Details

sample28.0ms

Algorithm

intervals

Results

14.0ms

270×

body

valid

simplify112.0ms

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	5001	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.0b	(* z (- b y))
1.2b	(+ (* x y) (* z (- t a)))
22.2b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite27.0ms

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

series423.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* z (- t a))
37.0ms	(* z (- b y))
39.0ms	(+ (* x y) (* z (- t a)))
314.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify50.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 1 (11.0ms)

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

prune290.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 22.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.5b	(/ 1 (+ y (* z (- b y))))
1.2b	(+ (* x y) (* z (- t a)))
22.0b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite29.0ms

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)))))

series470.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* z (- b y))
84.0ms	(/ 1 (+ y (* z (- b y))))
39.0ms	(+ (* x y) (* z (- t a)))
305.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify68.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	449	957
1	2234	849
2	5001	823

prune305.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 22.4b

localize18.0ms

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)))))
1.2b	(+ (* x y) (* z (- t a)))
22.3b	(/ (+ 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))
787.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
40.0ms	(+ (* x y) (* z (- t a)))
261.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify79.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	576	2059
1	2790	1881
2	5001	1793

prune361.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 22.4b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a))))))
0.8b	(/ 1 (+ (* x y) (* z (- t a))))
1.2b	(+ (* x y) (* z (- t a)))
21.4b	(* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* 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 (+ (* x y) (* z (- t a))))))
5.0ms	(/ 1 (+ (* x y) (* z (- t a))))
4.0ms	(+ (* x y) (* z (- t a)))
11.0ms	(* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a)))))

series1.3s

Counts

4 → 12

Calls

4 calls:

771.0ms	(/ 1 (* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a))))))
242.0ms	(/ 1 (+ (* x y) (* z (- t a))))
40.0ms	(+ (* x y) (* z (- t a)))
260.0ms	(* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a)))))

simplify68.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	499	1409
1	2401	1189
2	5003	1150

prune293.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 22.4b

regimes295.0ms

Accuracy

0% (0.7b remaining)

Error of 23.5b against oracle of 22.9b and baseline of 23.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	9
1	24	9

end0.0ms

sample670.0ms

Algorithm

intervals

Results

367.0ms

8384×

body

valid