Details

analyze384.0ms (4.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	263	64
1	263	64
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
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
43.7%	56.2%	0.1%	8
62.4%	37.4%	0.1%	9
65.5%	34.3%	0.1%	10
71.8%	27.7%	0.5%	11
79.2%	19.7%	1.1%	12
80.2%	18.7%	1.1%	13
82.8%	15%	2.2%	14

Symmetry

(sort x y)

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample25.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
1.0ms	19×	body	128	invalid

Compiler

Compiled 23 to 24 computations (-4.3% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	111	16
1	111	16

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

6.7b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

3.3b	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
4.5b	(.f64 y (+.f64 1 (.f64 z z)))

rewrite114.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

5.0b

Rules

31×	`times-frac_binary64_12360`
26×	`add-exp-log_binary64_12392`
20×	`add-sqr-sqrt_binary64_12376`
18×	`add-cube-cbrt_binary64_12389` `*-un-lft-identity_binary64_12354`
16×	`add-cbrt-cube_binary64_12390`
13×	`associate-/l*_binary64_12299`
12×	`div-exp_binary64_12405`
6×	`cbrt-undiv_binary64_12388`
5×	`prod-exp_binary64_12403`
4×	`pow1_binary64_12415` `associate-*r/_binary64_12296`
3×	`cbrt-unprod_binary64_12387` `associate-l_binary64_12295` `associate-r_binary64_12294` `div-inv_binary64_12351`
2×	`add-log-exp_binary64_12393` `flip3-+_binary64_12357` `flip-+_binary64_12328` `1-exp_binary64_12398` `rec-exp_binary64_12404` `associate-/r/_binary64_12300`
1×	`pow-prod-down_binary64_12425` `unswap-sqr_binary64_12322` `distribute-rgt-in_binary64_12304` `distribute-lft-in_binary64_12303` `-commutative_binary64_12285` `frac-2neg_binary64_12365` `clear-num_binary64_12353` `associate-/l/_binary64_12301` `associate-/r_binary64_12298`

Counts

2 → 74

Calls

2 calls:

8.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
6.0ms	(.f64 y (+.f64 1 (.f64 z z)))

Compiler

Compiled 1418 to 830 computations (41.5% saved)

series302.0ms (3.5%)

Error

5.2b

Counts

2 → 27

Calls

2 calls:

198.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
77.0ms	(.f64 y (+.f64 1 (.f64 z z)))

Compiler

Compiled 962 to 756 computations (21.4% saved)

simplify72.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4981	1800
1	4981	1800

prune95.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	95	6	101
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	95	7	102

Error

5.0b

Counts

102 → 7

Compiler

Compiled 1722 to 987 computations (42.7% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (/.f64 1 x))
0.5b	(cbrt.f64 (/.f64 1 x))
1.5b	(/.f64 (cbrt.f64 (/.f64 1 x)) (+.f64 (*.f64 z z) 1))
4.2b	(.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))) y) (/.f64 (cbrt.f64 (/.f64 1 x)) (+.f64 (*.f64 z z) 1)))

rewrite505.0ms (5.8%)

Algorithm

1×	rewrite-expression-head

Error

5.0b

Rules

197×	`times-frac_binary64_12360`
140×	`add-sqr-sqrt_binary64_12376`
123×	`cbrt-prod_binary64_12385`
112×	`*-un-lft-identity_binary64_12354`
110×	`add-cube-cbrt_binary64_12389`
54×	`associate-r_binary64_12294`
27×	`add-exp-log_binary64_12392`
19×	`add-cbrt-cube_binary64_12390`
16×	`associate-/l*_binary64_12299`
12×	`div-inv_binary64_12351`
10×	`unswap-sqr_binary64_12322`
8×	`div-exp_binary64_12405` `prod-exp_binary64_12403` `cbrt-unprod_binary64_12387` `cbrt-undiv_binary64_12388`
7×	`associate-l_binary64_12295`
6×	`pow1_binary64_12415`
4×	`add-log-exp_binary64_12393` `associate-/r/_binary64_12300`
3×	`cbrt-div_binary64_12386` `associate-/r*_binary64_12298`
2×	`flip3-+_binary64_12357` `flip-+_binary64_12328` `pow1/3_binary64_12436`
1×	`pow-prod-down_binary64_12425` `frac-times_binary64_12364` `associate-l/_binary64_12297` `associate-r/_binary64_12296` `*-commutative_binary64_12285` `frac-2neg_binary64_12365` `clear-num_binary64_12353` `associate-/l/_binary64_12301`

