Details

analyze488.0ms (6.5%)

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
18.7%	81.1%	0.1%	6
26.5%	67.1%	6.4%	7
35.1%	58.5%	6.4%	8
41.3%	49.9%	8.7%	9
46.4%	40.2%	13.4%	10
50.8%	34.2%	15%	11
55.2%	26.7%	18.1%	12
57.4%	22%	20.6%	13
59.8%	17.9%	22.3%	14

Compiler

Compiled 39 to 27 computations (30.8% saved)

sample39.0ms (0.5%)

Algorithm

1×

intervals

Results

21.0ms	256×	body	128	valid
1.0ms	16×	body	128	nan
1.0ms	8×	body	128	invalid

Compiler

Compiled 77 to 56 computations (27.3% saved)

simplify452.0ms (6.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (362.0ms)

Iter	Nodes	Cost
0	4219	54
1	4219	54

prune8.0ms (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

Error

20.0b

Counts

2 → 1

Compiler

Compiled 72 to 50 computations (30.6% saved)

localize21.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.4b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.4b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.1b	(/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b))
0.1b	(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))) a)
0.4b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
1.2b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
23.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
23.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite28.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_93`
11×	`*-un-lft-identity_binary64_71`
8×	`add-log-exp_binary64_110`
7×	`sqrt-prod_binary64_87` `add-cube-cbrt_binary64_106`
6×	`pow1_binary64_132`
4×	`sqrt-div_binary64_88` `add-cbrt-cube_binary64_107` `add-exp-log_binary64_109`
3×	`flip--_binary64_46` `flip3--_binary64_75` `cancel-sign-sub-inv_binary64_37`
2×	`difference-of-squares_binary64_40` `sqrt-pow1_binary64_89` `rem-sqrt-square_binary64_84` `pow1/2_binary64_151`
1×	`+-commutative_binary64_1` `distribute-lft-out_binary64_22` `distribute-lft-out--_binary64_23` `flip-+_binary64_45` `diff-log_binary64_163` `sum-log_binary64_162` `flip3-+_binary64_74` `sub-neg_binary64_64`

Counts

4 → 59

Calls

8 calls:

8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
7.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
6.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
0.0ms	(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))) a)

series485.0ms (6.5%)

Counts

4 → 56

Calls

4 calls:

128.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
126.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
124.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
107.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3568 to 2648 computations (25.8% saved)

simplify84.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4993	1912
1	4993	1912

prune255.0ms (3.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	110	5	115
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	111	5	116

Error

5.9b

Counts

116 → 5

Compiler

Compiled 4592 to 2700 computations (41.2% saved)

localize24.0ms (0.3%)

Local error

Found 8 expressions with local error:

23.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
1.2b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
0.4b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.1b	(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))) a)
0.1b	(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))) a)
0.4b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
1.2b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
23.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite26.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`*-un-lft-identity_binary64_71`
15×	`add-sqr-sqrt_binary64_93`
14×	`add-cube-cbrt_binary64_106`
12×	`times-frac_binary64_77`
8×	`add-log-exp_binary64_110`
6×	`add-cbrt-cube_binary64_107` `add-exp-log_binary64_109`
5×	`distribute-lft-out_binary64_22` `pow1_binary64_132`
4×	`associate-/l*_binary64_16`
3×	`associate-/r*_binary64_15` `sqrt-prod_binary64_87`
2×	`sqrt-div_binary64_88` `flip--_binary64_46` `associate-/l/_binary64_18` `flip3--_binary64_75` `flip-+_binary64_45` `flip3-+_binary64_74`
1×	`+-commutative_binary64_1` `div-exp_binary64_122` `clear-num_binary64_70` `div-inv_binary64_68` `cbrt-undiv_binary64_105` `sqrt-pow1_binary64_89` `rem-sqrt-square_binary64_84` `cancel-sign-sub-inv_binary64_37` `frac-2neg_binary64_82` `diff-log_binary64_163` `sum-log_binary64_162` `pow1/2_binary64_151` `sub-neg_binary64_64`

Counts

4 → 72

Calls

8 calls:

8.0ms	(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))) a)
6.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
0.0ms	(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))) a)

series537.0ms (7.2%)

Counts

4 → 60

Calls

4 calls:

158.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
153.0ms	(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))) a)
121.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
105.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 2799 to 2186 computations (21.9% saved)

simplify64.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5024	2444

prune222.0ms (3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	128	4	132
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	130	7	137

Error

5.8b

Counts

137 → 7

Compiler

Compiled 4359 to 2380 computations (45.4% saved)

localize22.0ms (0.3%)

Local error

Found 8 expressions with local error:

1.2b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
0.4b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.2b	(/.f64 1 (/.f64 a (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
0.1b	(/.f64 a (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))))
0.2b	(/.f64 1 (/.f64 a (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
0.4b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
1.2b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
23.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite36.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

