Details

sample27.0ms

Algorithm

intervals

Results

12.0ms

359×

body

valid

simplify68.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b	(- (* x y) (* (* z 9.0) t))
0.2b	(* (* z 9.0) t)
7.3b	(/ (- (* 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:

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

series133.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(- (* x y) (* (* z 9.0) t))
20.0ms	(* (* z 9.0) t)
63.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify47.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (11.0ms)

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

prune157.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.4b

localize13.0ms

Local error

Found 3 expressions with local error:

0.2b	(* 9.0 (* t z))
0.2b	(- (* x y) (* 9.0 (* t z)))
7.3b	(/ (- (* x y) (* 9.0 (* t z))) (* 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-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	(* 9.0 (* t z))
3.0ms	(- (* x y) (* 9.0 (* t z)))
8.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

series135.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(* 9.0 (* t z))
53.0ms	(- (* x y) (* 9.0 (* t z)))
63.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

simplify42.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	311	398
1	1209	340
2	5002	340

prune162.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.4b

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)
5.4b	(/ (* x y) (* a 2.0))
6.5b	(/ (* (* z 9.0) t) (* a 2.0))

rewrite34.0ms

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-r` `pow-prod-down`
2×	`frac-2neg` `times-frac` `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 → 81

Calls

4 calls:

10.0ms	(- (/ (* x y) (* a 2.0)) (/ (* (* z 9.0) t) (* a 2.0)))
9.0ms	(* (* z 9.0) t)
4.0ms	(/ (* x y) (* a 2.0))
8.0ms	(/ (* (* z 9.0) t) (* a 2.0))

series177.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(- (/ (* x y) (* a 2.0)) (/ (* (* z 9.0) t) (* a 2.0)))
20.0ms	(* (* z 9.0) t)
27.0ms	(/ (* x y) (* a 2.0))
27.0ms	(/ (* (* z 9.0) t) (* a 2.0))

simplify79.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	452	605
1	2932	489
2	5003	489

prune189.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* x y) (* a 2.0)) (* (/ (* z 9.0) a) (/ t 2.0)))
0.2b	(/ (* z 9.0) a)
5.4b	(/ (* x y) (* a 2.0))
5.6b	(* (/ (* z 9.0) a) (/ t 2.0))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

8.0ms	(- (/ (* x y) (* a 2.0)) (* (/ (* z 9.0) a) (/ t 2.0)))
3.0ms	(/ (* z 9.0) a)
4.0ms	(/ (* x y) (* a 2.0))
14.0ms	(* (/ (* z 9.0) a) (/ t 2.0))

series184.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(- (/ (* x y) (* a 2.0)) (* (/ (* z 9.0) a) (/ t 2.0)))
18.0ms	(/ (* z 9.0) a)
32.0ms	(/ (* x y) (* a 2.0))
29.0ms	(* (/ (* z 9.0) a) (/ t 2.0))

simplify91.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	627	726
1	3660	609
2	5002	609

prune267.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes535.0ms

Accuracy

50.8% (3.9b remaining)

Error of 4.0b against oracle of 0.1b and baseline of 8.1b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	49
1	49	49
2	49	49

end0.0ms

sample720.0ms

Algorithm

intervals

Results

380.0ms

11192×

body

valid