Details

analyze768.0ms (7.9%)

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)

sample38.0ms (0.4%)

Algorithm

1×

intervals

Results

22.0ms	256×	body	128	valid
2.0ms	20×	body	128	nan
1.0ms	15×	body	128	invalid

Compiler

Compiled 77 to 56 computations (27.3% saved)

simplify376.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (371.0ms)

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

19.5b

Counts

2 → 1

Compiler

Compiled 72 to 50 computations (30.6% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
1.0b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
21.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
21.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite131.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

19.4b

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:

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

Compiler

Compiled 2560 to 1507 computations (41.1% saved)

series621.0ms (6.4%)

Error

6.2b

Counts

4 → 65

Calls

4 calls:

175.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
132.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
120.0ms	(+.f64 b (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 5952 to 4082 computations (31.4% saved)

simplify64.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5380	1885

prune217.0ms (2.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	109	10	119
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	110	10	120

Error

6.2b

Counts

120 → 10

Compiler

Compiled 5011 to 2870 computations (42.7% saved)

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

11.5b	(+.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)))))))
21.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
21.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
21.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite144.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

6.2b

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:

5.0ms	(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)

series553.0ms (5.7%)

Error

6.2b

Counts

4 → 57

Calls

4 calls:

142.0ms	(+.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)))))))
135.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
99.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
91.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 6799 to 4425 computations (34.9% saved)

simplify52.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5630	1785

prune244.0ms (2.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	113	10	123

Error

6.2b

Counts

123 → 10

Compiler

Compiled 5909 to 3325 computations (43.7% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

8.8b	(+.f64 b (.f64 (fabs.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))))
21.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
22.4b	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
22.4b	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite137.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

6.2b

Rules

8×	`add-sqr-sqrt_binary64_100`
7×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
6×	`add-log-exp_binary64_117` `cbrt-prod_binary64_109`
5×	`pow1_binary64_139`
4×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `cbrt-div_binary64_110`
3×	`flip3--_binary64_82` `flip--_binary64_53` `sqrt-prod_binary64_94`
2×	`pow1/3_binary64_160` `sqrt-div_binary64_95`
1×	`pow1/2_binary64_158` `sqrt-pow1_binary64_96` `rem-sqrt-square_binary64_91` `sum-log_binary64_169` `flip3-+_binary64_81` `flip-+_binary64_52` `+-commutative_binary64_8`

Counts

4 → 52

Calls

4 calls:

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

Compiler

Compiled 3331 to 1834 computations (44.9% saved)

series892.0ms (9.2%)

Error

6.2b

Counts

4 → 56

Calls

4 calls:

249.0ms	(+.f64 b (.f64 (fabs.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))))
201.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
192.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
137.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 7926 to 5460 computations (31.1% saved)

simplify80.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4936	2407
1	4936	2407

prune254.0ms (2.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	108	10	118

Error

6.2b

Counts

118 → 10

Compiler

Compiled 6062 to 3415 computations (43.7% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

21.7b	(sqrt.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
22.4b	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
22.4b	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
22.4b	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite329.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

6.2b

Rules

60×	`cbrt-div_binary64_110`
30×	`flip3--_binary64_82` `flip--_binary64_53`
28×	`frac-times_binary64_88`
26×	`sqrt-div_binary64_95`
24×	`pow1_binary64_139`
15×	`sqrt-pow1_binary64_96`
14×	`associate-*l/_binary64_21`
12×	`pow1/3_binary64_160`
9×	`cbrt-prod_binary64_109` `pow-prod-up_binary64_148`
8×	`associate-*r/_binary64_20`
7×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
6×	`pow-plus_binary64_141`
5×	`pow-prod-down_binary64_149`
4×	`add-log-exp_binary64_117` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
3×	`pow-sqr_binary64_51`
2×	`pow2_binary64_159`
1×	`pow1/2_binary64_158` `pow3_binary64_161` `sqrt-prod_binary64_94`

Counts

4 → 89

Calls

4 calls:

24.0ms	(sqrt.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
4.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 7307 to 3759 computations (48.6% saved)

series877.0ms (9%)

Error

6.2b

Counts

4 → 58

Calls

4 calls:

204.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
201.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
200.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
156.0ms	(sqrt.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))

Compiler

Compiled 8768 to 5809 computations (33.7% saved)

simplify100.0ms (1%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4924	4568
1	4924	4568

prune437.0ms (4.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	146	1	147
Fresh	1	6	7
Picked	1	0	1
Done	0	2	2
Total	148	9	157

Error

6.2b

Counts

157 → 9

Compiler

Compiled 9131 to 5106 computations (44.1% saved)

regimes788.0ms (8.1%)

Accuracy

Total 1.4b remaining (19.9%)

Threshold costs 0b (0%)

Compiler

Compiled 7826 to 5318 computations (32% saved)

bsearch7.0ms (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	128	478
1	128	478

Removed

()

end0.0ms (0%)

sample2.5s (25.5%)

Algorithm

1×

intervals

Results

690.0ms	8000×	body	128	valid
57.0ms	676×	body	128	nan
34.0ms	392×	body	128	invalid

Compiler

Compiled 2291 to 1531 computations (33.2% saved)

Details

analyze768.0ms (7.9%)

sample38.0ms (0.4%)

simplify376.0ms (3.9%)

prune8.0ms (0.1%)

localize22.0ms (0.2%)

rewrite131.0ms (1.3%)

series621.0ms (6.4%)

simplify64.0ms (0.7%)

prune217.0ms (2.2%)

localize29.0ms (0.3%)

rewrite144.0ms (1.5%)

series553.0ms (5.7%)

simplify52.0ms (0.5%)

prune244.0ms (2.5%)

localize30.0ms (0.3%)

rewrite137.0ms (1.4%)

series892.0ms (9.2%)

simplify80.0ms (0.8%)

prune254.0ms (2.6%)

localize30.0ms (0.3%)

rewrite329.0ms (3.4%)

series877.0ms (9%)

simplify100.0ms (1%)

prune437.0ms (4.5%)

regimes788.0ms (8.1%)

bsearch7.0ms (0.1%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample2.5s (25.5%)

Profiling