Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

327×

body

valid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	3
1	24	3
2	40	3
3	66	3
4	86	3
5	97	3
6	118	3
7	159	3
8	244	3
9	442	3
10	626	3
11	691	3
12	738	3
13	765	3
14	765	3

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* (- x 1.0) z))
0.0b	(* (- x 1.0) z)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u`
1×	`+-commutative` `flip3--` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 38

Calls

2 calls:

4.0ms	(+ (* x y) (* (- x 1.0) z))
6.0ms	(* (- x 1.0) z)

series63.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (* x y) (* (- x 1.0) z))
29.0ms	(* (- x 1.0) z)

simplify106.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	199	197
1	834	176
2	4327	176
3	5001	176

prune91.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
0.0b	(- (* x x) (* 1.0 1.0))
2.9b	(* (- (* x x) (* 1.0 1.0)) z)
6.4b	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1`
4×	`expm1-log1p-u` `times-frac` `associate-l` `associate-l/` `associate-/r` `log1p-expm1-u`
3×	`flip3--` `associate-r` `flip--`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `associate-/l/` `distribute-lft-out` `difference-of-squares`
1×	`+-commutative` `sub-neg` `fma-def` `frac-2neg` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

7.0ms	(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
4.0ms	(- (* x x) (* 1.0 1.0))
6.0ms	(* (- (* x x) (* 1.0 1.0)) z)
9.0ms	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

series194.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
42.0ms	(- (* x x) (* 1.0 1.0))
41.0ms	(* (- (* x x) (* 1.0 1.0)) z)
60.0ms	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

simplify55.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	405	663
1	1809	588
2	5003	571

prune222.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (pow x 3) (pow 1.0 3))
0.0b	(+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))
2.8b	(* (- (pow x 3) (pow 1.0 3)) z)
10.9b	(/ (* (- (pow x 3) (pow 1.0 3)) z) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

144×	`prod-diff`
133×	`add-sqr-sqrt`
103×	`*-un-lft-identity`
99×	`unpow-prod-down` `cube-prod`
83×	`add-cube-cbrt`
41×	`sqr-pow`
32×	`difference-of-squares`
25×	`cube-mult` `unpow3` `associate-l`
12×	`fma-neg`
11×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
10×	`distribute-lft-out--`
6×	`pow1`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u`
3×	`flip3--` `times-frac` `associate-r` `associate-/r*` `sum-log` `flip--`
2×	`difference-cubes` `cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`+-commutative` `sub-neg` `associate-+r+` `fma-def` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 279

Calls

4 calls:

17.0ms	(- (pow x 3) (pow 1.0 3))
6.0ms	(+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))
16.0ms	(* (- (pow x 3) (pow 1.0 3)) z)
20.0ms	(/ (* (- (pow x 3) (pow 1.0 3)) z) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

series210.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(- (pow x 3) (pow 1.0 3))
25.0ms	(+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))
39.0ms	(* (- (pow x 3) (pow 1.0 3)) z)
85.0ms	(/ (* (- (pow x 3) (pow 1.0 3)) z) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

simplify155.0ms

Algorithm

egg-herbie

Counts

291 → 291

Iterations

Useful iterations: 2 (119.0ms)

Iter	Nodes	Cost
0	735	2664
1	3385	1922
2	5001	1904

prune433.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes70.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample457.0ms

Algorithm

intervals

Results

243.0ms

10100×

body

valid

Iter	Nodes	Cost
0	14	3
1	24	3
2	40	3
3	66	3
4	86	3
5	97	3
6	118	3
7	159	3
8	244	3
9	442	3
10	626	3
11	691	3
12	738	3
13	765	3
14	765	3

Iter	Nodes	Cost
0	14	3
1	24	3
2	40	3
3	66	3
4	86	3
5	97	3
6	118	3
7	159	3
8	244	3
9	442	3
10	626	3
11	691	3
12	738	3
13	765	3
14	765	3

Iter	Nodes	Cost
0	14	3
1	24	3
2	40	3
3	66	3
4	86	3
5	97	3
6	118	3
7	159	3
8	244	3
9	442	3
10	626	3
11	691	3
12	738	3
13	765	3
14	765	3