Details

sample320.0ms

Algorithm

intervals

Results

177.0ms	1959×	body	80	nan
18.0ms	256×	body	80	valid

simplify8.6s

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite448.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
28×	`associate-+l+`
27×	`pow1`
23×	`add-cube-cbrt`
22×	`log-pow`
21×	`prod-diff` `distribute-lft-out`
19×	`log-prod`
13×	`fma-def`
10×	`add-log-exp`
9×	`associate-+r+`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/` `distribute-lft-out--`
5×	`add-exp-log` `flip3--` `associate-l` `sum-log` `add-cbrt-cube` `flip--`
4×	`associate-r` `frac-add`
3×	`expm1-log1p-u` `associate-+l-` `flip3-+` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `log-div` `diff-log` `difference-of-squares`
1×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 120

Calls

3 calls:

367.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
53.0ms	(* (- a 0.5) (log t))
22.0ms	(+ (log (+ x y)) (log z))

series443.0ms

Counts

3 → 9

Calls

3 calls:

236.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
93.0ms	(* (- a 0.5) (log t))
114.0ms	(+ (log (+ x y)) (log z))

simplify1.7s

Counts

129 → 129

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	241	1955
1	642	1788
2	2247	1559
done	5001	1530

prune666.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log z) t)
0.1b	(+ (log (+ x y)) (fma (- a 0.5) (log t) (- (log z) t)))
0.2b	(fma (- a 0.5) (log t) (- (log z) t))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
12×	`prod-diff`
10×	`pow1`
7×	`log-prod` `log-pow`
5×	`add-log-exp`
4×	`associate-+l+` `fma-def` `fma-neg`
3×	`add-exp-log` `expm1-log1p-u` `associate--l+` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out`
2×	`associate-+l-` `log-div` `flip3-+` `flip-+` `fma-udef` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `associate-+r+` `flip3--` `diff-log` `sum-log` `flip--` `difference-of-squares`

Counts

3 → 72

Calls

3 calls:

9.0ms	(- (log z) t)
17.0ms	(+ (log (+ x y)) (fma (- a 0.5) (log t) (- (log z) t)))
1.0ms	(fma (- a 0.5) (log t) (- (log z) t))

series422.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(- (log z) t)
243.0ms	(+ (log (+ x y)) (fma (- a 0.5) (log t) (- (log z) t)))
77.0ms	(fma (- a 0.5) (log t) (- (log z) t))

simplify2.7s

Counts

81 → 81

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	170	1198
1	397	1034
2	994	921
3	3939	867
done	5000	866

prune413.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
26×	`associate-+l+`
25×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`log-prod`
18×	`prod-diff`
17×	`distribute-rgt-in` `distribute-lft-in`
15×	`associate-+r+`
12×	`cbrt-prod`
9×	`pow1`
6×	`add-log-exp`
5×	`fma-def` `log-pow` `distribute-lft-out`
4×	`add-exp-log` `expm1-log1p-u` `flip3--` `associate-r/` `associate-l/` `frac-add` `add-cbrt-cube` `flip--` `log1p-expm1-u`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `associate-+l-` `sub-neg` `log-div` `pow1/3` `sum-log`

Counts

4 → 108

Calls

4 calls:

51.0ms	(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (- a 0.5) (log (cbrt t))))
20.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.0s

Counts

4 → 12

Calls

4 calls:

409.0ms	(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (- a 0.5) (log (cbrt t))))
106.0ms	(+ (log (+ x y)) (log z))
262.0ms	(cbrt t)
258.0ms	(cbrt t)

simplify1.6s

Counts

120 → 120

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	228	1828
1	624	1616
2	1974	1320
done	5001	1291

prune943.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (* 2 (log (cbrt t))) (- a 0.5) (* (- a 0.5) (log (cbrt t))))
0.5b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
9×	`pow1` `add-sqr-sqrt` `add-cube-cbrt`
7×	`log-prod`
6×	`cbrt-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+`
2×	`associate-+l-` `log-div` `flip3-+` `pow1/3` `flip-+`
1×	`+-commutative` `sum-log` `fma-udef`

Counts

4 → 66

Calls

4 calls:

0.0ms	(fma (* 2 (log (cbrt t))) (- a 0.5) (* (- a 0.5) (log (cbrt t))))
21.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.1s

Counts

4 → 12

Calls

4 calls:

474.0ms	(fma (* 2 (log (cbrt t))) (- a 0.5) (* (- a 0.5) (log (cbrt t))))
98.0ms	(+ (log (+ x y)) (log z))
274.0ms	(cbrt t)
301.0ms	(cbrt t)

simplify1.7s

Counts

78 → 78

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	128	706
1	267	682
2	611	554
3	1836	505
done	5001	481

prune512.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes682.0ms

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	14	15
1	16	15
done	16	15

end0.0ms

sample13.5s

Algorithm

intervals

Results

7.4s	55271×	body	80	nan
1.6s	8032×	body	80	valid