Details

sample39.0ms

Algorithm

intervals

Results

23.0ms

368×

body

valid

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 8.5b

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.3b	(- (* x y) (* (* z 9.0) t))
8.0b	(/ (- (* 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:

7.0ms	(* (* z 9.0) t)
2.0ms	(- (* x y) (* (* z 9.0) t))
8.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series136.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(* (* z 9.0) t)
54.0ms	(- (* x y) (* (* z 9.0) t))
65.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (9.0ms)

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

prune164.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 8.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b	(* z (* 9.0 t))
0.3b	(- (* x y) (* z (* 9.0 t)))
8.0b	(/ (- (* 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-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:

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

series138.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(* z (* 9.0 t))
55.0ms	(- (* x y) (* z (* 9.0 t)))
65.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify43.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	318	398
1	1325	340
2	5002	340

prune157.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 8.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
0.2b	(* 4.5 (/ (* t z) a))
6.3b	(/ (* t z) a)
6.6b	(/ (* x y) a)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

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

series176.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
27.0ms	(* 4.5 (/ (* t z) a))
19.0ms	(/ (* t z) a)
23.0ms	(/ (* x y) a)

simplify49.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	381	486
1	1921	419
2	5001	419

prune230.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.5 (/ (* x y) a)) (* (* 4.5 (* t z)) (/ 1 a)))
0.2b	(* 4.5 (* t z))
6.4b	(* (* 4.5 (* t z)) (/ 1 a))
6.6b	(/ (* x y) a)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-exp-log`
35×	`add-cbrt-cube`
28×	`prod-exp`
18×	`pow1`
16×	`cbrt-unprod`
14×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
12×	`times-frac`
9×	`pow-prod-down`
8×	`div-exp`
7×	`associate-*r/`
6×	`add-log-exp`
5×	`cbrt-undiv`
4×	`associate-l`
3×	`rec-exp` `1-exp` `associate-/r*` `un-div-inv`
2×	`*-commutative` `frac-sub` `div-inv` `sub-div`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `clear-num` `flip--` `associate-/l*`

Counts

4 → 100

Calls

4 calls:

9.0ms	(- (* 0.5 (/ (* x y) a)) (* (* 4.5 (* t z)) (/ 1 a)))
6.0ms	(* 4.5 (* t z))
23.0ms	(* (* 4.5 (* t z)) (/ 1 a))
3.0ms	(/ (* x y) a)

series180.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(- (* 0.5 (/ (* x y) a)) (* (* 4.5 (* t z)) (/ 1 a)))
19.0ms	(* 4.5 (* t z))
31.0ms	(* (* 4.5 (* t z)) (/ 1 a))
19.0ms	(/ (* x y) a)

simplify72.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	531	639
1	2768	523
2	5001	511

prune213.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.5b

regimes731.0ms

Accuracy

45.8% (4.1b remaining)

Error of 4.5b against oracle of 0.4b and baseline of 8.0b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	55
1	63	55

end0.0ms

sample1.1s

Algorithm

intervals

Results

721.0ms

11173×

body

valid