Details

sample172.0ms

Algorithm

intervals

Results

86.0ms	1827×	body	80	nan
14.0ms	257×	body	80	valid

simplify2.8s

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	15	16
1	27	16
2	60	15
3	130	15
4	330	15
5	805	15
6	1457	15
7	2241	15
8	2436	15
9	2443	15
done	2443	15

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

0.0ms	(fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))
6.0ms	(+ (log (+ x y)) (log z))

series167.0ms

Counts

2 → 6

Calls

2 calls:

92.0ms	(fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))
75.0ms	(+ (log (+ x y)) (log z))

simplify883.0ms

Counts

46 → 46

Iterations

Useful iterations: done (881.0ms)

Iter	Nodes	Cost
0	114	567
1	263	548
2	638	490
3	2175	479
done	5000	476

prune191.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b	(+ (fma 2 (log (cbrt z)) (log (+ x y))) (log (cbrt z)))
0.4b	(fma 2 (log (cbrt z)) (log (+ x y)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite6.0ms

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:

4.0ms	(+ (fma 2 (log (cbrt z)) (log (+ x y))) (log (cbrt z)))
0.0ms	(fma 2 (log (cbrt z)) (log (+ x y)))
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series683.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(+ (fma 2 (log (cbrt z)) (log (+ x y))) (log (cbrt z)))
143.0ms	(fma 2 (log (cbrt z)) (log (+ x y)))
178.0ms	(cbrt z)
180.0ms	(cbrt z)

simplify800.0ms

Counts

73 → 73

Iterations

Useful iterations: done (798.0ms)

Iter	Nodes	Cost
0	99	750
1	206	706
2	502	648
3	1865	542
done	5001	534

prune368.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ (* (log t) (- a 0.5)) (- (+ (log (+ x y)) (log z)) t))
0.1b	(* (log t) (- a 0.5))
0.6b	(+ (log (+ x y)) (log z))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
57×	`prod-diff`
46×	`add-sqr-sqrt`
42×	`add-cube-cbrt`
27×	`associate-+r+`
26×	`associate-+l+`
23×	`pow1`
22×	`distribute-rgt-in` `distribute-lft-in`
18×	`log-pow`
17×	`distribute-lft-out`
10×	`add-log-exp`
7×	`log-prod`
6×	`associate-*r/`
5×	`add-exp-log` `sub-neg` `flip3--` `fma-def` `associate-r` `sum-log` `add-cbrt-cube` `flip--`
4×	`associate-l` `frac-add`
3×	`expm1-log1p-u` `flip3-+` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `associate-+l-` `log-div` `diff-log`
1×	`associate-+r-` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 144

Calls

3 calls:

56.0ms	(+ (* (log t) (- a 0.5)) (- (+ (log (+ x y)) (log z)) t))
14.0ms	(* (log t) (- a 0.5))
6.0ms	(+ (log (+ x y)) (log z))

series285.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(+ (* (log t) (- a 0.5)) (- (+ (log (+ x y)) (log z)) t))
105.0ms	(* (log t) (- a 0.5))
72.0ms	(+ (log (+ x y)) (log z))

simplify888.0ms

Counts

153 → 153

Iterations

Useful iterations: done (884.0ms)

Iter	Nodes	Cost
0	293	2998
1	749	2502
2	2439	2228
done	5000	2188

prune496.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (fma (log t) (- a 0.5) (log (+ x y))) (- (log z) t))
0.3b	(fma (log t) (- a 0.5) (log (+ x y)))
0.5b	(* (sqrt t) (sqrt t))
61.0b	(fma (- (sqrt t)) (sqrt t) (* (sqrt t) (sqrt t)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
23×	`pow1`
21×	`add-cube-cbrt`
18×	`sqrt-prod`
17×	`associate-+r+`
12×	`prod-diff`
8×	`sqrt-pow1` `pow1/2` `swap-sqr` `add-log-exp`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log-pow` `log1p-expm1-u` `unswap-sqr`
3×	`log-prod` `fma-def` `pow-prod-down` `associate--l+` `pow-sqr` `fma-udef` `distribute-lft-out`
2×	`sum-log` `distribute-lft-out--`
1×	`+-commutative` `pow2` `associate-+r-` `sub-neg` `associate-+l+` `flip3-+` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `flip-+`

Counts

4 → 110

Calls

4 calls:

14.0ms	(+ (fma (log t) (- a 0.5) (log (+ x y))) (- (log z) t))
0.0ms	(fma (log t) (- a 0.5) (log (+ x y)))
6.0ms	(* (sqrt t) (sqrt t))
0.0ms	(fma (- (sqrt t)) (sqrt t) (* (sqrt t) (sqrt t)))

series351.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(+ (fma (log t) (- a 0.5) (log (+ x y))) (- (log z) t))
125.0ms	(fma (log t) (- a 0.5) (log (+ x y)))
16.0ms	(* (sqrt t) (sqrt t))
111.0ms	(fma (- (sqrt t)) (sqrt t) (* (sqrt t) (sqrt t)))

simplify497.0ms

Counts

122 → 122

Iterations

Useful iterations: done (494.0ms)

Iter	Nodes	Cost
0	211	1638
1	467	1235
2	1354	1125
done	5000	1101

prune432.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes637.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	40
1	27	40
done	27	40

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.6s	55403×	body	80	nan
465.0ms	8030×	body	80	valid