Details

sample163.0ms

Algorithm

intervals

Results

83.0ms	1738×	body	80	nan
15.0ms	260×	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

prune11.0ms

Pruning

2 alts after pruning (2 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))
0.6b	(+ (log (+ x y)) (log z))

rewrite44.0ms

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:

9.0ms	(- (+ (log (+ x y)) (log z)) t)
14.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
7.0ms	(* (- a 0.5) (log t))
7.0ms	(+ (log (+ x y)) (log z))

series481.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(- (+ (log (+ x y)) (log z)) t)
190.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
60.0ms	(* (- a 0.5) (log t))
70.0ms	(+ (log (+ x y)) (log z))

simplify74.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (60.0ms)

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

prune517.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

43×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
28×	`associate-+l+`
27×	`*-un-lft-identity`
24×	`cbrt-prod`
21×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`associate-+r+`
9×	`pow1`
8×	`associate-*l/`
6×	`distribute-lft-out` `add-log-exp`
5×	`fma-def` `log-pow`
4×	`add-exp-log` `expm1-log1p-u` `flip3--` `frac-add` `add-cbrt-cube` `flip--` `log1p-expm1-u`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `associate-+l-` `log-div` `pow1/3` `sum-log`

Counts

4 → 111

Calls

4 calls:

13.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
7.0ms	(+ (log (+ x y)) (log z))

series791.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
355.0ms	(cbrt t)
172.0ms	(cbrt t)
71.0ms	(+ (log (+ x y)) (log z))

simplify98.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	653	918
1	2378	778
2	5003	742

prune698.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (pow t 1/3))))
0.5b	(cbrt t)
0.6b	(+ (log (+ x y)) (log z))
5.2b	(pow t 1/3)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

45×	`log-prod`
31×	`distribute-rgt-in` `distribute-lft-in`
28×	`associate-+l+` `*-un-lft-identity`
22×	`add-sqr-sqrt` `add-cube-cbrt`
17×	`associate-+r+`
15×	`cbrt-prod`
10×	`pow1`
9×	`unpow-prod-down`
8×	`associate-*l/`
6×	`distribute-lft-out` `add-log-exp`
5×	`add-exp-log` `fma-def` `log-pow`
4×	`expm1-log1p-u` `flip3--` `frac-add` `add-cbrt-cube` `flip--` `log1p-expm1-u`
3×	`pow-unpow` `flip3-+` `flip-+` `sqr-pow`
2×	`+-commutative` `associate-+l-` `log-div` `sum-log`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow1/3` `pow-exp`

Counts

4 → 120

Calls

4 calls:

15.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (pow t 1/3))))
1.0ms	(cbrt t)
7.0ms	(+ (log (+ x y)) (log z))
2.0ms	(pow t 1/3)

series669.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (pow t 1/3))))
183.0ms	(cbrt t)
68.0ms	(+ (log (+ x y)) (log z))
195.0ms	(pow t 1/3)

simplify82.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	770	955
1	2769	823
2	5002	787

prune718.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (cbrt t)) (cbrt (cbrt t)))
0.6b	(+ (log (+ x y)) (log z))
5.2b	(pow t 1/3)
5.2b	(pow t 1/3)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

54×	`cbrt-prod`
41×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
23×	`add-cube-cbrt`
18×	`pow1`
9×	`swap-sqr` `associate-r` `associate-l` `unswap-sqr`
8×	`add-exp-log`
7×	`log-prod`
6×	`unpow-prod-down` `pow-unpow` `pow1/3`
5×	`log-pow` `distribute-lft-out`
4×	`expm1-log1p-u` `associate-+l+` `fma-def` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`associate-+r+`
2×	`pow-to-exp` `associate-+l-` `log-div` `pow-pow` `flip3-+` `unpow1/3` `pow-prod-down` `pow-exp` `pow-sqr` `pow-prod-up` `flip-+` `sqr-pow`
1×	`+-commutative` `pow2` `pow-plus` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod`

Counts

4 → 126

Calls

4 calls:

8.0ms	(* (cbrt (cbrt t)) (cbrt (cbrt t)))
7.0ms	(+ (log (+ x y)) (log z))
2.0ms	(pow t 1/3)
3.0ms	(pow t 1/3)

series706.0ms

Counts

4 → 12

Calls

4 calls:

282.0ms	(* (cbrt (cbrt t)) (cbrt (cbrt t)))
69.0ms	(+ (log (+ x y)) (log z))
180.0ms	(pow t 1/3)
174.0ms	(pow t 1/3)

simplify45.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	346	689
1	1106	618
2	5001	589

prune762.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes586.0ms

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	30	16
1	30	16

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.7s	56718×	body	80	nan
471.0ms	8032×	body	80	valid