saved)

Details

analyze946.0ms (12.9%)

sample24.0ms (0.3%)

simplify481.0ms (6.6%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite36.0ms (0.5%)

series757.0ms (10.4%)

simplify73.0ms (1%)

prune113.0ms (1.6%)

localize8.0ms (0.1%)

rewrite79.0ms (1.1%)

series800.0ms (10.9%)

simplify97.0ms (1.3%)

prune206.0ms (2.8%)

localize8.0ms (0.1%)

rewrite43.0ms (0.6%)

series784.0ms (10.7%)

simplify100.0ms (1.4%)

prune126.0ms (1.7%)

localize10.0ms (0.1%)

rewrite33.0ms (0.5%)

series706.0ms (9.7%)

simplify83.0ms (1.1%)

prune124.0ms (1.7%)

regimes478.0ms (6.5%)

bsearch2.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.2s (16.1%)

Profiling