Details

sample31.0ms

Algorithm

intervals

Results

15.0ms

376×

body

valid

simplify74.0ms

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

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.5b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* (* z 9.0) t))
0.2b	(* (* z 9.0) t)
8.0b	(/ (- (* 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)
9.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series140.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(- (* x y) (* (* z 9.0) t))
18.0ms	(* (* z 9.0) t)
68.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify49.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (11.0ms)

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

prune169.0ms

Filtered

63 candidates to 44 candidates (69.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 8.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* z (* 9.0 t)))
0.1b	(* z (* 9.0 t))
8.0b	(/ (- (* 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-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:

3.0ms	(- (* x y) (* z (* 9.0 t)))
6.0ms	(* z (* 9.0 t))
8.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series138.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (* x y) (* z (* 9.0 t)))
17.0ms	(* z (* 9.0 t))
68.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	318	398
1	1325	340
2	5001	340

prune155.0ms

Filtered

63 candidates to 42 candidates (66.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 8.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* 9.0 (* t z)))
0.2b	(* 9.0 (* t z))
8.0b	(/ (- (* x y) (* 9.0 (* t z))) (* 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-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:

3.0ms	(- (* x y) (* 9.0 (* t z)))
6.0ms	(* 9.0 (* t z))
9.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

series141.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(- (* x y) (* 9.0 (* t z)))
20.0ms	(* 9.0 (* t z))
67.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

simplify45.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	311	398
1	1209	340
2	5001	340

prune152.0ms

Filtered

63 candidates to 42 candidates (66.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 8.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* z (* 9.0 t)))
0.1b	(* z (* 9.0 t))
8.1b	(* (- (* x y) (* z (* 9.0 t))) (/ 1 (* a 2.0)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
17×	`add-cbrt-cube`
13×	`prod-exp`
10×	`pow1`
9×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-cube-cbrt` `*-un-lft-identity` `cbrt-unprod`
6×	`associate-l`
5×	`add-log-exp`
4×	`div-exp` `pow-prod-down`
3×	`flip3--` `times-frac` `flip--`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-l/` `-commutative`
1×	`sub-neg` `diff-log` `associate-*r/` `un-div-inv` `div-inv` `unswap-sqr`

Counts

3 → 66

Calls

3 calls:

3.0ms	(- (* x y) (* z (* 9.0 t)))
6.0ms	(* z (* 9.0 t))
19.0ms	(* (- (* x y) (* z (* 9.0 t))) (/ 1 (* a 2.0)))

series137.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(- (* x y) (* z (* 9.0 t)))
17.0ms	(* z (* 9.0 t))
66.0ms	(* (- (* x y) (* z (* 9.0 t))) (/ 1 (* a 2.0)))

simplify55.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	380	525
1	1692	442
2	5002	438

prune149.0ms

Filtered

75 candidates to 46 candidates (61.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 8.1b

regimes503.0ms

Accuracy

0% (0.4b remaining)

Error of 7.6b against oracle of 7.3b and baseline of 7.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	6
1	17	6

end0.0ms

sample780.0ms

Algorithm

intervals

Results

443.0ms

11159×

body

valid