Details

sample215.0ms

Algorithm

intervals

Results

126.0ms	1679×	body	80	nan
23.0ms	258×	body	80	valid

simplify62.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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))

rewrite152.0ms

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:

28.0ms	(- (+ (log (+ x y)) (log z)) t)
104.0ms	(+ (- (+ (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))

series487.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(- (+ (log (+ x y)) (log z)) t)
194.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
56.0ms	(* (- a 0.5) (log t))
71.0ms	(+ (log (+ x y)) (log z))

simplify60.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (50.0ms)

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

prune369.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t) (* (- a 0.5) (log t)))
0.2b	(* (- a 0.5) (log t))
0.4b	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
0.4b	(+ (log (+ x y)) (log (sqrt z)))

rewrite640.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

587.0ms	(+ (- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t) (* (- a 0.5) (log t)))
13.0ms	(* (- a 0.5) (log t))
29.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
7.0ms	(+ (log (+ x y)) (log (sqrt z)))

series648.0ms

Counts

4 → 12

Calls

4 calls:

284.0ms	(+ (- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t) (* (- a 0.5) (log t)))
55.0ms	(* (- a 0.5) (log t))
164.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
145.0ms	(+ (log (+ x y)) (log (sqrt z)))

simplify74.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	759	1405
1	2762	1276
2	5002	1251

prune446.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b	(+ (cbrt (pow (+ (log (+ x y)) (log (sqrt z))) 3)) (log (sqrt z)))
0.4b	(+ (log (+ x y)) (log (sqrt z)))
0.5b	(cbrt (pow (+ (log (+ x y)) (log (sqrt z))) 3))
0.7b	(pow (+ (log (+ x y)) (log (sqrt z))) 3)

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
26×	`pow1`
23×	`distribute-lft-out`
21×	`log-pow`
20×	`cbrt-prod`
16×	`log-prod`
15×	`add-sqr-sqrt` `add-cube-cbrt`
14×	`unpow-prod-down` `cube-prod`
12×	`associate-+r+`
6×	`sqrt-prod`
5×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
4×	`cube-div` `associate-+l+`
3×	`pow-unpow`
2×	`+-commutative` `cube-mult` `associate-+l-` `log-div` `cbrt-div` `unpow3` `sum-log` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 110

Calls

4 calls:

69.0ms	(+ (cbrt (pow (+ (log (+ x y)) (log (sqrt z))) 3)) (log (sqrt z)))
7.0ms	(+ (log (+ x y)) (log (sqrt z)))
8.0ms	(cbrt (pow (+ (log (+ x y)) (log (sqrt z))) 3))
9.0ms	(pow (+ (log (+ x y)) (log (sqrt z))) 3)

series930.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(+ (cbrt (pow (+ (log (+ x y)) (log (sqrt z))) 3)) (log (sqrt z)))
140.0ms	(+ (log (+ x y)) (log (sqrt z)))
144.0ms	(cbrt (pow (+ (log (+ x y)) (log (sqrt z))) 3))
475.0ms	(pow (+ (log (+ x y)) (log (sqrt z))) 3)

simplify111.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1083	1516
1	4476	1364
2	5002	1364

prune481.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt`
8×	`pow1`
7×	`log-prod`
5×	`distribute-lft-out`
4×	`add-exp-log` `associate-+l+` `log-pow` `add-cbrt-cube` `add-log-exp`
3×	`associate-+r+` `pow1/3`
2×	`associate-+l-` `log-div` `flip3-+` `flip-+`
1×	`+-commutative` `sum-log`

Counts

4 → 57

Calls

4 calls:

6.0ms	(+ (log (+ x y)) (log z))
0.0ms	(cbrt t)
0.0ms	(cbrt t)
1.0ms	(cbrt t)

series599.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(+ (log (+ x y)) (log z))
174.0ms	(cbrt t)
179.0ms	(cbrt t)
172.0ms	(cbrt t)

simplify76.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (24.0ms)

Iter	Nodes	Cost
0	185	279
1	378	255
2	949	246
3	3081	245
4	5002	245

prune297.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes527.0ms

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	34	19
1	34	19

end0.0ms

sample6.8s

Algorithm

intervals

Results

4.1s	56073×	body	80	nan
702.0ms	8034×	body	80	valid