Details

sample29.0ms

Algorithm

intervals

Results

13.0ms

346×

body

valid

simplify68.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.3b	(- (* x y) (* (* z 9.0) t))
6.7b	(/ (- (* 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))

series137.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(* (* z 9.0) t)
54.0ms	(- (* x y) (* (* z 9.0) t))
66.0ms	(/ (- (* 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

prune159.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.5b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
0.3b	(* 4.5 (/ (* t z) a))
5.4b	(/ (* t z) a)
5.5b	(/ (* x y) a)

rewrite26.0ms

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:

9.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
8.0ms	(* 4.5 (/ (* t z) a))
3.0ms	(/ (* t z) a)
3.0ms	(/ (* x y) a)

series173.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
27.0ms	(* 4.5 (/ (* t z) a))
19.0ms	(/ (* t z) a)
19.0ms	(/ (* x y) a)

simplify53.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 1 (11.0ms)

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

prune227.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.5 (/ (* x y) a))
0.0b	(- (* 0.5 (/ (* x y) a)) (* (* t 4.5) (/ z a)))
4.9b	(* (* t 4.5) (/ z a))
5.5b	(/ (* x y) a)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

8.0ms	(* 0.5 (/ (* x y) a))
7.0ms	(- (* 0.5 (/ (* x y) a)) (* (* t 4.5) (/ z a)))
10.0ms	(* (* t 4.5) (/ z a))
3.0ms	(/ (* x y) a)

series182.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* 0.5 (/ (* x y) a))
106.0ms	(- (* 0.5 (/ (* x y) a)) (* (* t 4.5) (/ z a)))
27.0ms	(* (* t 4.5) (/ z a))
22.0ms	(/ (* x y) a)

simplify69.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	490	572
1	2600	492
2	5001	492

prune244.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
2.6b	(* (* t (* 4.5 (* (cbrt z) (cbrt z)))) (/ (cbrt z) a))
5.5b	(/ (* x y) a)

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
33×	`add-cbrt-cube`
22×	`associate-r`
21×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac` `prod-exp` `cbrt-unprod`
18×	`pow1`
15×	`cbrt-prod`
10×	`pow-prod-down`
6×	`cbrt-undiv` `div-exp`
4×	`add-log-exp`
3×	`associate-/r*`
2×	`pow1/3` `div-inv`
1×	`frac-2neg` `associate-r/` `associate-l` `clear-num` `-commutative` `associate-/l*`

Counts

4 → 95

Calls

4 calls:

0.0ms	(cbrt z)
1.0ms	(cbrt z)
106.0ms	(* (* t (* 4.5 (* (cbrt z) (cbrt z)))) (/ (cbrt z) a))
3.0ms	(/ (* x y) a)

series421.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt z)
171.0ms	(cbrt z)
53.0ms	(* (* t (* 4.5 (* (cbrt z) (cbrt z)))) (/ (cbrt z) a))
19.0ms	(/ (* x y) a)

simplify83.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	533	765
1	3022	567
2	5001	513

prune305.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes562.0ms

Accuracy

87.5% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 7.0b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	22
1	44	22

end0.0ms

sample779.0ms

Algorithm

intervals

Results

416.0ms

11240×

body

valid