Details

sample65.0ms

Algorithm

intervals

Results

32.0ms

360×

body

valid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

36.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
3.0ms	(/ (* a b) 4.0)
128.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)

series261.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
20.0ms	(/ (* a b) 4.0)
152.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)

simplify41.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	365	544
1	1448	513
2	5001	506

prune190.0ms

Pruning

2 alts after pruning (1 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)) (* (sqrt (/ (* a b) 4.0)) (sqrt (/ (* a b) 4.0)))) c)
0.3b	(* (sqrt (/ (* a b) 4.0)) (sqrt (/ (* a b) 4.0)))
6.8b	(sqrt (/ (* a b) 4.0))
6.8b	(sqrt (/ (* a b) 4.0))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

48×	`sqrt-prod`
34×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
21×	`pow1`
20×	`add-cube-cbrt`
18×	`times-frac`
13×	`add-log-exp`
12×	`swap-sqr`
10×	`sqrt-pow1` `pow1/2` `associate-r` `associate-l`
6×	`add-exp-log` `sqrt-div` `add-cbrt-cube` `div-inv`
5×	`pow-prod-up`
4×	`sum-log` `unswap-sqr`
3×	`associate-+l+` `pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `diff-log`
1×	`+-commutative` `pow2` `frac-times` `associate-+l-` `sub-neg` `flip3-+` `pow-plus` `sqrt-unprod` `associate-r/` `associate-l/` `prod-exp` `associate--l+` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out`

Counts

4 → 118

Calls

4 calls:

116.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (* (sqrt (/ (* a b) 4.0)) (sqrt (/ (* a b) 4.0)))) c)
19.0ms	(* (sqrt (/ (* a b) 4.0)) (sqrt (/ (* a b) 4.0)))
2.0ms	(sqrt (/ (* a b) 4.0))
3.0ms	(sqrt (/ (* a b) 4.0))

series621.0ms

Counts

4 → 12

Calls

4 calls:

301.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (* (sqrt (/ (* a b) 4.0)) (sqrt (/ (* a b) 4.0)))) c)
82.0ms	(* (sqrt (/ (* a b) 4.0)) (sqrt (/ (* a b) 4.0)))
119.0ms	(sqrt (/ (* a b) 4.0))
118.0ms	(sqrt (/ (* a b) 4.0))

simplify55.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	349	890
1	1447	754
2	5001	722

prune376.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes320.0ms

Accuracy

0% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	8
1	22	8

end0.0ms

sample986.0ms

Algorithm

intervals

Results

523.0ms

12010×

body

valid