Details

sample184.0ms

Algorithm

intervals

Results

78.0ms	1781×	body	80	nan
14.0ms	260×	body	80	valid

simplify60.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite269.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

50.0ms	(- (+ (log (+ x y)) (log z)) t)
182.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
22.0ms	(* (- a 0.5) (log t))
12.0ms	(+ (log (+ x y)) (log z))

series472.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(- (+ (log (+ x y)) (log z)) t)
186.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
57.0ms	(* (- a 0.5) (log t))
67.0ms	(+ (log (+ x y)) (log z))

simplify59.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	618	1003
1	2230	940
2	5001	924

prune384.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite153.0ms

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:

7.0ms	(- (log z) t)
38.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
79.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
25.0ms	(* (- a 0.5) (log t))

series374.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- (log z) t)
77.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
183.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
55.0ms	(* (- a 0.5) (log t))

simplify56.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	643	915
1	2283	856
2	5002	845

prune376.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (cbrt t))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite15.0ms

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:

10.0ms	(* (cbrt t) (cbrt t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series742.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(* (cbrt t) (cbrt t))
179.0ms	(cbrt t)
180.0ms	(cbrt t)
181.0ms	(cbrt t)

simplify93.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (88.0ms)

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

prune373.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
23×	`add-sqr-sqrt`
20×	`pow1`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`pow1/3` `swap-sqr` `log-pow`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
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 → 81

Calls

4 calls:

1.0ms	(cbrt (log t))
1.0ms	(cbrt (log t))
1.0ms	(cbrt (log t))
13.0ms	(* (cbrt (log t)) (cbrt (log t)))

series1.2s

Counts

4 → 12

Calls

4 calls:

251.0ms	(cbrt (log t))
447.0ms	(cbrt (log t))
278.0ms	(cbrt (log t))
273.0ms	(* (cbrt (log t)) (cbrt (log t)))

simplify91.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	121	487
1	438	416
2	2989	358
3	5001	351

prune271.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes481.0ms

Accuracy

0% (0.3b 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	26	17
1	26	17

end0.0ms

sample5.8s

Algorithm

intervals

Results

2.5s	56143×	body	80	nan
448.0ms	8041×	body	80	valid