Details

sample93.0ms

Algorithm

intervals

Results

21.0ms	288×	body	80	valid
17.0ms	295×	body	80	nan

simplify8.5s

Counts

1 → 1

Iterations

Useful iterations: 5 (1.4s)

Iter	Nodes	Cost
0	15	16
1	30	16
2	88	15
3	276	15
4	776	15
5	2106	14
6	4827	14
done	5000	14

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- a 0.5) b)
0.0b	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
0.1b	(- (+ (+ x y) z) (* z (log t)))
0.3b	(* z (log t))

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

46.0ms	(* (- a 0.5) b)
915.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
276.0ms	(- (+ (+ x y) z) (* z (log t)))
17.0ms	(* z (log t))

series370.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (- a 0.5) b)
228.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
50.0ms	(- (+ (+ x y) z) (* z (log t)))
58.0ms	(* z (log t))

simplify2.5s

Counts

128 → 128

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	222	1851
1	578	1715
2	2382	1571
done	5000	1545

prune546.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma b (- a 0.5) (- z (* z (log t))))
0.0b	(+ (+ x y) (fma b (- a 0.5) (- z (* z (log t)))))
0.3b	(* z (log t))
0.3b	(- z (* z (log t)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
12×	`log-prod`
11×	`add-log-exp`
7×	`pow1`
6×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `associate--r+`
4×	`expm1-log1p-u` `fma-def` `associate-r` `log1p-expm1-u` `distribute-lft-out`
3×	`fma-neg` `associate-l` `prod-diff` `sum-log`
2×	`fma-udef`
1×	`+-commutative` `sub-neg` `associate-+l+` `associate-+r+` `flip3--` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

0.0ms	(fma b (- a 0.5) (- z (* z (log t))))
33.0ms	(+ (+ x y) (fma b (- a 0.5) (- z (* z (log t)))))
17.0ms	(* z (log t))
11.0ms	(- z (* z (log t)))

series373.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(fma b (- a 0.5) (- z (* z (log t))))
172.0ms	(+ (+ x y) (fma b (- a 0.5) (- z (* z (log t)))))
70.0ms	(* z (log t))
66.0ms	(- z (* z (log t)))

simplify3.1s

Counts

97 → 97

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	160	1145
1	356	1060
2	997	977
3	4354	933
done	5000	929

prune347.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(fma (* -2 (log (cbrt t))) z z)
0.3b	(* z (log (cbrt t)))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`cbrt-prod` `add-cube-cbrt` `log-prod` `*-un-lft-identity`
7×	`pow1`
6×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

0.0ms	(fma (* -2 (log (cbrt t))) z z)
15.0ms	(* z (log (cbrt t)))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series739.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(fma (* -2 (log (cbrt t))) z z)
119.0ms	(* z (log (cbrt t)))
206.0ms	(cbrt t)
232.0ms	(cbrt t)

simplify1.4s

Counts

82 → 82

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	109	627
1	185	600
2	427	517
3	1336	509
done	5000	506

prune414.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (- z (* (log (sqrt t)) z)) (* (log (sqrt t)) z))
0.3b	(* (log (sqrt t)) z)
0.3b	(* (log (sqrt t)) z)
0.3b	(- z (* (log (sqrt t)) z))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
13×	`add-cube-cbrt`
12×	`pow1` `associate-l`
11×	`add-log-exp`
10×	`prod-diff`
8×	`add-exp-log` `add-cbrt-cube`
7×	`fma-neg`
6×	`associate-r` `log-pow`
5×	`associate--l+`
4×	`expm1-log1p-u` `diff-log` `log1p-expm1-u`
3×	`sub-neg` `distribute-rgt-out--`
2×	`flip3--` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`associate--l-`

Counts

4 → 96

Calls

4 calls:

53.0ms	(- (- z (* (log (sqrt t)) z)) (* (log (sqrt t)) z))
14.0ms	(* (log (sqrt t)) z)
14.0ms	(* (log (sqrt t)) z)
9.0ms	(- z (* (log (sqrt t)) z))

series612.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(- (- z (* (log (sqrt t)) z)) (* (log (sqrt t)) z))
150.0ms	(* (log (sqrt t)) z)
159.0ms	(* (log (sqrt t)) z)
148.0ms	(- z (* (log (sqrt t)) z))

simplify2.7s

Counts

108 → 108

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	127	1401
1	329	1251
2	967	1020
3	3054	946
done	5000	931

prune471.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes344.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	15
1	17	15
done	17	15

end0.0ms

sample2.2s

Algorithm

intervals

Results

523.0ms	9148×	body	80	valid
420.0ms	8942×	body	80	nan