Details

sample29.0ms

Algorithm

intervals

Results

9.0ms	257×	body	80	valid
7.0ms	257×	body	80	nan
0.0ms	1×	body	160	valid

simplify71.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (8.0ms)

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)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 80

Calls

3 calls:

3.0ms	(- x (* (+ y 0.5) (log y)))
10.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
11.0ms	(* (+ y 0.5) (log y))

series309.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(- x (* (+ y 0.5) (log y)))
40.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
228.0ms	(* (+ y 0.5) (log y))

simplify44.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	404	561
1	1555	512
2	5001	494

prune219.0ms

Filtered

89 candidates to 71 candidates (79.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
1×	`+-commutative` `associate-+r+` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

2 → 28

Calls

2 calls:

3.0ms	(+ x (fma (- (+ y 0.5)) (log y) y))
0.0ms	(fma (- (+ y 0.5)) (log y) y)

series310.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ x (fma (- (+ y 0.5)) (log y) y))
274.0ms	(fma (- (+ y 0.5)) (log y) y)

simplify66.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 3 (61.0ms)

Iter	Nodes	Cost
0	175	225
1	458	205
2	2408	202
3	5002	198

prune113.0ms

Filtered

34 candidates to 31 candidates (91.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ y 0.5) (log (cbrt y)))
0.2b	(- (fma (- (+ y 0.5)) (* 2 (log (cbrt y))) x) (* (+ y 0.5) (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

12.0ms	(* (+ y 0.5) (log (cbrt y)))
4.0ms	(- (fma (- (+ y 0.5)) (* 2 (log (cbrt y))) x) (* (+ y 0.5) (log (cbrt y))))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series932.0ms

Counts

4 → 12

Calls

4 calls:

430.0ms	(* (+ y 0.5) (log (cbrt y)))
137.0ms	(- (fma (- (+ y 0.5)) (* 2 (log (cbrt y))) x) (* (+ y 0.5) (log (cbrt y))))
191.0ms	(cbrt y)
173.0ms	(cbrt y)

simplify56.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	403	894
1	1508	824
2	5003	775

prune376.0ms

Filtered

108 candidates to 87 candidates (80.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log (cbrt y))))
0.4b	(* (sqrt (+ y 0.5)) (log (cbrt y)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
27×	`add-sqr-sqrt` `*-un-lft-identity`
24×	`cbrt-prod`
23×	`add-cube-cbrt`
14×	`sqrt-div` `associate-l`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`associate-*l/`
9×	`sqrt-prod`
7×	`flip3-+` `flip-+`
6×	`associate-r`
4×	`expm1-log1p-u` `frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`associate-r/` `log-pow` `-commutative` `distribute-lft-out` `unswap-sqr`

Counts

4 → 123

Calls

4 calls:

28.0ms	(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log (cbrt y))))
13.0ms	(* (sqrt (+ y 0.5)) (log (cbrt y)))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series880.0ms

Counts

4 → 12

Calls

4 calls:

428.0ms	(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log (cbrt y))))
91.0ms	(* (sqrt (+ y 0.5)) (log (cbrt y)))
174.0ms	(cbrt y)
186.0ms	(cbrt y)

simplify54.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	440	1071
1	1703	963
2	5002	931

prune420.0ms

Filtered

135 candidates to 86 candidates (63.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes136.0ms

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	6
1	16	6
2	16	6

end0.0ms

sample814.0ms

Algorithm

intervals

Results

276.0ms	8030×	body	80	valid
214.0ms	7932×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid