Details

sample37.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
10.0ms	259×	body	80	nan

simplify81.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (10.0ms)

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

prune6.0ms

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

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 91

Calls

3 calls:

8.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
6.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
7.0ms	(* (+ y 0.5) (log y))

series347.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
43.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
247.0ms	(* (+ y 0.5) (log y))

simplify53.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	448	813
1	1611	665
2	5002	652

prune195.0ms

Filtered

100 candidates to 68 candidates (68.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	96	4	100
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	96	5	101

Merged error: 0.0b

Counts

101 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (/ 1 y))
0.0b	(- (+ x (fma (log (/ 1 y)) (+ y 0.5) y)) z)
0.1b	(fma (log (/ 1 y)) (+ y 0.5) y)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`add-cube-cbrt`
13×	`log-prod`
12×	`prod-diff`
9×	`times-frac`
8×	`add-exp-log` `add-log-exp`
5×	`pow1` `distribute-lft-out`
4×	`fma-neg` `rem-log-exp`
3×	`expm1-log1p-u` `log-pow` `add-cbrt-cube` `log1p-expm1-u`
2×	`diff-log` `div-exp` `distribute-lft-out--`
1×	`sub-neg` `log-div` `rec-exp` `flip3--` `pow-flip` `1-exp` `log-rec` `associate--l+` `sum-log` `flip--` `fma-udef` `div-inv` `inv-pow` `difference-of-squares`

Counts

3 → 76

Calls

3 calls:

3.0ms	(log (/ 1 y))
7.0ms	(- (+ x (fma (log (/ 1 y)) (+ y 0.5) y)) z)
1.0ms	(fma (log (/ 1 y)) (+ y 0.5) y)

series429.0ms

Counts

3 → 9

Calls

3 calls:

121.0ms	(log (/ 1 y))
48.0ms	(- (+ x (fma (log (/ 1 y)) (+ y 0.5) y)) z)
260.0ms	(fma (log (/ 1 y)) (+ y 0.5) y)

simplify43.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	335	668
1	1051	528
2	5001	504

prune165.0ms

Filtered

85 candidates to 52 candidates (61.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	85	5	90

Merged error: 0.0b

Counts

90 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ 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)

rewrite34.0ms

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:

10.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
16.0ms	(+ (* (+ 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:

454.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
776.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
183.0ms	(cbrt y)
185.0ms	(cbrt y)

simplify75.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (63.0ms)

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

prune370.0ms

Filtered

129 candidates to 100 candidates (77.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	127	2	129
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	129	5	134

Merged error: 0b

Counts

134 → 5

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ y 0.5) (* 2 (log (pow y 1/3))))
0.3b	(+ (* (+ y 0.5) (* 2 (log (pow y 1/3)))) (* (log (cbrt y)) (+ y 0.5)))
0.6b	(cbrt y)
4.9b	(pow y 1/3)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

57×	`distribute-rgt-in` `distribute-lft-in`
56×	`log-prod`
28×	`associate-+l+`
27×	`unpow-prod-down`
26×	`*-un-lft-identity`
24×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`pow1` `add-exp-log`
9×	`add-cbrt-cube` `sqr-pow`
6×	`flip3-+` `associate-*l/` `flip-+` `add-log-exp`
4×	`expm1-log1p-u` `associate-r/` `associate-l*` `frac-add` `log1p-expm1-u`
3×	`cbrt-prod` `pow-unpow` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-+r+`
1×	`+-commutative` `pow-to-exp` `pow-pow` `fma-def` `unpow1/3` `pow1/3` `associate-r` `pow-exp` `sum-log` `*-commutative` `distribute-lft-out`

Counts

4 → 132

Calls

4 calls:

10.0ms	(* (+ y 0.5) (* 2 (log (pow y 1/3))))
13.0ms	(+ (* (+ y 0.5) (* 2 (log (pow y 1/3)))) (* (log (cbrt y)) (+ y 0.5)))
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)

series1.9s

Counts

4 → 12

Calls

4 calls:

473.0ms	(* (+ y 0.5) (* 2 (log (pow y 1/3))))
1.1s	(+ (* (+ y 0.5) (* 2 (log (pow y 1/3)))) (* (log (cbrt y)) (+ y 0.5)))
200.0ms	(cbrt y)
167.0ms	(pow y 1/3)

simplify120.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (101.0ms)

Iter	Nodes	Cost
0	862	1217
1	3495	998
2	5001	982

prune414.0ms

Filtered

144 candidates to 107 candidates (74.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	144	5	149

Merged error: 0b

Counts

149 → 5

regimes145.0ms

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	13	6
1	13	6

end0.0ms

sample1.0s

Algorithm

intervals

Results

361.0ms	8028×	body	80	valid
296.0ms	7929×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid