Details

sample302.0ms

Algorithm

intervals

Results

198.0ms	1944×	body	80	nan
31.0ms	257×	body	80	valid

simplify62.0ms

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))

rewrite174.0ms

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:

33.0ms	(- (+ (log (+ x y)) (log z)) t)
117.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
10.0ms	(* (- a 0.5) (log t))
6.0ms	(+ (log (+ x y)) (log z))

series508.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(- (+ (log (+ x y)) (log z)) t)
201.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
63.0ms	(* (- a 0.5) (log t))
78.0ms	(+ (log (+ x y)) (log z))

simplify76.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (63.0ms)

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

prune545.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

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))

rewrite26.0ms

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:

4.0ms	(+ (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))

series663.0ms

Counts

4 → 12

Calls

4 calls:

414.0ms	(+ (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)))
116.0ms	(fma (log (sqrt t)) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
72.0ms	(+ (log (+ x y)) (log z))

simplify51.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (41.0ms)

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

prune448.0ms

Pruning

9 alts after pruning (8 fresh and 1 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)
0.7b	(+ (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))

series603.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt t)
185.0ms	(cbrt t)
175.0ms	(cbrt t)
70.0ms	(+ (log (+ x y)) (log z))

simplify80.0ms

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

prune491.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

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 (/ 1 t) -1/3)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

0.0ms	(cbrt t)
0.0ms	(cbrt t)
6.0ms	(+ (log (+ x y)) (log z))
4.0ms	(pow (/ 1 t) -1/3)

series624.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt t)
180.0ms	(cbrt t)
75.0ms	(+ (log (+ x y)) (log z))
192.0ms	(pow (/ 1 t) -1/3)

simplify88.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	355	417
1	993	378
2	3408	362
3	5001	344

prune564.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes482.0ms

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

sample8.8s

Algorithm

intervals

Results

5.8s	54921×	body	80	nan
1.0s	8032×	body	80	valid