Details

sample29.0ms

Algorithm

intervals

Results

8.0ms	259×	body	80	valid
7.0ms	260×	body	80	nan

simplify73.0ms

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

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))

rewrite29.0ms

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)
10.0ms	(* (+ y 0.5) (log y))

series319.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(- x (* (+ y 0.5) (log y)))
40.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
238.0ms	(* (+ 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

prune239.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ y 0.5) (* 2 (log (cbrt y))))
0.4b	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite39.0ms

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:

16.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
17.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.6s

Counts

4 → 12

Calls

4 calls:

455.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
749.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
180.0ms	(cbrt y)
175.0ms	(cbrt y)

simplify74.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (63.0ms)

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

prune581.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

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:

10.0ms	(* (log (cbrt y)) (+ y 0.5))
0.0ms	(fma (+ y 0.5) (* 2 (log (cbrt y))) (* (log (cbrt y)) (+ y 0.5)))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.7s

Counts

4 → 12

Calls

4 calls:

429.0ms	(* (log (cbrt y)) (+ y 0.5))
885.0ms	(fma (+ y 0.5) (* 2 (log (cbrt y))) (* (log (cbrt y)) (+ y 0.5)))
172.0ms	(cbrt y)
170.0ms	(cbrt y)

simplify36.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (31.0ms)

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

prune255.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* (log (pow y 1/3)) (+ (* (+ y 0.5) 2) y)) (* (log (cbrt y)) 0.5))
0.2b	(* (log (pow y 1/3)) (+ (* (+ y 0.5) 2) y))
0.6b	(cbrt y)
5.1b	(pow y 1/3)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

8.0ms	(+ (* (log (pow y 1/3)) (+ (* (+ y 0.5) 2) y)) (* (log (cbrt y)) 0.5))
17.0ms	(* (log (pow y 1/3)) (+ (* (+ y 0.5) 2) y))
0.0ms	(cbrt y)
1.0ms	(pow y 1/3)

series1.6s

Counts

4 → 12

Calls

4 calls:

850.0ms	(+ (* (log (pow y 1/3)) (+ (* (+ y 0.5) 2) y)) (* (log (cbrt y)) 0.5))
428.0ms	(* (log (pow y 1/3)) (+ (* (+ y 0.5) 2) y))
171.0ms	(cbrt y)
172.0ms	(pow y 1/3)

simplify66.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	416	553
1	1887	474
2	5002	449

prune317.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes152.0ms

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

sample827.0ms

Algorithm

intervals

Results

275.0ms	8038×	body	80	valid
216.0ms	7991×	body	80	nan
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid