Details

analyze561.0ms (8.1%)

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)

sample58.0ms (0.8%)

Algorithm

1×

intervals

Results

20.0ms	54×	body	1024	valid
9.0ms	154×	body	128	valid
6.0ms	27×	body	512	valid
3.0ms	10×	body	1024	invalid
3.0ms	4×	body	2048	valid
3.0ms	13×	body	512	invalid
2.0ms	17×	body	256	valid
1.0ms	9×	body	256	invalid
0.0ms	10×	body	128	nan
0.0ms	3×	body	128	invalid

Compiler

Compiled 23 to 19 computations (17.4% saved)

simplify244.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4943	13
1	4943	13

prune5.0ms (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: 11.9b

Counts

2 → 1

Compiler

Compiled 38 to 26 computations (31.6% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 x (+.f64 x y))
5.6b	(pow.f64 (/.f64 x (+.f64 x y)) x)

rewrite19.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64_11775`
24×	`times-frac_binary64_11781`
20×	`add-cube-cbrt_binary64_11810` `add-sqr-sqrt_binary64_11797`
18×	`unpow-prod-down_binary64_11854`
7×	`add-exp-log_binary64_11813` `distribute-lft-out_binary64_11726`
4×	`associate-/r/_binary64_11721` `add-cbrt-cube_binary64_11811` `associate-/r*_binary64_11719`
3×	`pow-unpow_binary64_11852` `pow1_binary64_11836` `associate-/l*_binary64_11720`
2×	`flip3-+_binary64_11778` `flip-+_binary64_11749` `div-inv_binary64_11772` `div-exp_binary64_11826` `add-log-exp_binary64_11814` `pow-exp_binary64_11843`
1×	`clear-num_binary64_11774` `pow-to-exp_binary64_11844` `pow-pow_binary64_11847` `cbrt-undiv_binary64_11809` `frac-2neg_binary64_11786` `sqr-pow_binary64_11747`

Counts

2 → 66

Calls

2 calls:

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

series429.0ms (6.2%)

Counts

2 → 6

Calls

2 calls:

375.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)
53.0ms	(/.f64 x (+.f64 x y))

simplify64.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5059	1128

prune217.0ms (3.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	67	5	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	5	73

Merged error: 0.5b

Counts

73 → 5

Compiler

Compiled 3998 to 1680 computations (58% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 x y))
0.6b	(cbrt.f64 (+.f64 x y))
0.8b	(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) x)
2.5b	(pow.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) x)

rewrite58.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`unpow-prod-down_binary64_11854`
53×	`cbrt-prod_binary64_11806`
52×	`*-un-lft-identity_binary64_11775`
43×	`times-frac_binary64_11781`
36×	`add-cube-cbrt_binary64_11810` `add-sqr-sqrt_binary64_11797`
20×	`add-exp-log_binary64_11813`
18×	`cbrt-div_binary64_11807`
10×	`associate-/r/_binary64_11721`
9×	`flip3-+_binary64_11778` `flip-+_binary64_11749`
8×	`distribute-lft-out_binary64_11726`
7×	`pow-exp_binary64_11843`
6×	`pow-unpow_binary64_11852` `pow1_binary64_11836`
5×	`div-exp_binary64_11826`
4×	`prod-exp_binary64_11824` `frac-times_binary64_11785` `add-cbrt-cube_binary64_11811` `add-log-exp_binary64_11814`
2×	`associate-l/_binary64_11718` `pow-to-exp_binary64_11844` `pow1/3_binary64_11857` `pow-pow_binary64_11847` `associate-r/_binary64_11717` `div-inv_binary64_11772` `sqr-pow_binary64_11747`

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 (19.6%)

Counts

4 → 12

Calls

4 calls:

486.0ms	(pow.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) x)
444.0ms	(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) x)
219.0ms	(cbrt.f64 (+.f64 x y))
208.0ms	(cbrt.f64 (+.f64 x y))

simplify94.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4904	3400
1	4904	3400

prune170.0ms (2.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	133	1	134
Fresh	3	1	4
Picked	1	0	1
Done	0	0	0
Total	137	2	139

