Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

350×

body

valid

simplify94.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 8 (47.0ms)

Iter	Nodes	Cost
0	27	6
1	63	6
2	154	5
3	323	5
4	426	5
5	528	5
6	604	5
7	832	5
8	1464	4
9	2035	4
10	2064	4
11	2064	4

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 2

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x 3.0) 4.0)
0.1b	(fma x (- (* x 3.0) 4.0) 1.0)
0.1b	(* (fma x (- (* x 3.0) 4.0) 1.0) 3.0)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`expm1-log1p-u` `associate-r` `associate-l` `prod-diff` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

3 → 48

Calls

3 calls:

4.0ms	(- (* x 3.0) 4.0)
1.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
4.0ms	(* (fma x (- (* x 3.0) 4.0) 1.0) 3.0)

series114.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(- (* x 3.0) 4.0)
31.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
39.0ms	(* (fma x (- (* x 3.0) 4.0) 1.0) 3.0)

simplify102.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	206	296
1	694	240
2	4260	237
3	5001	233

prune105.0ms

Filtered

57 candidates to 41 candidates (71.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	51	6	57
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	53	6	59

Merged error: 0.0b

Counts

59 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma x (- (* 9.0 x) 12.0) 3.0)

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 x (- (* 9.0 x) 12.0) 3.0)

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(fma x (- (* 9.0 x) 12.0) 3.0)

simplify67.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	42	66
1	95	53
2	390	53
3	2029	53
4	5002	53

prune33.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	13	6	19

Merged error: 0.0b

Counts

19 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma x (/ (* (fma x 3.0 4.0) (- (* x 3.0) 4.0)) (fma x 3.0 4.0)) 1.0)
0.1b	(* (fma x (/ (* (fma x 3.0 4.0) (- (* x 3.0) 4.0)) (fma x 3.0 4.0)) 1.0) 3.0)
0.2b	(* (fma x 3.0 4.0) (- (* x 3.0) 4.0))
0.2b	(/ (* (fma x 3.0 4.0) (- (* x 3.0) 4.0)) (fma x 3.0 4.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt` `*-un-lft-identity`
8×	`pow1`
6×	`associate-r` `associate-l` `prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `sub-neg` `flip3--` `div-exp` `pow-prod-down` `*-commutative` `flip--` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `clear-num` `fma-udef` `div-inv` `associate-/l*`

Counts

4 → 87

Calls

4 calls:

1.0ms	(fma x (/ (* (fma x 3.0 4.0) (- (* x 3.0) 4.0)) (fma x 3.0 4.0)) 1.0)
3.0ms	(* (fma x (/ (* (fma x 3.0 4.0) (- (* x 3.0) 4.0)) (fma x 3.0 4.0)) 1.0) 3.0)
7.0ms	(* (fma x 3.0 4.0) (- (* x 3.0) 4.0))
8.0ms	(/ (* (fma x 3.0 4.0) (- (* x 3.0) 4.0)) (fma x 3.0 4.0))

series239.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(fma x (/ (* (fma x 3.0 4.0) (- (* x 3.0) 4.0)) (fma x 3.0 4.0)) 1.0)
45.0ms	(* (fma x (/ (* (fma x 3.0 4.0) (- (* x 3.0) 4.0)) (fma x 3.0 4.0)) 1.0) 3.0)
118.0ms	(* (fma x 3.0 4.0) (- (* x 3.0) 4.0))
45.0ms	(/ (* (fma x 3.0 4.0) (- (* x 3.0) 4.0)) (fma x 3.0 4.0))

simplify74.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	374	827
1	1975	679
2	5001	646

prune191.0ms

Filtered

99 candidates to 69 candidates (69.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	101	4	105

Merged error: 0b

Counts

105 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 3.0 (* 12.0 x))
0.1b	(fma (pow x 2) 9.0 (- 3.0 (* 12.0 x)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`fma-neg` `prod-diff`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `fma-udef`

Counts

2 → 30

Calls

2 calls:

3.0ms	(- 3.0 (* 12.0 x))
1.0ms	(fma (pow x 2) 9.0 (- 3.0 (* 12.0 x)))

series66.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(- 3.0 (* 12.0 x))
24.0ms	(fma (pow x 2) 9.0 (- 3.0 (* 12.0 x)))

simplify59.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	120	170
1	350	149
2	1768	148
3	5001	131

prune62.0ms

Filtered

36 candidates to 26 candidates (72.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	36	4	40

Merged error: 0b

Counts

40 → 4

regimes20.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample367.0ms

Algorithm

intervals

Results

255.0ms

10583×

body

valid