Details

sample31.0ms

Algorithm

intervals

Results

20.0ms

323×

body

valid

simplify41.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x 1.0) z)
0.0b	(fma x y (* (- 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`
3×	`associate-r`
2×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

9.0ms	(* (- x 1.0) z)
0.0ms	(fma x y (* (- x 1.0) z))

series66.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* (- x 1.0) z)
38.0ms	(fma x y (* (- x 1.0) z))

simplify53.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	133	158
1	462	135
2	2228	135
3	5001	135

prune84.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:

10.0ms	(* (- x 1.0) z)
3.0ms	(+ (* x y) (* (- x 1.0) z))

series61.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* (- x 1.0) z)
31.0ms	(+ (* x y) (* (- x 1.0) z))

simplify109.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 3 (105.0ms)

Iter	Nodes	Cost
0	199	197
1	834	176
2	4327	176
3	5001	175

prune88.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z))))
0.6b	(cbrt (+ (* x y) (* (- x 1.0) z)))
0.6b	(cbrt (+ (* x y) (* (- x 1.0) z)))
0.6b	(cbrt (+ (* x y) (* (- x 1.0) z)))

rewrite26.0ms

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×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `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 → 95

Calls

4 calls:

17.0ms	(* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z))))
2.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
2.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
2.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))

series671.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z))))
156.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
153.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
156.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))

simplify53.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	331	1339
1	1116	1258
2	5001	1150

prune283.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* x y) (* (- x 1.0) z)))
0.6b	(cbrt (+ (* x y) (* (- x 1.0) z)))
0.6b	(cbrt (+ (* x y) (* (- x 1.0) z)))
0.6b	(cbrt (+ (* x y) (* (- x 1.0) z)))

rewrite9.0ms

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` `expm1-log1p-u` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

2.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
2.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
2.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
2.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))

series639.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
161.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
163.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
156.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))

simplify74.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (63.0ms)

Iter	Nodes	Cost
0	186	736
1	534	692
2	2184	648
3	5002	612

prune296.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes61.0ms

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	8	3
1	8	3

end0.0ms

sample853.0ms

Algorithm

intervals

Results

638.0ms

10006×

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