Details

sample27.0ms

Algorithm

intervals

Results

10.0ms

274×

body

valid

simplify111.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 20.6b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* z (- b y)))
0.0b	(* z (- t a))
1.0b	(+ (* x y) (* z (- t a)))
20.0b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

7.0ms	(+ y (* z (- b y)))
22.0ms	(* z (- t a))
10.0ms	(+ (* x y) (* z (- t a)))
32.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series370.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ y (* z (- b y)))
30.0ms	(* z (- t a))
39.0ms	(+ (* x y) (* z (- t a)))
276.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify48.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	359	708
1	1499	648
2	5001	648

prune290.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 20.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* z (- b y)))
0.0b	(* z (- t a))
1.0b	(+ (* x y) (* 1 (* z (- t a))))
20.0b	(/ (+ (* x y) (* 1 (* z (- t a)))) (+ y (* z (- b y))))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

7.0ms	(+ y (* z (- b y)))
20.0ms	(* z (- t a))
15.0ms	(+ (* x y) (* 1 (* z (- t a))))
35.0ms	(/ (+ (* x y) (* 1 (* z (- t a)))) (+ y (* z (- b y))))

series382.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ y (* z (- b y)))
31.0ms	(* z (- t a))
40.0ms	(+ (* x y) (* 1 (* z (- t a))))
285.0ms	(/ (+ (* x y) (* 1 (* z (- t a)))) (+ y (* z (- b y))))

simplify55.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	391	777
1	1596	698
2	5001	693

prune281.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 20.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.5b	(/ 1 (+ y (* z (- b y))))
1.0b	(+ (* x y) (* 1 (* z (- t a))))
19.5b	(* (+ (* x y) (* 1 (* z (- t a)))) (/ 1 (+ y (* z (- b y)))))

rewrite84.0ms

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`
10×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1`
8×	`associate-+r+`
6×	`sub-neg` `associate-l` `add-log-exp`
5×	`flip3-+` `prod-exp` `flip-+`
4×	`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 → 120

Calls

4 calls:

19.0ms	(* z (- t a))
9.0ms	(/ 1 (+ y (* z (- b y))))
12.0ms	(+ (* x y) (* 1 (* z (- t a))))
40.0ms	(* (+ (* x y) (* 1 (* z (- t a)))) (/ 1 (+ y (* z (- b y)))))

series408.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* z (- t a))
70.0ms	(/ 1 (+ y (* z (- b y))))
35.0ms	(+ (* x y) (* 1 (* z (- t a))))
273.0ms	(* (+ (* x y) (* 1 (* z (- t a)))) (/ 1 (+ y (* z (- b y)))))

simplify62.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	479	1025
1	2282	866
2	5001	858

prune325.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 20.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.4b	(/ 1 (/ (+ y (* z (- b y))) (+ (* z (- t a)) (* x y))))
1.0b	(+ (* z (- t a)) (* x y))
20.1b	(/ (+ y (* z (- b y))) (+ (* z (- t a)) (* x y)))

rewrite110.0ms

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-+l+` `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:

20.0ms	(* z (- t a))
32.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* z (- t a)) (* x y))))
16.0ms	(+ (* z (- t a)) (* x y))
37.0ms	(/ (+ y (* z (- b y))) (+ (* z (- t a)) (* x y)))

series991.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* z (- t a))
686.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* z (- t a)) (* x y))))
38.0ms	(+ (* z (- t a)) (* x y))
234.0ms	(/ (+ y (* z (- b y))) (+ (* z (- t a)) (* x y)))

simplify73.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	572	2059
1	2748	1884
2	5001	1797

prune329.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 20.0b

regimes432.0ms

Accuracy

0% (0.6b remaining)

Error of 22.6b against oracle of 22.0b and baseline of 22.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	9
1	26	9
2	26	9

end0.0ms

sample706.0ms

Algorithm

intervals

Results

312.0ms

8426×

body

valid