Merged error: 0.0b

Counts

139 → 2

Compiler

Compiled 5336 to 1092 computations (79.5% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 x y))
0.6b	(cbrt.f64 (+.f64 x y))
0.8b	(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) x)
4.6b	(log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))))

rewrite51.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

98×	`cbrt-prod_binary64_11806`
89×	`*-un-lft-identity_binary64_11775`
84×	`times-frac_binary64_11781`
61×	`add-cube-cbrt_binary64_11810` `add-sqr-sqrt_binary64_11797`
48×	`unpow-prod-down_binary64_11854` `log-prod_binary64_11861`
14×	`distribute-lft-out_binary64_11726`
10×	`add-exp-log_binary64_11813`
8×	`cbrt-div_binary64_11807`
6×	`pow1_binary64_11836`
4×	`flip3-+_binary64_11778` `flip-+_binary64_11749` `associate-/r/_binary64_11721` `add-cbrt-cube_binary64_11811` `add-log-exp_binary64_11814`
3×	`pow-unpow_binary64_11852`
2×	`rem-log-exp_binary64_11816` `pow1/3_binary64_11857` `div-inv_binary64_11772` `div-exp_binary64_11826` `pow-exp_binary64_11843`
1×	`pow-to-exp_binary64_11844` `pow-pow_binary64_11847` `log-pow_binary64_11864` `sqr-pow_binary64_11747` `log-div_binary64_11862`

Counts

4 → 150

Calls

4 calls:

13.0ms	(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) x)
9.0ms	(log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))))
3.0ms	(cbrt.f64 (+.f64 x y))
3.0ms	(cbrt.f64 (+.f64 x y))

series1.0s (14.9%)

Counts

4 → 12

Calls

4 calls:

443.0ms	(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) x)
222.0ms	(cbrt.f64 (+.f64 x y))
222.0ms	(cbrt.f64 (+.f64 x y))
142.0ms	(log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))))

simplify97.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4909	3998
1	4909	3998

prune192.0ms (2.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	162	2	164

Merged error: 0.0b

Counts

164 → 2

Compiler

Compiled 5583 to 1652 computations (70.4% 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_11810` `*-un-lft-identity_binary64_11775` `add-sqr-sqrt_binary64_11797` `times-frac_binary64_11781`
3×	`add-cbrt-cube_binary64_11811` `associate-/r_binary64_11719` `associate-/l_binary64_11720`
2×	`associate-/l/_binary64_11722` `add-exp-log_binary64_11813`
1×	`clear-num_binary64_11774` `neg-sub0_binary64_11770` `pow1_binary64_11836` `exp-diff_binary64_11823` `exp-neg_binary64_11822` `div-inv_binary64_11772` `div-exp_binary64_11826` `add-log-exp_binary64_11814` `cbrt-undiv_binary64_11809` `frac-2neg_binary64_11786`

Counts

1 → 29

Calls

1 calls:

6.0ms

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

series44.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

44.0ms

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

simplify136.0ms (2%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (126.0ms)

Iter	Nodes	Cost
0	5287	435

prune37.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	31	3	34

Merged error: 0b

Counts

34 → 3

Compiler

Compiled 525 to 227 computations (56.8% saved)

regimes39.0ms (0.6%)

Compiler: Compiled 80 to 62 computations (22.5% saved)

bsearch59.0ms (0.9%)

Steps

Iters	Range		Point
5	6.977896291431267e-09	2.45218032870609e-08	2.4109107341607288e-08
9	-6372.385543253148	-0.009324044925673233	-2097.5033405434674

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	72
1	41	72

end0.0ms (0%)

sample1.9s (27.4%)

Algorithm

1×

intervals

Results

651.0ms	1683×	body	1024	valid
280.0ms	4635×	body	128	valid
226.0ms	988×	body	512	valid
130.0ms	180×	body	2048	valid
72.0ms	514×	body	256	valid
63.0ms	179×	body	1024	invalid
49.0ms	226×	body	512	invalid
21.0ms	158×	body	256	invalid
13.0ms	211×	body	128	invalid
8.0ms	189×	body	128	nan

Compiler

Compiled 140 to 91 computations (35% saved)

Details

analyze561.0ms (8.1%)

sample58.0ms (0.8%)

simplify244.0ms (3.5%)

prune5.0ms (0.1%)

localize6.0ms (0.1%)

rewrite19.0ms (0.3%)

series429.0ms (6.2%)

simplify64.0ms (0.9%)

prune217.0ms (3.1%)

localize16.0ms (0.2%)

rewrite58.0ms (0.8%)

series1.4s (19.6%)

simplify94.0ms (1.4%)

prune170.0ms (2.5%)

localize18.0ms (0.3%)

rewrite51.0ms (0.7%)

series1.0s (14.9%)

simplify97.0ms (1.4%)

prune192.0ms (2.8%)

localize4.0ms (0.1%)

rewrite8.0ms (0.1%)

series44.0ms (0.6%)

simplify136.0ms (2%)

prune37.0ms (0.5%)

regimes39.0ms (0.6%)

bsearch59.0ms (0.9%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.9s (27.4%)

Profiling