Details

analyze653.0ms (9.9%)

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)

sample46.0ms (0.7%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
3.0ms	80×	body	128	nan

Compiler

Compiled 29 to 26 computations (10.3% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	38	18
1	38	18

prune4.0ms (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

17.6b

Counts

2 → 1

Compiler

Compiled 24 to 20 computations (16.7% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 x (+.f64 y z))
0.8b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
16.7b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

rewrite75.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

17.5b

Rules

9×	`add-sqr-sqrt_binary64_18855`
8×	`*-un-lft-identity_binary64_18833`
6×	`pow1_binary64_18894` `add-cube-cbrt_binary64_18868`
5×	`add-log-exp_binary64_18872` `add-exp-log_binary64_18871` `add-cbrt-cube_binary64_18869`
4×	`associate-r_binary64_18773`
3×	`flip3-+_binary64_18836` `flip-+_binary64_18807` `sqrt-prod_binary64_18849` `associate-l_binary64_18774`
2×	`sqrt-div_binary64_18850` `distribute-rgt-in_binary64_18783` `associate-+l+_binary64_18766` `distribute-lft-in_binary64_18782` `associate-*r/_binary64_18775`
1×	`pow1/2_binary64_18913` `sqrt-pow1_binary64_18851` `rem-sqrt-square_binary64_18846` `sum-log_binary64_18924` `+-commutative_binary64_18763` `pow-prod-down_binary64_18904` `prod-exp_binary64_18882` `cbrt-unprod_binary64_18866` `unswap-sqr_binary64_18801` `distribute-lft-out_binary64_18784` `*-commutative_binary64_18764`

Counts

3 → 51

Calls

3 calls:

7.0ms	(*.f64 x (+.f64 y z))
7.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
6.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

Compiler

Compiled 1041 to 318 computations (69.5% saved)

series393.0ms (5.9%)

Error

17.2b

Counts

3 → 45

Calls

3 calls:

158.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
121.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
83.0ms	(*.f64 x (+.f64 y z))

Compiler

Compiled 1737 to 1148 computations (33.9% saved)

simplify68.0ms (1%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5011	1198

prune92.0ms (1.4%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	81	15	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	15	97

Error

17.2b

Counts

97 → 15

Compiler

Compiled 1689 to 607 computations (64.1% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.8b	(+.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (+.f64 z y) (cbrt.f64 x))) (.f64 y z))
16.7b	(sqrt.f64 (+.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (+.f64 z y) (cbrt.f64 x))) (.f64 y z)))

rewrite80.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

17.2b

Rules

8×	`add-sqr-sqrt_binary64_18855`
7×	`add-cube-cbrt_binary64_18868` `*-un-lft-identity_binary64_18833`
6×	`add-log-exp_binary64_18872` `cbrt-prod_binary64_18864`
5×	`pow1_binary64_18894`
4×	`add-exp-log_binary64_18871` `add-cbrt-cube_binary64_18869`
3×	`sqrt-prod_binary64_18849`
2×	`flip3-+_binary64_18836` `sqrt-div_binary64_18850` `flip-+_binary64_18807` `pow1/3_binary64_18915`
1×	`pow1/2_binary64_18913` `sqrt-pow1_binary64_18851` `rem-sqrt-square_binary64_18846` `sum-log_binary64_18924` `+-commutative_binary64_18763`

Counts

4 → 48

Calls

4 calls:

13.0ms	(+.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (+.f64 z y) (cbrt.f64 x))) (.f64 y z))
13.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (+.f64 z y) (cbrt.f64 x))) (.f64 y z)))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1456 to 313 computations (78.5% saved)

series528.0ms (8%)

Error

17.2b

Counts

4 → 36

Calls

4 calls:

206.0ms	(+.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (+.f64 z y) (cbrt.f64 x))) (.f64 y z))
142.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (+.f64 z y) (cbrt.f64 x))) (.f64 y z)))
80.0ms	(cbrt.f64 x)
75.0ms	(cbrt.f64 x)

Compiler

Compiled 1746 to 1233 computations (29.4% saved)

simplify52.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4992	1043
1	4992	1043

prune71.0ms (1.1%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	14	14
Picked	0	1	1
Done	0	0	0
Total	84	15	99

Error

17.2b

Counts

99 → 15

Compiler

Compiled 1764 to 605 computations (65.7% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(+.f64 (.f64 y x) (.f64 z (+.f64 y x)))
1.0b	(+.f64 (.f64 y x) (.f64 z (+.f64 y x)))
16.7b	(sqrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))
16.7b	(sqrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))

rewrite80.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

17.2b

Rules

8×	`add-log-exp_binary64_18872` `add-sqr-sqrt_binary64_18855`
6×	`pow1_binary64_18894` `add-cube-cbrt_binary64_18868` `sqrt-prod_binary64_18849` `*-un-lft-identity_binary64_18833`
4×	`add-exp-log_binary64_18871` `add-cbrt-cube_binary64_18869` `flip3-+_binary64_18836` `sqrt-div_binary64_18850` `flip-+_binary64_18807` `associate-+r+_binary64_18765`
2×	`pow1/2_binary64_18913` `sqrt-pow1_binary64_18851` `rem-sqrt-square_binary64_18846` `sum-log_binary64_18924` `distribute-rgt-in_binary64_18783` `distribute-lft-in_binary64_18782` `+-commutative_binary64_18763`

