Details

sample61.0ms

Algorithm

intervals

Results

37.0ms	81×	body	1280	valid
10.0ms	51×	body	640	valid
3.0ms	28×	body	320	valid
2.0ms	88×	body	80	valid
1.0ms	96×	body	80	nan
0.0ms	8×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	2
1	5	2

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.5b

localize4.0ms

Local error

Found 1 expressions with local error:

2.9b	(log (+ 1.0 x))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-prod` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `log-div`
1×	`expm1-log1p-u` `flip3-+` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 17

Calls

1 calls:

3.0ms

(log (+ 1.0 x))

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

(log (+ 1.0 x))

simplify42.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 3 (39.0ms)

Iter	Nodes	Cost
0	131	99
1	363	89
2	1292	86
3	5002	81

prune51.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0b	(fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
70×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
36×	`add-cube-cbrt` `*-un-lft-identity`
25×	`add-exp-log`
24×	`unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
7×	`add-cbrt-cube`
6×	`pow-to-exp` `pow-exp`
4×	`pow1`
3×	`associate-l`
2×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `associate-r/` `pow-prod-down` `-commutative` `fma-udef` `div-inv`

Counts

2 → 122

Calls

2 calls:

30.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0ms	(fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

series101.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
50.0ms	(fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

simplify64.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	560	763
1	2406	633
2	5001	632

prune293.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x))))
2.9b	(log (+ 1.0 x))
2.9b	(log (+ 1.0 x))
2.9b	(log (+ 1.0 x))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
23×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`pow1`
15×	`add-cube-cbrt`
12×	`log-prod`
9×	`add-exp-log` `swap-sqr` `log-pow`
7×	`associate-r` `associate-l`
6×	`log-div` `pow1/3`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

7.0ms	(* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x))))
3.0ms	(log (+ 1.0 x))
2.0ms	(log (+ 1.0 x))
3.0ms	(log (+ 1.0 x))

series341.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x))))
48.0ms	(log (+ 1.0 x))
42.0ms	(log (+ 1.0 x))
47.0ms	(log (+ 1.0 x))

simplify53.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	458	860
1	1768	793
2	5001	696

prune255.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* 1.0 x))
0.3b	(- (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
11.4b	(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))
13.5b	(log (+ (pow 1.0 3) (pow x 3)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
24×	`log-prod`
19×	`pow1` `add-sqr-sqrt`
17×	`add-cube-cbrt` `prod-diff`
15×	`log-pow`
10×	`distribute-lft-out`
9×	`associate--l+`
8×	`unpow-prod-down` `log-div` `cube-prod`
6×	`add-exp-log` `add-log-exp`
5×	`fma-neg`
4×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out--`
3×	`associate--r+`
2×	`associate--l-` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `sum-cubes` `flip--` `associate--r-`
1×	`distribute-rgt-out--` `difference-of-squares`

Counts

4 → 110

Calls

4 calls:

3.0ms	(- (* x x) (* 1.0 x))
25.0ms	(- (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
7.0ms	(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))
17.0ms	(log (+ (pow 1.0 3) (pow x 3)))

series548.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(- (* x x) (* 1.0 x))
154.0ms	(- (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
73.0ms	(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))
259.0ms	(log (+ (pow 1.0 3) (pow x 3)))

simplify64.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	545	1732
1	2101	1340
2	5001	1334

prune313.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

regimes112.0ms

Accuracy

98.2% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 21.3b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	20
1	27	20

end0.0ms

sample1.7s

Algorithm

intervals

Results

987.0ms	2278×	body	1280	valid
336.0ms	1626×	body	640	valid
85.0ms	846×	body	320	valid
57.0ms	2845×	body	80	valid
35.0ms	2695×	body	80	nan
24.0ms	405×	body	160	valid