Details

sample54.0ms

Algorithm

intervals

Results

34.0ms

393×

body

valid

simplify58.0ms

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: 0.5b

localize14.0ms

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))
0.2b	(/ (* a b) 4.0)
0.2b	(/ (* z t) 16.0)

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

127.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
38.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
3.0ms	(/ (* a b) 4.0)
3.0ms	(/ (* z t) 16.0)

series268.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
86.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
21.0ms	(/ (* a b) 4.0)
17.0ms	(/ (* z t) 16.0)

simplify54.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	457	624
1	1901	583
2	5001	583

prune276.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
51×	`times-frac`
39×	`*-un-lft-identity`
32×	`add-cube-cbrt`
24×	`sqrt-prod`
22×	`associate-r` `associate-l`
21×	`add-exp-log` `add-cbrt-cube`
18×	`add-log-exp`
9×	`unswap-sqr`
6×	`pow1` `cbrt-undiv` `div-exp`
5×	`prod-exp` `sum-log` `cbrt-unprod`
4×	`diff-log`
3×	`associate-+l+` `associate-/r*` `div-inv`
2×	`sub-neg` `flip3-+` `associate--l+` `frac-sub` `flip-+` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `frac-times` `associate-+l-` `flip3--` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `flip--` `associate-/l` `difference-of-squares`

Counts

4 → 131

Calls

4 calls:

64.0ms	(+ (- (+ (* x y) (* (/ z (sqrt 16.0)) (/ t (sqrt 16.0)))) (/ (* a b) 4.0)) c)
26.0ms	(* (/ z (sqrt 16.0)) (/ t (sqrt 16.0)))
17.0ms	(- (+ (* x y) (* (/ z (sqrt 16.0)) (/ t (sqrt 16.0)))) (/ (* a b) 4.0))
3.0ms	(/ (* a b) 4.0)

series848.0ms

Counts

4 → 12

Calls

4 calls:

407.0ms	(+ (- (+ (* x y) (* (/ z (sqrt 16.0)) (/ t (sqrt 16.0)))) (/ (* a b) 4.0)) c)
131.0ms	(* (/ z (sqrt 16.0)) (/ t (sqrt 16.0)))
288.0ms	(- (+ (* x y) (* (/ z (sqrt 16.0)) (/ t (sqrt 16.0)))) (/ (* a b) 4.0))
21.0ms	(/ (* a b) 4.0)

simplify76.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	719	1291
1	3131	1193
2	5001	1128

prune469.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-sqr-sqrt`
48×	`times-frac`
31×	`*-un-lft-identity`
29×	`add-cube-cbrt`
24×	`sqrt-prod`
22×	`associate-r` `associate-l`
17×	`add-log-exp`
15×	`add-exp-log` `add-cbrt-cube`
9×	`unswap-sqr`
5×	`pow1` `sum-log`
4×	`cbrt-undiv` `diff-log` `div-exp` `prod-exp` `cbrt-unprod`
3×	`associate-+l+` `associate-*r/`
2×	`sub-neg` `flip3-+` `associate--l+` `frac-sub` `flip-+` `div-inv`
1×	`+-commutative` `frac-times` `associate-+l-` `flip3--` `pow-prod-down` `associate-l/` `-commutative` `flip--` `distribute-lft-out`

Counts

3 → 107

Calls

3 calls:

50.0ms	(+ (- (+ (* x y) (* (/ z (sqrt 16.0)) (/ t (sqrt 16.0)))) (* a (/ b 4.0))) c)
27.0ms	(* (/ z (sqrt 16.0)) (/ t (sqrt 16.0)))
16.0ms	(- (+ (* x y) (* (/ z (sqrt 16.0)) (/ t (sqrt 16.0)))) (* a (/ b 4.0)))

series810.0ms

Counts

3 → 9

Calls

3 calls:

400.0ms	(+ (- (+ (* x y) (* (/ z (sqrt 16.0)) (/ t (sqrt 16.0)))) (* a (/ b 4.0))) c)
131.0ms	(* (/ z (sqrt 16.0)) (/ t (sqrt 16.0)))
278.0ms	(- (+ (* x y) (* (/ z (sqrt 16.0)) (/ t (sqrt 16.0)))) (* a (/ b 4.0)))

simplify69.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	630	1166
1	2678	1078
2	5001	1010

prune373.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ z (sqrt 16.0)) (/ t (sqrt 16.0)))
0.0b	(- (+ (* x y) (* (/ z (sqrt 16.0)) (/ t (sqrt 16.0)))) (/ 1 (/ 4.0 (* a b))))
0.4b	(/ 4.0 (* a b))
0.7b	(/ 1 (/ 4.0 (* a b)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

86×	`times-frac`
85×	`add-sqr-sqrt`
52×	`*-un-lft-identity`
48×	`add-cube-cbrt`
42×	`add-exp-log`
30×	`add-cbrt-cube`
24×	`sqrt-prod`
22×	`associate-r` `associate-l`
18×	`div-exp`
11×	`cbrt-undiv`
9×	`div-inv` `add-log-exp` `unswap-sqr`
8×	`prod-exp` `associate-/r*`
7×	`pow1`
6×	`cbrt-unprod` `associate-/l*`
3×	`rec-exp` `1-exp` `difference-of-squares`
2×	`frac-2neg` `diff-log` `clear-num` `frac-sub` `distribute-lft-out--`
1×	`frac-times` `sub-neg` `flip3--` `pow-flip` `flip3-+` `associate-r/` `pow-prod-down` `associate-l/` `associate--l+` `sum-log` `associate-/r/` `*-commutative` `flip--` `flip-+` `inv-pow`

Counts

4 → 171

Calls

4 calls:

25.0ms	(* (/ z (sqrt 16.0)) (/ t (sqrt 16.0)))
24.0ms	(- (+ (* x y) (* (/ z (sqrt 16.0)) (/ t (sqrt 16.0)))) (/ 1 (/ 4.0 (* a b))))
3.0ms	(/ 4.0 (* a b))
6.0ms	(/ 1 (/ 4.0 (* a b)))

series649.0ms

Counts

4 → 12

Calls

4 calls:

326.0ms	(* (/ z (sqrt 16.0)) (/ t (sqrt 16.0)))
281.0ms	(- (+ (* x y) (* (/ z (sqrt 16.0)) (/ t (sqrt 16.0)))) (/ 1 (/ 4.0 (* a b))))
22.0ms	(/ 4.0 (* a b))
20.0ms	(/ 1 (/ 4.0 (* a b)))

simplify92.0ms

Algorithm

egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	815	1430
1	3859	1247
2	5002	1208

prune488.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

regimes249.0ms

Accuracy

0% (0.1b 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	27	12
1	27	12

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.0s

11930×

body

valid