Details

sample178.0ms

Algorithm

intervals

Results

91.0ms	1944×	body	80	nan
14.0ms	257×	body	80	valid

simplify66.0ms

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))

rewrite184.0ms

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)
124.0ms	(+ (- (+ (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))

series475.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(- (+ (log (+ x y)) (log z)) t)
188.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
57.0ms	(* (- a 0.5) (log t))
70.0ms	(+ (log (+ x y)) (log z))

simplify78.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (64.0ms)

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

prune517.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
38×	`add-sqr-sqrt`
36×	`prod-diff`
34×	`add-cube-cbrt`
25×	`associate-+r+`
22×	`distribute-rgt-in` `distribute-lft-in`
13×	`pow1`
8×	`log-pow`
7×	`log-prod` `fma-def`
6×	`add-exp-log` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`associate-+l+` `associate-r` `distribute-lft-out`
4×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `associate-+l-` `log-div` `associate-*r/` `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 → 128

Calls

4 calls:

6.0ms	(+ (fma (log (sqrt t)) (- a 0.5) (- (+ (log (+ x y)) (log z)) t)) (* (log (sqrt t)) (- a 0.5)))
13.0ms	(* (log (sqrt t)) (- a 0.5))
0.0ms	(fma (log (sqrt t)) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
7.0ms	(+ (log (+ x y)) (log z))

series520.0ms

Counts

4 → 12

Calls

4 calls:

258.0ms	(+ (fma (log (sqrt t)) (- a 0.5) (- (+ (log (+ x y)) (log z)) t)) (* (log (sqrt t)) (- a 0.5)))
77.0ms	(* (log (sqrt t)) (- a 0.5))
114.0ms	(fma (log (sqrt t)) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
71.0ms	(+ (log (+ x y)) (log z))

simplify61.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	596	1561
1	2021	1285
2	5001	1278

prune503.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.7b	(+ (log (+ x y)) (log z))

rewrite30.0ms

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:

18.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
0.0ms	(cbrt t)
0.0ms	(cbrt t)
7.0ms	(+ (log (+ x y)) (log z))

series584.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
178.0ms	(cbrt t)
174.0ms	(cbrt t)
75.0ms	(+ (log (+ x y)) (log z))

simplify71.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (56.0ms)

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

prune629.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`pow1` `cbrt-prod`
7×	`log-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 → 77

Calls

4 calls:

3.0ms	(cbrt (* (cbrt t) (cbrt t)))
1.0ms	(cbrt (cbrt t))
6.0ms	(+ (log (+ x y)) (log z))
1.0ms	(pow t 1/3)

series757.0ms

Counts

4 → 12

Calls

4 calls:

262.0ms	(cbrt (* (cbrt t) (cbrt t)))
249.0ms	(cbrt (cbrt t))
69.0ms	(+ (log (+ x y)) (log z))
177.0ms	(pow t 1/3)

simplify70.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	311	376
1	813	336
2	2737	325
3	5001	319

prune545.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

regimes541.0ms

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	35	26
1	35	26

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.6s	54921×	body	80	nan
451.0ms	8032×	body	80	valid