Details

analyze572.0ms (9.5%)

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
3.1%	90.5%	6.3%	6
4.7%	85.9%	9.5%	7
21.1%	64%	14.9%	8
23.4%	58.9%	17.7%	9
27.7%	51.3%	21%	10
28.9%	48.5%	22.6%	11
31.1%	44.4%	24.5%	12
31.7%	42.9%	25.4%	13
32.7%	41%	26.3%	14

Compiler

Compiled 12 to 9 computations (25% saved)

sample52.0ms (0.9%)

Algorithm

1×

intervals

Results

14.0ms	36×	body	1024	valid
10.0ms	168×	body	128	valid
5.0ms	20×	body	512	valid
4.0ms	28×	body	256	valid
4.0ms	10×	body	1024	invalid
3.0ms	4×	body	2048	valid
2.0ms	9×	body	512	invalid
1.0ms	8×	body	128	invalid
1.0ms	4×	body	256	invalid
0.0ms	3×	body	128	nan

Compiler

Compiled 23 to 19 computations (17.4% saved)

simplify245.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4915	13
1	4915	13

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 12.3b

Counts

2 → 1

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
0.0b	(/.f64 x (+.f64 x y))
5.8b	(pow.f64 (/.f64 x (+.f64 x y)) x)

rewrite50.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

138×	`times-frac_binary64_11204`
118×	`*-un-lft-identity_binary64_11198`
90×	`unpow-prod-down_binary64_11274`
80×	`add-cube-cbrt_binary64_11230` `add-sqr-sqrt_binary64_11219`
25×	`associate-/l*_binary64_11145`
19×	`distribute-lft-out_binary64_11151`
16×	`add-exp-log_binary64_11233`
12×	`associate-/r/_binary64_11146`
7×	`add-cbrt-cube_binary64_11231` `associate-/r*_binary64_11144` `div-inv_binary64_11195` `div-exp_binary64_11246`
6×	`flip3-+_binary64_11201` `flip-+_binary64_11172`
5×	`sqr-pow_binary64_11170`
4×	`pow1_binary64_11256` `pow-exp_binary64_11263`
3×	`pow-unpow_binary64_11272` `add-log-exp_binary64_11234`
2×	`pow-to-exp_binary64_11264` `frac-2neg_binary64_11209` `clear-num_binary64_11197` `cbrt-undiv_binary64_11229`
1×	`pow-pow_binary64_11267`

Counts

3 → 172

Calls

3 calls:

13.0ms	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
8.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)
6.0ms	(/.f64 x (+.f64 x y))

series698.0ms (11.6%)

Counts

3 → 9

Calls

3 calls:

375.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)
270.0ms	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
52.0ms	(/.f64 x (+.f64 x y))

simplify112.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4972	4031
1	4972	4031

prune145.0ms (2.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	177	4	181
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	178	4	182

Merged error: 0.0b

Counts

182 → 4

Compiler

Compiled 3431 to 687 computations (80% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 x y))
0.6b	(cbrt.f64 (+.f64 x y))
1.2b	(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) x)
1.9b	(pow.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) x)

rewrite55.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`unpow-prod-down_binary64_11274`
53×	`cbrt-prod_binary64_11226`
52×	`*-un-lft-identity_binary64_11198`
43×	`times-frac_binary64_11204`
36×	`add-cube-cbrt_binary64_11230` `add-sqr-sqrt_binary64_11219`
20×	`add-exp-log_binary64_11233`
18×	`cbrt-div_binary64_11227`
10×	`associate-/r/_binary64_11146`
9×	`flip3-+_binary64_11201` `flip-+_binary64_11172`
8×	`distribute-lft-out_binary64_11151`
7×	`pow-exp_binary64_11263`
6×	`pow-unpow_binary64_11272` `pow1_binary64_11256`
5×	`div-exp_binary64_11246`
4×	`add-log-exp_binary64_11234` `add-cbrt-cube_binary64_11231` `prod-exp_binary64_11244` `frac-times_binary64_11208`
2×	`sqr-pow_binary64_11170` `pow-to-exp_binary64_11264` `associate-l/_binary64_11143` `div-inv_binary64_11195` `pow1/3_binary64_11277` `associate-r/_binary64_11142` `pow-pow_binary64_11267`

Counts

4 → 122

Calls

4 calls:

18.0ms	(pow.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) x)
13.0ms	(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) x)
3.0ms	(cbrt.f64 (+.f64 x y))
3.0ms	(cbrt.f64 (+.f64 x y))

series1.4s (23.3%)

Counts

4 → 12

Calls

4 calls:

