Details

sample36.0ms

Algorithm

intervals

Results

16.0ms

384×

body

valid

simplify56.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

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))
0.2b	(/ (* a b) 4.0)

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

125.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
4.0ms	(+ (* x y) (/ (* z t) 16.0))
3.0ms	(/ (* a b) 4.0)

series211.0ms

Counts

3 → 9

Calls

3 calls:

146.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
45.0ms	(+ (* x y) (/ (* z t) 16.0))
20.0ms	(/ (* a b) 4.0)

simplify37.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	312	402
1	1219	359
2	5002	359

prune185.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 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))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 29

Calls

2 calls:

108.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (* a (/ b 4.0))) c)
5.0ms	(+ (* x y) (/ (* z t) 16.0))

series189.0ms

Counts

2 → 6

Calls

2 calls:

144.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (* a (/ b 4.0))) c)
45.0ms	(+ (* x y) (/ (* z t) 16.0))

simplify91.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	217	309
1	723	281
2	3345	274
3	5001	274

prune114.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (/ (* z t) 16.0))) (cbrt (+ (* x y) (/ (* z t) 16.0))))
1.3b	(cbrt (+ (* x y) (/ (* z t) 16.0)))
1.3b	(cbrt (+ (* x y) (/ (* z t) 16.0)))
1.3b	(cbrt (+ (* x y) (/ (* z t) 16.0)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

32.0ms	(* (cbrt (+ (* x y) (/ (* z t) 16.0))) (cbrt (+ (* x y) (/ (* z t) 16.0))))
4.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))
4.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))
4.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))

series519.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(* (cbrt (+ (* x y) (/ (* z t) 16.0))) (cbrt (+ (* x y) (/ (* z t) 16.0))))
119.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))
123.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))
131.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))

simplify92.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	328	1262
1	1070	1181
2	4053	1092
3	5003	1082

prune400.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

1.3b	(cbrt (+ (* x y) (/ (* z t) 16.0)))
1.3b	(cbrt (+ (* x y) (/ (* z t) 16.0)))
1.3b	(cbrt (+ (* x y) (/ (* z t) 16.0)))
1.3b	(cbrt (+ (* x y) (/ (* z t) 16.0)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

4.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))
4.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))
4.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))
4.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))

series494.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))
122.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))
125.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))
128.0ms	(cbrt (+ (* x y) (/ (* z t) 16.0)))

simplify132.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (41.0ms)

Iter	Nodes	Cost
0	187	668
1	492	624
2	1548	600
3	4973	596
4	5001	596

prune403.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes352.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b 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

sample977.0ms

Algorithm

intervals

Results

524.0ms

11974×

body

valid