Details

analyze236.0ms (4.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	412	20
1	412	20
0	2	2
1	2	2

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
50%	50%	0.1%	4
50%	50%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
87.4%	12.5%	0.1%	8
87.4%	12.5%	0.1%	9
93.7%	6.2%	0.1%	10
93.7%	6.2%	0.1%	11
96.8%	3.1%	0.1%	12
96.8%	3.1%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample18.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms	244×	body	128	valid
0.0ms	5×	body	512	valid
0.0ms	3×	body	2048	valid
0.0ms	2×	body	256	valid
0.0ms	2×	body	1024	valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify19.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	310	10
1	310	10

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

0.1b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 x y) 2))

rewrite26.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64_17849` `*-un-lft-identity_binary64_17810`
1×	`sum-log_binary64_17901` `pow1_binary64_17871` `add-exp-log_binary64_17848` `add-cbrt-cube_binary64_17846` `add-cube-cbrt_binary64_17845` `add-sqr-sqrt_binary64_17832` `flip3-+_binary64_17813` `flip-+_binary64_17784` `distribute-lft-out_binary64_17761` `div-sub_binary64_17815` `associate-+r-_binary64_17744` `+-commutative_binary64_17740`

Counts

1 → 13

Calls

1 calls:

10.0ms

(+.f64 x (/.f64 (-.f64 x y) 2))

Compiler

Compiled 196 to 107 computations (45.4% saved)

series97.0ms (1.8%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

84.0ms

(+.f64 x (/.f64 (-.f64 x y) 2))

Compiler

Compiled 162 to 152 computations (6.2% saved)

simplify62.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5187	282

prune24.0ms (0.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	21	4	25
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	22	4	26

Error

0.0b

Counts

26 → 4

Compiler

Compiled 304 to 185 computations (39.1% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 -1/2 y) (.f64 3/2 x))

rewrite14.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64_17849`
1×	`sum-log_binary64_17901` `pow1_binary64_17871` `add-exp-log_binary64_17848` `add-cbrt-cube_binary64_17846` `add-cube-cbrt_binary64_17845` `add-sqr-sqrt_binary64_17832` `flip3-+_binary64_17813` `*-un-lft-identity_binary64_17810` `flip-+_binary64_17784` `+-commutative_binary64_17740`

Counts

1 → 11

Calls

1 calls:

4.0ms

(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))

Compiler

Compiled 178 to 138 computations (22.5% saved)

series95.0ms (1.8%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

90.0ms

(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))

Compiler

Compiled 162 to 152 computations (6.2% saved)

simplify83.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5003	259

prune23.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	22	1	23
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	22	5	27

Error

0.0b

Counts

27 → 5

Compiler

Compiled 294 to 214 computations (27.2% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))) (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))

rewrite260.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

36×	`cbrt-prod_binary64_17841`
35×	`*-un-lft-identity_binary64_17810`
23×	`add-sqr-sqrt_binary64_17832`
18×	`cbrt-div_binary64_17842`
15×	`add-cube-cbrt_binary64_17845`
11×	`pow1_binary64_17871`
9×	`pow1/3_binary64_17892` `flip3-+_binary64_17813` `flip-+_binary64_17784` `distribute-lft-out_binary64_17761` `swap-sqr_binary64_17777`
7×	`associate-l_binary64_17751` `associate-r_binary64_17750`
6×	`add-exp-log_binary64_17848`
4×	`add-log-exp_binary64_17849` `add-cbrt-cube_binary64_17846` `frac-times_binary64_17820` `unswap-sqr_binary64_17778`
2×	`pow-prod-down_binary64_17881` `pow-prod-up_binary64_17880` `pow-sqr_binary64_17783` `associate-l/_binary64_17753` `associate-r/_binary64_17752`
1×	`pow2_binary64_17891` `pow-plus_binary64_17873` `prod-exp_binary64_17859` `cbrt-unprod_binary64_17843` `*-commutative_binary64_17741`

Counts

4 → 95

Calls

4 calls:

38.0ms	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))) (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
15.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
11.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
10.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))

Compiler

Compiled 3633 to 2059 computations (43.3% saved)

series696.0ms (13.2%)

Error

0.0b

Counts

4 → 43

Calls

4 calls:

215.0ms	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))) (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
135.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
134.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
132.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))

Compiler

Compiled 4166 to 3282 computations (21.2% saved)

simplify101.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4977	3084
1	4977	3084

prune267.0ms (5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	136	2	138
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	137	6	143

Error

0.0b

Counts

143 → 6

Compiler

Compiled 4481 to 2643 computations (41% saved)

localize28.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
0.5b	(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))))

rewrite453.0ms (8.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

82×	`cbrt-prod_binary64_17841`
39×	`*-un-lft-identity_binary64_17810`
37×	`add-sqr-sqrt_binary64_17832`
30×	`cbrt-div_binary64_17842`
19×	`add-cube-cbrt_binary64_17845`
12×	`swap-sqr_binary64_17777`
11×	`pow1_binary64_17871`
10×	`associate-l_binary64_17751` `associate-r_binary64_17750`
9×	`pow1/3_binary64_17892` `flip3-+_binary64_17813` `flip-+_binary64_17784` `unswap-sqr_binary64_17778` `distribute-lft-out_binary64_17761`
6×	`add-exp-log_binary64_17848`
4×	`add-log-exp_binary64_17849` `add-cbrt-cube_binary64_17846` `frac-times_binary64_17820`
2×	`pow-prod-down_binary64_17881` `pow-prod-up_binary64_17880` `pow-sqr_binary64_17783` `associate-l/_binary64_17753` `associate-r/_binary64_17752`
1×	`pow2_binary64_17891` `pow-plus_binary64_17873` `prod-exp_binary64_17859` `cbrt-unprod_binary64_17843` `*-commutative_binary64_17741`

Counts

4 → 109

Calls

4 calls:

40.0ms	(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))))
17.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
16.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
10.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))

Compiler

Compiled 6610 to 3908 computations (40.9% saved)

series829.0ms (15.7%)

Error

Counts

4 → 41

Calls

4 calls:

184.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
181.0ms	(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))))
174.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
163.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))

Compiler

Compiled 6236 to 4530 computations (27.4% saved)

simplify159.0ms (3%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	5117	3846

prune443.0ms (8.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	149	1	150
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	149	7	156

Error

Counts

156 → 7

Compiler

Compiled 8007 to 4781 computations (40.3% saved)

regimes250.0ms (4.7%)

Accuracy

Total 0.1b remaining (71.8%)

Threshold costs 0.1b (71.8%)

Compiler

Compiled 2347 to 1642 computations (30% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

end0.0ms (0%)

sample1.1s (20.5%)

Algorithm

1×

intervals

Results

181.0ms	7452×	body	128	valid
19.0ms	186×	body	1024	valid
16.0ms	164×	body	2048	valid
7.0ms	116×	body	512	valid
3.0ms	82×	body	256	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 650 to 462 computations (28.9% saved)

Details

analyze236.0ms (4.4%)

sample18.0ms (0.3%)

simplify19.0ms (0.4%)

prune2.0ms (0%)

localize4.0ms (0.1%)

rewrite26.0ms (0.5%)

series97.0ms (1.8%)

simplify62.0ms (1.2%)

prune24.0ms (0.4%)

localize5.0ms (0.1%)

rewrite14.0ms (0.3%)

series95.0ms (1.8%)

simplify83.0ms (1.6%)

prune23.0ms (0.4%)

localize11.0ms (0.2%)

rewrite260.0ms (4.9%)

series696.0ms (13.2%)

simplify101.0ms (1.9%)

prune267.0ms (5%)

localize28.0ms (0.5%)

rewrite453.0ms (8.6%)

series829.0ms (15.7%)

simplify159.0ms (3%)

prune443.0ms (8.4%)

regimes250.0ms (4.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.1s (20.5%)

Profiling