500.0ms	(pow.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) x)
465.0ms	(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) x)
221.0ms	(cbrt.f64 (+.f64 x y))
212.0ms	(cbrt.f64 (+.f64 x y))

simplify111.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4886	3400
1	4886	3400

prune156.0ms (2.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	134	4	138

Merged error: 0.0b

Counts

138 → 4

Compiler

Compiled 5021 to 940 computations (81.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (exp.f64 (neg.f64 y)) x)

rewrite8.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-cube-cbrt_binary64_11230` `add-sqr-sqrt_binary64_11219` `times-frac_binary64_11204` `*-un-lft-identity_binary64_11198`
3×	`add-cbrt-cube_binary64_11231` `associate-/l_binary64_11145` `associate-/r_binary64_11144`
2×	`add-exp-log_binary64_11233` `associate-/l/_binary64_11147`
1×	`neg-sub0_binary64_11193` `add-log-exp_binary64_11234` `div-inv_binary64_11195` `frac-2neg_binary64_11209` `pow1_binary64_11256` `clear-num_binary64_11197` `div-exp_binary64_11246` `exp-diff_binary64_11243` `exp-neg_binary64_11242` `cbrt-undiv_binary64_11229`

Counts

1 → 29

Calls

1 calls:

6.0ms

(/.f64 (exp.f64 (neg.f64 y)) x)

series46.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

45.0ms

(/.f64 (exp.f64 (neg.f64 y)) x)

simplify90.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5088	428

prune26.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	31	5	36

Merged error: 0b

Counts

36 → 5

Compiler

Compiled 399 to 140 computations (64.9% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (exp.f64 (neg.f64 y)) (/.f64 1 x))

rewrite15.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_11219`
13×	`associate-r_binary64_11140`
11×	`times-frac_binary64_11204`
10×	`*-un-lft-identity_binary64_11198`
9×	`add-cube-cbrt_binary64_11230`
6×	`add-exp-log_binary64_11233` `add-cbrt-cube_binary64_11231`
4×	`prod-exp_binary64_11244`
3×	`pow1_binary64_11256` `associate-l_binary64_11141` `unswap-sqr_binary64_11166`
2×	`neg-sub0_binary64_11193` `associate-*l/_binary64_11143` `frac-times_binary64_11208` `div-exp_binary64_11246` `exp-diff_binary64_11243` `cbrt-unprod_binary64_11228` `exp-neg_binary64_11242`
1×	`add-log-exp_binary64_11234` `div-inv_binary64_11195` `pow-prod-down_binary64_11266` `un-div-inv_binary64_11196` `1-exp_binary64_11239` `associate-r/_binary64_11142` `rec-exp_binary64_11245` `-commutative_binary64_11131` `cbrt-undiv_binary64_11229`

Counts

1 → 40

Calls

1 calls:

12.0ms

(*.f64 (exp.f64 (neg.f64 y)) (/.f64 1 x))

series44.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

44.0ms

(*.f64 (exp.f64 (neg.f64 y)) (/.f64 1 x))

simplify63.0ms (1%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4892	468
1	4892	468

prune28.0ms (0.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	43	5	48

Merged error: 0b

Counts

48 → 5

Compiler

Compiled 428 to 164 computations (61.7% saved)

regimes54.0ms (0.9%)

Compiler: Compiled 196 to 104 computations (46.9% saved)

bsearch62.0ms (1%)

Steps

Iters	Range		Point
6	0.4757555010512412	4.268227233503205	3.689171222415078
7	-2.3648285512061493e+38	-2.929828411055891e+36	-3.386905227647137e+36

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	71
1	39	71

end0.0ms (0%)

sample1.9s (32.1%)

Algorithm

1×

intervals

Results

641.0ms	1670×	body	1024	valid
277.0ms	4599×	body	128	valid
241.0ms	1024×	body	512	valid
131.0ms	184×	body	2048	valid
78.0ms	523×	body	256	valid
67.0ms	187×	body	1024	invalid
51.0ms	234×	body	512	invalid
25.0ms	169×	body	256	invalid
15.0ms	229×	body	128	invalid
6.0ms	152×	body	128	nan

Compiler

Compiled 197 to 109 computations (44.7% saved)

Details

analyze572.0ms (9.5%)

sample52.0ms (0.9%)

simplify245.0ms (4.1%)

prune3.0ms (0.1%)

localize6.0ms (0.1%)

rewrite50.0ms (0.8%)

series698.0ms (11.6%)

simplify112.0ms (1.9%)

prune145.0ms (2.4%)

localize19.0ms (0.3%)

rewrite55.0ms (0.9%)

series1.4s (23.3%)

simplify111.0ms (1.9%)

prune156.0ms (2.6%)

localize4.0ms (0.1%)

rewrite8.0ms (0.1%)

series46.0ms (0.8%)

simplify90.0ms (1.5%)

prune26.0ms (0.4%)

localize6.0ms (0.1%)

rewrite15.0ms (0.3%)

series44.0ms (0.7%)

simplify63.0ms (1%)

prune28.0ms (0.5%)

regimes54.0ms (0.9%)

bsearch62.0ms (1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.9s (32.1%)

Profiling