Details

analyze693.0ms (10.6%)

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)

sample47.0ms (0.7%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
3.0ms	68×	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

19.4b

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))
0.6b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
18.3b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

rewrite76.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

19.3b

Rules

9×	`add-sqr-sqrt_binary64_15104`
8×	`*-un-lft-identity_binary64_15082`
6×	`pow1_binary64_15143` `add-cube-cbrt_binary64_15117`
5×	`add-log-exp_binary64_15121` `add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118`
4×	`associate-r_binary64_15022`
3×	`flip3-+_binary64_15085` `flip-+_binary64_15056` `sqrt-prod_binary64_15098` `associate-l_binary64_15023`
2×	`sqrt-div_binary64_15099` `distribute-rgt-in_binary64_15032` `associate-+l+_binary64_15015` `distribute-lft-in_binary64_15031` `associate-*r/_binary64_15024`
1×	`pow1/2_binary64_15162` `sqrt-pow1_binary64_15100` `rem-sqrt-square_binary64_15095` `sum-log_binary64_15173` `+-commutative_binary64_15012` `pow-prod-down_binary64_15153` `prod-exp_binary64_15131` `cbrt-unprod_binary64_15115` `unswap-sqr_binary64_15050` `distribute-lft-out_binary64_15033` `*-commutative_binary64_15013`

Counts

3 → 51

Calls

3 calls:

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

Compiler

Compiled 1041 to 318 computations (69.5% saved)

series430.0ms (6.6%)

Error

18.9b

Counts

3 → 47

Calls

3 calls:

160.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
139.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
93.0ms	(*.f64 x (+.f64 y z))

Compiler

Compiled 2038 to 1358 computations (33.4% saved)

simplify60.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5117	1433

prune93.0ms (1.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	87	11	98
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	87	12	99

Error

18.8b

Counts

99 → 12

Compiler

Compiled 1785 to 656 computations (63.2% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 z y))
0.6b	(cbrt.f64 (+.f64 z y))
0.6b	(+.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (+.f64 z y)) (cbrt.f64 (+.f64 z y)))) (cbrt.f64 (+.f64 y z))) (.f64 y z))
18.3b	(sqrt.f64 (+.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (+.f64 z y)) (cbrt.f64 (+.f64 z y)))) (cbrt.f64 (+.f64 y z))) (.f64 y z)))

rewrite111.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

18.8b

Rules

11×	`*-un-lft-identity_binary64_15082`
8×	`add-sqr-sqrt_binary64_15104` `cbrt-prod_binary64_15113`
7×	`add-cube-cbrt_binary64_15117`
6×	`add-log-exp_binary64_15121`
5×	`pow1_binary64_15143`
4×	`add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118` `flip3-+_binary64_15085` `flip-+_binary64_15056` `cbrt-div_binary64_15114`
3×	`sqrt-prod_binary64_15098`
2×	`sqrt-div_binary64_15099` `pow1/3_binary64_15164` `distribute-lft-out_binary64_15033`
1×	`pow1/2_binary64_15162` `sqrt-pow1_binary64_15100` `rem-sqrt-square_binary64_15095` `sum-log_binary64_15173` `+-commutative_binary64_15012`

Counts

4 → 54

Calls

4 calls:

20.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (+.f64 z y)) (cbrt.f64 (+.f64 z y)))) (cbrt.f64 (+.f64 y z))) (.f64 y z)))
20.0ms	(+.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (+.f64 z y)) (cbrt.f64 (+.f64 z y)))) (cbrt.f64 (+.f64 y z))) (.f64 y z))
3.0ms	(cbrt.f64 (+.f64 z y))
3.0ms	(cbrt.f64 (+.f64 z y))

Compiler

Compiled 1968 to 410 computations (79.2% saved)

series496.0ms (7.6%)

Error

18.8b

Counts

4 → 48

Calls

4 calls:

161.0ms	(+.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (+.f64 z y)) (cbrt.f64 (+.f64 z y)))) (cbrt.f64 (+.f64 y z))) (.f64 y z))
146.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (+.f64 z y)) (cbrt.f64 (+.f64 z y)))) (cbrt.f64 (+.f64 y z))) (.f64 y z)))
75.0ms	(cbrt.f64 (+.f64 z y))
70.0ms	(cbrt.f64 (+.f64 z y))

Compiler

Compiled 2926 to 2044 computations (30.1% saved)

simplify63.0ms (1%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5224	1558

prune95.0ms (1.4%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	101	13	114

Error

18.8b

Counts

114 → 13

Compiler

Compiled 2472 to 834 computations (66.3% saved)

localize14.0ms (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)))
18.3b	(sqrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))
18.3b	(sqrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))

rewrite78.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

18.8b

Rules

8×	`add-log-exp_binary64_15121` `add-sqr-sqrt_binary64_15104`
6×	`pow1_binary64_15143` `add-cube-cbrt_binary64_15117` `sqrt-prod_binary64_15098` `*-un-lft-identity_binary64_15082`
4×	`add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118` `flip3-+_binary64_15085` `sqrt-div_binary64_15099` `flip-+_binary64_15056` `associate-+r+_binary64_15014`
2×	`pow1/2_binary64_15162` `sqrt-pow1_binary64_15100` `rem-sqrt-square_binary64_15095` `sum-log_binary64_15173` `distribute-rgt-in_binary64_15032` `distribute-lft-in_binary64_15031` `+-commutative_binary64_15012`

Counts

4 → 56

Calls

4 calls:

5.0ms	(+.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)

series651.0ms (10%)

Error

18.8b

Counts

4 → 64

Calls

4 calls:

154.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 y x)))
148.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 y x)))
145.0ms	(sqrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))
145.0ms	(sqrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))

Compiler

Compiled 5222 to 2941 computations (43.7% saved)

simplify66.0ms (1%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5021	2256

prune124.0ms (1.9%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	120	13	133

Error

18.8b

Counts

133 → 13

Compiler

Compiled 3777 to 867 computations (77% saved)

localize12.0ms (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)))
18.8b	(cbrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))
18.8b	(cbrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))

rewrite78.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

18.8b

Rules

8×	`add-log-exp_binary64_15121`
6×	`add-cube-cbrt_binary64_15117` `cbrt-prod_binary64_15113` `add-sqr-sqrt_binary64_15104` `*-un-lft-identity_binary64_15082`
4×	`pow1_binary64_15143` `add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118` `flip3-+_binary64_15085` `cbrt-div_binary64_15114` `flip-+_binary64_15056` `associate-+r+_binary64_15014`
2×	`pow1/3_binary64_15164` `sum-log_binary64_15173` `distribute-rgt-in_binary64_15032` `distribute-lft-in_binary64_15031` `+-commutative_binary64_15012`

Counts

4 → 52

Calls

4 calls:

5.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 y x)))
4.0ms	(+.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 1882 to 330 computations (82.5% saved)

series835.0ms (12.8%)

Error

18.8b

Counts

4 → 64

Calls

4 calls:

235.0ms	(cbrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))
225.0ms	(cbrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))
156.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 y x)))
152.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 y x)))

Compiler

Compiled 5572 to 3353 computations (39.8% saved)

simplify67.0ms (1%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4973	2276
1	4973	2276

prune110.0ms (1.7%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	0	9	9
Picked	1	0	1
Done	1	2	3
Total	117	12	129

Error

18.8b

Counts

129 → 12

Compiler

Compiled 3494 to 749 computations (78.6% saved)

regimes573.0ms (8.8%)

Accuracy

Total 0.6b remaining (3%)

Threshold costs 0.6b (3%)

Compiler

Compiled 7202 to 4460 computations (38.1% saved)

bsearch0.0ms (0%)

simplify18.0ms (0.3%)

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%)

sample1.7s (26.2%)

Algorithm

1×

intervals

Results

349.0ms	8000×	body	128	valid
93.0ms	2393×	body	128	nan

Compiler

Compiled 1281 to 804 computations (37.2% saved)

Details

analyze693.0ms (10.6%)

sample47.0ms (0.7%)

simplify8.0ms (0.1%)

prune4.0ms (0.1%)

localize8.0ms (0.1%)

rewrite76.0ms (1.2%)

series430.0ms (6.6%)

simplify60.0ms (0.9%)

prune93.0ms (1.4%)

localize15.0ms (0.2%)

rewrite111.0ms (1.7%)

series496.0ms (7.6%)

simplify63.0ms (1%)

prune95.0ms (1.4%)

localize14.0ms (0.2%)

rewrite78.0ms (1.2%)

series651.0ms (10%)

simplify66.0ms (1%)

prune124.0ms (1.9%)

localize12.0ms (0.2%)

rewrite78.0ms (1.2%)

series835.0ms (12.8%)

simplify67.0ms (1%)

prune110.0ms (1.7%)

regimes573.0ms (8.8%)

bsearch0.0ms (0%)

simplify18.0ms (0.3%)

end0.0ms (0%)

sample1.7s (26.2%)

Profiling