Details

sample18.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
3.0ms	264×	body	80	nan

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	4	2
1	4	2

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b	(* x (log x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`log-prod`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `associate-r`
3×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `associate-l` `add-cbrt-cube`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 27

Calls

1 calls:

9.0ms

(* x (log x))

series176.0ms

Counts

1 → 3

Calls

1 calls:

176.0ms

(* x (log x))

simplify195.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	95	121
1	348	105
2	1040	98
3	4535	98
4	5001	98

prune55.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt x))
0.0b	(log (sqrt x))
0.3b	(* x (log (sqrt x)))
0.3b	(* x (log (sqrt x)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
24×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
18×	`sqrt-prod`
16×	`pow1`
12×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `log-pow`
10×	`add-exp-log`
8×	`add-cbrt-cube`
6×	`associate-l`
4×	`expm1-log1p-u` `sqrt-pow1` `pow1/2` `log1p-expm1-u` `add-log-exp`
2×	`rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

2.0ms	(log (sqrt x))
2.0ms	(log (sqrt x))
14.0ms	(* x (log (sqrt x)))
11.0ms	(* x (log (sqrt x)))

series321.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(log (sqrt x))
64.0ms	(log (sqrt x))
98.0ms	(* x (log (sqrt x)))
101.0ms	(* x (log (sqrt x)))

simplify89.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	192	642
1	687	572
2	3095	538
3	5002	536

prune246.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* x (* 2 (log (cbrt (sqrt x))))) (* x (log (cbrt (sqrt x)))))
0.3b	(* x (log (sqrt x)))
0.6b	(cbrt (sqrt x))
0.6b	(cbrt (sqrt x))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

66×	`log-prod`
51×	`distribute-rgt-in` `distribute-lft-in`
48×	`cbrt-prod`
36×	`associate-+l+`
34×	`add-sqr-sqrt`
32×	`add-cube-cbrt` `*-un-lft-identity`
30×	`sqrt-prod`
18×	`associate-+r+`
8×	`pow1`
6×	`add-exp-log` `associate-r` `add-cbrt-cube` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-l` `log-pow`
2×	`pow1/3`
1×	`+-commutative` `fma-def` `sqrt-pow1` `flip3-+` `pow1/2` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 136

Calls

4 calls:

32.0ms	(+ (* x (* 2 (log (cbrt (sqrt x))))) (* x (log (cbrt (sqrt x)))))
11.0ms	(* x (log (sqrt x)))
2.0ms	(cbrt (sqrt x))
2.0ms	(cbrt (sqrt x))

series704.0ms

Counts

4 → 12

Calls

4 calls:

298.0ms	(+ (* x (* 2 (log (cbrt (sqrt x))))) (* x (log (cbrt (sqrt x)))))
99.0ms	(* x (log (sqrt x)))
154.0ms	(cbrt (sqrt x))
154.0ms	(cbrt (sqrt x))

simplify68.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	558	1150
1	2211	985
2	5001	932

prune507.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* x (* 2 (log (cbrt (sqrt x))))) (* x (log (pow (/ 1 x) -1/6))))
0.3b	(* x (log (sqrt x)))
0.6b	(cbrt (sqrt x))
4.1b	(pow (/ 1 x) -1/6)

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

82×	`log-prod`
59×	`distribute-rgt-in` `distribute-lft-in`
50×	`add-sqr-sqrt`
48×	`add-cube-cbrt` `*-un-lft-identity`
39×	`unpow-prod-down`
36×	`associate-+l+`
34×	`associate-+r+`
30×	`cbrt-prod`
27×	`times-frac`
21×	`sqrt-prod`
11×	`add-exp-log`
10×	`pow1`
6×	`associate-r` `add-cbrt-cube` `add-log-exp`
4×	`expm1-log1p-u` `pow-exp` `log1p-expm1-u`
3×	`pow-unpow` `pow-pow` `associate-l` `log-pow` `div-inv` `sqr-pow`
2×	`div-exp`
1×	`+-commutative` `pow-to-exp` `rec-exp` `pow-flip` `fma-def` `sqrt-pow1` `flip3-+` `pow1/2` `pow1/3` `1-exp` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `inv-pow` `unswap-sqr`

Counts

4 → 170

Calls

4 calls:

40.0ms	(+ (* x (* 2 (log (cbrt (sqrt x))))) (* x (log (pow (/ 1 x) -1/6))))
14.0ms	(* x (log (sqrt x)))
1.0ms	(cbrt (sqrt x))
7.0ms	(pow (/ 1 x) -1/6)

series978.0ms

Counts

4 → 12

Calls

4 calls:

542.0ms	(+ (* x (* 2 (log (cbrt (sqrt x))))) (* x (log (pow (/ 1 x) -1/6))))
101.0ms	(* x (log (sqrt x)))
153.0ms	(cbrt (sqrt x))
182.0ms	(pow (/ 1 x) -1/6)

simplify94.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	857	1410
1	3527	1254
2	5001	1244

prune809.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes93.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	2
1	4	2

end0.0ms

sample482.0ms

Algorithm

intervals

Results

153.0ms	8042×	body	80	valid
99.0ms	7991×	body	80	nan