Details

sample187.0ms

Algorithm

intervals

Results

93.0ms	2074×	body	80	nan
16.0ms	257×	body	80	valid

simplify59.0ms

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: 0.2b

localize16.0ms

Local error

Found 3 expressions with local error:

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

102.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
11.0ms	(* (- a 0.5) (log t))
6.0ms	(+ (log (+ x y)) (log z))

series322.0ms

Counts

3 → 9

Calls

3 calls:

193.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
57.0ms	(* (- a 0.5) (log t))
71.0ms	(+ (log (+ x y)) (log z))

simplify57.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (49.0ms)

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

prune324.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 80

Calls

3 calls:

43.0ms	(+ (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)))

series346.0ms

Counts

3 → 9

Calls

3 calls:

197.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
60.0ms	(* (- a 0.5) (log t))
90.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))

simplify58.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	623	837
1	2250	781
2	5001	772

prune332.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (log z) t) (+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t)))))
0.3b	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

39×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
29×	`associate-+l+`
26×	`*-un-lft-identity`
24×	`cbrt-prod` `associate-*l/` `frac-add`
19×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`flip3--` `flip--`
16×	`add-log-exp`
13×	`associate-+r+`
7×	`sum-log`
5×	`pow1`
4×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
3×	`associate--l+`
2×	`+-commutative` `pow1/3` `diff-log` `distribute-lft-out--`
1×	`associate-+l-` `sub-neg` `log-pow`

Counts

4 → 110

Calls

4 calls:

42.0ms	(+ (- (log z) t) (+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t)))))
17.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
0.0ms	(cbrt t)
1.0ms	(cbrt t)

series703.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(+ (- (log z) t) (+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t)))))
170.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
179.0ms	(cbrt t)
178.0ms	(cbrt t)

simplify120.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (104.0ms)

Iter	Nodes	Cost
0	852	1867
1	4440	1656
2	5001	1629

prune657.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

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

series719.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt t)
179.0ms	(cbrt t)
184.0ms	(cbrt t)
178.0ms	(cbrt t)

simplify131.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	40	156
1	81	144
2	193	136
3	696	136
4	4103	136
5	5002	136

prune335.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes410.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	25
1	35	25

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.5s	56138×	body	80	nan
451.0ms	8032×	body	80	valid