Details

analyze1.0s

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
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
7.8%	92%	0.2%	11
11.7%	88.1%	0.2%	12
17.9%	81.8%	0.2%	13
22.6%	77.2%	0.2%	14

sample25.0ms

Algorithm

intervals

Results

10.0ms	250×	body	80	valid
1.0ms	26×	body	80	invalid
1.0ms	4×	body	1280	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	640	valid

simplify92.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	5178	13

prune12.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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

Merged error: 0.1b

Counts

2 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 60.0 (- x y))
0.0b	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
0.2b	(/ (* 60.0 (- x y)) (- z t))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-r` `associate-/r*` `add-log-exp`
4×	`associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `sub-neg` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 64

Calls

3 calls:

6.0ms	(* 60.0 (- x y))
16.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
9.0ms	(/ (* 60.0 (- x y)) (- z t))

series53.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(* 60.0 (- x y))
33.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
16.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify40.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5472	730

prune108.0ms

Filtered

51 candidates to 73 candidates (-43.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	68	5	73
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	68	7	75

Merged error: 0.0b

Counts

75 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x y) (- z t))
0.0b	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
0.3b	(* 60.0 (/ (- x y) (- z t)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

7.0ms	(/ (- x y) (- z t))
10.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
15.0ms	(* 60.0 (/ (- x y) (- z t)))

series63.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(/ (- x y) (- z t))
35.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
15.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify53.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4982	1408
1	4982	1408

prune121.0ms

Filtered

82 candidates to 122 candidates (-48.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	122	7	129

Merged error: 0.0b

Counts

129 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
0.0b	(/ (- z t) (- x y))
0.4b	(/ 60.0 (/ (- z t) (- x y)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
195×	`add-sqr-sqrt` `*-un-lft-identity`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+`

Counts

3 → 205

Calls

3 calls:

31.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
7.0ms	(/ (- z t) (- x y))
11.0ms	(/ 60.0 (/ (- z t) (- x y)))

series88.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
16.0ms	(/ (- z t) (- x y))
39.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify46.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5143	3394

prune210.0ms

Filtered

145 candidates to 214 candidates (-47.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	213	1	214
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	214	7	221

Merged error: 0.0b

Counts

221 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ 60.0 (- z t)) (- x y)) (* a 120.0))
0.0b	(/ 60.0 (- z t))
0.2b	(* (/ 60.0 (- z t)) (- x y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-r` `associate-/r*` `add-log-exp`
4×	`sub-neg` `flip3--` `associate-/r/` `flip--`
3×	`associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-times` `associate-+l+` `distribute-lft-in` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 98

Calls

3 calls:

11.0ms	(+ (* (/ 60.0 (- z t)) (- x y)) (* a 120.0))
5.0ms	(/ 60.0 (- z t))
11.0ms	(* (/ 60.0 (- z t)) (- x y))

series78.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ (* (/ 60.0 (- z t)) (- x y)) (* a 120.0))
5.0ms	(/ 60.0 (- z t))
40.0ms	(* (/ 60.0 (- z t)) (- x y))

simplify41.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5130	1149

prune107.0ms

Filtered

78 candidates to 107 candidates (-37.2%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	107	7	114

Merged error: 0.0b

Counts

114 → 7

regimes849.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	13
1	34	13

end0.0ms

sample629.0ms

Algorithm

intervals

Results

320.0ms	7874×	body	80	valid
30.0ms	675×	body	80	invalid
13.0ms	50×	body	1280	valid
6.0ms	26×	body	2560	valid
5.0ms	31×	body	640	valid
2.0ms	14×	body	320	valid
0.0ms	5×	body	160	valid

Details

analyze1.0s

sample25.0ms

simplify92.0ms

prune12.0ms

localize10.0ms

rewrite32.0ms

series53.0ms

simplify40.0ms

prune108.0ms

localize9.0ms

rewrite37.0ms

series63.0ms

simplify53.0ms

prune121.0ms

localize10.0ms

rewrite61.0ms

series88.0ms

simplify46.0ms

prune210.0ms

localize9.0ms

rewrite31.0ms

series78.0ms

simplify41.0ms

prune107.0ms

regimes849.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample629.0ms

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