102×	`times-frac_binary64_77`
82×	`*-un-lft-identity_binary64_71`
57×	`add-sqr-sqrt_binary64_93`
56×	`add-cube-cbrt_binary64_106`
18×	`associate-/r*_binary64_15`
15×	`add-exp-log_binary64_109`
13×	`distribute-lft-out_binary64_22`
9×	`add-cbrt-cube_binary64_107` `associate-/r/_binary64_17`
8×	`add-log-exp_binary64_110`
7×	`div-exp_binary64_122`
6×	`pow1_binary64_132`
5×	`div-inv_binary64_68` `flip-+_binary64_45` `flip3-+_binary64_74`
3×	`associate-/l*_binary64_16` `cbrt-undiv_binary64_105` `sqrt-prod_binary64_87`
2×	`sqrt-div_binary64_88` `flip--_binary64_46` `rec-exp_binary64_121` `flip3--_binary64_75` `1-exp_binary64_115`
1×	`+-commutative_binary64_1` `inv-pow_binary64_156` `clear-num_binary64_70` `sqrt-pow1_binary64_89` `rem-sqrt-square_binary64_84` `cancel-sign-sub-inv_binary64_37` `frac-2neg_binary64_82` `diff-log_binary64_163` `sum-log_binary64_162` `pow1/2_binary64_151` `pow-flip_binary64_145` `sub-neg_binary64_64`

Counts

4 → 135

Calls

8 calls:

11.0ms	(/.f64 1 (/.f64 a (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
6.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
0.0ms	(/.f64 a (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))))

series527.0ms (7.1%)

Counts

4 → 60

Calls

4 calls:

157.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
152.0ms	(/.f64 1 (/.f64 a (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
115.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
102.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 2945 to 2332 computations (20.8% saved)

simplify102.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4952	4930
1	4952	4930

prune334.0ms (4.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	194	1	195
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	194	8	202

Error

5.8b

Counts

202 → 8

Compiler

Compiled 7318 to 4156 computations (43.2% saved)

localize27.0ms (0.4%)

Local error

Found 8 expressions with local error:

0.2b	(.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))) a))
0.2b	(/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))) a)
0.1b	(sqrt.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))))
0.1b	(sqrt.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))))
1.2b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
1.2b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
23.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
23.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite23.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64_71`
8×	`add-log-exp_binary64_110` `add-sqr-sqrt_binary64_93`
6×	`sqrt-prod_binary64_87` `add-cube-cbrt_binary64_106` `pow1_binary64_132`
4×	`sqrt-div_binary64_88` `add-cbrt-cube_binary64_107` `add-exp-log_binary64_109`
2×	`flip--_binary64_46` `+-commutative_binary64_1` `distribute-lft-out_binary64_22` `flip3--_binary64_75` `sqrt-pow1_binary64_89` `flip-+_binary64_45` `rem-sqrt-square_binary64_84` `sum-log_binary64_162` `flip3-+_binary64_74` `pow1/2_binary64_151`

Counts

4 → 54

Calls

8 calls:

6.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
6.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
0.0ms	(sqrt.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))))

series493.0ms (6.6%)

Counts

4 → 56

Calls

4 calls:

130.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
129.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
118.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
115.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 4196 to 3098 computations (26.2% saved)

simplify55.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5510	1690

prune193.0ms (2.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	110	8	118

Error

5.8b

Counts

118 → 8

Compiler

Compiled 4878 to 2702 computations (44.6% saved)

regimes706.0ms (9.4%)

Accuracy

Total 1.4b remaining (19.1%)

Threshold costs 0b (0%)

Compiler

Compiled 6458 to 4618 computations (28.5% saved)

bsearch5.0ms (0.1%)

Compiler: Compiled 38 to 26 computations (31.6% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	141	452
1	141	452

end0.0ms (0%)

sample2.2s (29.6%)

Algorithm

1×

intervals

Results

671.0ms	8000×	body	128	valid
52.0ms	625×	body	128	nan
30.0ms	374×	body	128	invalid

Compiler

Compiled 1932 to 1344 computations (30.4% saved)

Pareto

Details

analyze488.0ms (6.5%)

sample39.0ms (0.5%)

simplify452.0ms (6.1%)

prune8.0ms (0.1%)

localize21.0ms (0.3%)

rewrite28.0ms (0.4%)

series485.0ms (6.5%)

simplify84.0ms (1.1%)

prune255.0ms (3.4%)

localize24.0ms (0.3%)

rewrite26.0ms (0.4%)

series537.0ms (7.2%)

simplify64.0ms (0.9%)

prune222.0ms (3%)

localize22.0ms (0.3%)

rewrite36.0ms (0.5%)

series527.0ms (7.1%)

simplify102.0ms (1.4%)

prune334.0ms (4.5%)

localize27.0ms (0.4%)

rewrite23.0ms (0.3%)

series493.0ms (6.6%)

simplify55.0ms (0.7%)

prune193.0ms (2.6%)

regimes706.0ms (9.4%)

bsearch5.0ms (0.1%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample2.2s (29.6%)

Profiling