Details

sample35.0ms

Algorithm

intervals

Results

13.0ms

275×

body

valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5081	17

prune5.0ms

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: 25.8b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.0b	(* z (- b y))
1.6b	(+ (* x y) (* z (- t a)))
25.0b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

7.0ms	(* z (- t a))
6.0ms	(* z (- b y))
7.0ms	(+ (* x y) (* z (- t a)))
7.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series118.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* z (- t a))
7.0ms	(* z (- b y))
13.0ms	(+ (* x y) (* z (- t a)))
91.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify39.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4998	1348
1	4998	1348

prune169.0ms

Filtered

74 candidates to 110 candidates (-48.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	99	11	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	11	111

Merged error: 25.1b

Counts

111 → 11

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.4b	(/ 1 (+ y (* z (- b y))))
1.6b	(+ (* x y) (* z (- t a)))
24.7b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

6.0ms	(* z (- b y))
4.0ms	(/ 1 (+ y (* z (- b y))))
4.0ms	(+ (* x y) (* z (- t a)))
10.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series126.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* z (- b y))
16.0ms	(/ 1 (+ y (* z (- b y))))
13.0ms	(+ (* x y) (* z (- t a)))
89.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify52.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5790	1692

prune147.0ms

Filtered

79 candidates to 128 candidates (-62.0%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	128	11	139

Merged error: 25.1b

Counts

139 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* z (- b y)))
0.4b	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
1.6b	(+ (* x y) (* z (- t a)))
24.9b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
56×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`associate-/r*`
17×	`add-exp-log`
11×	`associate-/r/` `add-cbrt-cube`
8×	`associate-+r+` `flip3-+` `div-exp` `flip-+` `add-log-exp`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in`
2×	`+-commutative` `rec-exp` `frac-2neg` `1-exp` `clear-num` `sum-log` `associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

4 → 145

Calls

4 calls:

3.0ms	(+ y (* z (- b y)))
9.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
4.0ms	(+ (* x y) (* z (- t a)))
7.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series250.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ y (* z (- b y)))
163.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
13.0ms	(+ (* x y) (* z (- t a)))
68.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify55.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5897	3643

prune172.0ms

Filtered

107 candidates to 157 candidates (-46.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	156	1	157
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	157	11	168

Merged error: 25.1b

Counts

168 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1 (* (+ y (* z (- b y))) (/ 1 (+ (* y x) (* z (- t a))))))
0.7b	(/ 1 (+ (* y x) (* z (- t a))))
1.6b	(+ (* y x) (* z (- t a)))
24.6b	(* (+ y (* z (- b y))) (/ 1 (+ (* y x) (* z (- t a)))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-exp-log`
29×	`add-sqr-sqrt`
23×	`*-un-lft-identity` `times-frac`
22×	`add-cube-cbrt`
20×	`div-exp` `add-cbrt-cube`
16×	`prod-exp`
15×	`associate-r`
10×	`pow1` `rec-exp` `1-exp` `associate-/r/`
7×	`flip3-+` `flip-+`
6×	`cbrt-undiv` `associate-/l*` `add-log-exp`
4×	`frac-times` `associate-+r+` `associate-l/` `associate-/r` `cbrt-unprod`
3×	`pow-flip` `associate-l` `div-inv` `unswap-sqr`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `associate-*r/` `pow-prod-down` `clear-num` `un-div-inv` `inv-pow`
1×	`+-commutative` `sum-log` `*-commutative`

Counts

4 → 134

Calls

4 calls:

10.0ms	(/ 1 (* (+ y (* z (- b y))) (/ 1 (+ (* y x) (* z (- t a))))))
5.0ms	(/ 1 (+ (* y x) (* z (- t a))))
4.0ms	(+ (* y x) (* z (- t a)))
11.0ms	(* (+ y (* z (- b y))) (/ 1 (+ (* y x) (* z (- t a)))))

series258.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(/ 1 (* (+ y (* z (- b y))) (/ 1 (+ (* y x) (* z (- t a))))))
21.0ms	(/ 1 (+ (* y x) (* z (- t a))))
13.0ms	(+ (* y x) (* z (- t a)))
65.0ms	(* (+ y (* z (- b y))) (/ 1 (+ (* y x) (* z (- t a)))))

simplify58.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5740	2323

prune106.0ms

Filtered

84 candidates to 146 candidates (-73.8%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	146	11	157

Merged error: 25.1b

Counts

157 → 11

regimes918.0ms

Accuracy

0% (0.7b remaining)

Error of 23.5b against oracle of 22.8b and baseline of 23.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	19
1	23	19

end0.0ms

sample944.0ms

Algorithm

intervals

Results

416.0ms

8442×

body

valid

Details

sample35.0ms

simplify60.0ms

prune5.0ms

localize12.0ms

rewrite29.0ms

series118.0ms

simplify39.0ms

prune169.0ms

localize17.0ms

rewrite28.0ms

series126.0ms

simplify52.0ms

prune147.0ms

localize13.0ms

rewrite28.0ms

series250.0ms

simplify55.0ms

prune172.0ms

localize14.0ms

rewrite34.0ms

series258.0ms

simplify58.0ms

prune106.0ms

regimes918.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample944.0ms

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