Details

sample128.0ms

Algorithm

intervals

Results

50.0ms	852×	body	80	nan
19.0ms	294×	body	80	valid

simplify72.0ms

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) t) a) (* (- b 0.5) (log c))) (* y i))
0.1b	(* (- b 0.5) (log c))
0.2b	(* x (log y))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

29×	`add-log-exp`
18×	`add-sqr-sqrt` `sum-log`
16×	`*-un-lft-identity`
12×	`add-cube-cbrt` `log-prod`
10×	`pow1`
8×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
6×	`distribute-rgt-in` `distribute-lft-in`
2×	`+-commutative` `associate-+l+` `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 → 84

Calls

4 calls:

15.0ms	(+ (+ (* x (log y)) z) t)
1.1s	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
11.0ms	(* (- b 0.5) (log c))
4.0ms	(* x (log y))

series659.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ (+ (* x (log y)) z) t)
516.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
58.0ms	(* (- b 0.5) (log c))
37.0ms	(* x (log y))

simplify50.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	501	698
1	1904	622
2	5003	603

prune341.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

5.0ms	(* x (log (cbrt y)))
16.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series548.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* x (log (cbrt y)))
102.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
177.0ms	(cbrt y)
177.0ms	(cbrt y)

simplify58.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	345	729
1	1431	634
2	5001	547

prune619.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series725.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt y)
187.0ms	(cbrt y)
179.0ms	(cbrt y)
179.0ms	(cbrt y)

simplify127.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	40	156
1	81	144
2	193	136
3	696	136
4	4103	136
5	5002	136

prune416.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

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)

rewrite30.0ms

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))
21.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series575.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* x (log y))
173.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
179.0ms	(cbrt c)
179.0ms	(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

prune608.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes642.0ms

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	41	20
1	41	20

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.6s	27745×	body	80	nan
602.0ms	9167×	body	80	valid
0.0ms	1×	body	640	valid