Details

sample19.0ms

Algorithm

intervals

Results

9.0ms	312×	body	80	valid
0.0ms	1×	body	320	valid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

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: 0.1b

Counts

2 → 1

localize11.0ms

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:

1.0ms	(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)))

series115.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(fma d1 d2 (* (+ d3 5.0) d1))
32.0ms	(* (+ d3 5.0) d1)
47.0ms	(fma 32.0 d1 (fma d1 d2 (* (+ d3 5.0) d1)))

simplify54.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	157	218
1	553	192
2	2658	192
3	5001	192

prune130.0ms

Filtered

52 candidates to 42 candidates (80.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	49	3	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	3	53

Merged error: 0b

Counts

53 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 37.0 d1 (fma d1 d3 (* d1 d2)))
0.0b	(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 37.0 d1 (fma d1 d3 (* d1 d2)))
1.0ms	(fma d1 d3 (* d1 d2))

series82.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(fma 37.0 d1 (fma d1 d3 (* d1 d2)))
41.0ms	(fma d1 d3 (* d1 d2))

simplify33.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	42	101
1	148	89
2	789	89
3	5001	89

prune57.0ms

Filtered

26 candidates to 20 candidates (76.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	26	3	29

Merged error: 0b

Counts

29 → 3

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma d1 d2 (pow (fma 5.0 d1 (* d1 d3)) 1))
0.0b	(fma 5.0 d1 (* d1 d3))
0.0b	(fma 32.0 d1 (fma d1 d2 (pow (fma 5.0 d1 (* d1 d3)) 1)))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`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

3 → 30

Calls

3 calls:

1.0ms	(fma d1 d2 (pow (fma 5.0 d1 (* d1 d3)) 1))
1.0ms	(fma 5.0 d1 (* d1 d3))
1.0ms	(fma 32.0 d1 (fma d1 d2 (pow (fma 5.0 d1 (* d1 d3)) 1)))

series144.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(fma d1 d2 (pow (fma 5.0 d1 (* d1 d3)) 1))
40.0ms	(fma 5.0 d1 (* d1 d3))
57.0ms	(fma 32.0 d1 (fma d1 d2 (pow (fma 5.0 d1 (* d1 d3)) 1)))

simplify37.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 3 (33.0ms)

Iter	Nodes	Cost
0	75	195
1	210	168
2	1062	167
3	5002	166

prune100.0ms

Filtered

39 candidates to 31 candidates (79.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	39	3	42

Merged error: 0b

Counts

42 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* d3 d3) (- (* 5.0 5.0) (* d3 5.0)))
0.0b	(fma 32.0 d1 (fma d1 d2 (/ (* (+ (pow d3 3) (pow 5.0 3)) d1) (+ (* d3 d3) (- (* 5.0 5.0) (* d3 5.0))))))
2.6b	(* (+ (pow d3 3) (pow 5.0 3)) d1)
16.3b	(/ (* (+ (pow d3 3) (pow 5.0 3)) d1) (+ (* d3 d3) (- (* 5.0 5.0) (* d3 5.0))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
9×	`associate-l` `add-log-exp`
8×	`add-cube-cbrt`
6×	`pow1`
5×	`distribute-lft-out`
4×	`expm1-log1p-u` `unpow-prod-down` `flip3-+` `cube-prod` `associate-*l/` `flip-+` `log1p-expm1-u`
3×	`associate-+r+` `times-frac` `associate-r` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `sum-log` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `associate-+r-` `sub-neg` `fma-def` `frac-2neg` `diff-log` `prod-diff` `pow-prod-down` `clear-num` `sum-cubes` `-commutative` `fma-udef` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

6.0ms	(+ (* d3 d3) (- (* 5.0 5.0) (* d3 5.0)))
1.0ms	(fma 32.0 d1 (fma d1 d2 (/ (* (+ (pow d3 3) (pow 5.0 3)) d1) (+ (* d3 d3) (- (* 5.0 5.0) (* d3 5.0))))))
14.0ms	(* (+ (pow d3 3) (pow 5.0 3)) d1)
22.0ms	(/ (* (+ (pow d3 3) (pow 5.0 3)) d1) (+ (* d3 d3) (- (* 5.0 5.0) (* d3 5.0))))

series294.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (* d3 d3) (- (* 5.0 5.0) (* d3 5.0)))
144.0ms	(fma 32.0 d1 (fma d1 d2 (/ (* (+ (pow d3 3) (pow 5.0 3)) d1) (+ (* d3 d3) (- (* 5.0 5.0) (* d3 5.0))))))
40.0ms	(* (+ (pow d3 3) (pow 5.0 3)) d1)
88.0ms	(/ (* (+ (pow d3 3) (pow 5.0 3)) d1) (+ (* d3 d3) (- (* 5.0 5.0) (* d3 5.0))))

simplify60.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	409	853
1	1911	721
2	5001	701

prune299.0ms

Filtered

96 candidates to 73 candidates (76.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	96	3	99

Merged error: 0b

Counts

99 → 3

regimes55.0ms

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

sample480.0ms

Algorithm

intervals

Results

277.0ms	9957×	body	80	valid
2.0ms	19×	body	640	valid
1.0ms	7×	body	1280	valid
1.0ms	11×	body	320	valid
0.0ms	2×	body	160	valid