Details

sample26.0ms

Algorithm

intervals

Results

11.0ms

342×

body

valid

simplify66.0ms

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

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* (* z 9.0) t))
0.3b	(* (* z 9.0) t)
6.3b	(/ (- (* 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)
8.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series133.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(- (* x y) (* (* z 9.0) t))
20.0ms	(* (* z 9.0) t)
63.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify45.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (10.0ms)

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

prune164.0ms

Filtered

63 candidates to 44 candidates (69.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.1b

localize13.0ms

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))
5.4b	(/ (* t z) a)
5.8b	(/ (* 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/`
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:

6.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
8.0ms	(* 4.5 (/ (* t z) a))
3.0ms	(/ (* t z) a)
4.0ms	(/ (* x y) a)

series173.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
30.0ms	(* 4.5 (/ (* t z) a))
18.0ms	(/ (* t z) a)
19.0ms	(/ (* x y) a)

simplify50.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 1 (12.0ms)

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

prune226.0ms

Filtered

95 candidates to 62 candidates (65.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* z (* 9.0 t)))
0.2b	(* z (* 9.0 t))
6.3b	(/ (- (* 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×	`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))
10.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series131.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(- (* x y) (* z (* 9.0 t)))
19.0ms	(* z (* 9.0 t))
62.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify42.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (9.0ms)

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

prune158.0ms

Filtered

63 candidates to 43 candidates (68.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* 9.0 (* t z)))
0.2b	(* 9.0 (* t z))
6.3b	(/ (- (* x y) (* 9.0 (* t z))) (* 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×	`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)))
8.0ms	(* 9.0 (* t z))
8.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

series137.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- (* x y) (* 9.0 (* t z)))
23.0ms	(* 9.0 (* t z))
63.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

simplify42.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (9.0ms)

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

prune132.0ms

Filtered

63 candidates to 42 candidates (66.7%)

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.3b

regimes472.0ms

Accuracy

3.9% (6.9b remaining)

Error of 7.3b against oracle of 0.4b and baseline of 7.6b

bsearch98.0ms

Steps

Iters	Range		Point
6	1.7564774018365115e+41	2.4920668501096205e+42	4.2471989286674765e+41
8	-1.707166976749799e-57	-1.4938198293723625e-60	-1.6170558252423057e-60

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	30
1	40	30

end0.0ms

sample722.0ms

Algorithm

intervals

Results

392.0ms

11092×

body

valid