Details

sample177.0ms

Algorithm

intervals

Results

82.0ms	913×	body	80	nan
33.0ms	303×	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) a) (* (- b 0.5) (log c)))
0.0b	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
0.2b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite1.3s

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:

262.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
1.0s	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
13.0ms	(* (- b 0.5) (log c))
4.0ms	(* x (log y))

series856.0ms

Counts

4 → 12

Calls

4 calls:

237.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
524.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
54.0ms	(* (- b 0.5) (log c))
41.0ms	(* x (log y))

simplify73.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	647	1027
1	2625	970
2	5003	954

prune396.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt c) (cbrt c))
0.5b	(cbrt c)
0.5b	(cbrt c)
0.5b	(cbrt c)

rewrite9.0ms

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:

5.0ms	(* (cbrt c) (cbrt c))
0.0ms	(cbrt c)
0.0ms	(cbrt c)
1.0ms	(cbrt c)

series742.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(* (cbrt c) (cbrt c))
178.0ms	(cbrt c)
179.0ms	(cbrt c)
182.0ms	(cbrt c)

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

prune436.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt c) (cbrt c))
0.5b	(cbrt c)
0.5b	(cbrt c)
5.1b	(pow c 1/3)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`cbrt-prod`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
8×	`pow1/3`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`unpow-prod-down` `pow-unpow`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-pow` `pow-plus` `unpow1/3` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 80

Calls

4 calls:

5.0ms	(* (cbrt c) (cbrt c))
0.0ms	(cbrt c)
0.0ms	(cbrt c)
1.0ms	(pow c 1/3)

series745.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(* (cbrt c) (cbrt c))
180.0ms	(cbrt c)
189.0ms	(cbrt c)
176.0ms	(pow c 1/3)

simplify156.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	173	288
1	778	209
2	4922	194
3	5003	194

prune456.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt c)
3.6b	(pow (cbrt c) 1/3)
4.5b	(pow (pow c 1/3) 2/3)
5.1b	(pow c 1/3)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

19×	`unpow-prod-down`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`pow-unpow`
8×	`add-exp-log`
6×	`pow1` `cbrt-prod` `pow-exp`
4×	`pow-to-exp` `pow-pow` `add-cbrt-cube` `add-log-exp` `sqr-pow`
2×	`unpow1/3` `pow1/3`

Counts

4 → 74

Calls

4 calls:

0.0ms	(cbrt c)
2.0ms	(pow (cbrt c) 1/3)
2.0ms	(pow (pow c 1/3) 2/3)
1.0ms	(pow c 1/3)

series962.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt c)
308.0ms	(pow (cbrt c) 1/3)
297.0ms	(pow (pow c 1/3) 2/3)
178.0ms	(pow c 1/3)

simplify72.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (66.0ms)

Iter	Nodes	Cost
0	230	275
1	721	237
2	2459	225
3	5002	221

prune581.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes570.0ms

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	37	19
1	37	19

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.5s	27652×	body	80	nan
1.1s	9257×	body	80	valid
1.0ms	2×	body	640	valid
1.0ms	1×	body	1280	valid