Details

analyze680.0ms (9.5%)

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)

sample43.0ms (0.6%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
3.0ms	84×	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 (2.0ms)

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	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

17.9b

Counts

2 → 1

Compiler

Compiled 26 to 21 computations (19.2% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

1.0b	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
1.0b	(+.f64 (.f64 x y) (.f64 x z))
16.9b	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))

rewrite64.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

17.8b

Rules

10×	`add-log-exp_binary64_17508`
5×	`add-sqr-sqrt_binary64_17491`
4×	`pow1_binary64_17530` `add-cube-cbrt_binary64_17504` `*-un-lft-identity_binary64_17469` `sum-log_binary64_17560`
3×	`add-exp-log_binary64_17507` `add-cbrt-cube_binary64_17505` `flip3-+_binary64_17472` `flip-+_binary64_17443` `sqrt-prod_binary64_17485`
2×	`sqrt-div_binary64_17486` `+-commutative_binary64_17399`
1×	`pow1/2_binary64_17549` `sqrt-pow1_binary64_17487` `rem-sqrt-square_binary64_17482` `distribute-lft-out_binary64_17420` `associate-+l+_binary64_17402`

Counts

3 → 40

Calls

3 calls:

7.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
6.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))
4.0ms	(+.f64 (.f64 x y) (.f64 x z))

Compiler

Compiled 1000 to 238 computations (76.2% saved)

series425.0ms (6%)

Error

17.4b

Counts

3 → 46

Calls

3 calls:

156.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
142.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))
95.0ms	(+.f64 (.f64 x y) (.f64 x z))

Compiler

Compiled 1919 to 1277 computations (33.5% saved)

simplify75.0ms (1%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5036	1216

prune75.0ms (1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	77	9	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	9	87

Error

17.4b

Counts

87 → 9

Compiler

Compiled 1468 to 493 computations (66.4% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(+.f64 (.f64 z y) (.f64 x (+.f64 z y)))
1.0b	(+.f64 (.f64 z y) (.f64 x (+.f64 z y)))
16.9b	(sqrt.f64 (+.f64 (.f64 z y) (.f64 x (+.f64 z y))))
16.9b	(sqrt.f64 (+.f64 (.f64 z y) (.f64 x (+.f64 z y))))

rewrite77.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

17.4b

Rules

8×	`add-log-exp_binary64_17508` `add-sqr-sqrt_binary64_17491`
6×	`pow1_binary64_17530` `add-cube-cbrt_binary64_17504` `sqrt-prod_binary64_17485` `*-un-lft-identity_binary64_17469`
4×	`add-exp-log_binary64_17507` `add-cbrt-cube_binary64_17505` `flip3-+_binary64_17472` `sqrt-div_binary64_17486` `flip-+_binary64_17443` `associate-+r+_binary64_17401`
2×	`pow1/2_binary64_17549` `sqrt-pow1_binary64_17487` `rem-sqrt-square_binary64_17482` `sum-log_binary64_17560` `distribute-rgt-in_binary64_17419` `distribute-lft-in_binary64_17418` `+-commutative_binary64_17399`

Counts

4 → 56

Calls

4 calls:

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

Compiler

Compiled 1990 to 337 computations (83.1% saved)

series666.0ms (9.3%)

Error

17.4b

Counts

4 → 62

Calls

4 calls:

161.0ms	(+.f64 (.f64 z y) (.f64 x (+.f64 z y)))
160.0ms	(+.f64 (.f64 z y) (.f64 x (+.f64 z y)))
154.0ms	(sqrt.f64 (+.f64 (.f64 z y) (.f64 x (+.f64 z y))))
143.0ms	(sqrt.f64 (+.f64 (.f64 z y) (.f64 x (+.f64 z y))))

Compiler

Compiled 4958 to 2710 computations (45.3% saved)

simplify75.0ms (1%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5023	1932

prune111.0ms (1.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	117	1	118
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	117	10	127

Error

17.4b

Counts

127 → 10

Compiler

Compiled 3518 to 719 computations (79.6% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(+.f64 (.f64 z y) (.f64 x (+.f64 z y)))
1.0b	(+.f64 (.f64 z y) (.f64 x (+.f64 z y)))
17.4b	(cbrt.f64 (+.f64 (.f64 z y) (.f64 x (+.f64 z y))))
17.4b	(cbrt.f64 (+.f64 (.f64 z y) (.f64 x (+.f64 z y))))

rewrite79.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

17.4b

Rules

8×	`add-log-exp_binary64_17508`
6×	`add-cube-cbrt_binary64_17504` `cbrt-prod_binary64_17500` `add-sqr-sqrt_binary64_17491` `*-un-lft-identity_binary64_17469`
4×	`pow1_binary64_17530` `add-exp-log_binary64_17507` `add-cbrt-cube_binary64_17505` `flip3-+_binary64_17472` `cbrt-div_binary64_17501` `flip-+_binary64_17443` `associate-+r+_binary64_17401`
2×	`pow1/3_binary64_17551` `sum-log_binary64_17560` `distribute-rgt-in_binary64_17419` `distribute-lft-in_binary64_17418` `+-commutative_binary64_17399`

