Details

sample42.0ms

Algorithm

intervals

Results

14.0ms	304×	body	80	valid
11.0ms	318×	body	80	nan

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

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:

1.0ms	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
8.0ms	(+ (- 1.0 z) (log z))
9.0ms	(* y (+ (- 1.0 z) (log z)))

series293.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
166.0ms	(+ (- 1.0 z) (log z))
75.0ms	(* y (+ (- 1.0 z) (log z)))

simplify42.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (36.0ms)

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

prune193.0ms

Filtered

85 candidates to 61 candidates (71.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	79	6	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	6	86

Merged error: 0.0b

Counts

86 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 111

Calls

4 calls:

8.0ms	(+ 1.0 (- (log z) z))
1.0ms	(fma x 0.5 (* y (+ 1.0 (- (log z) z))))
5.0ms	(- (log z) z)
11.0ms	(* y (+ 1.0 (- (log z) z)))

series455.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(+ 1.0 (- (log z) z))
51.0ms	(fma x 0.5 (* y (+ 1.0 (- (log z) z))))
157.0ms	(- (log z) z)
77.0ms	(* y (+ 1.0 (- (log z) z)))

simplify54.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	427	730
1	1656	545
2	5001	534

prune234.0ms

Filtered

123 candidates to 79 candidates (64.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	121	2	123
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	123	6	129

Merged error: 0.0b

Counts

129 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
36×	`add-cube-cbrt` `prod-diff`
28×	`distribute-rgt-in` `distribute-lft-in`
22×	`associate-+l+`
12×	`log-prod`
9×	`pow1` `associate-r`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-+r+` `associate-l` `add-log-exp`
4×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u`
2×	`associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3--` `fma-def` `flip3-+` `sum-log` `log-pow` `flip--` `flip-+` `fma-udef` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 126

Calls

4 calls:

1.0ms	(fma x 0.5 (+ (* y (- 1.0 z)) (* y (log z))))
7.0ms	(* y (- 1.0 z))
9.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
5.0ms	(* y (log z))

series229.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(fma x 0.5 (+ (* y (- 1.0 z)) (* y (log z))))
38.0ms	(* y (- 1.0 z))
94.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
38.0ms	(* y (log z))

simplify73.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	494	914
1	2048	666
2	5003	654

prune286.0ms

Filtered

138 candidates to 90 candidates (65.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	139	5	144

Merged error: 0.0b

Counts

144 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

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

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

series1.3s

Counts

4 → 12

Calls

4 calls:

650.0ms	(+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z)))
261.0ms	(* y (+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z))))
179.0ms	(cbrt z)
188.0ms	(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	5002	502

prune262.0ms

Filtered

89 candidates to 74 candidates (83.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	89	5	94

Merged error: 0.0b

Counts

94 → 5

regimes135.0ms

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

sample1.1s

Algorithm

intervals

Results

409.0ms	9150×	body	80	valid
333.0ms	9133×	body	80	nan

Details

sample42.0ms

simplify67.0ms

prune5.0ms

localize9.0ms

rewrite21.0ms

series293.0ms

simplify42.0ms

prune193.0ms

localize9.0ms

rewrite28.0ms

series455.0ms

simplify54.0ms

prune234.0ms

localize15.0ms

rewrite27.0ms

series229.0ms

simplify73.0ms

prune286.0ms

localize13.0ms

rewrite16.0ms

series1.3s

simplify43.0ms

prune262.0ms

regimes135.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

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