Details

analyze163.0ms (10.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	20
1	33	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
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
67.1%	32.8%	0.1%	7
71%	28.9%	0.1%	8
82.3%	17.6%	0.1%	9
84.9%	15%	0.1%	10
90.8%	9.1%	0.1%	11
92.2%	7.7%	0.1%	12
95.3%	4.6%	0.1%	13
96%	3.9%	0.1%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample13.0ms (0.8%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify11.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	20	10
1	20	10

prune2.0ms (0.1%)

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

8.8b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

8.3b	(/.f64 (*.f64 x y) (+.f64 y 1))

rewrite8.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64_14741`
6×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
4×	`associate-/r*_binary64_14685` `times-frac_binary64_14747`
3×	`add-sqr-sqrt_binary64_14763` `add-cube-cbrt_binary64_14776`
2×	`cbrt-undiv_binary64_14775` `associate-/r/_binary64_14687` `div-exp_binary64_14792` `distribute-lft-out_binary64_14692`
1×	`frac-2neg_binary64_14752` `div-inv_binary64_14738` `cbrt-unprod_binary64_14774` `add-log-exp_binary64_14780` `associate-/l*_binary64_14686` `prod-exp_binary64_14790` `flip-+_binary64_14715` `clear-num_binary64_14740` `flip3-+_binary64_14744` `pow1_binary64_14802`

Counts

1 → 25

Calls

1 calls:

7.0ms

(/.f64 (*.f64 x y) (+.f64 y 1))

series33.0ms (2%)

Counts

1 → 3

Calls

1 calls:

33.0ms

(/.f64 (*.f64 x y) (+.f64 y 1))

simplify72.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5519	354

prune29.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	26	2	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	3	29

Error

Counts

29 → 3

Compiler

Compiled 340 to 201 computations (40.9% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 y (+.f64 y 1))
0.0b	(*.f64 x (/.f64 y (+.f64 y 1)))

rewrite21.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64_14741`
25×	`times-frac_binary64_14747` `add-sqr-sqrt_binary64_14763`
20×	`add-cube-cbrt_binary64_14776`
18×	`associate-r_binary64_14681`
9×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
7×	`distribute-lft-out_binary64_14692`
4×	`associate-/r*_binary64_14685` `associate-/r/_binary64_14687` `pow1_binary64_14802`
3×	`associate-/l_binary64_14686` `associate-l*_binary64_14682`
2×	`unswap-sqr_binary64_14709` `div-inv_binary64_14738` `cbrt-undiv_binary64_14775` `cbrt-unprod_binary64_14774` `add-log-exp_binary64_14780` `div-exp_binary64_14792` `prod-exp_binary64_14790` `flip-+_binary64_14715` `flip3-+_binary64_14744`
1×	`frac-2neg_binary64_14752` `pow-prod-down_binary64_14812` `associate-r/_binary64_14683` `-commutative_binary64_14672` `clear-num_binary64_14740`

Counts

2 → 70

Calls

2 calls:

11.0ms	(*.f64 x (/.f64 y (+.f64 y 1)))
5.0ms	(/.f64 y (+.f64 y 1))

series46.0ms (2.8%)

Counts

2 → 6

Calls

2 calls:

32.0ms	(*.f64 x (/.f64 y (+.f64 y 1)))
13.0ms	(/.f64 y (+.f64 y 1))

simplify78.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5467	980

prune53.0ms (3.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	76	3	79

Error

Counts

79 → 3

Compiler

Compiled 1006 to 600 computations (40.4% saved)

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (+.f64 y 1))
0.3b	(cbrt.f64 (+.f64 y 1))
0.3b	(cbrt.f64 (+.f64 y 1))
4.2b	(.f64 (/.f64 x (.f64 (cbrt.f64 (+.f64 y 1)) (cbrt.f64 (+.f64 y 1)))) (/.f64 y (cbrt.f64 (+.f64 y 1))))

rewrite54.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`add-sqr-sqrt_binary64_14763`
35×	`*-un-lft-identity_binary64_14741`
31×	`times-frac_binary64_14747`
27×	`associate-r_binary64_14681`
26×	`cbrt-prod_binary64_14772`
25×	`add-exp-log_binary64_14779`
23×	`add-cube-cbrt_binary64_14776`
20×	`cbrt-div_binary64_14773`
18×	`add-cbrt-cube_binary64_14777`
15×	`associate-l_binary64_14682`
10×	`associate-/r/_binary64_14687` `flip-+_binary64_14715` `flip3-+_binary64_14744`
8×	`cbrt-unprod_binary64_14774` `prod-exp_binary64_14790`
7×	`cbrt-undiv_binary64_14775` `div-exp_binary64_14792`
6×	`unswap-sqr_binary64_14709` `distribute-lft-out_binary64_14692` `pow1_binary64_14802`
5×	`frac-times_binary64_14751`
4×	`add-log-exp_binary64_14780`
3×	`pow1/3_binary64_14823` `associate-r/_binary64_14683` `associate-l/_binary64_14684`
2×	`div-inv_binary64_14738`
1×	`pow-prod-down_binary64_14812` `*-commutative_binary64_14672`

Counts

4 → 114

Calls

4 calls:

32.0ms	(.f64 (/.f64 x (.f64 (cbrt.f64 (+.f64 y 1)) (cbrt.f64 (+.f64 y 1)))) (/.f64 y (cbrt.f64 (+.f64 y 1))))
3.0ms	(cbrt.f64 (+.f64 y 1))
3.0ms	(cbrt.f64 (+.f64 y 1))
3.0ms	(cbrt.f64 (+.f64 y 1))

series110.0ms (6.8%)

Counts

4 → 12

Calls

4 calls:

36.0ms	(.f64 (/.f64 x (.f64 (cbrt.f64 (+.f64 y 1)) (cbrt.f64 (+.f64 y 1)))) (/.f64 y (cbrt.f64 (+.f64 y 1))))
26.0ms	(cbrt.f64 (+.f64 y 1))
24.0ms	(cbrt.f64 (+.f64 y 1))
23.0ms	(cbrt.f64 (+.f64 y 1))

simplify118.0ms (7.3%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4918	2329
1	4918	2329

prune149.0ms (9.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	126	3	129

Error

Counts

129 → 3

Compiler

Compiled 2834 to 2018 computations (28.8% saved)

regimes68.0ms (4.2%)

Accuracy

Total 0.0b remaining (92.5%)

Threshold costs 0.0b (92.5%)

Compiler

Compiled 466 to 367 computations (21.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end0.0ms (0%)

sample560.0ms (34.8%)

Algorithm

1×

intervals

Results

209.0ms

8000×

body

128

valid

Compiler

Compiled 180 to 132 computations (26.7% saved)

Details

analyze163.0ms (10.1%)

sample13.0ms (0.8%)

simplify11.0ms (0.7%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

rewrite8.0ms (0.5%)

series33.0ms (2%)

simplify72.0ms (4.5%)

prune29.0ms (1.8%)

localize5.0ms (0.3%)

rewrite21.0ms (1.3%)

series46.0ms (2.8%)

simplify78.0ms (4.9%)

prune53.0ms (3.3%)

localize9.0ms (0.5%)

rewrite54.0ms (3.3%)

series110.0ms (6.8%)

simplify118.0ms (7.3%)

prune149.0ms (9.3%)

regimes68.0ms (4.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample560.0ms (34.8%)

Profiling