Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

301×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	3
1	24	3
2	52	3
3	88	3
4	102	3
5	102	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 3.6b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (* y z))
3.4b	(* x (- 1.0 (* y z)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`prod-diff`
8×	`add-cube-cbrt` `*-un-lft-identity`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`sub-neg` `fma-neg` `associate-r` `associate-l`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 52

Calls

2 calls:

3.0ms	(- 1.0 (* y z))
6.0ms	(* x (- 1.0 (* y z)))

series68.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(- 1.0 (* y z))
46.0ms	(* x (- 1.0 (* y z)))

simplify78.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	175	291
1	678	254
2	2734	247
3	5001	229

prune88.0ms

Filtered

58 candidates to 36 candidates (62.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	50	8	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	8	59

Merged error: 3.5b

Counts

59 → 8

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (* y z))
3.4b	(* x (- 1.0 (* y z)))
49.9b	(fma (- z) y (* z y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

3.0ms	(- 1.0 (* y z))
6.0ms	(* x (- 1.0 (* y z)))
1.0ms	(fma (- z) y (* z y))

series98.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(- 1.0 (* y z))
45.0ms	(* x (- 1.0 (* y z)))
29.0ms	(fma (- z) y (* z y))

simplify79.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (73.0ms)

Iter	Nodes	Cost
0	185	341
1	721	297
2	2920	290
3	5001	267

prune132.0ms

Filtered

71 candidates to 48 candidates (67.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	71	8	79

Merged error: 3.5b

Counts

79 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* x (- (* y z))))
6.7b	(* x (- (* y z)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `associate-r`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-l` `distribute-rgt-neg-out`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `distribute-lft-neg-in` `neg-mul-1` `fma-def` `distribute-rgt-neg-in` `flip3-+` `unsub-neg` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 41

Calls

2 calls:

3.0ms	(+ (* x 1.0) (* x (- (* y z))))
4.0ms	(* x (- (* y z)))

series84.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(+ (* x 1.0) (* x (- (* y z))))
25.0ms	(* x (- (* y z)))

simplify47.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	191	224
1	1076	197
2	5002	193

prune84.0ms

Filtered

47 candidates to 37 candidates (78.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	3	3	6
Picked	1	0	1
Done	0	1	1
Total	50	5	55

Merged error: 0.0b

Counts

55 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x (- y)) z))
4.5b	(* (* x (- y)) z)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

4.0ms	(+ (* x 1.0) (* (* x (- y)) z))
5.0ms	(* (* x (- y)) z)

series87.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(+ (* x 1.0) (* (* x (- y)) z))
31.0ms	(* (* x (- y)) z)

simplify47.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	213	216
1	1002	190
2	5002	180

prune70.0ms

Filtered

43 candidates to 33 candidates (76.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	42	6	48

Merged error: 0.0b

Counts

48 → 6

regimes224.0ms

Accuracy

98.2% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 4.6b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	15
1	43	15
2	46	15
3	46	15

end0.0ms

sample367.0ms

Algorithm

intervals

Results

183.0ms

9522×

body

valid