Details

sample39.0ms

Algorithm

intervals

Results

14.0ms	257×	body	80	valid
9.0ms	267×	body	80	nan

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (9.0ms)

Iter	Nodes	Cost
0	21	6
1	63	6
2	212	6
3	725	5
4	1882	5
5	3231	5
6	4574	5
7	5001	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	1	0	1
Fresh	0	1	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 4 expressions with local error:

0.0b	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
0.0b	(- x (* (+ y 0.5) (log y)))
0.1b	(+ (- x (* (+ y 0.5) (log y))) y)
0.2b	(* (+ y 0.5) (log y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 117

Calls

4 calls:

8.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
4.0ms	(- x (* (+ y 0.5) (log y)))
5.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
6.0ms	(* (+ y 0.5) (log y))

series373.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
36.0ms	(- x (* (+ y 0.5) (log y)))
47.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
236.0ms	(* (+ y 0.5) (log y))

simplify60.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	539	1002
1	2085	847
2	5002	829

prune255.0ms

Filtered

129 candidates to 92 candidates (71.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	123	6	129
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	123	7	130

Merged error: 0b

Counts

130 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ x (fma (- (+ y 0.5)) (log y) y)) z)
0.0b	(+ x (fma (- (+ y 0.5)) (log y) y))
0.1b	(fma (- (+ y 0.5)) (log y) y)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `prod-diff`
10×	`add-log-exp`
6×	`distribute-lft-out`
4×	`fma-neg`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `fma-def` `add-cbrt-cube` `log1p-expm1-u`
2×	`diff-log` `sum-log` `fma-udef` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `associate-+r+` `flip3--` `flip3-+` `associate--l+` `flip--` `flip-+` `difference-of-squares`

Counts

3 → 63

Calls

3 calls:

6.0ms	(- (+ x (fma (- (+ y 0.5)) (log y) y)) z)
3.0ms	(+ x (fma (- (+ y 0.5)) (log y) y))
1.0ms	(fma (- (+ y 0.5)) (log y) y)

series377.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(- (+ x (fma (- (+ y 0.5)) (log y) y)) z)
46.0ms	(+ x (fma (- (+ y 0.5)) (log y) y))
285.0ms	(fma (- (+ y 0.5)) (log y) y)

simplify38.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	305	659
1	941	532
2	5001	525

prune155.0ms

Filtered

72 candidates to 53 candidates (73.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	72	7	79

Merged error: 0b

Counts

79 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ y 0.5) (* 2 (log (cbrt y))))
0.3b	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

49×	`distribute-rgt-in` `distribute-lft-in`
48×	`log-prod`
30×	`cbrt-prod`
25×	`*-un-lft-identity`
24×	`associate-+l+`
23×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`flip3-+` `associate-*l/` `flip-+` `add-log-exp`
4×	`expm1-log1p-u` `associate-r/` `associate-l*` `frac-add` `log1p-expm1-u`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-+r+` `pow1/3`
1×	`+-commutative` `fma-def` `associate-r` `sum-log` `*-commutative` `distribute-lft-out`

Counts

4 → 117

Calls

4 calls:

8.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
11.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
1.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.6s

Counts

4 → 12

Calls

4 calls:

472.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
786.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
183.0ms	(cbrt y)
176.0ms	(cbrt y)

simplify81.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	681	1127
1	2712	983
2	5001	947

prune385.0ms

Filtered

129 candidates to 100 candidates (77.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	1	3	4
Picked	0	1	1
Done	1	1	2
Total	130	6	136

Merged error: 0b

Counts

136 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (pow y 1/3))
0.1b	(+ (- x (* (log (pow y 1/3)) (+ (* 3 y) 1.5))) y)
0.3b	(* (log (pow y 1/3)) (+ (* 3 y) 1.5))
4.9b	(pow y 1/3)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`add-cube-cbrt`
9×	`add-exp-log` `add-log-exp`
7×	`pow1` `log-prod`
6×	`unpow-prod-down` `add-cbrt-cube`
5×	`associate-+l+`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u`
3×	`pow-unpow` `fma-def` `rem-log-exp` `associate-r` `prod-diff`
2×	`pow-to-exp` `flip3-+` `associate-*r/` `pow-exp` `sum-log` `log-pow` `flip-+` `sqr-pow`
1×	`+-commutative` `distribute-rgt-in` `associate-+l-` `sub-neg` `pow-pow` `distribute-lft-in` `unpow1/3` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

2.0ms	(log (pow y 1/3))
5.0ms	(+ (- x (* (log (pow y 1/3)) (+ (* 3 y) 1.5))) y)
7.0ms	(* (log (pow y 1/3)) (+ (* 3 y) 1.5))
7.0ms	(pow y 1/3)

series968.0ms

Counts

4 → 12

Calls

4 calls:

256.0ms	(log (pow y 1/3))
72.0ms	(+ (- x (* (log (pow y 1/3)) (+ (* 3 y) 1.5))) y)
465.0ms	(* (log (pow y 1/3)) (+ (* 3 y) 1.5))
175.0ms	(pow y 1/3)

simplify75.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	419	587
1	1821	499
2	5001	478

prune236.0ms

Filtered

101 candidates to 76 candidates (75.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	99	2	101
Fresh	3	0	3
Picked	0	1	1
Done	0	2	2
Total	102	5	107

Merged error: 0b

Counts

107 → 5

regimes73.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	16	6
2	16	6

end0.0ms

sample981.0ms

Algorithm

intervals

Results

358.0ms	8040×	body	80	valid
283.0ms	7983×	body	80	nan

Details

sample39.0ms

simplify74.0ms

prune5.0ms

localize9.0ms

rewrite27.0ms

series373.0ms

simplify60.0ms

prune255.0ms

localize10.0ms

rewrite12.0ms

series377.0ms

simplify38.0ms

prune155.0ms

localize14.0ms

rewrite28.0ms

series1.6s

simplify81.0ms

prune385.0ms

localize17.0ms

rewrite23.0ms

series968.0ms

simplify75.0ms

prune236.0ms

regimes73.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample981.0ms

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