Details

analyze862.0ms (10.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	72
1	38	72
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
6.2%	93.6%	0.1%	6
12.5%	87.4%	0.1%	7
15.6%	84.3%	0.1%	8
18.7%	71.8%	9.5%	9
23.4%	56%	20.6%	10
26.3%	52.2%	21.5%	11
31%	40.1%	28.9%	12
35.6%	28.9%	35.5%	13
36.8%	27.5%	35.7%	14

Symmetry

(sort x y z)

Compiler

Compiled 15 to 12 computations (20% saved)

sample63.0ms (0.7%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
5.0ms	92×	body	128	nan

Compiler

Compiled 29 to 26 computations (10.3% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	38	18
1	38	18

prune4.0ms (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

21.0b

Counts

2 → 1

Compiler

Compiled 24 to 20 computations (16.7% saved)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 x (+.f64 y z))
1.4b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
19.8b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

rewrite106.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

20.9b

Rules

9×	`add-sqr-sqrt_binary64_19537`
8×	`*-un-lft-identity_binary64_19515`
6×	`pow1_binary64_19576` `add-cube-cbrt_binary64_19550`
5×	`add-log-exp_binary64_19554` `add-exp-log_binary64_19553` `add-cbrt-cube_binary64_19551`
4×	`associate-r_binary64_19455`
3×	`flip3-+_binary64_19518` `flip-+_binary64_19489` `sqrt-prod_binary64_19531` `associate-l_binary64_19456`
2×	`sqrt-div_binary64_19532` `distribute-rgt-in_binary64_19465` `associate-+l+_binary64_19448` `distribute-lft-in_binary64_19464` `associate-*r/_binary64_19457`
1×	`pow1/2_binary64_19595` `sqrt-pow1_binary64_19533` `rem-sqrt-square_binary64_19528` `sum-log_binary64_19606` `+-commutative_binary64_19445` `pow-prod-down_binary64_19586` `prod-exp_binary64_19564` `cbrt-unprod_binary64_19548` `unswap-sqr_binary64_19483` `distribute-lft-out_binary64_19466` `*-commutative_binary64_19446`

Counts

3 → 51

Calls

3 calls:

12.0ms	(*.f64 x (+.f64 y z))
9.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
7.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

Compiler

Compiled 1041 to 318 computations (69.5% saved)

series481.0ms (5.7%)

Error

20.5b

Counts

3 → 46

Calls

3 calls:

182.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
163.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
98.0ms	(*.f64 x (+.f64 y z))

Compiler

Compiled 1919 to 1277 computations (33.5% saved)

simplify80.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4965	1271
1	4965	1271

prune98.0ms (1.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	87	10	97
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	87	11	98

Error

20.4b

Counts

98 → 11

Compiler

Compiled 1649 to 576 computations (65.1% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.2b	(+.f64 (.f64 y x) (.f64 z (+.f64 y x)))
1.2b	(+.f64 (.f64 y x) (.f64 z (+.f64 y x)))
19.8b	(sqrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))
19.8b	(sqrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))

rewrite90.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

20.4b

Rules

8×	`add-log-exp_binary64_19554` `add-sqr-sqrt_binary64_19537`
6×	`pow1_binary64_19576` `add-cube-cbrt_binary64_19550` `sqrt-prod_binary64_19531` `*-un-lft-identity_binary64_19515`
4×	`add-exp-log_binary64_19553` `add-cbrt-cube_binary64_19551` `flip3-+_binary64_19518` `sqrt-div_binary64_19532` `flip-+_binary64_19489` `associate-+r+_binary64_19447`
2×	`pow1/2_binary64_19595` `sqrt-pow1_binary64_19533` `rem-sqrt-square_binary64_19528` `sum-log_binary64_19606` `distribute-rgt-in_binary64_19465` `distribute-lft-in_binary64_19464` `+-commutative_binary64_19445`

Counts

4 → 56

Calls

4 calls:

7.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 y x)))
5.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 y x)))
4.0ms	(sqrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))
4.0ms	(sqrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))

Compiler

Compiled 1990 to 337 computations (83.1% saved)

series851.0ms (10.1%)

Error

20.4b

Counts

4 → 62

Calls

4 calls:

225.0ms	(sqrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))
202.0ms	(sqrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))
196.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 y x)))
179.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 y x)))

Compiler

Compiled 4958 to 2775 computations (44% saved)

simplify76.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5160	1932

prune138.0ms (1.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	117	1	118
Fresh	1	8	9
Picked	1	0	1
Done	0	1	1
Total	119	10	129

Error

20.4b

Counts

129 → 10

Compiler

Compiled 3515 to 719 computations (79.5% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.2b	(+.f64 (.f64 y x) (.f64 z (+.f64 y x)))
1.6b	(+.f64 (.f64 y (+.f64 x z)) (.f64 x z))
19.8b	(sqrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))
19.8b	(sqrt.f64 (+.f64 (.f64 y (+.f64 x z)) (.f64 x z)))

rewrite108.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

20.4b

Rules

8×	`add-log-exp_binary64_19554` `add-sqr-sqrt_binary64_19537`
6×	`pow1_binary64_19576` `add-cube-cbrt_binary64_19550` `sqrt-prod_binary64_19531` `*-un-lft-identity_binary64_19515`
4×	`add-exp-log_binary64_19553` `add-cbrt-cube_binary64_19551` `flip3-+_binary64_19518` `sqrt-div_binary64_19532` `flip-+_binary64_19489`
2×	`pow1/2_binary64_19595` `sqrt-pow1_binary64_19533` `rem-sqrt-square_binary64_19528` `sum-log_binary64_19606` `distribute-rgt-in_binary64_19465` `associate-+l+_binary64_19448` `distribute-lft-in_binary64_19464` `+-commutative_binary64_19445` `associate-+r+_binary64_19447`

