Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

327×

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))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify60.0ms

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

prune29.0ms

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

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- 1.0 x) y (* x z))
0.0b	(sqrt (fma (- 1.0 x) y (* x z)))
0.0b	(sqrt (fma (- 1.0 x) y (* x z)))
0.3b	(* (sqrt (fma (- 1.0 x) y (* x z))) (sqrt (fma (- 1.0 x) y (* x z))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 91

Calls

4 calls:

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

series456.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(fma (- 1.0 x) y (* x z))
189.0ms	(sqrt (fma (- 1.0 x) y (* x z)))
186.0ms	(sqrt (fma (- 1.0 x) y (* x z)))
38.0ms	(* (sqrt (fma (- 1.0 x) y (* x z))) (sqrt (fma (- 1.0 x) y (* x z))))

simplify171.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	200	616
1	683	524
2	3877	498
3	5001	498

prune189.0ms

Filtered

103 candidates to 60 candidates (58.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	102	3	105

Merged error: 0.0b

Counts

105 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fma (- 1.0 x) y (* x z)))
0.2b	(pow (sqrt (fma (- 1.0 x) y (* x z))) 3)
0.3b	(* (sqrt (fma (- 1.0 x) y (* x z))) (cbrt (pow (sqrt (fma (- 1.0 x) y (* x z))) 3)))
8.0b	(cbrt (pow (sqrt (fma (- 1.0 x) y (* x z))) 3))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
48×	`cbrt-prod`
35×	`sqrt-prod`
23×	`add-cube-cbrt` `*-un-lft-identity`
22×	`unpow-prod-down` `cube-prod`
21×	`associate-r`
14×	`unswap-sqr`
9×	`pow1`
7×	`add-exp-log`
6×	`associate-l` `add-cbrt-cube`
5×	`sqr-pow`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cube-mult` `pow-unpow` `pow-pow` `unpow3`
2×	`sqrt-pow1` `pow1/2`
1×	`pow-to-exp` `rem-sqrt-square` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `sqrt-pow2` `rem-cbrt-cube` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 132

Calls

4 calls:

2.0ms	(sqrt (fma (- 1.0 x) y (* x z)))
3.0ms	(pow (sqrt (fma (- 1.0 x) y (* x z))) 3)
14.0ms	(* (sqrt (fma (- 1.0 x) y (* x z))) (cbrt (pow (sqrt (fma (- 1.0 x) y (* x z))) 3)))
3.0ms	(cbrt (pow (sqrt (fma (- 1.0 x) y (* x z))) 3))

series1.1s

Counts

4 → 12

Calls

4 calls:

190.0ms	(sqrt (fma (- 1.0 x) y (* x z)))
648.0ms	(pow (sqrt (fma (- 1.0 x) y (* x z))) 3)
39.0ms	(* (sqrt (fma (- 1.0 x) y (* x z))) (cbrt (pow (sqrt (fma (- 1.0 x) y (* x z))) 3)))
188.0ms	(cbrt (pow (sqrt (fma (- 1.0 x) y (* x z))) 3))

simplify72.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	353	1259
1	1433	964
2	5002	887

prune270.0ms

Filtered

144 candidates to 72 candidates (50.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	143	1	144
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	143	4	147

Merged error: 0b

Counts

147 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (sqrt (pow (sqrt (fma (- 1.0 x) y (* x z))) 3)))
0.3b	(cbrt (sqrt (pow (sqrt (fma (- 1.0 x) y (* x z))) 3)))
7.8b	(sqrt (pow (sqrt (fma (- 1.0 x) y (* x z))) 3))
7.8b	(sqrt (pow (sqrt (fma (- 1.0 x) y (* x z))) 3))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

100×	`sqrt-prod`
42×	`cbrt-prod`
36×	`add-sqr-sqrt`
28×	`unpow-prod-down` `cube-prod`
26×	`add-cube-cbrt` `*-un-lft-identity`
12×	`rem-sqrt-square`
6×	`sqr-pow`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `cube-mult` `unpow3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`sqrt-pow1` `pow1/2` `pow1/3`

Counts

4 → 132

Calls

4 calls:

5.0ms	(cbrt (sqrt (pow (sqrt (fma (- 1.0 x) y (* x z))) 3)))
4.0ms	(cbrt (sqrt (pow (sqrt (fma (- 1.0 x) y (* x z))) 3)))
4.0ms	(sqrt (pow (sqrt (fma (- 1.0 x) y (* x z))) 3))
4.0ms	(sqrt (pow (sqrt (fma (- 1.0 x) y (* x z))) 3))

series1.1s

Counts

4 → 12

Calls

4 calls:

207.0ms	(cbrt (sqrt (pow (sqrt (fma (- 1.0 x) y (* x z))) 3)))
209.0ms	(cbrt (sqrt (pow (sqrt (fma (- 1.0 x) y (* x z))) 3)))
346.0ms	(sqrt (pow (sqrt (fma (- 1.0 x) y (* x z))) 3))
353.0ms	(sqrt (pow (sqrt (fma (- 1.0 x) y (* x z))) 3))

simplify116.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 3 (96.0ms)

Iter	Nodes	Cost
0	353	1718
1	910	1608
2	3414	1584
3	5001	1576

prune428.0ms

Filtered

144 candidates to 82 candidates (56.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	144	4	148

Merged error: 0b

Counts

148 → 4

regimes69.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample517.0ms

Algorithm

intervals

Results

300.0ms

10128×

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