Details

sample41.0ms

Algorithm

intervals

Results

20.0ms

398×

body

valid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	8
1	69	8
2	134	8
3	225	8
4	378	8
5	598	8
6	815	8
7	1035	8
8	1143	8
9	1211	8
10	1211	8

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
0.0b	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
0.0b	(+ (* x y) (/ (* z t) 16.0))
0.2b	(/ (* a b) 4.0)

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
13×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `sum-log`
4×	`pow1` `diff-log`
3×	`associate-+l+` `flip3-+` `times-frac` `associate-/r*` `flip-+`
2×	`cbrt-undiv` `+-commutative` `sub-neg` `div-exp` `associate--l+` `frac-sub` `distribute-lft-out` `distribute-lft-out--`
1×	`associate-+l-` `flip3--` `frac-2neg` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `div-inv` `associate-/l*` `difference-of-squares`

Counts

4 → 69

Calls

4 calls:

123.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
37.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
4.0ms	(+ (* x y) (/ (* z t) 16.0))
3.0ms	(/ (* a b) 4.0)

series285.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
83.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
44.0ms	(+ (* x y) (/ (* z t) 16.0))
20.0ms	(/ (* a b) 4.0)

simplify44.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	374	628
1	1499	597
2	5001	590

prune225.0ms

Filtered

81 candidates to 60 candidates (74.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- (+ (* x y) (/ (* z t) 16.0)) (* a (/ b 4.0))) c)
0.0b	(+ (* x y) (/ (* z t) 16.0))
0.0b	(- (+ (* x y) (/ (* z t) 16.0)) (* a (/ b 4.0)))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
6×	`sum-log`
5×	`*-un-lft-identity`
4×	`diff-log`
3×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `sub-neg` `associate-*r/` `associate--l+` `frac-sub`
1×	`associate-+l-` `flip3--` `flip--` `distribute-lft-out`

Counts

3 → 45

Calls

3 calls:

107.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (* a (/ b 4.0))) c)
4.0ms	(+ (* x y) (/ (* z t) 16.0))
36.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (* a (/ b 4.0)))

series265.0ms

Counts

3 → 9

Calls

3 calls:

140.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (* a (/ b 4.0))) c)
44.0ms	(+ (* x y) (/ (* z t) 16.0))
81.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (* a (/ b 4.0)))

simplify34.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	284	515
1	1054	494
2	5002	487

prune159.0ms

Filtered

54 candidates to 42 candidates (77.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (/ (* z t) 16.0))
0.4b	(/ (/ (* a b) (* (cbrt 4.0) (cbrt 4.0))) (cbrt 4.0))
0.4b	(/ (* a b) (* (cbrt 4.0) (cbrt 4.0)))
1.0b	(* (cbrt 4.0) (cbrt 4.0))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
38×	`times-frac`
36×	`add-exp-log`
34×	`cbrt-prod`
31×	`add-cube-cbrt` `*-un-lft-identity`
21×	`add-cbrt-cube`
13×	`cbrt-undiv` `div-exp`
11×	`pow1`
9×	`prod-exp` `cbrt-unprod` `div-inv`
7×	`associate-/r*`
6×	`pow1/3` `swap-sqr` `associate-r` `associate-l` `associate-/l*` `add-log-exp`
4×	`unswap-sqr`
2×	`frac-2neg` `pow-prod-down` `clear-num` `pow-sqr` `pow-prod-up`
1×	`+-commutative` `pow2` `flip3-+` `pow-plus` `sum-log` `*-commutative` `flip-+` `associate-/l/`

Counts

4 → 134

Calls

4 calls:

4.0ms	(+ (* x y) (/ (* z t) 16.0))
9.0ms	(/ (/ (* a b) (* (cbrt 4.0) (cbrt 4.0))) (cbrt 4.0))
5.0ms	(/ (* a b) (* (cbrt 4.0) (cbrt 4.0)))
6.0ms	(* (cbrt 4.0) (cbrt 4.0))

series269.0ms

Counts

4 → 10

Calls

4 calls:

40.0ms	(+ (* x y) (/ (* z t) 16.0))
92.0ms	(/ (/ (* a b) (* (cbrt 4.0) (cbrt 4.0))) (cbrt 4.0))
137.0ms	(/ (* a b) (* (cbrt 4.0) (cbrt 4.0)))
0.0ms	(* (cbrt 4.0) (cbrt 4.0))

simplify71.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	484	1119
1	2484	971
2	5001	922

prune440.0ms

Filtered

144 candidates to 94 candidates (65.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ (* z t) 16.0) (/ (* z t) 16.0))
0.3b	(* (* x y) (* x y))
2.0b	(- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0)))
26.1b	(/ (- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0))) (- (* x y) (/ (* z t) 16.0)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-exp-log` `add-cbrt-cube`
50×	`pow1`
24×	`times-frac`
23×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`pow-prod-down`
13×	`cbrt-undiv` `div-exp`
8×	`swap-sqr` `associate-r` `associate-l`
6×	`add-log-exp`
5×	`pow-sqr` `pow-prod-up` `div-inv` `difference-of-squares`
4×	`associate-/l*`
3×	`flip3--` `pow-plus` `associate-/r*` `flip--`
2×	`pow2` `associate-/r/` `*-commutative` `associate-/l/`
1×	`frac-times` `sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-r/` `associate-l/` `clear-num` `unswap-sqr`

Counts

4 → 139

Calls

4 calls:

15.0ms	(* (/ (* z t) 16.0) (/ (* z t) 16.0))
10.0ms	(* (* x y) (* x y))
10.0ms	(- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0)))
38.0ms	(/ (- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0))) (- (* x y) (/ (* z t) 16.0)))

series286.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (/ (* z t) 16.0) (/ (* z t) 16.0))
30.0ms	(* (* x y) (* x y))
127.0ms	(- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0)))
96.0ms	(/ (- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0))) (- (* x y) (/ (* z t) 16.0)))

simplify112.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (93.0ms)

Iter	Nodes	Cost
0	616	1413
1	3710	1153
2	5001	1117

prune393.0ms

Filtered

151 candidates to 88 candidates (58.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes350.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	8
1	22	8

end0.0ms

sample985.0ms

Algorithm

intervals

Results

517.0ms

11732×

body

valid