Details

sample26.0ms

Algorithm

intervals

Results

11.0ms

339×

body

valid

simplify67.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize13.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.3b	(- (* x y) (* (* z 9.0) t))
5.9b	(/ (- (* 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)
53.0ms	(- (* x y) (* (* z 9.0) t))
62.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify43.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (9.0ms)

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

prune152.0ms

Filtered

63 candidates to 44 candidates (69.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.9b

localize12.0ms

Local error

Found 3 expressions with local error:

0.2b	(* z (* 9.0 t))
0.3b	(- (* x y) (* z (* 9.0 t)))
5.9b	(/ (- (* 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-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	(* z (* 9.0 t))
3.0ms	(- (* x y) (* z (* 9.0 t)))
8.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series131.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(* z (* 9.0 t))
53.0ms	(- (* x y) (* z (* 9.0 t)))
62.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify40.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	318	398
1	1325	340
2	5002	340

prune146.0ms

Filtered

63 candidates to 42 candidates (66.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.9b

localize10.0ms

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))
5.1b	(/ (* x y) (* a 2.0))
5.1b	(/ (* z (* 9.0 t)) (* a 2.0))

rewrite33.0ms

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-l` `pow-prod-down`
2×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `associate-/l`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `associate-r` `*-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)))
6.0ms	(* z (* 9.0 t))
6.0ms	(/ (* x y) (* a 2.0))
8.0ms	(/ (* z (* 9.0 t)) (* a 2.0))

series181.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(- (/ (* x y) (* a 2.0)) (/ (* z (* 9.0 t)) (* a 2.0)))
21.0ms	(* z (* 9.0 t))
28.0ms	(/ (* x y) (* a 2.0))
26.0ms	(/ (* z (* 9.0 t)) (* a 2.0))

simplify77.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	451	605
1	2918	489
2	5002	489

prune186.0ms

Filtered

93 candidates to 53 candidates (57.0%)

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.5b

localize10.0ms

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)
5.1b	(/ (* x y) (* a 2.0))
5.1b	(/ (* (* z 9.0) t) (* a 2.0))

rewrite32.0ms

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)))
6.0ms	(* (* z 9.0) t)
4.0ms	(/ (* x y) (* a 2.0))
9.0ms	(/ (* (* z 9.0) t) (* a 2.0))

series175.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(- (/ (* x y) (* a 2.0)) (/ (* (* z 9.0) t) (* a 2.0)))
17.0ms	(* (* z 9.0) t)
30.0ms	(/ (* x y) (* a 2.0))
26.0ms	(/ (* (* z 9.0) t) (* a 2.0))

simplify73.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

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

prune163.0ms

Filtered

93 candidates to 53 candidates (57.0%)

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.5b

regimes612.0ms

Accuracy

34.6% (4.6b remaining)

Error of 5.0b against oracle of 0.4b and baseline of 7.4b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	31
1	41	31

end0.0ms

sample722.0ms

Algorithm

intervals

Results

382.0ms

11163×

body

valid