Details

sample317.0ms

Algorithm

intervals

Results

211.0ms	1944×	body	80	nan
33.0ms	257×	body	80	valid

simplify63.0ms

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

prune7.0ms

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)))
0.1b	(* (- a 0.5) (log t))
0.7b	(+ (log (+ x y)) (log z))

rewrite178.0ms

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:

34.0ms	(- (+ (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))
7.0ms	(+ (log (+ x y)) (log z))

series494.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(- (+ (log (+ x y)) (log z)) t)
195.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
60.0ms	(* (- a 0.5) (log t))
73.0ms	(+ (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

prune522.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (fma (log (sqrt t)) (- a 0.5) (- (+ (log (+ x y)) (log z)) t)) (* (- a 0.5) (log (sqrt t))))
0.1b	(* (- a 0.5) (log (sqrt t)))
0.2b	(fma (log (sqrt t)) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
0.7b	(+ (log (+ x y)) (log z))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

31×	`log-prod`
26×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
18×	`add-cube-cbrt`
15×	`associate-+r+`
13×	`pow1`
12×	`distribute-rgt-in` `distribute-lft-in` `sqrt-prod`
8×	`log-pow`
7×	`fma-def`
6×	`add-exp-log` `associate-r` `add-cbrt-cube` `add-log-exp`
5×	`associate-+l+` `associate-l` `distribute-lft-out`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `associate-+l-` `log-div` `associate-*l/` `sum-log` `fma-udef`
1×	`flip3--` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

5.0ms	(+ (fma (log (sqrt t)) (- a 0.5) (- (+ (log (+ x y)) (log z)) t)) (* (- a 0.5) (log (sqrt t))))
12.0ms	(* (- a 0.5) (log (sqrt t)))
0.0ms	(fma (log (sqrt t)) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
6.0ms	(+ (log (+ x y)) (log z))

series477.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(+ (fma (log (sqrt t)) (- a 0.5) (- (+ (log (+ x y)) (log z)) t)) (* (- a 0.5) (log (sqrt t))))
61.0ms	(* (- a 0.5) (log (sqrt t)))
119.0ms	(fma (log (sqrt t)) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
74.0ms	(+ (log (+ x y)) (log z))

simplify57.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	524	1114
1	1769	1026
2	5002	996

prune486.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
0.7b	(+ (log (+ x y)) (log z))

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:

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

series610.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt t)
177.0ms	(cbrt t)
184.0ms	(cbrt t)
72.0ms	(+ (log (+ x y)) (log z))

simplify82.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (26.0ms)

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

prune526.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.7b	(+ (log (+ x y)) (log z))
5.1b	(pow t 1/3)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`pow1`
7×	`log-prod`
6×	`cbrt-prod`
5×	`add-exp-log` `log-pow` `distribute-lft-out`
4×	`expm1-log1p-u` `associate-+l+` `fma-def` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `associate-+r+`
2×	`associate-+l-` `log-div` `flip3-+` `pow1/3` `flip-+`
1×	`+-commutative` `pow-to-exp` `pow-pow` `unpow1/3` `pow-exp` `sum-log` `sqr-pow`

Counts

4 → 76

Calls

4 calls:

0.0ms	(cbrt t)
0.0ms	(cbrt t)
6.0ms	(+ (log (+ x y)) (log z))
1.0ms	(pow t 1/3)

series617.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt t)
179.0ms	(cbrt t)
77.0ms	(+ (log (+ x y)) (log z))
180.0ms	(pow t 1/3)

simplify57.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	253	306
1	623	272
2	2011	262
3	5002	256

prune571.0ms

Pruning

8 alts after pruning (6 fresh and 2 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

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	14
1	21	14

end0.0ms

sample8.9s

Algorithm

intervals

Results

5.9s	54921×	body	80	nan
1.0s	8032×	body	80	valid