Details

sample27.0ms

Algorithm

intervals

Results

12.0ms

339×

body

valid

simplify94.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	27	6
1	91	6
2	289	6
3	770	6
4	1514	6
5	1860	6
6	1885	6
7	1885	6

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.3b	(- (* x y) (* (* z 9.0) t))
5.9b	(/ (- (* 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×	`expm1-log1p-u` `times-frac` `associate-r` `pow-prod-down` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `associate-l` `prod-diff` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 62

Calls

3 calls:

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

series152.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(* (* z 9.0) t)
59.0ms	(- (* x y) (* (* z 9.0) t))
74.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify65.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	346	438
1	1623	375
2	5001	375

prune217.0ms

Filtered

71 candidates to 52 candidates (73.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.9b

localize16.0ms

Local error

Found 3 expressions with local error:

0.2b	(* z (* 9.0 t))
0.3b	(- (* x y) (* z (* 9.0 t)))
5.9b	(/ (- (* 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×	`expm1-log1p-u` `times-frac` `associate-l` `pow-prod-down` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `associate-r` `prod-diff` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 62

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))

series148.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(* z (* 9.0 t))
61.0ms	(- (* x y) (* z (* 9.0 t)))
69.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify58.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	342	437
1	1396	374
2	5001	374

prune215.0ms

Filtered

71 candidates to 50 candidates (70.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.9b

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))
5.1b	(/ (* x y) (* a 2.0))
5.1b	(/ (* z (* 9.0 t)) (* a 2.0))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-exp-log` `add-cbrt-cube`
25×	`prod-diff`
18×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`add-cube-cbrt` `prod-exp` `cbrt-unprod`
15×	`div-inv`
13×	`times-frac`
10×	`cbrt-undiv` `div-exp`
9×	`pow1`
6×	`add-log-exp`
5×	`fma-neg`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-l` `pow-prod-down`
2×	`frac-2neg` `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 → 119

Calls

4 calls:

12.0ms	(- (/ (* x y) (* a 2.0)) (/ (* z (* 9.0 t)) (* a 2.0)))
6.0ms	(* z (* 9.0 t))
4.0ms	(/ (* x y) (* a 2.0))
8.0ms	(/ (* z (* 9.0 t)) (* a 2.0))

series202.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(- (/ (* x y) (* a 2.0)) (/ (* z (* 9.0 t)) (* a 2.0)))
18.0ms	(* z (* 9.0 t))
30.0ms	(/ (* x y) (* a 2.0))
35.0ms	(/ (* z (* 9.0 t)) (* a 2.0))

simplify132.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (117.0ms)

Iter	Nodes	Cost
0	571	1402
1	3533	988
2	5002	987

prune295.0ms

Filtered

131 candidates to 69 candidates (52.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

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)
5.1b	(/ (* x y) (* a 2.0))
5.1b	(/ (* (* z 9.0) t) (* a 2.0))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-exp-log` `add-cbrt-cube`
25×	`prod-diff`
18×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`add-cube-cbrt` `prod-exp` `cbrt-unprod`
15×	`div-inv`
13×	`times-frac`
10×	`cbrt-undiv` `div-exp`
9×	`pow1`
6×	`add-log-exp`
5×	`fma-neg`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r` `pow-prod-down`
2×	`frac-2neg` `clear-num` `associate-/r` `associate-/l`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `associate-l` `*-commutative` `frac-sub` `flip--` `distribute-lft-out--` `sub-div` `difference-of-squares`

Counts

4 → 119

Calls

4 calls:

12.0ms	(- (/ (* x y) (* a 2.0)) (/ (* (* z 9.0) t) (* a 2.0)))
11.0ms	(* (* z 9.0) t)
4.0ms	(/ (* x y) (* a 2.0))
9.0ms	(/ (* (* z 9.0) t) (* a 2.0))

series206.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(- (/ (* x y) (* a 2.0)) (/ (* (* z 9.0) t) (* a 2.0)))
25.0ms	(* (* z 9.0) t)
31.0ms	(/ (* x y) (* a 2.0))
31.0ms	(/ (* (* z 9.0) t) (* a 2.0))

simplify127.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (111.0ms)

Iter	Nodes	Cost
0	572	1402
1	3517	988
2	5002	987

prune274.0ms

Filtered

131 candidates to 69 candidates (52.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes684.0ms

Accuracy

88.6% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 7.4b

bsearch2.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	23
1	54	23
2	60	23
3	60	23

end0.0ms

sample733.0ms

Algorithm

intervals

Results

406.0ms

11163×

body

valid