Details

sample27.0ms

Algorithm

intervals

Results

12.0ms

354×

body

valid

simplify69.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* (* z 9.0) t))
0.5b	(* (* z 9.0) t)
7.2b	(/ (- (* 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:

3.0ms	(- (* x y) (* (* z 9.0) t))
5.0ms	(* (* z 9.0) t)
10.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series133.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(- (* x y) (* (* z 9.0) t))
20.0ms	(* (* z 9.0) t)
63.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify46.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (9.0ms)

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

prune167.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.3b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* z (* 9.0 t)))
0.2b	(* z (* 9.0 t))
7.2b	(/ (- (* 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:

3.0ms	(- (* x y) (* z (* 9.0 t)))
7.0ms	(* z (* 9.0 t))
7.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series132.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (* x y) (* z (* 9.0 t)))
17.0ms	(* z (* 9.0 t))
62.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (10.0ms)

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

prune156.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.3b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* x y) (* a 2.0)) (/ (* z (* 9.0 t)) (* a 2.0)))
0.2b	(* z (* 9.0 t))
5.6b	(/ (* x y) (* a 2.0))
6.3b	(/ (* z (* 9.0 t)) (* a 2.0))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

8.0ms	(- (/ (* x y) (* a 2.0)) (/ (* z (* 9.0 t)) (* a 2.0)))
5.0ms	(* z (* 9.0 t))
6.0ms	(/ (* x y) (* a 2.0))
8.0ms	(/ (* z (* 9.0 t)) (* a 2.0))

series183.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(- (/ (* x y) (* a 2.0)) (/ (* z (* 9.0 t)) (* a 2.0)))
17.0ms	(* z (* 9.0 t))
27.0ms	(/ (* x y) (* a 2.0))
30.0ms	(/ (* z (* 9.0 t)) (* a 2.0))

simplify81.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	451	605
1	2918	489
2	5002	489

prune198.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* x y) (* a 2.0)) (* 4.5 (/ (* t z) a)))
0.2b	(* 4.5 (/ (* t z) a))
5.6b	(/ (* x y) (* a 2.0))
6.3b	(/ (* t z) a)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

6.0ms	(- (/ (* x y) (* a 2.0)) (* 4.5 (/ (* t z) a)))
6.0ms	(* 4.5 (/ (* t z) a))
5.0ms	(/ (* x y) (* a 2.0))
8.0ms	(/ (* t z) a)

series183.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(- (/ (* x y) (* a 2.0)) (* 4.5 (/ (* t z) a)))
30.0ms	(* 4.5 (/ (* t z) a))
28.0ms	(/ (* x y) (* a 2.0))
19.0ms	(/ (* t z) a)

simplify60.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	422	514
1	2278	434
2	5002	434

prune200.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.3b

regimes718.0ms

Accuracy

55.1% (3.4b remaining)

Error of 3.8b 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	56	45
1	56	45

end0.0ms

sample736.0ms

Algorithm

intervals

Results

403.0ms

11122×

body

valid