Details

sample31.0ms

Algorithm

intervals

Results

13.0ms

366×

body

valid

simplify97.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* (* z 9.0) t))
0.2b	(* (* z 9.0) t)
6.5b	(/ (- (* 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:

4.0ms	(- (* x y) (* (* z 9.0) t))
5.0ms	(* (* z 9.0) t)
8.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series156.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(- (* x y) (* (* z 9.0) t))
25.0ms	(* (* z 9.0) t)
73.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify67.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	346	438
1	1623	375
2	5002	375

prune235.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.6b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 4.5 (/ (* t z) a))
0.2b	(* 0.5 (/ (* x y) a))
3.9b	(/ (* x y) a)
4.1b	(/ (* t z) a)

rewrite31.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l*` `unswap-sqr`

Counts

4 → 104

Calls

4 calls:

7.0ms	(* 4.5 (/ (* t z) a))
7.0ms	(* 0.5 (/ (* x y) a))
5.0ms	(/ (* x y) a)
5.0ms	(/ (* t z) a)

series109.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* 4.5 (/ (* t z) a))
31.0ms	(* 0.5 (/ (* x y) a))
22.0ms	(/ (* x y) a)
22.0ms	(/ (* t z) a)

simplify65.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	388	484
1	2044	398
2	5002	398

prune338.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (cbrt 4.5) (cbrt 4.5)) (* (cbrt 4.5) (/ (* t z) a)))
0.2b	(* (cbrt 4.5) (/ (* t z) a))
3.9b	(/ (* x y) a)
4.1b	(/ (* t z) a)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-exp-log`
38×	`add-cbrt-cube`
26×	`prod-exp` `cbrt-unprod`
18×	`pow1`
16×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`cbrt-undiv` `div-exp`
9×	`times-frac` `pow-prod-down`
8×	`associate-r`
7×	`associate-l`
6×	`associate-/r*`
4×	`cbrt-prod` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-*r/` `div-inv`
2×	`frac-2neg` `clear-num` `-commutative` `associate-/l` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

13.0ms	(* (* (cbrt 4.5) (cbrt 4.5)) (* (cbrt 4.5) (/ (* t z) a)))
8.0ms	(* (cbrt 4.5) (/ (* t z) a))
5.0ms	(/ (* x y) a)
5.0ms	(/ (* t z) a)

series253.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(* (* (cbrt 4.5) (cbrt 4.5)) (* (cbrt 4.5) (/ (* t z) a)))
94.0ms	(* (cbrt 4.5) (/ (* t z) a))
22.0ms	(/ (* x y) a)
23.0ms	(/ (* t z) a)

simplify75.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	433	762
1	2185	581
2	5002	541

prune371.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 0.5 (/ (* x y) a))
0.6b	(/ 1 (/ a (* t z)))
3.9b	(/ (* x y) a)
3.9b	(/ a (* t z))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log`
42×	`times-frac`
32×	`add-cbrt-cube`
29×	`add-sqr-sqrt`
27×	`add-cube-cbrt` `*-un-lft-identity`
18×	`div-exp`
11×	`cbrt-undiv` `associate-/r*`
9×	`prod-exp`
8×	`div-inv`
7×	`pow1` `associate-r` `cbrt-unprod` `associate-/l*`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `associate-l` `clear-num`
1×	`pow-flip` `associate-r/` `pow-prod-down` `associate-/r/` `-commutative` `inv-pow` `unswap-sqr`

Counts

4 → 133

Calls

4 calls:

7.0ms	(* 0.5 (/ (* x y) a))
7.0ms	(/ 1 (/ a (* t z)))
5.0ms	(/ (* x y) a)
5.0ms	(/ a (* t z))

series103.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* 0.5 (/ (* x y) a))
24.0ms	(/ 1 (/ a (* t z)))
21.0ms	(/ (* x y) a)
28.0ms	(/ a (* t z))

simplify75.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	462	663
1	2324	555
2	5001	519

prune339.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.2b

regimes596.0ms

Accuracy

48.5% (3.8b remaining)

Error of 4.2b against oracle of 0.4b and baseline of 7.8b

bsearch2.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	54	40
1	54	40

end0.0ms

sample759.0ms

Algorithm

intervals

Results

418.0ms

11253×

body

valid