Details

analyze817.0ms (8.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4879	216
1	4879	216
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
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

Symmetry

Compiler

Compiled 39 to 27 computations (30.8% saved)

sample36.0ms (0.4%)

Algorithm

1×

intervals

Results

21.0ms	256×	body	128	valid
1.0ms	16×	body	128	invalid
1.0ms	15×	body	128	nan

Compiler

Compiled 77 to 56 computations (27.3% saved)

simplify483.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (477.0ms)

Iter	Nodes	Cost
0	4219	54
1	4219	54

prune5.0ms (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

20.7b

Counts

2 → 1

Compiler

Compiled 72 to 50 computations (30.6% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.4b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
1.4b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
24.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
24.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite127.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

20.7b

Rules

8×	`add-log-exp_binary64_117` `add-sqr-sqrt_binary64_100`
6×	`pow1_binary64_139` `add-cube-cbrt_binary64_113` `sqrt-prod_binary64_94` `*-un-lft-identity_binary64_78`
4×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `flip3--_binary64_82` `sqrt-div_binary64_95` `flip--_binary64_53`
2×	`pow1/2_binary64_158` `sqrt-pow1_binary64_96` `rem-sqrt-square_binary64_91` `diff-log_binary64_170` `sub-neg_binary64_71` `cancel-sign-sub-inv_binary64_44`

Counts

4 → 54

Calls

4 calls:

7.0ms	(-.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)))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 2530 to 1486 computations (41.3% saved)

series660.0ms (6.7%)

Error

4.3b

Counts

4 → 69

Calls

4 calls:

164.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
162.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
136.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
103.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 6157 to 4234 computations (31.2% saved)

simplify68.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4949	1851
1	4949	1851

prune217.0ms (2.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	115	8	123
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	116	8	124

Error

4.2b

Counts

124 → 8

Compiler

Compiled 5043 to 2893 computations (42.6% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b))
0.9b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
1.4b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
24.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite143.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

4.2b

Rules

21×	`add-sqr-sqrt_binary64_100`
14×	`*-un-lft-identity_binary64_78`
9×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
8×	`add-log-exp_binary64_117` `add-cube-cbrt_binary64_113`
6×	`sqrt-prod_binary64_94` `difference-of-squares_binary64_47` `times-frac_binary64_84` `associate-/r*_binary64_22`
5×	`pow1_binary64_139`
4×	`flip3--_binary64_82` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44`
3×	`distribute-lft-out--_binary64_30`
2×	`sqrt-div_binary64_95` `diff-log_binary64_170` `sub-neg_binary64_71` `div-exp_binary64_129` `cbrt-undiv_binary64_112` `associate-/r/_binary64_24`
1×	`pow1/2_binary64_158` `sqrt-pow1_binary64_96` `rem-sqrt-square_binary64_91` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `frac-2neg_binary64_89` `clear-num_binary64_77` `div-inv_binary64_75` `associate-/l*_binary64_23`

Counts

4 → 73

Calls

4 calls:

12.0ms	(/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 2883 to 1575 computations (45.4% saved)

series736.0ms (7.4%)

Error

4.2b

Counts

4 → 65

Calls

4 calls:

226.0ms	(/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b))
166.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
138.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
130.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 4705 to 3197 computations (32.1% saved)

simplify116.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4936	2723
1	4936	2723

prune198.0ms (2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	135	3	138
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	139	7	146

Error

4.2b

Counts

146 → 7

Compiler

Compiled 4546 to 2318 computations (49% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.4b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
1.4b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
24.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
24.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite118.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

4.2b

Rules

8×	`add-log-exp_binary64_117` `add-sqr-sqrt_binary64_100`
6×	`pow1_binary64_139` `add-cube-cbrt_binary64_113` `sqrt-prod_binary64_94` `*-un-lft-identity_binary64_78`
4×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `flip3--_binary64_82` `sqrt-div_binary64_95` `flip--_binary64_53`
2×	`pow1/2_binary64_158` `sqrt-pow1_binary64_96` `rem-sqrt-square_binary64_91` `diff-log_binary64_170` `sub-neg_binary64_71` `cancel-sign-sub-inv_binary64_44`

Counts

4 → 54

Calls

4 calls:

5.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 2854 to 1443 computations (49.4% saved)

series753.0ms (7.6%)

Error

4.2b

Counts

4 → 76

Calls

4 calls:

179.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
167.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
146.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
141.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 7884 to 5079 computations (35.6% saved)

simplify66.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5012	2120

prune243.0ms (2.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	130	7	137

Error

4.2b

Counts

137 → 7

Compiler

Compiled 6102 to 3117 computations (48.9% saved)

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

14.6b	(+.f64 b (.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))))
24.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
24.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
24.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite142.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

4.2b

Rules

10×	`add-sqr-sqrt_binary64_100`
9×	`sqrt-prod_binary64_94`
7×	`pow1_binary64_139` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
6×	`add-log-exp_binary64_117` `sqrt-div_binary64_95`
4×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
3×	`pow1/2_binary64_158` `sqrt-pow1_binary64_96` `flip3--_binary64_82` `flip--_binary64_53` `rem-sqrt-square_binary64_91`
1×	`sum-log_binary64_169` `flip3-+_binary64_81` `flip-+_binary64_52` `+-commutative_binary64_8`

Counts

4 → 56

Calls

4 calls:

4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
3.0ms	(+.f64 b (.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))))

Compiler

Compiled 3535 to 1950 computations (44.8% saved)

series576.0ms (5.8%)

Error

4.2b

Counts

4 → 57

Calls

4 calls:

153.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
132.0ms	(+.f64 b (.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))))
101.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
97.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 6831 to 4441 computations (35% saved)

simplify61.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4952	1810
1	4952	1810

prune228.0ms (2.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	114	6	120

Error

4.2b

Counts

120 → 6

Compiler

Compiled 5531 to 3049 computations (44.9% saved)

regimes1.1s (10.9%)

Accuracy

Total 1.0b remaining (16.2%)

Threshold costs 0b (0%)

Compiler

Compiled 9826 to 6866 computations (30.1% saved)

bsearch7.0ms (0.1%)

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	165	467
1	165	467

Removed

()

end0.0ms (0%)

sample2.9s (29.4%)

Algorithm

1×

intervals

Results

680.0ms	8000×	body	128	valid
57.0ms	697×	body	128	nan
32.0ms	397×	body	128	invalid

Compiler

Compiled 2784 to 1915 computations (31.2% saved)

Details

analyze817.0ms (8.3%)

sample36.0ms (0.4%)

simplify483.0ms (4.9%)

prune5.0ms (0%)

localize21.0ms (0.2%)

rewrite127.0ms (1.3%)

series660.0ms (6.7%)

simplify68.0ms (0.7%)

prune217.0ms (2.2%)

localize23.0ms (0.2%)

rewrite143.0ms (1.4%)

series736.0ms (7.4%)

simplify116.0ms (1.2%)

prune198.0ms (2%)

localize24.0ms (0.2%)

rewrite118.0ms (1.2%)

series753.0ms (7.6%)

simplify66.0ms (0.7%)

prune243.0ms (2.5%)

localize29.0ms (0.3%)

rewrite142.0ms (1.4%)

series576.0ms (5.8%)

simplify61.0ms (0.6%)

prune228.0ms (2.3%)

regimes1.1s (10.9%)

bsearch7.0ms (0.1%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample2.9s (29.4%)

Profiling