Counts

4 → 221

Calls

4 calls:

34.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))) y) (/.f64 (cbrt.f64 (/.f64 1 x)) (+.f64 (*.f64 z z) 1)))
10.0ms	(/.f64 (cbrt.f64 (/.f64 1 x)) (+.f64 (*.f64 z z) 1))
2.0ms	(cbrt.f64 (/.f64 1 x))
2.0ms	(cbrt.f64 (/.f64 1 x))

Compiler

Compiled 7793 to 5374 computations (31% saved)

series724.0ms (8.4%)

Error

5.0b

Counts

4 → 38

Calls

4 calls:

275.0ms	(/.f64 (cbrt.f64 (/.f64 1 x)) (+.f64 (*.f64 z z) 1))
259.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))) y) (/.f64 (cbrt.f64 (/.f64 1 x)) (+.f64 (*.f64 z z) 1)))
77.0ms	(cbrt.f64 (/.f64 1 x))
67.0ms	(cbrt.f64 (/.f64 1 x))

Compiler

Compiled 2258 to 1844 computations (18.3% saved)

simplify125.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

259 → 259

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4947	6647
1	4947	6647

prune406.0ms (4.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	257	2	259
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	258	8	266

Error

5.0b

Counts

266 → 8

Compiler

Compiled 7637 to 5018 computations (34.3% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (/.f64 1 x))
0.7b	(cbrt.f64 x)
1.4b	(.f64 (+.f64 1 (.f64 z z)) (cbrt.f64 x))
4.2b	(.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))) y) (/.f64 (cbrt.f64 1) (.f64 (+.f64 1 (.f64 z z)) (cbrt.f64 x))))

rewrite223.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

5.0b

Rules

42×	`add-exp-log_binary64_12392`
28×	`add-sqr-sqrt_binary64_12376`
26×	`add-cbrt-cube_binary64_12390`
23×	`cbrt-prod_binary64_12385`
20×	`add-cube-cbrt_binary64_12389` `*-un-lft-identity_binary64_12354`
19×	`times-frac_binary64_12360`
18×	`associate-r_binary64_12294`
16×	`prod-exp_binary64_12403` `cbrt-unprod_binary64_12387`
12×	`div-exp_binary64_12405` `cbrt-undiv_binary64_12388`
10×	`associate-l_binary64_12295`
8×	`pow1_binary64_12415`
5×	`associate-*l/_binary64_12297`
4×	`add-log-exp_binary64_12393` `unswap-sqr_binary64_12322`
3×	`div-inv_binary64_12351`
2×	`pow-prod-down_binary64_12425` `flip3-+_binary64_12357` `associate-/r/_binary64_12300` `flip-+_binary64_12328` `*-commutative_binary64_12285` `pow1/3_binary64_12436`
1×	`frac-times_binary64_12364` `associate-*r/_binary64_12296` `cbrt-div_binary64_12386`

Counts

4 → 108

Calls

4 calls:

24.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))) y) (/.f64 (cbrt.f64 1) (.f64 (+.f64 1 (.f64 z z)) (cbrt.f64 x))))
7.0ms	(.f64 (+.f64 1 (.f64 z z)) (cbrt.f64 x))
2.0ms	(cbrt.f64 (/.f64 1 x))
1.0ms	(cbrt.f64 x)

Compiler

Compiled 3584 to 2338 computations (34.8% saved)

series680.0ms (7.9%)

Error

5.0b

Counts

4 → 33

Calls

4 calls:

255.0ms	(.f64 (+.f64 1 (.f64 z z)) (cbrt.f64 x))
243.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))) y) (/.f64 (cbrt.f64 1) (.f64 (+.f64 1 (.f64 z z)) (cbrt.f64 x))))
76.0ms	(cbrt.f64 x)
74.0ms	(cbrt.f64 (/.f64 1 x))

Compiler

Compiled 1772 to 1439 computations (18.8% saved)

simplify109.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4948	2850
1	4948	2850

prune190.0ms (2.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	140	1	141
Fresh	2	3	5
Picked	0	1	1
Done	0	2	2
Total	142	7	149

