Details

sample146.0ms

Algorithm

intervals

Results

59.0ms	998×	body	80	nan
19.0ms	299×	body	80	valid
0.0ms	1×	body	320	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)
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))

rewrite289.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

4.0ms	(+ (* x (log y)) z)
265.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
13.0ms	(* (- b 0.5) (log c))
4.0ms	(* x (log y))

series382.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(+ (* x (log y)) z)
235.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
57.0ms	(* (- b 0.5) (log c))
39.0ms	(* x (log y))

simplify65.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	619	860
1	2417	804
2	5001	793

prune462.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt y) (cbrt y))
0.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series747.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(* (cbrt y) (cbrt y))
187.0ms	(cbrt y)
178.0ms	(cbrt y)
182.0ms	(cbrt y)

simplify90.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune475.0ms

Pruning

7 alts after pruning (6 fresh and 1 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))
17.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series572.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* x (log y))
174.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
181.0ms	(cbrt c)
179.0ms	(cbrt c)

simplify71.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (56.0ms)

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

prune678.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log y))
0.3b	(+ (* (- b 0.5) (* 2 (log (pow (/ 1 c) -1/3)))) (* (- b 0.5) (log (cbrt c))))
0.6b	(cbrt c)
5.1b	(pow (/ 1 c) -1/3)

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

86×	`log-prod`
77×	`distribute-rgt-in` `distribute-lft-in`
68×	`associate-+l+`
65×	`unpow-prod-down`
55×	`add-sqr-sqrt`
53×	`add-cube-cbrt` `*-un-lft-identity`
45×	`times-frac`
12×	`associate-+r+`
11×	`add-exp-log`
9×	`pow1` `cbrt-prod`
8×	`associate-*l/`
6×	`add-cbrt-cube` `add-log-exp`
5×	`div-inv` `sqr-pow`
4×	`flip3--` `associate-r` `frac-add` `pow-exp` `flip--`
3×	`pow-unpow` `pow-pow` `associate-l`
2×	`div-exp`
1×	`+-commutative` `pow-to-exp` `rec-exp` `pow-flip` `flip3-+` `pow1/3` `1-exp` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `inv-pow` `unswap-sqr`

Counts

4 → 164

Calls

4 calls:

4.0ms	(* x (log y))
37.0ms	(+ (* (- b 0.5) (* 2 (log (pow (/ 1 c) -1/3)))) (* (- b 0.5) (log (cbrt c))))
1.0ms	(cbrt c)
4.0ms	(pow (/ 1 c) -1/3)

series712.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* x (log y))
310.0ms	(+ (* (- b 0.5) (* 2 (log (pow (/ 1 c) -1/3)))) (* (- b 0.5) (log (cbrt c))))
190.0ms	(cbrt c)
176.0ms	(pow (/ 1 c) -1/3)

simplify106.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	1012	1492
1	3579	1388
2	5001	1337

prune1.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes603.0ms

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	35	18
1	35	18

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.5s	27320×	body	80	nan
579.0ms	9195×	body	80	valid
1.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid