Details

sample209.0ms

Algorithm

intervals

Results

108.0ms	847×	body	80	nan
43.0ms	290×	body	80	valid

simplify74.0ms

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

localize19.0ms

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)
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:

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

series673.0ms

Counts

4 → 12

Calls

4 calls:

532.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
43.0ms	(+ (+ (* x (log y)) z) t)
59.0ms	(* (- b 0.5) (log c))
38.0ms	(* x (log y))

simplify52.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (44.0ms)

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

prune343.0ms

Pruning

8 alts after pruning (8 fresh and 0 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)

rewrite29.0ms

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))
20.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
0.0ms	(cbrt c)
1.0ms	(cbrt c)

series573.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* x (log y))
170.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
179.0ms	(cbrt c)
182.0ms	(cbrt c)

simplify65.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (56.0ms)

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

prune624.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log y))
0.3b	(+ (* (- b 0.5) (* 2 (log (* (cbrt 1) (pow c 1/3))))) (* (- b 0.5) (log (cbrt c))))
0.6b	(cbrt c)
5.0b	(pow c 1/3)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

22×	`log-prod`
17×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
13×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-+r+`
9×	`cbrt-prod`
8×	`pow1` `associate-*l/`
7×	`add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
4×	`associate-+l+` `flip3--` `associate-r` `frac-add` `flip--`
3×	`unpow-prod-down` `pow-unpow` `associate-l`
1×	`+-commutative` `pow-to-exp` `pow-pow` `flip3-+` `unpow1/3` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr` `sqr-pow`

Counts

4 → 86

Calls

4 calls:

4.0ms	(* x (log y))
22.0ms	(+ (* (- b 0.5) (* 2 (log (* (cbrt 1) (pow c 1/3))))) (* (- b 0.5) (log (cbrt c))))
0.0ms	(cbrt c)
1.0ms	(pow c 1/3)

series628.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* x (log y))
230.0ms	(+ (* (- b 0.5) (* 2 (log (* (cbrt 1) (pow c 1/3))))) (* (- b 0.5) (log (cbrt c))))
181.0ms	(cbrt c)
180.0ms	(pow c 1/3)

simplify72.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	578	769
1	2277	634
2	5001	583

prune564.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt c)
0.6b	(cbrt c)
0.6b	(cbrt c)
0.6b	(cbrt (cbrt c))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 47

Calls

4 calls:

0.0ms	(cbrt c)
0.0ms	(cbrt c)
1.0ms	(cbrt c)
4.0ms	(cbrt (cbrt c))

series795.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt c)
180.0ms	(cbrt c)
181.0ms	(cbrt c)
248.0ms	(cbrt (cbrt c))

simplify48.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	71	191
1	141	177
2	357	169
3	1377	169
4	5001	169

prune403.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes616.0ms

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	43	25
1	43	25

end0.0ms

sample6.6s

Algorithm

intervals

Results

3.6s	27410×	body	80	nan
1.4s	9168×	body	80	valid
2.0ms	3×	body	640	valid