Details

sample30.0ms

Algorithm

intervals

Results

13.0ms

346×

body

valid

simplify75.0ms

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

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))

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))

series140.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(* (* z 9.0) t)
52.0ms	(- (* x y) (* (* z 9.0) t))
68.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify53.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (12.0ms)

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

prune208.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.5b

localize15.0ms

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)

rewrite24.0ms

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/`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-l` `div-inv`
2×	`frac-2neg` `clear-num` `associate-/l*`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `sub-div` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

7.0ms	(- (* 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)

series179.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
31.0ms	(* 4.5 (/ (* t z) a))
20.0ms	(/ (* t z) a)
20.0ms	(/ (* x y) a)

simplify55.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	405	538
1	2002	467
2	5001	467

prune288.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize11.0ms

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)

rewrite31.0ms

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×	`expm1-log1p-u` `associate-l` `pow-prod-down` `log1p-expm1-u`
3×	`associate-/r*` `div-inv`
2×	`*-commutative`
1×	`sub-neg` `flip3--` `frac-2neg` `fma-neg` `diff-log` `prod-diff` `clear-num` `frac-sub` `flip--` `associate-/l*` `sub-div` `unswap-sqr`

Counts

4 → 105

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)

series191.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* 0.5 (/ (* x y) a))
110.0ms	(- (* 0.5 (/ (* x y) a)) (* (* t 4.5) (/ z a)))
29.0ms	(* (* t 4.5) (/ z a))
23.0ms	(/ (* x y) a)

simplify75.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	518	626
1	2715	543
2	5002	543

prune307.0ms

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)

rewrite109.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 103

Calls

4 calls:

0.0ms	(cbrt z)
1.0ms	(cbrt z)
100.0ms	(* (* t (* 4.5 (* (cbrt z) (cbrt z)))) (/ (cbrt z) a))
3.0ms	(/ (* x y) a)

series445.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt z)
180.0ms	(cbrt z)
52.0ms	(* (* t (* 4.5 (* (cbrt z) (cbrt z)))) (/ (cbrt z) a))
23.0ms	(/ (* x y) a)

simplify86.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	539	797
1	3029	599
2	5001	545

prune368.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes651.0ms

Accuracy

87.5% (0.9b remaining)

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

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	23
1	48	23

end0.0ms

sample752.0ms

Algorithm

intervals

Results

421.0ms

11240×

body

valid