Details

sample245.0ms

Algorithm

intervals

Results

146.0ms	1679×	body	80	nan
26.0ms	258×	body	80	valid

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	27	9
1	61	8
2	161	8
3	393	8
4	984	8
5	2256	8
6	4095	8
7	5001	8

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

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))

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

91×	`*-un-lft-identity`
48×	`pow1`
43×	`add-sqr-sqrt`
42×	`prod-diff` `log-pow`
41×	`distribute-lft-out`
35×	`add-cube-cbrt`
28×	`associate-+l+`
19×	`log-prod`
14×	`add-log-exp`
13×	`fma-def`
11×	`distribute-lft-out--`
9×	`associate-+r+`
7×	`fma-neg`
6×	`add-exp-log` `distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*l/` `sum-log` `add-cbrt-cube` `flip--`
5×	`associate-+l-` `associate-l`
4×	`expm1-log1p-u` `log-div` `flip3-+` `diff-log` `associate-r` `frac-add` `flip-+` `log1p-expm1-u`
3×	`difference-of-squares`
2×	`+-commutative` `associate--l-` `sub-neg` `associate--l+`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 172

Calls

4 calls:

35.0ms	(- (+ (log (+ x y)) (log z)) t)
119.0ms	(+ (- (+ (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))

series480.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(- (+ (log (+ x y)) (log z)) t)
193.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
54.0ms	(* (- a 0.5) (log t))
72.0ms	(+ (log (+ x y)) (log z))

simplify78.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	706	1592
1	2722	1253
2	5001	1237

prune515.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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)))

rewrite746.0ms

Algorithm

rewrite-expression-head

Rules

133×	`*-un-lft-identity`
99×	`distribute-lft-out`
81×	`pow1`
75×	`log-pow`
47×	`associate-+l+`
40×	`add-sqr-sqrt`
39×	`prod-diff`
34×	`add-cube-cbrt`
28×	`log-prod`
26×	`fma-def`
18×	`associate-+r+`
15×	`add-log-exp`
12×	`distribute-lft-out--`
11×	`sum-log`
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×	`expm1-log1p-u` `log-div` `associate-r` `frac-add` `log1p-expm1-u`
3×	`+-commutative` `diff-log`
2×	`difference-of-squares`
1×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 188

Calls

4 calls:

684.0ms	(+ (- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t) (* (- a 0.5) (log t)))
13.0ms	(* (- a 0.5) (log t))
33.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
8.0ms	(+ (log (+ x y)) (log (sqrt z)))

series638.0ms

Counts

4 → 12

Calls

4 calls:

278.0ms	(+ (- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t) (* (- a 0.5) (log t)))
57.0ms	(* (- a 0.5) (log t))
162.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
141.0ms	(+ (log (+ x y)) (log (sqrt z)))

simplify87.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	828	1873
1	3206	1496
2	5002	1431

prune597.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b	(+ (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)

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
40×	`cbrt-prod`
35×	`pow1`
31×	`distribute-lft-out`
30×	`log-pow`
27×	`fma-def`
21×	`unpow-prod-down` `cube-prod`
20×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`log-prod`
12×	`associate-+r+`
6×	`sqrt-prod`
5×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
4×	`cube-div` `expm1-log1p-u` `associate-+l+` `log1p-expm1-u`
3×	`cube-mult` `pow-unpow` `unpow3` `sqr-pow`
2×	`+-commutative` `associate-+l-` `log-div` `cbrt-div` `sum-log`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 145

Calls

4 calls:

79.0ms	(+ (cbrt (pow (+ (log (+ x y)) (log (sqrt z))) 3)) (log (sqrt z)))
8.0ms	(+ (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)

series949.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(+ (cbrt (pow (+ (log (+ x y)) (log (sqrt z))) 3)) (log (sqrt z)))
144.0ms	(+ (log (+ x y)) (log (sqrt z)))
150.0ms	(cbrt (pow (+ (log (+ x y)) (log (sqrt z))) 3))
486.0ms	(pow (+ (log (+ x y)) (log (sqrt z))) 3)

simplify125.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (103.0ms)

Iter	Nodes	Cost
0	1152	1560
1	4828	1404
2	5001	1398

prune618.0ms

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

16×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`pow1` `cbrt-prod`
7×	`log-prod`
5×	`log-pow` `distribute-lft-out`
4×	`add-exp-log` `expm1-log1p-u` `associate-+l+` `fma-def` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`associate-+r+` `pow1/3`
2×	`associate-+l-` `log-div` `flip3-+` `flip-+`
1×	`+-commutative` `sum-log`

Counts

4 → 69

Calls

4 calls:

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

series612.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(+ (log (+ x y)) (log z))
177.0ms	(cbrt t)
178.0ms	(cbrt t)
182.0ms	(cbrt t)

simplify82.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (27.0ms)

Iter	Nodes	Cost
0	195	301
1	405	276
2	1046	266
3	3377	265
4	5001	265

prune371.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes492.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	17
1	29	17

end0.0ms

sample7.1s

Algorithm

intervals

Results

4.3s	56073×	body	80	nan
745.0ms	8034×	body	80	valid