Details

sample119.0ms

Algorithm

intervals

Results

47.0ms	844×	body	80	nan
18.0ms	290×	body	80	valid

simplify71.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	11
1	101	11
2	428	11
3	1514	11
4	4620	11
5	5001	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
18×	`log-prod` `*-un-lft-identity`
14×	`add-cube-cbrt`
11×	`add-log-exp`
10×	`pow1`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
7×	`associate-+l+`
4×	`sum-log`
2×	`+-commutative` `flip3-+` `pow-prod-down` `associate-l/` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`flip3--` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 85

Calls

4 calls:

17.0ms	(+ (+ (* x (log y)) z) t)
4.0ms	(+ (* x (log y)) z)
11.0ms	(* (- b 0.5) (log c))
4.0ms	(* x (log y))

series194.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ (+ (* x (log y)) z) t)
50.0ms	(+ (* x (log y)) z)
60.0ms	(* (- b 0.5) (log c))
38.0ms	(* x (log y))

simplify40.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	409	505
1	1422	455
2	5001	433

prune339.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log y))
0.3b	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

42×	`log-prod`
33×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod` `add-sqr-sqrt` `associate-+l+`
22×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-+r+`
8×	`associate-*l/`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`flip3--` `associate-r` `frac-add` `flip--`
3×	`associate-l`
2×	`pow1/3`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

4.0ms	(* x (log y))
17.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
0.0ms	(cbrt c)
1.0ms	(cbrt c)

series571.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* x (log y))
169.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
180.0ms	(cbrt c)
178.0ms	(cbrt c)

simplify64.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	549	851
1	2155	729
2	5001	698

prune631.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* 2 (log (cbrt c))) (log (cbrt (sqrt c))))
0.6b	(cbrt c)
0.6b	(cbrt (sqrt c))
0.6b	(cbrt (sqrt c))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod`
21×	`log-prod`
16×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`associate-+l+`
9×	`associate-+r+` `sqrt-prod`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow1/3`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 71

Calls

4 calls:

7.0ms	(+ (* 2 (log (cbrt c))) (log (cbrt (sqrt c))))
0.0ms	(cbrt c)
1.0ms	(cbrt (sqrt c))
1.0ms	(cbrt (sqrt c))

series906.0ms

Counts

4 → 12

Calls

4 calls:

410.0ms	(+ (* 2 (log (cbrt c))) (log (cbrt (sqrt c))))
184.0ms	(cbrt c)
156.0ms	(cbrt (sqrt c))
156.0ms	(cbrt (sqrt c))

simplify106.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	282	529
1	791	474
2	3216	449
3	5001	425

prune561.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log y))
0.2b	(+ (* (- b 0.5) (* (log (/ 1 c)) -5/6)) (* (log (cbrt (sqrt c))) (- b 0.5)))
0.3b	(* (log (/ 1 c)) -5/6)
0.6b	(cbrt (sqrt c))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`associate-l`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-r`
6×	`cbrt-prod` `log-prod` `add-log-exp`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`associate-+r+` `flip3--` `associate-r/` `associate-l/` `frac-add` `log-pow` `flip--`
3×	`sqrt-prod`
2×	`sub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `distribute-lft-neg-out` `pow-flip` `flip3-+` `pow1/3` `log-rec` `sum-log` `flip-+` `inv-pow`

Counts

4 → 80

Calls

4 calls:

4.0ms	(* x (log y))
12.0ms	(+ (* (- b 0.5) (* (log (/ 1 c)) -5/6)) (* (log (cbrt (sqrt c))) (- b 0.5)))
5.0ms	(* (log (/ 1 c)) -5/6)
1.0ms	(cbrt (sqrt c))

series558.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* x (log y))
205.0ms	(+ (* (- b 0.5) (* (log (/ 1 c)) -5/6)) (* (log (cbrt (sqrt c))) (- b 0.5)))
151.0ms	(* (log (/ 1 c)) -5/6)
158.0ms	(cbrt (sqrt c))

simplify67.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	588	728
1	2167	652
2	5001	639

prune495.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes592.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	19
1	42	19

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.5s	27056×	body	80	nan
575.0ms	9196×	body	80	valid
1.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid