Details

analyze680.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
16.4%	83.4%	0.2%	9
21.4%	78.4%	0.2%	10
25.1%	74.7%	0.2%	11
28%	70.2%	1.9%	12
39.6%	55.8%	4.6%	13
43.9%	50.4%	5.8%	14

sample29.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	72×	body	80	invalid

simplify71.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	734	13
1	734	13

prune7.0ms

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

Merged error: 5.1b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
0.0b	(*.f64 (-.f64 y x) z)
5.1b	(/.f64 (*.f64 (-.f64 y x) z) t)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_5068` `add-sqr-sqrt_binary64_5053`
10×	`add-cbrt-cube_binary64_5040` `add-exp-log_binary64_5032`
7×	`add-cube-cbrt_binary64_5039`
5×	`add-log-exp_binary64_5033` `associate-l_binary64_5128` `pow1_binary64_5014`
4×	`associate-*l/_binary64_5130`
3×	`associate-/r_binary64_5131` `associate-r*_binary64_5127` `times-frac_binary64_5063`
2×	`associate-/l/_binary64_5134` `cbrt-undiv_binary64_5038` `prod-exp_binary64_5019` `flip3--_binary64_5067` `flip--_binary64_5094` `cbrt-unprod_binary64_5037` `div-exp_binary64_5021`
1×	`pow-prod-down_binary64_4995` `associate-/l_binary64_5132` `flip3-+_binary64_5066` `frac-2neg_binary64_5061` `flip-+_binary64_5093` `distribute-lft-out_binary64_5112` `clear-num_binary64_5071` `distribute-lft-out--_binary64_5113` `unswap-sqr_binary64_5096` `difference-of-squares_binary64_5097` `sum-log_binary64_4983` `div-inv_binary64_5069` `-commutative_binary64_5136` `+-commutative_binary64_5135`

Counts

3 → 57

Calls

3 calls:

5.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
6.0ms	(*.f64 (-.f64 y x) z)
7.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)

series125.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
30.0ms	(*.f64 (-.f64 y x) z)
53.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)

simplify84.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5169	824

prune259.0ms

Filtered

49 candidates to 66 candidates (-34.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	60	6	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	6	67

Merged error: 0.0b

Counts

67 → 6

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
6.4b	(/.f64 (-.f64 y x) (/.f64 t z))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac_binary64_5063`
88×	`*-un-lft-identity_binary64_5068`
86×	`add-sqr-sqrt_binary64_5053`
58×	`add-cube-cbrt_binary64_5039`
14×	`distribute-lft-out--_binary64_5113` `difference-of-squares_binary64_5097`
13×	`associate-/r*_binary64_5131`
7×	`add-cbrt-cube_binary64_5040` `add-exp-log_binary64_5032` `div-inv_binary64_5069`
5×	`associate-/l*_binary64_5132`
4×	`add-log-exp_binary64_5033`
3×	`cbrt-undiv_binary64_5038` `div-exp_binary64_5021`
2×	`associate-/l/_binary64_5134` `div-sub_binary64_5062` `pow1_binary64_5014`
1×	`flip3-+_binary64_5066` `frac-2neg_binary64_5061` `flip-+_binary64_5093` `distribute-lft-out_binary64_5112` `clear-num_binary64_5071` `associate-+r-_binary64_5121` `associate-/r/_binary64_5133` `flip3--_binary64_5067` `flip--_binary64_5094` `sum-log_binary64_4983` `+-commutative_binary64_5135`

Counts

2 → 114

Calls

2 calls:

18.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
9.0ms	(/.f64 (-.f64 y x) (/.f64 t z))

series99.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
55.0ms	(/.f64 (-.f64 y x) (/.f64 t z))

simplify82.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5850	2594

prune392.0ms

Filtered

89 candidates to 120 candidates (-34.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	118	8	126

Merged error: 0b

Counts

126 → 8

localize24.0ms

Local error

Found 4 expressions with local error:

6.2b	(*.f64 (/.f64 z t) (-.f64 y x))
7.1b	(cbrt.f64 (*.f64 (/.f64 z t) (-.f64 y x)))
7.1b	(cbrt.f64 (*.f64 (/.f64 z t) (-.f64 y x)))
7.1b	(cbrt.f64 (*.f64 (/.f64 z t) (-.f64 y x)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_5053`
15×	`cbrt-div_binary64_5036`
14×	`*-un-lft-identity_binary64_5068`
13×	`associate-l_binary64_5128`
12×	`add-cube-cbrt_binary64_5039`
10×	`times-frac_binary64_5063`
9×	`add-cbrt-cube_binary64_5040` `add-exp-log_binary64_5032`
8×	`flip3--_binary64_5067` `frac-times_binary64_5060` `associate-*r/_binary64_5129` `flip--_binary64_5094`
6×	`pow1_binary64_5014`
5×	`associate-r_binary64_5127`
4×	`associate-*l/_binary64_5130` `add-log-exp_binary64_5033`
3×	`cbrt-prod_binary64_5035` `pow1/3_binary64_5006`
2×	`prod-exp_binary64_5019` `unswap-sqr_binary64_5096` `cbrt-unprod_binary64_5037` `sub-neg_binary64_5072`
1×	`pow-prod-down_binary64_4995` `cbrt-undiv_binary64_5038` `distribute-lft-in_binary64_5110` `distribute-lft-out--_binary64_5113` `difference-of-squares_binary64_5097` `distribute-rgt-in_binary64_5111` `div-exp_binary64_5021` `div-inv_binary64_5069` `*-commutative_binary64_5136`

Counts

4 → 82

Calls

4 calls:

9.0ms	(*.f64 (/.f64 z t) (-.f64 y x))
6.0ms	(cbrt.f64 (*.f64 (/.f64 z t) (-.f64 y x)))
6.0ms	(cbrt.f64 (*.f64 (/.f64 z t) (-.f64 y x)))
8.0ms	(cbrt.f64 (*.f64 (/.f64 z t) (-.f64 y x)))

series507.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(*.f64 (/.f64 z t) (-.f64 y x))
146.0ms	(cbrt.f64 (*.f64 (/.f64 z t) (-.f64 y x)))
147.0ms	(cbrt.f64 (*.f64 (/.f64 z t) (-.f64 y x)))
155.0ms	(cbrt.f64 (*.f64 (/.f64 z t) (-.f64 y x)))

simplify88.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5124	1520

prune378.0ms

Filtered

79 candidates to 94 candidates (-19.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	94	8	102

Merged error: 0b

Counts

102 → 8

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) z) (/.f64 1 t)))
0.0b	(*.f64 (-.f64 y x) z)
5.2b	(.f64 (.f64 (-.f64 y x) z) (/.f64 1 t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log_binary64_5032`
17×	`add-cbrt-cube_binary64_5040`
16×	`associate-r_binary64_5127` `add-sqr-sqrt_binary64_5053`
14×	`*-un-lft-identity_binary64_5068`
12×	`add-cube-cbrt_binary64_5039`
10×	`pow1_binary64_5014` `prod-exp_binary64_5019`
9×	`times-frac_binary64_5063`
8×	`associate-*l/_binary64_5130`
7×	`cbrt-unprod_binary64_5037`
6×	`associate-l_binary64_5128`
5×	`add-log-exp_binary64_5033`
4×	`pow-prod-down_binary64_4995`
3×	`flip3--_binary64_5067` `flip--_binary64_5094`
2×	`cbrt-undiv_binary64_5038` `rec-exp_binary64_5020` `frac-times_binary64_5060` `div-exp_binary64_5021` `*-commutative_binary64_5136`
1×	`flip3-+_binary64_5066` `flip-+_binary64_5093` `un-div-inv_binary64_5070` `distribute-lft-out--_binary64_5113` `unswap-sqr_binary64_5096` `difference-of-squares_binary64_5097` `associate-*r/_binary64_5129` `sum-log_binary64_4983` `div-inv_binary64_5069` `+-commutative_binary64_5135`

Counts

3 → 73

Calls

3 calls:

4.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) z) (/.f64 1 t)))
6.0ms	(*.f64 (-.f64 y x) z)
10.0ms	(.f64 (.f64 (-.f64 y x) z) (/.f64 1 t))

series140.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) z) (/.f64 1 t)))
48.0ms	(*.f64 (-.f64 y x) z)
56.0ms	(.f64 (.f64 (-.f64 y x) z) (/.f64 1 t))

simplify81.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5118	1057

prune222.0ms

Filtered

54 candidates to 82 candidates (-51.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	82	8	90

Merged error: 0b

Counts

90 → 8

regimes505.0ms

Accuracy

-12.7% (2.1b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 1.9b

bsearch54.0ms

Steps

Iters	Range	Point
10	7646255316933335/833501804109981784259981473840157224643094790289488520049532226470504654727204008940179025108944286342866238824179155055736100206764920635045419506541353755761894697439251819807884785738976753091120627016985825247711343504684557661395484672	5958565076552079/2961193260766427870080908753323559866441509279473679754522422863056280045864824078237301652581494289303756200212728639995902214134435299666298460531313288000496778442422580538845568248046109094286466596972878396512780851085312	1.793191128596424e-213
6	-8932871536278037/85070591730234615865843651857942052864	-7938177882046099/340282366920938463463374607431768211456	-2.4476369137687332e-23

Iters

Range

Point

7646255316933335/833501804109981784259981473840157224643094790289488520049532226470504654727204008940179025108944286342866238824179155055736100206764920635045419506541353755761894697439251819807884785738976753091120627016985825247711343504684557661395484672

5958565076552079/2961193260766427870080908753323559866441509279473679754522422863056280045864824078237301652581494289303756200212728639995902214134435299666298460531313288000496778442422580538845568248046109094286466596972878396512780851085312

1.793191128596424e-213

-8932871536278037/85070591730234615865843651857942052864

-7938177882046099/340282366920938463463374607431768211456

-2.4476369137687332e-23

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	43
1	38	43

end0.0ms

sample677.0ms

Algorithm

intervals

Results

264.0ms	8000×	body	80	valid
68.0ms	2047×	body	80	invalid

Details

analyze680.0ms

sample29.0ms

simplify71.0ms

prune7.0ms

localize10.0ms

rewrite19.0ms

series125.0ms

simplify84.0ms

prune259.0ms

localize11.0ms

rewrite33.0ms

series99.0ms

simplify82.0ms

prune392.0ms

localize24.0ms

rewrite33.0ms

series507.0ms

simplify88.0ms

prune378.0ms

localize12.0ms

rewrite23.0ms

series140.0ms

simplify81.0ms

prune222.0ms

regimes505.0ms

bsearch54.0ms

simplify3.0ms

end0.0ms

sample677.0ms

Profiling