Details

sample33.0ms

Algorithm

intervals

Results

11.0ms	277×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	305	13
1	305	13

prune11.0ms

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

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite38.0ms

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:

12.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
8.0ms	(/ (- x y) (- z t))
14.0ms	(* 60.0 (/ (- x y) (- z t)))

series59.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
12.0ms	(/ (- x y) (- z t))
15.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify55.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5370	1410

prune141.0ms

Filtered

82 candidates to 122 candidates (-48.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	116	6	122
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	116	8	124

Merged error: 0.0b

Counts

124 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (sqrt 60.0) (* (/ (- x y) (- z t)) (sqrt 60.0))) (* a 120.0))
0.0b	(/ (- x y) (- z t))
0.2b	(* (/ (- x y) (- z t)) (sqrt 60.0))
0.3b	(* (sqrt 60.0) (* (/ (- x y) (- z t)) (sqrt 60.0)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

85×	`add-sqr-sqrt`
75×	`*-un-lft-identity`
52×	`times-frac`
37×	`associate-l`
31×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
20×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
8×	`sqrt-prod`
7×	`associate-r` `prod-exp` `cbrt-unprod`
6×	`add-log-exp`
5×	`associate-/r` `associate-/l`
4×	`pow-prod-down` `associate-/r/` `unswap-sqr`
3×	`cbrt-undiv` `flip3--` `div-exp` `flip--`
2×	`associate-l/` `-commutative` `div-inv` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-*r/` `clear-num` `sum-log` `flip-+`

Counts

4 → 142

Calls

4 calls:

13.0ms	(+ (* (sqrt 60.0) (* (/ (- x y) (- z t)) (sqrt 60.0))) (* a 120.0))
8.0ms	(/ (- x y) (- z t))
14.0ms	(* (/ (- x y) (- z t)) (sqrt 60.0))
15.0ms	(* (sqrt 60.0) (* (/ (- x y) (- z t)) (sqrt 60.0)))

series107.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ (* (sqrt 60.0) (* (/ (- x y) (- z t)) (sqrt 60.0))) (* a 120.0))
12.0ms	(/ (- x y) (- z t))
21.0ms	(* (/ (- x y) (- z t)) (sqrt 60.0))
26.0ms	(* (sqrt 60.0) (* (/ (- x y) (- z t)) (sqrt 60.0)))

simplify56.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5349	1808

prune184.0ms

Filtered

101 candidates to 154 candidates (-52.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	154	8	162

Merged error: 0.0b

Counts

162 → 8

localize9.0ms

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))
0.7b	(/ (* 60.0 (- x y)) (- z t))

rewrite28.0ms

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` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 66

Calls

3 calls:

6.0ms	(* 60.0 (- x y))
11.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
9.0ms	(/ (* 60.0 (- x y)) (- z t))

series54.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(* 60.0 (- x y))
35.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
15.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify52.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5427	746

prune93.0ms

Filtered

50 candidates to 75 candidates (-50.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	2	3	5
Picked	1	0	1
Done	0	2	2
Total	76	7	83

Merged error: 0.0b

Counts

83 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite60.0ms

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:

7.0ms	(/ (- z t) (- x y))
27.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
12.0ms	(/ 60.0 (/ (- z t) (- x y)))

series83.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(/ (- z t) (- x y))
33.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
37.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify70.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5034	3397

prune186.0ms

Filtered

144 candidates to 214 candidates (-48.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

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

Merged error: 0.0b

Counts

221 → 7

regimes674.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	13
1	16	13

end0.0ms

sample805.0ms

Algorithm

intervals

Results

337.0ms	8571×	body	80	valid
9.0ms	48×	body	1280	valid
7.0ms	49×	body	640	valid
4.0ms	18×	body	2560	valid
2.0ms	22×	body	320	valid
1.0ms	7×	body	160	valid

Details

sample33.0ms

simplify9.0ms

prune11.0ms

localize9.0ms

rewrite38.0ms

series59.0ms

simplify55.0ms

prune141.0ms

localize11.0ms

rewrite55.0ms

series107.0ms

simplify56.0ms

prune184.0ms

localize9.0ms

rewrite28.0ms

series54.0ms

simplify52.0ms

prune93.0ms

localize10.0ms

rewrite60.0ms

series83.0ms

simplify70.0ms

prune186.0ms

regimes674.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample805.0ms

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