Counts

4 → 56

Calls

4 calls:

7.0ms	(+.f64 (.f64 y (+.f64 x z)) (.f64 x z))
7.0ms	(sqrt.f64 (+.f64 (.f64 y (+.f64 x z)) (.f64 x z)))
4.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 y x)))
4.0ms	(sqrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))

Compiler

Compiled 1990 to 417 computations (79% saved)

series804.0ms (9.5%)

Error

20.4b

Counts

4 → 62

Calls

4 calls:

203.0ms	(sqrt.f64 (+.f64 (.f64 y (+.f64 x z)) (.f64 x z)))
195.0ms	(+.f64 (.f64 y (+.f64 x z)) (.f64 x z))
192.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 y x)))
165.0ms	(sqrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))

Compiler

Compiled 4958 to 2750 computations (44.5% saved)

simplify97.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4970	1944
1	4970	1944

prune146.0ms (1.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	117	1	118
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	117	11	128

Error

20.4b

Counts

128 → 11

Compiler

Compiled 3548 to 745 computations (79% saved)

localize36.0ms (0.4%)

Local error

Found 4 expressions with local error:

19.8b	(sqrt.f64 (+.f64 (.f64 y (+.f64 x z)) (.f64 x z)))
19.8b	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 x y))))
19.8b	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 x y))))
19.8b	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 x y))))

rewrite136.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

20.4b

Rules

12×	`add-sqr-sqrt_binary64_19537` `sqrt-prod_binary64_19531`
8×	`pow1_binary64_19576` `add-cube-cbrt_binary64_19550` `sqrt-div_binary64_19532` `*-un-lft-identity_binary64_19515`
4×	`pow1/2_binary64_19595` `add-log-exp_binary64_19554` `add-exp-log_binary64_19553` `add-cbrt-cube_binary64_19551` `sqrt-pow1_binary64_19533` `flip3-+_binary64_19518` `flip-+_binary64_19489` `rem-sqrt-square_binary64_19528`

Counts

4 → 60

Calls

4 calls:

11.0ms	(sqrt.f64 (+.f64 (.f64 y (+.f64 x z)) (.f64 x z)))
5.0ms	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 x y))))
4.0ms	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 x y))))
4.0ms	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 x y))))

Compiler

Compiled 3680 to 480 computations (87% saved)

series877.0ms (10.4%)

Error

20.4b

Counts

4 → 52

Calls

4 calls:

204.0ms	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 x y))))
204.0ms	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 x y))))
195.0ms	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 x y))))
169.0ms	(sqrt.f64 (+.f64 (.f64 y (+.f64 x z)) (.f64 x z)))

Compiler

Compiled 9036 to 4102 computations (54.6% saved)

simplify112.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5034	2196

prune171.0ms (2%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	0	8	8
Picked	1	0	1
Done	0	2	2
Total	112	11	123

Error

20.4b

Counts

123 → 11

Compiler

Compiled 6172 to 883 computations (85.7% saved)

regimes821.0ms (9.7%)

Accuracy

Total 0.5b remaining (2.6%)

Threshold costs 0.5b (2.6%)

Compiler

Compiled 8870 to 5120 computations (42.3% saved)

bsearch0.0ms (0%)

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	18
1	16	18

Remove

(sort x y z)

Compiler

Compiled 24 to 20 computations (16.7% saved)

end0.0ms (0%)

sample2.2s (26.2%)

Algorithm

1×

intervals

Results

415.0ms	8000×	body	128	valid
119.0ms	2285×	body	128	nan

Compiler

Compiled 1557 to 913 computations (41.4% saved)

Details

analyze862.0ms (10.2%)

sample63.0ms (0.7%)

simplify9.0ms (0.1%)

prune4.0ms (0%)

localize15.0ms (0.2%)

rewrite106.0ms (1.3%)

series481.0ms (5.7%)

simplify80.0ms (0.9%)

prune98.0ms (1.2%)

localize16.0ms (0.2%)

rewrite90.0ms (1.1%)

series851.0ms (10.1%)

simplify76.0ms (0.9%)

prune138.0ms (1.6%)

localize28.0ms (0.3%)

rewrite108.0ms (1.3%)

series804.0ms (9.5%)

simplify97.0ms (1.1%)

prune146.0ms (1.7%)

localize36.0ms (0.4%)

rewrite136.0ms (1.6%)

series877.0ms (10.4%)

simplify112.0ms (1.3%)

prune171.0ms (2%)

regimes821.0ms (9.7%)

bsearch0.0ms (0%)

simplify15.0ms (0.2%)

end0.0ms (0%)

sample2.2s (26.2%)

Profiling