Details

sample34.0ms

Algorithm

intervals

Results

10.0ms	295×	body	80	valid
7.0ms	259×	body	80	nan

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	5
1	57	5
2	121	5
3	241	5
4	364	5
5	490	5
6	641	5
7	1023	5
8	1797	5
9	2155	5
10	2161	5
11	2161	5

prune7.0ms

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

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- 1.0 z) (log z))
0.0b	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
0.2b	(* y (+ (- 1.0 z) (log z)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
11×	`associate-+l+`
9×	`pow1` `prod-diff`
8×	`distribute-lft-out`
7×	`associate-r`
6×	`add-log-exp`
5×	`add-exp-log` `fma-def` `add-cbrt-cube` `distribute-lft-out--`
4×	`log-pow`
3×	`expm1-log1p-u` `associate-+r+` `log-prod` `associate-l` `log1p-expm1-u`
2×	`flip3-+` `associate-*r/` `sum-log` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `associate-+l-` `sub-neg` `distribute-lft-in` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `difference-of-squares` `unswap-sqr`

Counts

3 → 76

Calls

3 calls:

8.0ms	(+ (- 1.0 z) (log z))
1.0ms	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
14.0ms	(* y (+ (- 1.0 z) (log z)))

series295.0ms

Counts

3 → 9

Calls

3 calls:

162.0ms	(+ (- 1.0 z) (log z))
54.0ms	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
80.0ms	(* y (+ (- 1.0 z) (log z)))

simplify45.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	336	468
1	1466	370
2	5001	366

prune202.0ms

Filtered

85 candidates to 61 candidates (71.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	80	5	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	5	86

Merged error: 0.0b

Counts

86 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt z))
0.0b	(fma x 0.5 (* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))))
0.0b	(+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))
0.2b	(* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

65×	`*-un-lft-identity`
40×	`distribute-lft-out`
28×	`pow1`
23×	`log-pow`
13×	`add-sqr-sqrt` `associate-r`
12×	`log-prod`
11×	`add-cube-cbrt`
10×	`distribute-lft-out--`
8×	`add-log-exp`
7×	`add-exp-log` `fma-def`
6×	`associate-+r+` `sqrt-prod` `add-cbrt-cube`
5×	`sum-log`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-l`
2×	`associate-+l-` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `sqrt-pow1` `pow1/2` `diff-log` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 103

Calls

4 calls:

2.0ms	(log (sqrt z))
1.0ms	(fma x 0.5 (* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))))
14.0ms	(+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))
16.0ms	(* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z))))

series351.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(log (sqrt z))
96.0ms	(fma x 0.5 (* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))))
75.0ms	(+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))
112.0ms	(* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z))))

simplify56.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	417	821
1	1632	700
2	5003	662

prune269.0ms

Filtered

115 candidates to 73 candidates (63.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	113	2	115
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	113	7	120

Merged error: 0.0b

Counts

120 → 7

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x 0.5 (+ (* y (- 1.0 z)) (* y (log z))))
0.2b	(+ (* y (- 1.0 z)) (* y (log z)))
0.2b	(* y (log z))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
22×	`associate-+l+`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`prod-diff`
17×	`distribute-rgt-in` `distribute-lft-in`
12×	`log-prod`
6×	`pow1` `associate-+r+`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`associate-r`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u`
2×	`sub-neg`
1×	`+-commutative` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `fma-udef` `distribute-lft-out` `unswap-sqr`

Counts

3 → 80

Calls

3 calls:

1.0ms	(fma x 0.5 (+ (* y (- 1.0 z)) (* y (log z))))
9.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
5.0ms	(* y (log z))

series203.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(fma x 0.5 (+ (* y (- 1.0 z)) (* y (log z))))
104.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
39.0ms	(* y (log z))

simplify50.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	373	589
1	1478	446
2	5002	410

prune233.0ms

Filtered

89 candidates to 69 candidates (77.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	91	5	96

Merged error: 0.0b

Counts

96 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z))))
0.2b	(+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
9×	`cbrt-prod`
8×	`pow1`
6×	`add-exp-log` `associate-+r+` `log-prod` `add-cbrt-cube`
5×	`associate-r` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out`
3×	`fma-def` `associate-l`
2×	`flip3-+` `pow1/3` `associate-*r/` `log-pow` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

6.0ms	(* y (+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z))))
5.0ms	(+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z)))
2.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.3s

Counts

4 → 12

Calls

4 calls:

269.0ms	(* y (+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z))))
667.0ms	(+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z)))
190.0ms	(cbrt z)
184.0ms	(cbrt z)

simplify43.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	290	621
1	1166	547
2	5001	502

prune274.0ms

Filtered

89 candidates to 74 candidates (83.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	89	5	94

Merged error: 0.0b

Counts

94 → 5

regimes110.0ms

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	15	9
1	15	9

end0.0ms

sample960.0ms

Algorithm

intervals

Results

326.0ms	9188×	body	80	valid
252.0ms	8873×	body	80	nan