Details

sample39.0ms

Algorithm

intervals

Results

15.0ms

277×

body

valid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (51.0ms)

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: 25.1b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.0b	(* z (- t a))
0.5b	(+ (* x y) (* z (- t a)))
24.5b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite35.0ms

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 (- b y))
11.0ms	(* z (- t a))
5.0ms	(+ (* x y) (* z (- t a)))
9.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series137.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* z (- b y))
8.0ms	(* z (- t a))
15.0ms	(+ (* x y) (* z (- t a)))
106.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify34.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5126	1348

prune165.0ms

Filtered

74 candidates to 110 candidates (-48.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	100	10	110
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	100	11	111

Merged error: 24.5b

Counts

111 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.2b	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
0.5b	(+ (* x y) (* z (- t a)))
24.5b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 156

Calls

4 calls:

8.0ms	(* z (- t a))
10.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
5.0ms	(+ (* x y) (* z (- t a)))
8.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series300.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* z (- t a))
195.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
16.0ms	(+ (* x y) (* z (- t a)))
78.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify62.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5639	3664

prune192.0ms

Filtered

112 candidates to 168 candidates (-50.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	166	2	168
Fresh	2	7	9
Picked	1	0	1
Done	0	1	1
Total	169	10	179

Merged error: 24.5b

Counts

179 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.5b	(+ (* x y) (* z (- t a)))
1.2b	(/ 1 (+ y (* z (- b y))))
23.8b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite33.0ms

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:

7.0ms	(* z (- t a))
5.0ms	(+ (* x y) (* z (- t a)))
5.0ms	(/ 1 (+ y (* z (- b y))))
12.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series152.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* z (- t a))
15.0ms	(+ (* x y) (* z (- t a)))
20.0ms	(/ 1 (+ y (* z (- b y))))
107.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify46.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5592	1692

prune146.0ms

Filtered

78 candidates to 128 candidates (-64.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	128	10	138

Merged error: 24.5b

Counts

138 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (* x y) (* z (- t a)))
1.0b	(/ 1 (+ (* x y) (* z (- t a))))
1.2b	(/ 1 (+ y (* z (- b y))))
22.9b	(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

531×	`times-frac`
244×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
69×	`associate-/r/`
52×	`add-exp-log`
36×	`div-exp`
35×	`flip3-+` `flip-+` `div-inv`
21×	`associate-/r` `associate-/l`
20×	`add-cbrt-cube`
10×	`cbrt-undiv` `rec-exp` `1-exp`
6×	`pow1` `add-log-exp`
4×	`associate-+r+`
3×	`frac-2neg` `clear-num`
2×	`distribute-rgt-in` `sub-neg` `pow-flip` `distribute-lft-in` `inv-pow`
1×	`+-commutative` `sum-log` `associate-/l/`

Counts

4 → 368

Calls

4 calls:

5.0ms	(+ (* x y) (* z (- t a)))
6.0ms	(/ 1 (+ (* x y) (* z (- t a))))
5.0ms	(/ 1 (+ y (* z (- b y))))
18.0ms	(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

series255.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(+ (* x y) (* z (- t a)))
23.0ms	(/ 1 (+ (* x y) (* z (- t a))))
19.0ms	(/ 1 (+ y (* z (- b y))))
197.0ms	(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

simplify110.0ms

Algorithm

egg-herbie

Counts

380 → 380

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5098	12265

prune339.0ms

Filtered

193 candidates to 380 candidates (-96.9%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	380	0	380
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	380	10	390

Merged error: 24.5b

Counts

390 → 10

regimes841.0ms

Accuracy

0% (0.6b remaining)

Error of 23.7b against oracle of 23.1b and baseline of 23.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	17
1	19	17

end0.0ms

sample1.1s

Algorithm

intervals

Results

464.0ms

8384×

body

valid

Details

sample39.0ms

simplify53.0ms

prune5.0ms

localize13.0ms

rewrite35.0ms

series137.0ms

simplify34.0ms

prune165.0ms

localize14.0ms

rewrite37.0ms

series300.0ms

simplify62.0ms

prune192.0ms

localize17.0ms

rewrite33.0ms

series152.0ms

simplify46.0ms

prune146.0ms

localize15.0ms

rewrite64.0ms

series255.0ms

simplify110.0ms

prune339.0ms

regimes841.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

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