Details

sample37.0ms

Algorithm

intervals

Results

22.0ms

364×

body

valid

simplify66.0ms

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: 5.7b

localize12.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.3b	(- (* x y) (* (* z 9.0) t))
5.3b	(/ (- (* 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-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:

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

series132.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(* (* z 9.0) t)
50.0ms	(- (* 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

prune155.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.4b

localize13.0ms

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))
5.5b	(/ (* x y) a)
5.7b	(/ (* t z) a)

rewrite22.0ms

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:

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

series172.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
29.0ms	(* 4.5 (/ (* t z) a))
19.0ms	(/ (* x y) a)
19.0ms	(/ (* t z) a)

simplify51.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 1 (12.0ms)

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

prune220.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
2.5b	(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
5.7b	(/ (* t z) a)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
31×	`times-frac`
30×	`add-exp-log`
23×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
22×	`associate-r`
17×	`cbrt-prod`
9×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
7×	`associate-l`
6×	`pow1` `unswap-sqr`
4×	`add-log-exp`
3×	`associate-/r*` `div-inv`
2×	`pow1/3`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `associate-/l`

Counts

4 → 102

Calls

4 calls:

0.0ms	(cbrt a)
0.0ms	(cbrt a)
26.0ms	(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
3.0ms	(/ (* t z) a)

series413.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt a)
171.0ms	(cbrt a)
52.0ms	(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
19.0ms	(/ (* t z) a)

simplify65.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	521	766
1	2741	611
2	5001	574

prune353.0ms

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	(- (* 0.5 (/ (* x y) a)) (/ (* 4.5 (* t z)) a))
0.2b	(* 4.5 (* t z))
5.5b	(/ (* x y) a)
5.7b	(/ (* 4.5 (* t z)) a)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

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

series175.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(- (* 0.5 (/ (* x y) a)) (/ (* 4.5 (* t z)) a))
19.0ms	(* 4.5 (* t z))
22.0ms	(/ (* x y) a)
28.0ms	(/ (* 4.5 (* t z)) a)

simplify48.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	371	459
1	1861	392
2	5001	392

prune174.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes544.0ms

Accuracy

88% (0.9b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 7.8b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	28
1	51	28

end0.0ms

sample1.0s

Algorithm

intervals

Results

688.0ms

11274×

body

valid