Counts

4 → 56

Calls

4 calls:

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

series610.0ms (9.2%)

Error

17.2b

Counts

4 → 60

Calls

4 calls:

160.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 y x)))
154.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 y x)))
130.0ms	(sqrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))
124.0ms	(sqrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))

Compiler

Compiled 4542 to 2497 computations (45% saved)

simplify85.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5052	1786

prune117.0ms (1.8%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	0	13	13
Picked	0	1	1
Done	0	1	1
Total	115	16	131

Error

17.2b

Counts

131 → 16

Compiler

Compiled 3506 to 726 computations (79.3% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

16.7b	(sqrt.f64 (.f64 (.f64 (cbrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x)))) (cbrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))) (cbrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))))
17.2b	(cbrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))
17.2b	(cbrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))
17.2b	(cbrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))

rewrite169.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

17.2b

Rules

60×	`cbrt-div_binary64_18865`
30×	`flip3-+_binary64_18836` `flip-+_binary64_18807`
28×	`frac-times_binary64_18843`
26×	`sqrt-div_binary64_18850`
24×	`pow1_binary64_18894`
15×	`sqrt-pow1_binary64_18851`
14×	`associate-*l/_binary64_18776`
12×	`pow1/3_binary64_18915`
9×	`cbrt-prod_binary64_18864` `pow-prod-up_binary64_18903`
8×	`associate-*r/_binary64_18775`
7×	`add-cube-cbrt_binary64_18868` `add-sqr-sqrt_binary64_18855` `*-un-lft-identity_binary64_18833`
6×	`pow-plus_binary64_18896`
5×	`pow-prod-down_binary64_18904`
4×	`add-log-exp_binary64_18872` `add-exp-log_binary64_18871` `add-cbrt-cube_binary64_18869`
3×	`pow-sqr_binary64_18806`
2×	`pow2_binary64_18914`
1×	`pow1/2_binary64_18913` `pow3_binary64_18916` `sqrt-prod_binary64_18849`

Counts

4 → 89

Calls

4 calls:

18.0ms	(sqrt.f64 (.f64 (.f64 (cbrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x)))) (cbrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))) (cbrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))))
4.0ms	(cbrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))
4.0ms	(cbrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))
4.0ms	(cbrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))

Compiler

Compiled 5171 to 769 computations (85.1% saved)

series896.0ms (13.5%)

Error

17.2b

Counts

4 → 54

Calls

4 calls:

231.0ms	(cbrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))
229.0ms	(cbrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))
224.0ms	(cbrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))
141.0ms	(sqrt.f64 (.f64 (.f64 (cbrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x)))) (cbrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))) (cbrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))))

Compiler

Compiled 7035 to 3885 computations (44.8% saved)

simplify75.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5224	5768

prune176.0ms (2.7%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	142	1	143
Fresh	2	11	13
Picked	0	1	1
Done	0	2	2
Total	144	15	159

Error

17.2b

Counts

159 → 15

Compiler

Compiled 6397 to 1210 computations (81.1% saved)

regimes580.0ms (8.8%)

Accuracy

Total 0.5b remaining (2.6%)

Threshold costs 0.5b (2.6%)

Compiler

Compiled 7388 to 4244 computations (42.6% 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

Removed

((sort x y z))

Compiler

Compiled 24 to 20 computations (16.7% saved)

end0.0ms (0%)

sample1.7s (25.7%)

Algorithm

1×

intervals

Results

363.0ms	8000×	body	128	valid
94.0ms	2240×	body	128	nan

Compiler

Compiled 1310 to 767 computations (41.5% saved)

Details

analyze653.0ms (9.9%)

sample46.0ms (0.7%)

simplify8.0ms (0.1%)

prune4.0ms (0.1%)

localize8.0ms (0.1%)

rewrite75.0ms (1.1%)

series393.0ms (5.9%)

simplify68.0ms (1%)

prune92.0ms (1.4%)

localize13.0ms (0.2%)

rewrite80.0ms (1.2%)

series528.0ms (8%)

simplify52.0ms (0.8%)

prune71.0ms (1.1%)

localize11.0ms (0.2%)

rewrite80.0ms (1.2%)

series610.0ms (9.2%)

simplify85.0ms (1.3%)

prune117.0ms (1.8%)

localize13.0ms (0.2%)

rewrite169.0ms (2.6%)

series896.0ms (13.5%)

simplify75.0ms (1.1%)

prune176.0ms (2.7%)

regimes580.0ms (8.8%)

bsearch0.0ms (0%)

simplify15.0ms (0.2%)

end0.0ms (0%)

sample1.7s (25.7%)

Profiling