Details

sample75.0ms

Algorithm

intervals

Results

20.0ms	294×	body	80	valid
18.0ms	286×	body	80	nan

simplify3.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	4493
4	1075
3	279
2	88
1	30
0	15

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma b (- a 0.5) x)
0.1b	(fma (- 1 (log t)) z (+ (fma b (- a 0.5) x) y))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

2 → 20

Calls

2 calls:

0.0ms	(fma b (- a 0.5) x)
0.0ms	(fma (- 1 (log t)) z (+ (fma b (- a 0.5) x) y))

series408.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(fma b (- a 0.5) x)
363.0ms	(fma (- 1 (log t)) z (+ (fma b (- a 0.5) x) y))

simplify1.2s

Counts

26 → 26

Iterations

Iter	Nodes
done	5001
3	926
2	179
1	78
0	44

prune283.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite998.0ms

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×	`sum-log` `prod-diff`
9×	`pow1` `distribute-lft-out`
8×	`associate-+l+` `add-cbrt-cube` `associate-l` `add-exp-log`
7×	`associate-r`
6×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `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` `flip3-+` `log-pow` `associate-+l-` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 116

Calls

4 calls:

697.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
32.0ms	(* (- a 0.5) b)
252.0ms	(- (+ (+ x y) z) (* z (log t)))
13.0ms	(* z (log t))

series318.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
38.0ms	(* (- a 0.5) b)
54.0ms	(- (+ (+ x y) z) (* z (log t)))
44.0ms	(* z (log t))

simplify2.9s

Counts

128 → 128

Iterations

Iter	Nodes
done	5001
2	2733
1	615
0	222

prune1.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma b (- a 0.5) z)
0.1b	(- (fma b (- a 0.5) z) (* z (log t)))
0.2b	(* z (log t))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

0.0ms	(fma b (- a 0.5) z)
8.0ms	(- (fma b (- a 0.5) z) (* z (log t)))
8.0ms	(* z (log t))

series134.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(fma b (- a 0.5) z)
60.0ms	(- (fma b (- a 0.5) z) (* z (log t)))
40.0ms	(* z (log t))

simplify1.2s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
2	834
1	271
0	121

prune583.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (cbrt t)) z)
0.2b	(* (log (cbrt t)) (+ z z))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
15×	`associate-r`
14×	`add-cube-cbrt`
10×	`pow1` `associate-l`
8×	`add-cbrt-cube` `add-exp-log`
6×	`cbrt-prod`
4×	`expm1-log1p-u` `pow1/3` `log-pow` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-out` `distribute-lft-out`
2×	`pow-prod-down` `prod-exp` `associate-r/` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `distribute-lft1-in` `flip3-+` `count-2` `distribute-rgt1-in` `flip-+`

Counts

4 → 83

Calls

4 calls:

7.0ms	(* (log (cbrt t)) z)
37.0ms	(* (log (cbrt t)) (+ z z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series854.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(* (log (cbrt t)) z)
193.0ms	(* (log (cbrt t)) (+ z z))
265.0ms	(cbrt t)
226.0ms	(cbrt t)

simplify992.0ms

Counts

95 → 95

Iterations

Iter	Nodes
done	5000
2	1113
1	250
0	104

prune841.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes1.2s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	25
1	25
0	21

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.3s	9223×	body	80	valid
941.0ms	9394×	body	80	nan
1.0ms	4×	body	640	valid
1.0ms	2×	body	1280	valid