Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

264×

body

valid

simplify107.0ms

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: 26.9b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.0b	(+ y (* z (- b y)))
1.3b	(+ (* x y) (* z (- t a)))
25.9b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite32.0ms

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:

13.0ms	(* z (- b y))
3.0ms	(+ y (* z (- b y)))
3.0ms	(+ (* x y) (* z (- t a)))
11.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series421.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* z (- b y))
27.0ms	(+ y (* z (- b y)))
41.0ms	(+ (* x y) (* z (- t a)))
320.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify48.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	353	708
1	1481	648
2	5001	648

prune260.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 26.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* z (- b y)))
0.2b	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
1.3b	(+ (* x y) (* z (- t a)))
26.0b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite34.0ms

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)))
10.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
3.0ms	(+ (* x y) (* z (- t a)))
11.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.1s

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ y (* z (- b y)))
786.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
39.0ms	(+ (* x y) (* z (- t a)))
264.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify63.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	525	2048
1	2373	1870
2	5002	1782

prune340.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 26.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.0b	(+ y (* z (- b y)))
1.3b	(+ (* x y) (* z (- t a)))
25.9b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite29.0ms

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:

10.0ms	(* z (- b y))
3.0ms	(+ y (* z (- b y)))
3.0ms	(+ (* x y) (* z (- t a)))
11.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series422.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* z (- b y))
27.0ms	(+ y (* z (- b y)))
39.0ms	(+ (* x y) (* z (- t a)))
317.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify61.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	353	708
1	1481	648
2	5001	648

prune269.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 26.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* b z))
0.8b	(+ (+ y (* b z)) (* z (- y)))
1.3b	(+ (* x y) (* z (- t a)))
25.9b	(/ (+ (* x y) (* z (- t a))) (+ (+ y (* b z)) (* z (- y))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log` `add-cbrt-cube`
5×	`flip3-+` `sum-log` `flip-+`
4×	`pow1` `associate-+r+`
3×	`+-commutative` `associate-/r` `associate-/l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-/r/` `distribute-rgt-neg-out` `associate-/l/`
1×	`cbrt-undiv` `associate-+l+` `frac-2neg` `div-exp` `unsub-neg` `clear-num` `div-inv`

Counts

4 → 72

Calls

4 calls:

2.0ms	(+ y (* b z))
10.0ms	(+ (+ y (* b z)) (* z (- y)))
3.0ms	(+ (* x y) (* z (- t a)))
22.0ms	(/ (+ (* x y) (* z (- t a))) (+ (+ y (* b z)) (* z (- y))))

series416.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ y (* b z))
27.0ms	(+ (+ y (* b z)) (* z (- y)))
46.0ms	(+ (* x y) (* z (- t a)))
320.0ms	(/ (+ (* x y) (* z (- t a))) (+ (+ y (* b z)) (* z (- y))))

simplify51.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	352	794
1	1499	712
2	5001	707

prune258.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 26.2b

regimes368.0ms

Accuracy

0% (0.7b remaining)

Error of 23.6b against oracle of 22.8b and baseline of 23.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	10
1	36	10
2	37	10
3	37	10

end0.0ms

sample632.0ms

Algorithm

intervals

Results

340.0ms

8392×

body

valid