Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

312×

body

valid

simplify56.0ms

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	64	3
4	84	3
5	102	3
6	128	3
7	177	3
8	272	3
9	508	3
10	736	3
11	754	3
12	756	3
13	756	3

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (- 1.0 x) y (* x z))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(fma (- 1.0 x) y (* x z))

simplify64.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	35	65
1	74	52
2	314	52
3	1718	52
4	5001	52

prune27.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	12	1	13
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	2	14

Merged error: 0.0b

Counts

14 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (- 1.0 x) y (* x z))
0.1b	(pow (fma (- 1.0 x) y (* x z)) 3)
38.3b	(cbrt (pow (fma (- 1.0 x) y (* x z)) 3))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `fma-udef` `rem-cube-cbrt`

Counts

3 → 58

Calls

3 calls:

1.0ms	(fma (- 1.0 x) y (* x z))
2.0ms	(pow (fma (- 1.0 x) y (* x z)) 3)
3.0ms	(cbrt (pow (fma (- 1.0 x) y (* x z)) 3))

series210.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(fma (- 1.0 x) y (* x z))
128.0ms	(pow (fma (- 1.0 x) y (* x z)) 3)
44.0ms	(cbrt (pow (fma (- 1.0 x) y (* x z)) 3))

simplify53.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	197	404
1	816	369
2	5001	362

prune129.0ms

Filtered

67 candidates to 38 candidates (56.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	66	3	69

Merged error: 0.0b

Counts

69 → 3

localize21.0ms

Local error

Found 4 expressions with local error:

18.3b	(fma (* 3 (pow x 3)) (* z (pow y 2)) (- (* (pow x 3) (pow z 3)) (* 3 (* (pow x 3) (* (pow z 2) y)))))
19.0b	(* (pow x 3) (* (pow z 2) y))
19.8b	(* (pow x 3) (pow z 3))
31.9b	(cbrt (fma (* 3 (pow x 3)) (* z (pow y 2)) (- (* (pow x 3) (pow z 3)) (* 3 (* (pow x 3) (* (pow z 2) y))))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-exp-log`
38×	`add-sqr-sqrt`
30×	`prod-exp`
24×	`associate-l`
17×	`unpow-prod-down` `cube-prod`
16×	`unswap-sqr`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`pow-to-exp` `associate-r` `pow-exp`
11×	`add-cbrt-cube` `sqr-pow`
4×	`pow1` `expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `cube-mult` `unpow3`
2×	`*-commutative`
1×	`pow1/3` `pow-prod-down` `fma-udef`

Counts

4 → 121

Calls

4 calls:

1.0ms	(fma (* 3 (pow x 3)) (* z (pow y 2)) (- (* (pow x 3) (pow z 3)) (* 3 (* (pow x 3) (* (pow z 2) y)))))
8.0ms	(* (pow x 3) (* (pow z 2) y))
13.0ms	(* (pow x 3) (pow z 3))
2.0ms	(cbrt (fma (* 3 (pow x 3)) (* z (pow y 2)) (- (* (pow x 3) (pow z 3)) (* 3 (* (pow x 3) (* (pow z 2) y))))))

series468.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(fma (* 3 (pow x 3)) (* z (pow y 2)) (- (* (pow x 3) (pow z 3)) (* 3 (* (pow x 3) (* (pow z 2) y)))))
47.0ms	(* (pow x 3) (* (pow z 2) y))
74.0ms	(* (pow x 3) (pow z 3))
233.0ms	(cbrt (fma (* 3 (pow x 3)) (* z (pow y 2)) (- (* (pow x 3) (pow z 3)) (* 3 (* (pow x 3) (* (pow z 2) y))))))

simplify100.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	445	1052
1	2035	947
2	5002	929

prune409.0ms

Filtered

133 candidates to 80 candidates (60.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	133	3	136

Merged error: 0.0b

Counts

136 → 3

regimes60.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample482.0ms

Algorithm

intervals

Results

281.0ms

10104×

body

valid

Iter	Nodes	Cost
0	14	3
1	24	3
2	40	3
3	64	3
4	84	3
5	102	3
6	128	3
7	177	3
8	272	3
9	508	3
10	736	3
11	754	3
12	756	3
13	756	3

Iter	Nodes	Cost
0	14	3
1	24	3
2	40	3
3	64	3
4	84	3
5	102	3
6	128	3
7	177	3
8	272	3
9	508	3
10	736	3
11	754	3
12	756	3
13	756	3

Iter	Nodes	Cost
0	14	3
1	24	3
2	40	3
3	64	3
4	84	3
5	102	3
6	128	3
7	177	3
8	272	3
9	508	3
10	736	3
11	754	3
12	756	3
13	756	3