Details

analyze646.0ms (6%)

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)

sample37.0ms (0.3%)

Algorithm

1×

intervals

Results

21.0ms	256×	body	128	valid
1.0ms	19×	body	128	nan
1.0ms	11×	body	128	invalid

Compiler

Compiled 77 to 56 computations (27.3% saved)

simplify522.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (404.0ms)

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

20.1b

Counts

2 → 1

Compiler

Compiled 72 to 50 computations (30.6% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.4b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
1.6b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
23.3b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
23.3b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite134.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

20.1b

Rules

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

Counts

4 → 54

Calls

4 calls:

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

Compiler

Compiled 2560 to 1507 computations (41.1% saved)

series786.0ms (7.3%)

Error

7.1b

Counts

4 → 62

Calls

4 calls:

270.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
159.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
148.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
123.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 5763 to 3959 computations (31.3% saved)

simplify81.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4948	1738
1	4948	1738

prune242.0ms (2.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	112	4	116
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	113	4	117

Error

7.0b

Counts

117 → 4

Compiler

Compiled 4522 to 2572 computations (43.1% saved)

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

15.8b	(+.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)))))))
23.3b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
23.3b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
23.3b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite208.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

7.0b

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:

6.0ms	(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)

series699.0ms (6.5%)

Error

7.0b

Counts

4 → 54

Calls

4 calls:

205.0ms	(+.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)))))))
159.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
130.0ms	(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 6571 to 4284 computations (34.8% saved)

simplify70.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5243	1662

prune288.0ms (2.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	110	4	114

Error

7.0b

Counts

114 → 4

Compiler

Compiled 5397 to 2994 computations (44.5% saved)

localize27.0ms (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)
1.4b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
1.6b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
23.3b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite160.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

7.0b

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:

14.0ms	(/.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))))
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)

series747.0ms (7%)

Error

7.0b

Counts

4 → 63

Calls

4 calls:

201.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
192.0ms	(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))) a)
156.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
128.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 4505 to 3135 computations (30.4% saved)

simplify113.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5209	2528

prune228.0ms (2.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	131	4	135
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	133	6	139

Error

7.0b

Counts

139 → 6

Compiler

Compiled 4371 to 2268 computations (48.1% saved)

localize24.0ms (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)))))))
1.4b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
1.6b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
23.3b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite371.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

7.0b

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:

16.0ms	(/.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)))))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 6210 to 3403 computations (45.2% saved)

series754.0ms (7%)

Error

7.0b

Counts

4 → 63

Calls

4 calls:

242.0ms	(/.f64 1 (/.f64 a (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))))
179.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
143.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
120.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))

Compiler

Compiled 4743 to 3375 computations (28.8% saved)

simplify117.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4937	5014
1	4937	5014

prune394.0ms (3.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	197	1	198
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	197	7	204

Error

7.0b

Counts

204 → 7

Compiler

Compiled 7171 to 3806 computations (46.9% saved)

regimes968.0ms (9%)

Accuracy

Total 1.7b remaining (22.7%)

Threshold costs 0b (0%)

Compiler

Compiled 7238 to 5182 computations (28.4% saved)

bsearch5.0ms (0%)

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	186	484
1	186	484

end0.0ms (0%)

sample3.0s (28.2%)

Algorithm

1×

intervals

Results

777.0ms	8000×	body	128	valid
60.0ms	673×	body	128	nan
44.0ms	397×	body	128	invalid

Compiler

Compiled 2148 to 1501 computations (30.1% saved)

Details

analyze646.0ms (6%)

sample37.0ms (0.3%)

simplify522.0ms (4.9%)

prune8.0ms (0.1%)

localize22.0ms (0.2%)

rewrite134.0ms (1.3%)

series786.0ms (7.3%)

simplify81.0ms (0.8%)

prune242.0ms (2.3%)

localize36.0ms (0.3%)

rewrite208.0ms (1.9%)

series699.0ms (6.5%)

simplify70.0ms (0.7%)

prune288.0ms (2.7%)

localize27.0ms (0.2%)

rewrite160.0ms (1.5%)

series747.0ms (7%)

simplify113.0ms (1.1%)

prune228.0ms (2.1%)

localize24.0ms (0.2%)

rewrite371.0ms (3.5%)

series754.0ms (7%)

simplify117.0ms (1.1%)

prune394.0ms (3.7%)

regimes968.0ms (9%)

bsearch5.0ms (0%)

simplify8.0ms (0.1%)

end0.0ms (0%)

sample3.0s (28.2%)

Profiling