Details

sample164.0ms

Algorithm

intervals

Results

82.0ms	1799×	body	80	nan
14.0ms	256×	body	80	valid

simplify56.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	9
1	59	9
2	153	9
3	360	9
4	813	9
5	1639	9
6	3143	9
7	5001	9

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (- a 0.5) (log t))
0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.5b	(+ (log (+ x y)) (log z))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

19×	`log-prod` `*-un-lft-identity`
15×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
10×	`pow1` `add-log-exp`
9×	`associate-+r+`
7×	`associate-+l+`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/`
5×	`add-exp-log` `flip3--` `associate-l` `sum-log` `log-pow` `add-cbrt-cube` `flip--` `distribute-lft-out`
4×	`associate-r` `frac-add`
3×	`associate-+l-` `flip3-+` `flip-+`
2×	`+-commutative` `log-div` `diff-log`
1×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 80

Calls

3 calls:

11.0ms	(* (- a 0.5) (log t))
101.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
6.0ms	(+ (log (+ x y)) (log z))

series321.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(* (- a 0.5) (log t))
191.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
70.0ms	(+ (log (+ x y)) (log z))

simplify54.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	585	828
1	2140	771
2	5001	755

prune305.0ms

Filtered

89 candidates to 64 candidates (71.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
22×	`log-prod`
19×	`add-sqr-sqrt`
14×	`add-log-exp`
13×	`add-cube-cbrt`
9×	`pow1` `associate-+l+`
7×	`associate-+r+` `sum-log`
6×	`add-exp-log` `distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*l/` `associate--l+` `add-cbrt-cube` `flip--`
5×	`associate-l`
4×	`associate-+l-` `associate-r` `frac-add`
3×	`flip3-+` `diff-log` `log-pow` `flip-+` `distribute-lft-out` `distribute-lft-out--`
2×	`+-commutative` `sub-neg` `log-div` `difference-of-squares`
1×	`associate-+r-` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

4.0ms	(- (log z) t)
44.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
11.0ms	(* (- a 0.5) (log t))
19.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))

series394.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(- (log z) t)
194.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
58.0ms	(* (- a 0.5) (log t))
88.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))

simplify64.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	643	915
1	2283	856
2	5001	845

prune385.0ms

Filtered

110 candidates to 81 candidates (73.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (cbrt t))
0.5b	(cbrt t)
0.5b	(cbrt t)
0.5b	(cbrt t)

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 t) (cbrt t))
0.0ms	(cbrt t)
0.0ms	(cbrt t)
1.0ms	(cbrt t)

series725.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(* (cbrt t) (cbrt t))
172.0ms	(cbrt t)
181.0ms	(cbrt t)
175.0ms	(cbrt t)

simplify95.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (83.0ms)

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

prune385.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))) (cbrt (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))))
0.5b	(+ (log (+ x y)) (log z))
0.5b	(+ (log (+ x y)) (log z))
0.5b	(+ (log (+ x y)) (log z))

rewrite522.0ms

Algorithm

rewrite-expression-head

Rules

84×	`cbrt-div`
62×	`associate-*l/`
56×	`flip3--` `frac-add` `flip--`
36×	`frac-times` `*-un-lft-identity`
26×	`add-sqr-sqrt`
23×	`pow1`
21×	`log-prod`
20×	`flip3-+` `flip-+`
18×	`add-cube-cbrt`
16×	`cbrt-prod`
15×	`distribute-lft-out`
12×	`associate-+l+` `log-pow`
9×	`associate-+r+`
6×	`add-exp-log` `associate-+l-` `log-div` `pow1/3` `associate-r/` `swap-sqr` `associate-r` `associate-l*`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`+-commutative` `sum-log`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 160

Calls

4 calls:

490.0ms	(* (cbrt (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))) (cbrt (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))))
6.0ms	(+ (log (+ x y)) (log z))
6.0ms	(+ (log (+ x y)) (log z))
6.0ms	(+ (log (+ x y)) (log z))

series4.9s

Counts

4 → 12

Calls

4 calls:

4.7s	(* (cbrt (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))) (cbrt (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))))
74.0ms	(+ (log (+ x y)) (log z))
74.0ms	(+ (log (+ x y)) (log z))
68.0ms	(+ (log (+ x y)) (log z))

simplify103.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	742	5227
1	2727	5101
2	5001	4978

prune747.0ms

Filtered

172 candidates to 115 candidates (66.9%)

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes669.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	9
1	19	9

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.6s	56338×	body	80	nan
447.0ms	8023×	body	80	valid