Details

analyze759.0ms (6.1%)

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

Compiler

Compiled 39 to 27 computations (30.8% saved)

sample39.0ms (0.3%)

Algorithm

1×

intervals

Results

23.0ms	256×	body	128	valid
2.0ms	30×	body	128	nan
1.0ms	14×	body	128	invalid

Compiler

Compiled 77 to 56 computations (27.3% saved)

simplify366.0ms (3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (360.0ms)

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

19.9b

Counts

2 → 1

Compiler

Compiled 72 to 50 computations (30.6% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.8b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
1.3b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
22.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
22.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite139.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

19.8b

Rules

13×	`add-sqr-sqrt_binary64_100`
11×	`*-un-lft-identity_binary64_78`
8×	`add-log-exp_binary64_117`
7×	`add-cube-cbrt_binary64_113` `sqrt-prod_binary64_94`
6×	`pow1_binary64_139`
4×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `sqrt-div_binary64_95`
3×	`flip3--_binary64_82` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44`
2×	`pow1/2_binary64_158` `sqrt-pow1_binary64_96` `rem-sqrt-square_binary64_91` `difference-of-squares_binary64_47`
1×	`diff-log_binary64_170` `sub-neg_binary64_71` `distribute-lft-out--_binary64_30` `sum-log_binary64_169` `flip3-+_binary64_81` `flip-+_binary64_52` `distribute-lft-out_binary64_29` `+-commutative_binary64_8`

Counts

4 → 59

Calls

4 calls:

8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
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)))

Compiler

Compiled 2821 to 1660 computations (41.2% saved)

series624.0ms (5%)

Error

4.6b

Counts

4 → 62

Calls

4 calls:

149.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
137.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
136.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
122.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 6081 to 4178 computations (31.3% saved)

simplify83.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5041	2031

prune214.0ms (1.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	113	8	121
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	114	8	122

Error

4.6b

Counts

122 → 8

Compiler

Compiled 4948 to 2831 computations (42.8% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

12.5b	(+.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)))))))
22.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
22.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
22.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite148.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

4.6b

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:

7.0ms	(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)

series2.3s (18.7%)

Error

4.6b

Counts

4 → 58

Calls

4 calls:

1.8s	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
157.0ms	(+.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)))))))
136.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
105.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 7089 to 4632 computations (34.7% saved)

simplify57.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5133	1781

prune221.0ms (1.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	114	8	122

Error

4.6b

Counts

122 → 8

Compiler

Compiled 5780 to 3242 computations (43.9% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))) a)
0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.8b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
22.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite142.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

4.6b

Rules

24×	`*-un-lft-identity_binary64_78`
15×	`add-sqr-sqrt_binary64_100`
14×	`add-cube-cbrt_binary64_113`
12×	`times-frac_binary64_84`
8×	`add-log-exp_binary64_117`
6×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
5×	`pow1_binary64_139` `distribute-lft-out_binary64_29`
4×	`associate-/l*_binary64_23`
3×	`sqrt-prod_binary64_94` `associate-/r*_binary64_22`
2×	`flip3--_binary64_82` `sqrt-div_binary64_95` `flip--_binary64_53` `flip3-+_binary64_81` `flip-+_binary64_52` `associate-/l/_binary64_25`
1×	`pow1/2_binary64_158` `sqrt-pow1_binary64_96` `rem-sqrt-square_binary64_91` `sum-log_binary64_169` `+-commutative_binary64_8` `diff-log_binary64_170` `sub-neg_binary64_71` `cancel-sign-sub-inv_binary64_44` `div-exp_binary64_129` `cbrt-undiv_binary64_112` `frac-2neg_binary64_89` `clear-num_binary64_77` `div-inv_binary64_75`

Counts

4 → 72

Calls

4 calls:

8.0ms	(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))) a)
8.0ms	(+.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)))

Compiler

Compiled 2917 to 1612 computations (44.7% saved)

series691.0ms (5.6%)

Error

4.6b

Counts

4 → 66

Calls

4 calls:

