Details

sample38.0ms

Algorithm

intervals

Results

10.0ms	190×	body	80	valid
9.0ms	23×	body	1280	valid
6.0ms	25×	body	640	valid
2.0ms	14×	body	320	valid
0.0ms	4×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	5
1	20	5
2	22	5
3	22	5

prune2.0ms

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 (sin y)) (* z (cos y)))
0.0b	(+ x (sin y))
0.1b	(* z (cos y))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`sum-log`
3×	`associate-r` `associate-l`
2×	`+-commutative` `flip3-+` `flip-+`
1×	`associate-+l+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

3 → 43

Calls

3 calls:

31.0ms	(+ (+ x (sin y)) (* z (cos y)))
6.0ms	(+ x (sin y))
9.0ms	(* z (cos y))

series110.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(+ (+ x (sin y)) (* z (cos y)))
26.0ms	(+ x (sin y))
40.0ms	(* z (cos y))

simplify73.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	196	244
1	694	228
2	2608	228
3	5001	228

prune114.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (cos y))
0.0b	(sqrt (cos y))
0.1b	(* z (sqrt (cos y)))
0.1b	(* (* z (sqrt (cos y))) (sqrt (cos y)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
12×	`associate-r`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

1.0ms	(sqrt (cos y))
1.0ms	(sqrt (cos y))
12.0ms	(* z (sqrt (cos y)))
26.0ms	(* (* z (sqrt (cos y))) (sqrt (cos y)))

series116.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(sqrt (cos y))
15.0ms	(sqrt (cos y))
51.0ms	(* z (sqrt (cos y)))
36.0ms	(* (* z (sqrt (cos y))) (sqrt (cos y)))

simplify75.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	157	356
1	711	312
2	2827	306
3	5001	306

prune166.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (- (* x x) (* (sin y) (sin y))) (- x (sin y))) (* z (cos y)))
0.1b	(* z (cos y))
0.2b	(* (sin y) (sin y))
19.5b	(/ (- (* x x) (* (sin y) (sin y))) (- x (sin y)))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
31×	`*-un-lft-identity`
21×	`add-cube-cbrt`
20×	`times-frac`
13×	`pow1`
11×	`difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
6×	`associate-r` `associate-l` `add-log-exp`
5×	`associate-/r*` `distribute-lft-out--`
4×	`associate-/l*`
3×	`swap-sqr`
2×	`flip3--` `div-sub` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `flip--` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `pow2` `associate-+l-` `frac-2neg` `flip3-+` `pow-plus` `div-exp` `clear-num` `sum-log` `pow-sqr` `pow-prod-up` `flip-+` `sqr-sin` `div-inv` `sin-mult`

Counts

4 → 103

Calls

4 calls:

70.0ms	(+ (/ (- (* x x) (* (sin y) (sin y))) (- x (sin y))) (* z (cos y)))
8.0ms	(* z (cos y))
11.0ms	(* (sin y) (sin y))
25.0ms	(/ (- (* x x) (* (sin y) (sin y))) (- x (sin y)))

series199.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(+ (/ (- (* x x) (* (sin y) (sin y))) (- x (sin y))) (* z (cos y)))
39.0ms	(* z (cos y))
18.0ms	(* (sin y) (sin y))
66.0ms	(/ (- (* x x) (* (sin y) (sin y))) (- x (sin y)))

simplify60.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	452	980
1	1976	868
2	5002	834

prune257.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (cos y))
0.2b	(/ 1 (/ (- x (sin y)) (- (* x x) (* (sin y) (sin y)))))
0.2b	(* (sin y) (sin y))
19.5b	(/ (- x (sin y)) (- (* x x) (* (sin y) (sin y))))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac`
134×	`add-sqr-sqrt`
130×	`*-un-lft-identity`
88×	`add-cube-cbrt`
47×	`difference-of-squares`
30×	`associate-/r*`
21×	`add-exp-log` `distribute-lft-out--`
15×	`add-cbrt-cube`
14×	`pow1`
11×	`associate-/r/`
8×	`div-exp` `associate-/l*`
6×	`flip3--` `associate-r` `associate-l` `flip--` `div-inv`
4×	`cbrt-undiv` `add-log-exp`
3×	`swap-sqr`
2×	`rec-exp` `frac-2neg` `1-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`pow2` `pow-flip` `pow-plus` `div-sub` `pow-sqr` `pow-prod-up` `sqr-sin` `sin-mult` `inv-pow`

Counts

4 → 219

Calls

4 calls:

8.0ms	(* z (cos y))
27.0ms	(/ 1 (/ (- x (sin y)) (- (* x x) (* (sin y) (sin y)))))
14.0ms	(* (sin y) (sin y))
24.0ms	(/ (- x (sin y)) (- (* x x) (* (sin y) (sin y))))

series282.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* z (cos y))
100.0ms	(/ 1 (/ (- x (sin y)) (- (* x x) (* (sin y) (sin y)))))
27.0ms	(* (sin y) (sin y))
113.0ms	(/ (- x (sin y)) (- (* x x) (* (sin y) (sin y))))

simplify150.0ms

Algorithm

egg-herbie

Counts

231 → 231

Iterations

Useful iterations: 2 (130.0ms)

Iter	Nodes	Cost
0	777	2942
1	4649	2525
2	5001	2501

prune518.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes85.0ms

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	11	5
1	11	5

end0.0ms

sample1.2s

Algorithm

intervals

Results

388.0ms	980×	body	1280	valid
287.0ms	5601×	body	80	valid
195.0ms	810×	body	640	valid
66.0ms	409×	body	320	valid
28.0ms	200×	body	160	valid