Details

sample59.0ms

Algorithm

intervals

Results

16.0ms	287×	body	80	valid
15.0ms	281×	body	80	nan
0.0ms	1×	body	640	valid

simplify3.0s

Counts

1 → 1

Iterations

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

prune33.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
12×	`prod-diff`
11×	`add-cube-cbrt`
6×	`pow1`
4×	`log-pow`
3×	`log-prod` `fma-neg` `associate--r+` `add-log-exp`
2×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `fma-udef` `flip--`

Counts

2 → 46

Calls

2 calls:

7.0ms	(- 1 (log t))
0.0ms	(fma (- 1 (log t)) z (+ (fma b (- a 0.5) x) y))

series480.0ms

Counts

2 → 6

Calls

2 calls:

185.0ms	(- 1 (log t))
295.0ms	(fma (- 1 (log t)) z (+ (fma b (- a 0.5) x) y))

simplify611.0ms

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
2	710
1	218
0	103

prune270.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (/ E t))
0.1b	(fma (log (/ E t)) z (+ (fma b (- a 0.5) x) y))
0.3b	(/ E t)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
13×	`log-prod`
10×	`add-exp-log`
5×	`add-cbrt-cube`
4×	`pow1` `div-exp`
3×	`expm1-log1p-u` `associate-/r` `rem-log-exp` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`e-exp-1` `div-inv`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `log-pow` `fma-udef`

Counts

3 → 67

Calls

3 calls:

2.0ms	(log (/ E t))
0.0ms	(fma (log (/ E t)) z (+ (fma b (- a 0.5) x) y))
6.0ms	(/ E t)

series598.0ms

Counts

3 → 9

Calls

3 calls:

195.0ms	(log (/ E t))
367.0ms	(fma (log (/ E t)) z (+ (fma b (- a 0.5) x) y))
36.0ms	(/ E t)

simplify1.3s

Counts

76 → 76

Iterations

Iter	Nodes
done	5002
3	2628
2	545
1	221
0	116

prune548.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
1.6b	(cbrt E)
1.6b	(cbrt E)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt E)
1.0ms	(cbrt E)

series800.0ms

Counts

4 → 8

Calls

4 calls:

570.0ms	(cbrt t)
230.0ms	(cbrt t)
0.0ms	(cbrt E)
0.0ms	(cbrt E)

simplify893.0ms

Counts

60 → 60

Iterations

Iter	Nodes
done	5001
4	1717
3	553
2	195
1	90
0	55

prune598.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

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))

rewrite885.0ms

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:

34.0ms	(* (- a 0.5) b)
621.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
211.0ms	(- (+ (+ x y) z) (* z (log t)))
13.0ms	(* z (log t))

series352.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (- a 0.5) b)
214.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
47.0ms	(- (+ (+ x y) z) (* z (log t)))
48.0ms	(* z (log t))

simplify1.7s

Counts

128 → 128

Iterations

Iter	Nodes
done	5000
2	2744
1	615
0	222

prune917.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes1.2s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	26
2	26
1	24
0	19

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.1s	9018×	body	80	nan
1.0s	9212×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid