Details

analyze695.0ms (6.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4937	96
1	4937	96
0	3	3
1	3	3

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
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
25%	68.6%	6.4%	7
31.2%	62.4%	6.4%	8
36.7%	54.6%	8.7%	9
38.2%	48.4%	13.4%	10
42.7%	42.3%	15%	11
47.8%	34.1%	18.1%	12
49.1%	30.3%	20.5%	13
51.9%	25.8%	22.3%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample43.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	37×	body	2048	valid
8.0ms	159×	body	128	valid
6.0ms	21×	body	4096	valid
5.0ms	24×	body	1024	valid
1.0ms	9×	body	512	valid
1.0ms	16×	body	128	nan
1.0ms	6×	body	256	valid
0.0ms	9×	body	128	invalid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify281.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (276.0ms)

Iter	Nodes	Cost
0	1802	24
1	1802	24

prune4.0ms (0%)

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

Error

35.1b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
0.6b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
1.0b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
25.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

rewrite154.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

34.8b

Rules

21×	`add-sqr-sqrt_binary64_5215`
14×	`*-un-lft-identity_binary64_5193`
9×	`add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229`
8×	`add-log-exp_binary64_5232` `add-cube-cbrt_binary64_5228`
6×	`sqrt-prod_binary64_5209` `difference-of-squares_binary64_5162` `times-frac_binary64_5199` `associate-/l*_binary64_5138`
5×	`pow1_binary64_5254`
4×	`flip3--_binary64_5197` `flip--_binary64_5168` `cancel-sign-sub-inv_binary64_5159`
3×	`distribute-lft-out--_binary64_5145`
2×	`sqrt-div_binary64_5210` `diff-log_binary64_5285` `sub-neg_binary64_5186` `div-exp_binary64_5244` `cbrt-undiv_binary64_5227` `associate-/l/_binary64_5140`
1×	`pow1/2_binary64_5273` `sqrt-pow1_binary64_5211` `rem-sqrt-square_binary64_5206` `prod-exp_binary64_5242` `cbrt-unprod_binary64_5226` `frac-2neg_binary64_5204` `div-sub_binary64_5198` `clear-num_binary64_5192` `div-inv_binary64_5190` `associate-/r*_binary64_5137`

Counts

4 → 74

Calls

4 calls:

13.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
8.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

Compiler

Compiled 2100 to 1220 computations (41.9% saved)

series687.0ms (6.2%)

Error

5.9b

Counts

4 → 66

Calls

4 calls:

180.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
158.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
144.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
144.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

Compiler

Compiled 3006 to 2302 computations (23.4% saved)

simplify58.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5221	2901

prune160.0ms (1.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	130	10	140
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	131	10	141

Error

5.8b

Counts

141 → 10

Compiler

Compiled 3017 to 1672 computations (44.6% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 3 (.f64 a c))
0.6b	(-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))
1.0b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
25.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

rewrite99.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

5.8b

Rules

12×	`add-sqr-sqrt_binary64_5215`
10×	`pow1_binary64_5254`
9×	`add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229` `*-un-lft-identity_binary64_5193`
8×	`add-log-exp_binary64_5232`
7×	`add-cube-cbrt_binary64_5228`
4×	`sqrt-prod_binary64_5209` `cancel-sign-sub-inv_binary64_5159`
3×	`flip3--_binary64_5197` `flip--_binary64_5168` `pow-prod-down_binary64_5264` `prod-exp_binary64_5242` `cbrt-unprod_binary64_5226` `associate-l_binary64_5134`
2×	`sqrt-div_binary64_5210` `diff-log_binary64_5285` `sub-neg_binary64_5186` `difference-of-squares_binary64_5162`
1×	`pow1/2_binary64_5273` `sqrt-pow1_binary64_5211` `rem-sqrt-square_binary64_5206` `distribute-lft-out--_binary64_5145` `associate-r_binary64_5133` `*-commutative_binary64_5124`

Counts

4 → 62

Calls

4 calls:

11.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
6.0ms	(.f64 3 (.f64 a c))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))
4.0ms	(-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))

Compiler

Compiled 1583 to 833 computations (47.4% saved)

series552.0ms (5%)

Error

5.8b

Counts

4 → 57

Calls

4 calls:

163.0ms	(-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))
144.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))
139.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
59.0ms	(.f64 3 (.f64 a c))

Compiler

Compiled 2591 to 1960 computations (24.4% saved)

simplify79.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4929	1884
1	4929	1884

prune116.0ms (1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	117	2	119
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	119	10	129

Error

5.8b

Counts

129 → 10

Compiler

Compiled 2429 to 1354 computations (44.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 1/3 a)
0.6b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
1.0b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
25.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

rewrite105.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

5.8b

Rules

19×	`add-sqr-sqrt_binary64_5215`
16×	`*-un-lft-identity_binary64_5193`
14×	`add-cube-cbrt_binary64_5228`
9×	`times-frac_binary64_5199`
8×	`add-log-exp_binary64_5232`
6×	`add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229`
5×	`pow1_binary64_5254`
4×	`sqrt-prod_binary64_5209` `cancel-sign-sub-inv_binary64_5159`
3×	`flip3--_binary64_5197` `flip--_binary64_5168` `associate-/l_binary64_5138` `associate-/r_binary64_5137`
2×	`sqrt-div_binary64_5210` `diff-log_binary64_5285` `sub-neg_binary64_5186` `difference-of-squares_binary64_5162`
1×	`pow1/2_binary64_5273` `sqrt-pow1_binary64_5211` `rem-sqrt-square_binary64_5206` `distribute-lft-out--_binary64_5145` `div-exp_binary64_5244` `cbrt-undiv_binary64_5227` `frac-2neg_binary64_5204` `clear-num_binary64_5192` `div-inv_binary64_5190`

Counts

4 → 71

Calls

4 calls:

8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
3.0ms	(/.f64 1/3 a)

Compiler

Compiled 1789 to 1054 computations (41.1% saved)

series499.0ms (4.5%)

Error

5.8b

Counts

4 → 54

Calls

4 calls:

166.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
144.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
129.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
16.0ms	(/.f64 1/3 a)

Compiler

Compiled 2447 to 1861 computations (23.9% saved)

simplify61.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4965	1949
1	4965	1949

prune122.0ms (1.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	123	2	125
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	124	11	135

Error

5.8b

Counts

135 → 11

Compiler

Compiled 2577 to 1475 computations (42.8% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.7b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))
4.6b	(.f64 (/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))))) (/.f64 1/3 a))
10.0b	(/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))))
25.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

rewrite228.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

5.8b

Rules

45×	`add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229`
24×	`*-un-lft-identity_binary64_5193`
22×	`add-sqr-sqrt_binary64_5215`
18×	`times-frac_binary64_5199`
17×	`prod-exp_binary64_5242` `cbrt-unprod_binary64_5226`
16×	`add-cube-cbrt_binary64_5228`
13×	`div-exp_binary64_5244` `cbrt-undiv_binary64_5227` `associate-r_binary64_5133`
10×	`associate-l_binary64_5134`
7×	`pow1_binary64_5254`
6×	`add-log-exp_binary64_5232`
4×	`distribute-lft-out_binary64_5144` `associate-/r/_binary64_5139` `associate-/r*_binary64_5137`
3×	`sqrt-prod_binary64_5209` `div-inv_binary64_5190` `flip3-+_binary64_5196` `flip-+_binary64_5167`
2×	`sqrt-div_binary64_5210` `unswap-sqr_binary64_5161`
1×	`pow1/2_binary64_5273` `sqrt-pow1_binary64_5211` `flip3--_binary64_5197` `flip--_binary64_5168` `rem-sqrt-square_binary64_5206` `frac-2neg_binary64_5204` `clear-num_binary64_5192` `associate-/l_binary64_5138` `pow-prod-down_binary64_5264` `frac-times_binary64_5203` `associate-l/_binary64_5136` `associate-r/_binary64_5135` `-commutative_binary64_5124` `sum-log_binary64_5284` `+-commutative_binary64_5123`

Counts

4 → 107

Calls

4 calls:

18.0ms	(.f64 (/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))))) (/.f64 1/3 a))
16.0ms	(/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))))
6.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

Compiler

Compiled 3971 to 2200 computations (44.6% saved)

series892.0ms (8.1%)

Error

5.8b

Counts

4 → 69

Calls

4 calls:

271.0ms	(/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))))
216.0ms	(.f64 (/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))))) (/.f64 1/3 a))
170.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))
167.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

Compiler

Compiled 4340 to 3134 computations (27.8% saved)

simplify117.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4932	4649
1	4932	4649

prune198.0ms (1.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	174	2	176
Fresh	1	7	8
Picked	1	0	1
Done	0	2	2
Total	176	11	187

Error

5.7b

Counts

187 → 11

Compiler

Compiled 4600 to 2476 computations (46.2% saved)

regimes2.7s (24.7%)

Accuracy

Total 4.3b remaining (44.5%)

Threshold costs 0b (0%)

Compiler

Compiled 12272 to 9328 computations (24% saved)

bsearch58.0ms (0.5%)

Steps

Iters	Range		Point
8	1.8240711922105305e-90	5.485167958127272e-87	2.358404705346974e-87
6	-9.480621689060682e+125	-1.5228551434246588e+125	-9.343079346069277e+125

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	93	55
1	93	55

end0.0ms (0%)

sample3.1s (27.9%)

Algorithm

1×

intervals

Results

289.0ms	5257×	body	128	valid
279.0ms	1122×	body	2048	valid
141.0ms	716×	body	1024	valid
129.0ms	400×	body	4096	valid
48.0ms	326×	body	512	valid
31.0ms	649×	body	128	nan
21.0ms	406×	body	128	invalid
17.0ms	179×	body	256	valid

Compiler

Compiled 2337 to 1778 computations (23.9% saved)

Details

analyze695.0ms (6.3%)

sample43.0ms (0.4%)

simplify281.0ms (2.5%)

prune4.0ms (0%)

localize10.0ms (0.1%)

rewrite154.0ms (1.4%)

series687.0ms (6.2%)

simplify58.0ms (0.5%)

prune160.0ms (1.4%)

localize11.0ms (0.1%)

rewrite99.0ms (0.9%)

series552.0ms (5%)

simplify79.0ms (0.7%)

prune116.0ms (1%)

localize11.0ms (0.1%)

rewrite105.0ms (0.9%)

series499.0ms (4.5%)

simplify61.0ms (0.5%)

prune122.0ms (1.1%)

localize15.0ms (0.1%)

rewrite228.0ms (2.1%)

series892.0ms (8.1%)

simplify117.0ms (1.1%)

prune198.0ms (1.8%)

regimes2.7s (24.7%)

bsearch58.0ms (0.5%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.1s (27.9%)

Profiling