Details

sample20.0ms

Algorithm

intervals

Results

9.0ms	314×	body	80	valid
0.0ms	1×	body	320	valid

simplify29.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	20	5
1	50	4
2	148	4
3	318	4
4	473	4
5	485	4
6	485	4

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

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma d1 d2 (* (+ d3 5.0) d1))
0.0b	(* (+ d3 5.0) d1)
0.0b	(fma 32.0 d1 (fma d1 d2 (* (+ d3 5.0) d1)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 43

Calls

3 calls:

2.0ms	(fma d1 d2 (* (+ d3 5.0) d1))
6.0ms	(* (+ d3 5.0) d1)
1.0ms	(fma 32.0 d1 (fma d1 d2 (* (+ d3 5.0) d1)))

series117.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(fma d1 d2 (* (+ d3 5.0) d1))
28.0ms	(* (+ d3 5.0) d1)
50.0ms	(fma 32.0 d1 (fma d1 d2 (* (+ d3 5.0) d1)))

simplify72.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	155	218
1	551	192
2	2646	192
3	5003	192

prune99.0ms

Filtered

52 candidates to 42 candidates (80.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	3	53

Merged error: 0b

Counts

53 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma d1 d3 (* d1 d2))
0.0b	(fma 37.0 d1 (fma d1 d3 (* d1 d2)))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 20

Calls

2 calls:

1.0ms	(fma d1 d3 (* d1 d2))
1.0ms	(fma 37.0 d1 (fma d1 d3 (* d1 d2)))

series81.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(fma d1 d3 (* d1 d2))
45.0ms	(fma 37.0 d1 (fma d1 d3 (* d1 d2)))

simplify37.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	42	101
1	148	89
2	781	89
3	5001	89

prune45.0ms

Filtered

26 candidates to 20 candidates (76.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	26	3	29

Merged error: 0b

Counts

29 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ d3 5.0) d1)
0.1b	(sqrt (fma d1 d2 (* (+ d3 5.0) d1)))
0.1b	(sqrt (fma d1 d2 (* (+ d3 5.0) d1)))
0.2b	(* (sqrt (fma d1 d2 (* (+ d3 5.0) d1))) (sqrt (fma d1 d2 (* (+ d3 5.0) d1))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
24×	`sqrt-prod`
23×	`pow1`
18×	`*-un-lft-identity`
16×	`add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2` `associate-l`
9×	`associate-r`
8×	`add-exp-log` `swap-sqr` `add-cbrt-cube`
5×	`pow-prod-up` `unswap-sqr`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod`
1×	`pow2` `flip3-+` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `flip-+` `distribute-lft-out`

Counts

4 → 104

Calls

4 calls:

6.0ms	(* (+ d3 5.0) d1)
1.0ms	(sqrt (fma d1 d2 (* (+ d3 5.0) d1)))
1.0ms	(sqrt (fma d1 d2 (* (+ d3 5.0) d1)))
6.0ms	(* (sqrt (fma d1 d2 (* (+ d3 5.0) d1))) (sqrt (fma d1 d2 (* (+ d3 5.0) d1))))

series207.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (+ d3 5.0) d1)
71.0ms	(sqrt (fma d1 d2 (* (+ d3 5.0) d1)))
70.0ms	(sqrt (fma d1 d2 (* (+ d3 5.0) d1)))
38.0ms	(* (sqrt (fma d1 d2 (* (+ d3 5.0) d1))) (sqrt (fma d1 d2 (* (+ d3 5.0) d1))))

simplify54.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	274	645
1	1071	562
2	5001	530

prune198.0ms

Filtered

116 candidates to 70 candidates (60.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	116	3	119

Merged error: 0b

Counts

119 → 3

regimes81.0ms

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

sample514.0ms

Algorithm

intervals

Results

300.0ms	10064×	body	80	valid
1.0ms	14×	body	640	valid
1.0ms	13×	body	320	valid
1.0ms	5×	body	1280	valid
0.0ms	5×	body	160	valid