Counts

4 → 52

Calls

4 calls:

5.0ms	(+.f64 (.f64 z y) (.f64 x (+.f64 z y)))
4.0ms	(+.f64 (.f64 z y) (.f64 x (+.f64 z y)))
4.0ms	(cbrt.f64 (+.f64 (.f64 z y) (.f64 x (+.f64 z y))))
4.0ms	(cbrt.f64 (+.f64 (.f64 z y) (.f64 x (+.f64 z y))))

Compiler

Compiled 1882 to 330 computations (82.5% saved)

series790.0ms (11.1%)

Error

17.4b

Counts

4 → 62

Calls

4 calls:

211.0ms	(cbrt.f64 (+.f64 (.f64 z y) (.f64 x (+.f64 z y))))
209.0ms	(cbrt.f64 (+.f64 (.f64 z y) (.f64 x (+.f64 z y))))
158.0ms	(+.f64 (.f64 z y) (.f64 x (+.f64 z y)))
152.0ms	(+.f64 (.f64 z y) (.f64 x (+.f64 z y)))

Compiler

Compiled 5222 to 2978 computations (43% saved)

simplify66.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4994	2208
1	4994	2208

prune123.0ms (1.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	113	11	124

Error

17.4b

Counts

124 → 11

Compiler

Compiled 3622 to 856 computations (76.4% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

17.4b	(cbrt.f64 (+.f64 (.f64 z y) (.f64 x (+.f64 z y))))
17.4b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 (+.f64 x y) z)))
17.4b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 (+.f64 x y) z)))
17.4b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 (+.f64 x y) z)))

rewrite97.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

17.4b

Rules

12×	`cbrt-prod_binary64_17500`
8×	`add-cube-cbrt_binary64_17504` `cbrt-div_binary64_17501` `add-sqr-sqrt_binary64_17491` `*-un-lft-identity_binary64_17469`
4×	`pow1/3_binary64_17551` `pow1_binary64_17530` `add-log-exp_binary64_17508` `add-exp-log_binary64_17507` `add-cbrt-cube_binary64_17505` `flip3-+_binary64_17472` `flip-+_binary64_17443`

Counts

4 → 52

Calls

4 calls:

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

Compiler

Compiled 3212 to 447 computations (86.1% saved)

series943.0ms (13.2%)

Error

17.4b

Counts

4 → 52

Calls

4 calls:

228.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 (+.f64 x y) z)))
216.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 (+.f64 x y) z)))
208.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 (+.f64 x y) z)))
201.0ms	(cbrt.f64 (+.f64 (.f64 z y) (.f64 x (+.f64 z y))))

Compiler

Compiled 9424 to 4642 computations (50.7% saved)

simplify76.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4983	2812
1	4983	2812

prune144.0ms (2%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	104	11	115

Error

17.4b

Counts

115 → 11

Compiler

Compiled 6028 to 996 computations (83.5% saved)

regimes656.0ms (9.2%)

Accuracy

Total 0.5b remaining (2.7%)

Threshold costs 0.5b (2.7%)

Compiler

Compiled 9134 to 5072 computations (44.5% saved)

bsearch0.0ms (0%)

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	21
1	18	21

Remove

(sort x y z)

Compiler

Compiled 28 to 22 computations (21.4% saved)

end0.0ms (0%)

sample1.8s (25%)

Algorithm

1×

intervals

Results

339.0ms	8000×	body	128	valid
95.0ms	2366×	body	128	nan

Compiler

Compiled 1603 to 906 computations (43.5% saved)

Details

analyze680.0ms (9.5%)

sample43.0ms (0.6%)

simplify8.0ms (0.1%)

prune4.0ms (0.1%)

localize9.0ms (0.1%)

rewrite64.0ms (0.9%)

series425.0ms (6%)

simplify75.0ms (1%)

prune75.0ms (1%)

localize13.0ms (0.2%)

rewrite77.0ms (1.1%)

series666.0ms (9.3%)

simplify75.0ms (1%)

prune111.0ms (1.6%)

localize12.0ms (0.2%)

rewrite79.0ms (1.1%)

series790.0ms (11.1%)

simplify66.0ms (0.9%)

prune123.0ms (1.7%)

localize24.0ms (0.3%)

rewrite97.0ms (1.4%)

series943.0ms (13.2%)

simplify76.0ms (1.1%)

prune144.0ms (2%)

regimes656.0ms (9.2%)

bsearch0.0ms (0%)

simplify15.0ms (0.2%)

end0.0ms (0%)

sample1.8s (25%)

Profiling