Details

sample34.0ms

Algorithm

intervals

Results

8.0ms	257×	body	80	valid
7.0ms	266×	body	80	nan

simplify75.0ms

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

prune5.0ms

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)
0.1b	(* (+ y 0.5) (log y))

rewrite56.0ms

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:

7.0ms	(- x (* (+ y 0.5) (log y)))
23.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
24.0ms	(* (+ y 0.5) (log y))

series319.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(- x (* (+ y 0.5) (log y)))
50.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
230.0ms	(* (+ y 0.5) (log y))

simplify45.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (39.0ms)

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

prune241.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite6.0ms

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:

6.0ms	(+ x (fma (- (+ y 0.5)) (log y) y))
0.0ms	(fma (- (+ y 0.5)) (log y) y)

series319.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+ x (fma (- (+ y 0.5)) (log y) y))
274.0ms	(fma (- (+ y 0.5)) (log y) y)

simplify58.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 3 (54.0ms)

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

prune114.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

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)

rewrite76.0ms

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:

36.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
34.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.6s

Counts

4 → 12

Calls

4 calls:

459.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
765.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
176.0ms	(cbrt y)
179.0ms	(cbrt y)

simplify77.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	681	1130
1	2712	984
2	5001	947

prune445.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

21.0ms	(* (log (cbrt y)) (+ y 0.5))
0.0ms	(fma (+ y 0.5) (* 2 (log (cbrt y))) (* (log (cbrt y)) (+ y 0.5)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.7s

Counts

4 → 12

Calls

4 calls:

427.0ms	(* (log (cbrt y)) (+ y 0.5))
894.0ms	(fma (+ y 0.5) (* 2 (log (cbrt y))) (* (log (cbrt y)) (+ y 0.5)))
176.0ms	(cbrt y)
183.0ms	(cbrt y)

simplify37.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	250	416
1	969	363
2	5001	333

prune258.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes79.0ms

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

sample947.0ms

Algorithm

intervals

Results

267.0ms	8037×	body	80	valid
211.0ms	8391×	body	80	nan
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid