Details

sample412.0ms

Algorithm

intervals

Results

216.0ms	1923×	body	80	nan
29.0ms	256×	body	80	valid

simplify8.5s

Counts

1 → 1

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	15	16
1	27	16
2	61	15
3	155	15
4	356	15
5	858	15
6	1598	15
7	2194	15
8	2618	15
9	2630	15
done	2630	15

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize37.0ms

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))

rewrite440.0ms

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:

76.0ms	(- (+ (log (+ x y)) (log z)) t)
284.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
41.0ms	(* (- a 0.5) (log t))
27.0ms	(+ (log (+ x y)) (log z))

series608.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(- (+ (log (+ x y)) (log z)) t)
229.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
63.0ms	(* (- a 0.5) (log t))
99.0ms	(+ (log (+ x y)) (log z))

simplify1.8s

Counts

184 → 184

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	270	2956
1	704	2524
2	2399	2215
done	5000	2161

prune752.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (fma 2 (log (cbrt z)) (log (+ x y))) (log (cbrt z)))
0.5b	(fma 2 (log (cbrt z)) (log (+ x y)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

15.0ms	(+ (fma 2 (log (cbrt z)) (log (+ x y))) (log (cbrt z)))
1.0ms	(fma 2 (log (cbrt z)) (log (+ x y)))
2.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.0s

Counts

4 → 12

Calls

4 calls:

262.0ms	(+ (fma 2 (log (cbrt z)) (log (+ x y))) (log (cbrt z)))
187.0ms	(fma 2 (log (cbrt z)) (log (+ x y)))
300.0ms	(cbrt z)
284.0ms	(cbrt z)

simplify2.9s

Counts

73 → 73

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	99	750
1	205	706
2	525	648
3	1954	517
done	5002	495

prune515.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

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

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
48×	`prod-diff`
45×	`add-sqr-sqrt`
41×	`add-cube-cbrt`
39×	`associate-+r+`
22×	`distribute-rgt-in` `distribute-lft-in`
17×	`pow1`
12×	`log-pow`
8×	`add-log-exp`
7×	`log-prod` `fma-def` `distribute-lft-out`
6×	`add-exp-log` `associate-l` `add-cbrt-cube`
5×	`sub-neg` `associate-+l+` `associate-r` `distribute-lft-out--`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`flip3-+` `associate--l+` `sum-log` `flip-+`
2×	`+-commutative` `associate-+l-` `log-div` `associate-*r/` `fma-udef`
1×	`associate-+r-` `flip3--` `sqrt-pow1` `pow1/2` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

4 → 146

Calls

4 calls:

17.0ms	(+ (fma (log (sqrt t)) (- a 0.5) (+ (log (+ x y)) (- (log z) t))) (* (log (sqrt t)) (- a 0.5)))
27.0ms	(* (log (sqrt t)) (- a 0.5))
0.0ms	(fma (log (sqrt t)) (- a 0.5) (+ (log (+ x y)) (- (log z) t)))
31.0ms	(+ (log (+ x y)) (- (log z) t))

series727.0ms

Counts

4 → 12

Calls

4 calls:

264.0ms	(+ (fma (log (sqrt t)) (- a 0.5) (+ (log (+ x y)) (- (log z) t))) (* (log (sqrt t)) (- a 0.5)))
84.0ms	(* (log (sqrt t)) (- a 0.5))
148.0ms	(fma (log (sqrt t)) (- a 0.5) (+ (log (+ x y)) (- (log z) t)))
231.0ms	(+ (log (+ x y)) (- (log z) t))

simplify1.2s

Counts

158 → 158

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	298	3064
1	680	2709
2	1869	2390
done	5000	2277

prune750.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- a 0.5) (log (cbrt t)))
0.2b	(+ (log (+ x y)) (- (log z) t))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
19×	`log-prod`
17×	`associate-+r+`
16×	`pow1`
12×	`cbrt-prod` `prod-diff`
11×	`log-pow`
7×	`distribute-lft-out`
6×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
5×	`associate-r` `associate-l` `distribute-lft-out--`
4×	`expm1-log1p-u` `associate-+l+` `fma-def` `log1p-expm1-u`
3×	`pow1/3` `associate--l+`
2×	`associate-+l-` `log-div` `flip3-+` `associate-*l/` `sum-log` `flip-+`
1×	`+-commutative` `associate-+r-` `sub-neg` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

40.0ms	(* (- a 0.5) (log (cbrt t)))
57.0ms	(+ (log (+ x y)) (- (log z) t))
1.0ms	(cbrt t)
2.0ms	(cbrt t)

series930.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(* (- a 0.5) (log (cbrt t)))
242.0ms	(+ (log (+ x y)) (- (log z) t))
269.0ms	(cbrt t)
281.0ms	(cbrt t)

simplify3.1s

Counts

124 → 124

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	210	1262
1	440	1158
2	1224	1028
3	4835	1007
done	5000	1007

prune741.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes719.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	22
1	22	22
done	22	22

end0.0ms

sample13.3s

Algorithm

intervals

Results

7.5s	57140×	body	80	nan
1.5s	8030×	body	80	valid