Error

5.0b

Counts

149 → 7

Compiler

Compiled 3659 to 2377 computations (35% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (/.f64 1 x))
0.5b	(cbrt.f64 (/.f64 1 x))
1.2b	(.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 1 (+.f64 1 (.f64 z z))))
4.2b	(.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))) y) (.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 1 (+.f64 1 (.f64 z z)))))

rewrite363.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

5.0b

Rules

73×	`add-exp-log_binary64_12392`
66×	`add-sqr-sqrt_binary64_12376`
53×	`times-frac_binary64_12360`
48×	`cbrt-prod_binary64_12385`
42×	`*-un-lft-identity_binary64_12354`
36×	`prod-exp_binary64_12403`
35×	`add-cube-cbrt_binary64_12389`
31×	`add-cbrt-cube_binary64_12390`
23×	`associate-l_binary64_12295`
20×	`cbrt-unprod_binary64_12387`
18×	`div-exp_binary64_12405`
16×	`associate-r_binary64_12294`
12×	`unswap-sqr_binary64_12322`
11×	`pow1_binary64_12415`
10×	`cbrt-undiv_binary64_12388`
8×	`cbrt-div_binary64_12386`
7×	`frac-times_binary64_12364` `associate-*r/_binary64_12296`
5×	`div-inv_binary64_12351`
4×	`pow-prod-down_binary64_12425` `1-exp_binary64_12398` `rec-exp_binary64_12404` `add-log-exp_binary64_12393` `associate-*l/_binary64_12297`
3×	`un-div-inv_binary64_12352`
2×	`*-commutative_binary64_12285` `associate-/r/_binary64_12300` `pow1/3_binary64_12436`
1×	`flip3-+_binary64_12357` `flip-+_binary64_12328`

Counts

4 → 157

Calls

4 calls:

20.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))) y) (.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 1 (+.f64 1 (.f64 z z)))))
15.0ms	(.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 1 (+.f64 1 (.f64 z z))))
2.0ms	(cbrt.f64 (/.f64 1 x))
2.0ms	(cbrt.f64 (/.f64 1 x))

Compiler

Compiled 5332 to 3814 computations (28.5% saved)

series724.0ms (8.4%)

Error

5.0b

Counts

4 → 38

Calls

4 calls:

281.0ms	(.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 1 (+.f64 1 (.f64 z z))))
251.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))) y) (.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 1 (+.f64 1 (.f64 z z)))))
75.0ms	(cbrt.f64 (/.f64 1 x))
73.0ms	(cbrt.f64 (/.f64 1 x))

Compiler

Compiled 2294 to 1880 computations (18% saved)

simplify106.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4952	3600
1	4952	3600

prune258.0ms (3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	195	7	202

Error

5.0b

Counts

202 → 7

Compiler

Compiled 4907 to 3143 computations (35.9% saved)

regimes986.0ms (11.4%)

Accuracy

Total 1.8b remaining (27.1%)

Threshold costs 0b (0%)

Compiler

Compiled 11354 to 9433 computations (16.9% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	36
1	20	36

Compiler

Compiled 46 to 40 computations (13% saved)

end0.0ms (0%)

sample2.2s (25.5%)

Algorithm

1×

intervals

Results

280.0ms	8000×	body	128	valid
15.0ms	434×	body	128	invalid

Compiler

Compiled 1354 to 1121 computations (17.2% saved)

Details

analyze384.0ms (4.4%)

sample25.0ms (0.3%)

simplify9.0ms (0.1%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite114.0ms (1.3%)

series302.0ms (3.5%)

simplify72.0ms (0.8%)

prune95.0ms (1.1%)

localize11.0ms (0.1%)

rewrite505.0ms (5.8%)

series724.0ms (8.4%)

simplify125.0ms (1.4%)

prune406.0ms (4.7%)

localize14.0ms (0.2%)

rewrite223.0ms (2.6%)

series680.0ms (7.9%)

simplify109.0ms (1.3%)

prune190.0ms (2.2%)

localize12.0ms (0.1%)

rewrite363.0ms (4.2%)

series724.0ms (8.4%)

simplify106.0ms (1.2%)

prune258.0ms (3%)

regimes986.0ms (11.4%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

end0.0ms (0%)

sample2.2s (25.5%)

Profiling