Details

sample32.0ms

Algorithm

intervals

Results

15.0ms

370×

body

valid

simplify75.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	6
1	89	6
2	277	6
3	735	6
4	1436	6
5	1714	6
6	1730	6
7	1730	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* (* z 9.0) t))
0.2b	(* (* z 9.0) t)
6.7b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `associate-r` `pow-prod-down` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-l` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 54

Calls

3 calls:

2.0ms	(- (* x y) (* (* z 9.0) t))
6.0ms	(* (* z 9.0) t)
8.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series143.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(- (* x y) (* (* z 9.0) t))
17.0ms	(* (* z 9.0) t)
70.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	326	399
1	1408	341
2	5002	341

prune175.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.9b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* z (* 9.0 t)))
0.2b	(* z (* 9.0 t))
6.7b	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `associate-l` `pow-prod-down` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-r` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 54

Calls

3 calls:

3.0ms	(- (* x y) (* z (* 9.0 t)))
6.0ms	(* z (* 9.0 t))
8.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series142.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(- (* x y) (* z (* 9.0 t)))
18.0ms	(* z (* 9.0 t))
68.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify46.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	318	398
1	1325	340
2	5001	340

prune160.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.9b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.5 (/ (* x y) a))
0.2b	(* 4.5 (/ (* t z) a))
5.5b	(/ (* x y) a)
6.5b	(/ (* t z) a)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log` `add-cbrt-cube`
18×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
12×	`times-frac`
10×	`prod-exp` `cbrt-unprod`
8×	`pow1` `cbrt-undiv` `div-exp`
6×	`associate-l` `associate-/r*`
4×	`div-inv` `add-log-exp`
2×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l*` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

8.0ms	(* 0.5 (/ (* x y) a))
8.0ms	(* 4.5 (/ (* t z) a))
3.0ms	(/ (* x y) a)
3.0ms	(/ (* t z) a)

series96.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* 0.5 (/ (* x y) a))
26.0ms	(* 4.5 (/ (* t z) a))
23.0ms	(/ (* x y) a)
19.0ms	(/ (* t z) a)

simplify51.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	380	456
1	2036	370
2	5002	370

prune255.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 1.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.5 (/ (* x y) a))
0.2b	(* 4.5 (* t z))
5.5b	(/ (* x y) a)
6.4b	(/ (* 4.5 (* t z)) a)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `prod-exp` `cbrt-unprod`
9×	`times-frac`
8×	`associate-r`
7×	`cbrt-undiv` `div-exp`
6×	`associate-l` `associate-/r*`
4×	`pow-prod-down` `add-log-exp`
3×	`div-inv`
2×	`frac-2neg` `clear-num` `-commutative` `associate-/l`
1×	`associate-*r/` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

8.0ms	(* 0.5 (/ (* x y) a))
6.0ms	(* 4.5 (* t z))
3.0ms	(/ (* x y) a)
7.0ms	(/ (* 4.5 (* t z)) a)

series103.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* 0.5 (/ (* x y) a))
20.0ms	(* 4.5 (* t z))
19.0ms	(/ (* x y) a)
32.0ms	(/ (* 4.5 (* t z)) a)

simplify50.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	371	429
1	1976	343
2	5001	343

prune202.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 1.0b

regimes508.0ms

Accuracy

47.9% (3.9b remaining)

Error of 4.3b against oracle of 0.4b and baseline of 7.9b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	31
1	51	31

end0.0ms

sample741.0ms

Algorithm

intervals

Results

399.0ms

11268×

body

valid