Details

sample29.0ms

Algorithm

intervals

Results

12.0ms

357×

body

valid

simplify100.0ms

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: 6.6b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.4b	(- (* x y) (* (* z 9.0) t))
6.1b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite20.0ms

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:

7.0ms	(* (* z 9.0) t)
3.0ms	(- (* x y) (* (* z 9.0) t))
8.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series157.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(* (* z 9.0) t)
62.0ms	(- (* x y) (* (* z 9.0) t))
76.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify68.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (15.0ms)

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

prune232.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.7b

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) a))
4.7b	(/ (* t z) a)
4.9b	(/ (* 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)

series196.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
34.0ms	(* 4.5 (/ (* t z) a))
21.0ms	(/ (* t z) a)
22.0ms	(/ (* x y) a)

simplify69.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 1 (17.0ms)

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

prune306.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.5b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt a)
0.5b	(* (cbrt a) (cbrt a))
2.9b	(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
4.7b	(/ (* t z) a)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
32×	`add-exp-log`
31×	`times-frac`
30×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
28×	`associate-r`
23×	`add-cbrt-cube`
13×	`pow1` `associate-l`
10×	`prod-exp` `cbrt-unprod` `unswap-sqr`
9×	`cbrt-undiv` `div-exp`
7×	`pow1/3`
6×	`swap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `associate-/r*` `div-inv`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `frac-times` `frac-2neg` `pow-plus` `associate-r/` `associate-l/` `clear-num` `associate-/l*`

Counts

4 → 139

Calls

4 calls:

1.0ms	(cbrt a)
6.0ms	(* (cbrt a) (cbrt a))
27.0ms	(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
3.0ms	(/ (* t z) a)

series501.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(cbrt a)
222.0ms	(* (cbrt a) (cbrt a))
55.0ms	(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
22.0ms	(/ (* t z) a)

simplify121.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (103.0ms)

Iter	Nodes	Cost
0	593	932
1	3452	752
2	5001	704

prune523.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (sqrt 4.5) (/ (* t z) a))
0.5b	(* (sqrt 4.5) (* (sqrt 4.5) (/ (* t z) a)))
4.7b	(/ (* t z) a)
4.9b	(/ (* x y) a)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

10.0ms	(* (sqrt 4.5) (/ (* t z) a))
21.0ms	(* (sqrt 4.5) (* (sqrt 4.5) (/ (* t z) a)))
3.0ms	(/ (* t z) a)
4.0ms	(/ (* x y) a)

series548.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* (sqrt 4.5) (/ (* t z) a))
412.0ms	(* (sqrt 4.5) (* (sqrt 4.5) (/ (* t z) a)))
22.0ms	(/ (* t z) a)
22.0ms	(/ (* x y) a)

simplify76.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	398	604
1	2107	484
2	5001	484

prune313.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes639.0ms

Accuracy

89% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 7.9b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	27
1	45	27

end0.0ms

sample715.0ms

Algorithm

intervals

Results

389.0ms

11105×

body

valid