Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

323×

body

valid

simplify41.0ms

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

prune5.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

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:

1.0ms	(fma x y (* (- x 1.0) z))
6.0ms	(* (- x 1.0) z)

series64.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(fma x y (* (- x 1.0) z))
29.0ms	(* (- x 1.0) z)

simplify50.0ms

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

prune77.0ms

Filtered

40 candidates to 30 candidates (75.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	2	41

Merged error: 0.0b

Counts

41 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x y (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
3.1b	(* (- (* x x) (* 1.0 1.0)) z)
6.0b	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

375×	`add-sqr-sqrt`
222×	`associate-l`
221×	`*-un-lft-identity`
168×	`times-frac`
150×	`difference-of-squares`
72×	`swap-sqr`
66×	`*-commutative` `unswap-sqr`
63×	`add-cube-cbrt`
43×	`distribute-lft-out`
42×	`associate-/l*`
30×	`distribute-lft-out--`
18×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
4×	`associate-l/` `associate-/r`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--` `cbrt-unprod` `associate-/l/`
1×	`frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `flip-+` `fma-udef` `div-inv`

Counts

3 → 296

Calls

3 calls:

1.0ms	(fma x y (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
21.0ms	(* (- (* x x) (* 1.0 1.0)) z)
33.0ms	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

series162.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(fma x y (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
47.0ms	(* (- (* x x) (* 1.0 1.0)) z)
55.0ms	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

simplify93.0ms

Algorithm

egg-herbie

Counts

305 → 305

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	662	2464
1	2985	2371
2	5001	2367

prune366.0ms

Filtered

305 candidates to 121 candidates (39.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	305	0	305
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	305	2	307

Merged error: 0.0b

Counts

307 → 2

regimes41.0ms

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

sample416.0ms

Algorithm

intervals

Results

221.0ms

10029×

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