Details

sample27.0ms

Algorithm

intervals

Results

11.0ms

354×

body

valid

simplify77.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.2b	(- (* x y) (* (* z 9.0) t))
8.5b	(/ (- (* 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×	`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:

5.0ms	(* (* z 9.0) t)
4.0ms	(- (* x y) (* (* z 9.0) t))
7.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series149.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(* (* z 9.0) t)
61.0ms	(- (* x y) (* (* z 9.0) t))
69.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify57.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (12.0ms)

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

prune473.0ms

Filtered

71 candidates to 52 candidates (73.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 8.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b	(* z (* 9.0 t))
0.2b	(- (* x y) (* z (* 9.0 t)))
8.5b	(/ (- (* 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×	`expm1-log1p-u` `times-frac` `associate-l` `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-r` `prod-diff` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 62

Calls

3 calls:

5.0ms	(* z (* 9.0 t))
4.0ms	(- (* x y) (* z (* 9.0 t)))
7.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series149.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(* z (* 9.0 t))
58.0ms	(- (* x y) (* z (* 9.0 t)))
72.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify54.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	342	437
1	1396	374
2	5001	374

prune211.0ms

Filtered

71 candidates to 50 candidates (70.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 8.6b

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b	(- (* x y) (* 9.0 (* t z)))
0.2b	(* 9.0 (* t z))
8.5b	(/ (+ (- (* x y) (* 9.0 (* t z))) (* (* 9.0 t) (+ (- z) z))) (* a 2.0))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `associate-/l/`
5×	`add-log-exp`
4×	`associate-*r/` `frac-add` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `flip3--` `flip3-+` `times-frac` `associate-l` `pow-prod-down` `flip--` `flip-+` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`associate-+l-` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `associate-r` `prod-diff` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 66

Calls

3 calls:

4.0ms	(- (* x y) (* 9.0 (* t z)))
5.0ms	(* 9.0 (* t z))
11.0ms	(/ (+ (- (* x y) (* 9.0 (* t z))) (* (* 9.0 t) (+ (- z) z))) (* a 2.0))

series149.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(- (* x y) (* 9.0 (* t z)))
21.0ms	(* 9.0 (* t z))
73.0ms	(/ (+ (- (* x y) (* 9.0 (* t z))) (* (* 9.0 t) (+ (- z) z))) (* a 2.0))

simplify89.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	450	675
1	2074	572
2	5001	566

prune269.0ms

Filtered

75 candidates to 54 candidates (72.0%)

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 4.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (* x y) (* a 2.0)) (* (/ (* 9.0 t) 2.0) (/ (- z (+ (- z) z)) a)))
4.4b	(* (/ (* 9.0 t) 2.0) (/ (- z (+ (- z) z)) a))
5.3b	(/ (* x y) (* a 2.0))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
52×	`add-sqr-sqrt`
43×	`times-frac`
40×	`associate-r`
36×	`add-exp-log` `add-cbrt-cube`
32×	`add-cube-cbrt`
18×	`distribute-lft-out--`
12×	`prod-exp` `cbrt-unprod` `distribute-lft-out`
11×	`cbrt-undiv` `div-exp`
9×	`distribute-rgt-neg-in`
7×	`associate-l`
6×	`distribute-lft-neg-in` `distribute-rgt-out--` `distribute-lft1-in`
5×	`pow1` `fma-neg` `prod-diff` `div-inv` `add-log-exp`
3×	`expm1-log1p-u` `neg-mul-1` `distribute-rgt-out` `frac-sub` `log1p-expm1-u` `difference-of-squares`
2×	`frac-times` `associate-r/` `associate-l/` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `flip--` `associate-/l*`

Counts

3 → 125

Calls

3 calls:

9.0ms	(- (/ (* x y) (* a 2.0)) (* (/ (* 9.0 t) 2.0) (/ (- z (+ (- z) z)) a)))
30.0ms	(* (/ (* 9.0 t) 2.0) (/ (- z (+ (- z) z)) a))
6.0ms	(/ (* x y) (* a 2.0))

series186.0ms

Counts

3 → 9

Calls

3 calls:

120.0ms	(- (/ (* x y) (* a 2.0)) (* (/ (* 9.0 t) 2.0) (/ (- z (+ (- z) z)) a)))
30.0ms	(* (/ (* 9.0 t) 2.0) (/ (- z (+ (- z) z)) a))
35.0ms	(/ (* x y) (* a 2.0))

simplify122.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (108.0ms)

Iter	Nodes	Cost
0	745	1276
1	4119	1101
2	5001	1100

prune372.0ms

Filtered

134 candidates to 88 candidates (65.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes496.0ms

Accuracy

13.5% (6.6b remaining)

Error of 6.7b against oracle of 0.0b and baseline of 7.7b

bsearch340.0ms

Steps

Iters	Range		Point
10	9.531334608873196e+226	1.4503388193208526e+241	2.4052825689438766e+229
9	1.7030974921484562e-233	3.7474385551395483e-225	5.184799801235718e-233
9	-4.585783544545137e-242	-1.7351815009970073e-248	-1.0537223031397131e-243
6	-3.837153228984135e-219	-6.784538403354215e-220	-1.6349688163433104e-219
7	-1.061524177095417e-65	-1.5015846751765303e-67	-5.910091569602688e-67

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	59
1	63	59
2	63	59

end0.0ms

sample728.0ms

Algorithm

intervals

Results

395.0ms

11222×

body

valid