Details

sample27.0ms

Algorithm

intervals

Results

13.0ms

265×

body

valid

simplify115.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	23	8
1	37	8
2	65	8
3	94	8
4	108	8
5	132	8
6	201	8
7	359	8
8	825	8
9	3212	8
10	5002	8

prune3.0ms

Filtered

1 candidates to 0 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: 26.3b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.0b	(* z (- b y))
1.0b	(+ (* x y) (* z (- t a)))
25.4b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite28.0ms

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:

6.0ms	(* z (- t a))
9.0ms	(* z (- b y))
4.0ms	(+ (* x y) (* z (- t a)))
7.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series415.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* z (- t a))
34.0ms	(* z (- b y))
43.0ms	(+ (* x y) (* z (- t a)))
303.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify60.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	401	714
1	1759	659
2	5001	659

prune281.0ms

Filtered

110 candidates to 74 candidates (67.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	100	10	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	10	111

Merged error: 25.6b

Counts

111 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.2b	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
1.0b	(+ (* x y) (* z (- t a)))
25.4b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite31.0ms

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:

6.0ms	(* z (- b y))
8.0ms	(/ 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))))

series1.1s

Counts

4 → 12

Calls

4 calls:

34.0ms	(* z (- b y))
784.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
42.0ms	(+ (* x y) (* z (- t a)))
257.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify82.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	576	2057
1	2790	1879
2	5001	1791

prune305.0ms

Filtered

168 candidates to 93 candidates (55.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	167	1	168
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	167	11	178

Merged error: 25.6b

Counts

178 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
1.0b	(+ (* x y) (* z (- t a)))
1.3b	(+ (* z b) (* z (neg y)))
25.4b	(/ (+ (* x y) (* z (- t a))) (+ y (+ (* z b) (* z (neg y)))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

6.0ms	(* z (- t a))
4.0ms	(+ (* x y) (* z (- t a)))
3.0ms	(+ (* z b) (* z (neg y)))
9.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (+ (* z b) (* z (neg y)))))

series423.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* z (- t a))
44.0ms	(+ (* x y) (* z (- t a)))
37.0ms	(+ (* z b) (* z (neg y)))
307.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (+ (* z b) (* z (neg y)))))

simplify66.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	408	843
1	1909	754
2	5002	746

prune243.0ms

Filtered

102 candidates to 69 candidates (67.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	102	11	113

Merged error: 25.6b

Counts

113 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.2b	(/ 1 (+ y (* z (- b y))))
1.0b	(+ (* x y) (* z (- t a)))
25.3b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite30.0ms

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

series501.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* z (- b y))
115.0ms	(/ 1 (+ y (* z (- b y))))
40.0ms	(+ (* x y) (* z (- t a)))
312.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify69.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	449	955
1	2234	847
2	5001	821

prune229.0ms

Filtered

128 candidates to 76 candidates (59.4%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	128	11	139

Merged error: 25.6b

Counts

139 → 11

regimes418.0ms

Accuracy

0% (0.7b remaining)

Error of 23.7b against oracle of 23.0b and baseline of 23.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	9
1	23	9

end0.0ms

sample726.0ms

Algorithm

intervals

Results

433.0ms

8381×

body

valid

Details

sample27.0ms

simplify115.0ms

prune3.0ms

localize11.0ms

rewrite28.0ms

series415.0ms

simplify60.0ms

prune281.0ms

localize13.0ms

rewrite31.0ms

series1.1s

simplify82.0ms

prune305.0ms

localize13.0ms

rewrite25.0ms

series423.0ms

simplify66.0ms

prune243.0ms

localize14.0ms

rewrite30.0ms

series501.0ms

simplify69.0ms

prune229.0ms

regimes418.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample726.0ms

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