Details

sample137.0ms

Algorithm

intervals

Results

46.0ms	847×	body	80	nan
17.0ms	290×	body	80	valid

simplify69.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.9s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

2.3s	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
579.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
23.0ms	(* (- b 0.5) (log c))
9.0ms	(* x (log y))

series788.0ms

Counts

4 → 12

Calls

4 calls:

482.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
219.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
53.0ms	(* (- b 0.5) (log c))
34.0ms	(* x (log y))

simplify66.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	647	1027
1	2625	970
2	5001	954

prune385.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

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))))
0.7b	(cbrt c)
0.7b	(cbrt c)

rewrite52.0ms

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:

9.0ms	(* x (log y))
37.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series557.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* x (log y))
163.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
177.0ms	(cbrt c)
182.0ms	(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 (5 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod`
23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
6×	`associate-r` `associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 96

Calls

4 calls:

25.0ms	(* x (* 2 (log (cbrt y))))
10.0ms	(* x (log (cbrt y)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series532.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* x (* 2 (log (cbrt y))))
89.0ms	(* x (log (cbrt y)))
177.0ms	(cbrt y)
174.0ms	(cbrt y)

simplify42.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	291	642
1	1173	565
2	5001	541

prune452.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (* 2 (log (cbrt y))))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (* (cbrt 1) (pow y 1/3)))))
0.6b	(cbrt y)
4.8b	(pow y 1/3)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

50×	`log-prod`
49×	`distribute-rgt-in` `distribute-lft-in`
27×	`cbrt-prod`
24×	`add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
10×	`pow1` `add-exp-log`
9×	`add-cbrt-cube`
6×	`add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-+r+`
1×	`+-commutative` `pow-to-exp` `pow-pow` `flip3-+` `unpow1/3` `pow1/3` `associate-r` `pow-exp` `sum-log` `*-commutative` `flip-+` `distribute-lft-out` `sqr-pow`

Counts

4 → 109

Calls

4 calls:

22.0ms	(* x (* 2 (log (cbrt y))))
28.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (* (cbrt 1) (pow y 1/3)))))
1.0ms	(cbrt y)
6.0ms	(pow y 1/3)

series565.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* x (* 2 (log (cbrt y))))
125.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (* (cbrt 1) (pow y 1/3)))))
174.0ms	(cbrt y)
174.0ms	(pow y 1/3)

simplify57.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	461	903
1	1577	791
2	5001	572

prune577.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes559.0ms

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	45	19
1	45	19

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.4s	27048×	body	80	nan
538.0ms	9185×	body	80	valid
0.0ms	1×	body	320	valid