198.0ms	(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))) a)
167.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
133.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
121.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 4797 to 3337 computations (30.4% saved)

simplify85.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4971	2630
1	4971	2630

prune188.0ms (1.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	134	4	138
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	137	9	146

Error

4.6b

Counts

146 → 9

Compiler

Compiled 4603 to 2419 computations (47.4% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (/.f64 a (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))))
0.2b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
0.8b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
22.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite284.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

4.6b

Rules

102×	`times-frac_binary64_84`
82×	`*-un-lft-identity_binary64_78`
57×	`add-sqr-sqrt_binary64_100`
56×	`add-cube-cbrt_binary64_113`
18×	`associate-/r*_binary64_22`
15×	`add-exp-log_binary64_116`
13×	`distribute-lft-out_binary64_29`
9×	`add-cbrt-cube_binary64_114` `associate-/r/_binary64_24`
8×	`add-log-exp_binary64_117`
7×	`div-exp_binary64_129`
6×	`pow1_binary64_139`
5×	`flip3-+_binary64_81` `flip-+_binary64_52` `div-inv_binary64_75`
3×	`sqrt-prod_binary64_94` `cbrt-undiv_binary64_112` `associate-/l*_binary64_23`
2×	`flip3--_binary64_82` `sqrt-div_binary64_95` `flip--_binary64_53` `1-exp_binary64_122` `rec-exp_binary64_128`
1×	`pow1/2_binary64_158` `sqrt-pow1_binary64_96` `rem-sqrt-square_binary64_91` `sum-log_binary64_169` `+-commutative_binary64_8` `diff-log_binary64_170` `sub-neg_binary64_71` `cancel-sign-sub-inv_binary64_44` `inv-pow_binary64_163` `pow-flip_binary64_152` `frac-2neg_binary64_89` `clear-num_binary64_77`

Counts

4 → 135

Calls

4 calls:

11.0ms	(/.f64 1 (/.f64 a (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))))
6.0ms	(+.f64 b (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 6210 to 3403 computations (45.2% saved)

series751.0ms (6.1%)

Error

4.6b

Counts

4 → 66

Calls

4 calls:

236.0ms	(/.f64 1 (/.f64 a (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))))
175.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
135.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
120.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 5043 to 3585 computations (28.9% saved)

simplify187.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	4929	5116
1	4929	5116

prune417.0ms (3.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	199	2	201
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	200	10	210

Error

4.6b

Counts

210 → 10

Compiler

Compiled 7290 to 3877 computations (46.8% saved)

regimes1.1s (8.8%)

Accuracy

Total 2.1b remaining (26.8%)

Threshold costs 0b (0%)

Compiler

Compiled 9598 to 6730 computations (29.9% 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 (2.0ms)

Iter	Nodes	Cost
0	155	474
1	155	474

end0.0ms (0%)

sample3.5s (28.1%)

Algorithm

1×

intervals

Results

792.0ms	8000×	body	128	valid
63.0ms	673×	body	128	nan
43.0ms	360×	body	128	invalid

Compiler

Compiled 2731 to 1885 computations (31% saved)

Details

analyze759.0ms (6.1%)

sample39.0ms (0.3%)

simplify366.0ms (3%)

prune5.0ms (0%)

localize21.0ms (0.2%)

rewrite139.0ms (1.1%)

series624.0ms (5%)

simplify83.0ms (0.7%)

prune214.0ms (1.7%)

localize28.0ms (0.2%)

rewrite148.0ms (1.2%)

series2.3s (18.7%)

simplify57.0ms (0.5%)

prune221.0ms (1.8%)

localize21.0ms (0.2%)

rewrite142.0ms (1.1%)

series691.0ms (5.6%)

simplify85.0ms (0.7%)

prune188.0ms (1.5%)

localize23.0ms (0.2%)

rewrite284.0ms (2.3%)

series751.0ms (6.1%)

simplify187.0ms (1.5%)

prune417.0ms (3.4%)

regimes1.1s (8.8%)

bsearch7.0ms (0.1%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample3.5s (28.1%)

Profiling