Details

sample110.0ms

Algorithm

intervals

Results

25.0ms	287×	body	80	valid
21.0ms	281×	body	80	nan
0.0ms	1×	body	640	valid

simplify3.4s

Counts

1 → 1

Iterations

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

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

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))

series570.0ms

Counts

2 → 6

Calls

2 calls:

209.0ms	(- 1 (log t))
361.0ms	(fma (- 1 (log t)) z (+ (fma b (- a 0.5) x) y))

simplify893.0ms

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
2	710
1	218
0	103

prune304.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

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)

rewrite16.0ms

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:

4.0ms	(log (/ E t))
0.0ms	(fma (log (/ E t)) z (+ (fma b (- a 0.5) x) y))
7.0ms	(/ E t)

series695.0ms

Counts

3 → 9

Calls

3 calls:

269.0ms	(log (/ E t))
396.0ms	(fma (log (/ E t)) z (+ (fma b (- a 0.5) x) y))
30.0ms	(/ E t)

simplify1.6s

Counts

76 → 76

Iterations

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

prune770.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

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

series275.0ms

Counts

4 → 6

Calls

4 calls:

274.0ms	(cbrt t)
0.0ms	(cbrt E)
0.0ms	(cbrt E)
0.0ms	(cbrt E)

simplify1.8s

Counts

58 → 58

Iterations

Iter	Nodes
done	5000
4	2888
3	659
2	214
1	91
0	55

prune564.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

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))

rewrite1.0s

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:

22.0ms	(* (- a 0.5) b)
780.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
214.0ms	(- (+ (+ x y) z) (* z (log t)))
10.0ms	(* z (log t))

series336.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (- a 0.5) b)
187.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
53.0ms	(- (+ (+ x y) z) (* z (log t)))
53.0ms	(* z (log t))

simplify3.0s

Counts

128 → 128

Iterations

Iter	Nodes
done	5000
2	2744
1	615
0	222

prune1.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes974.0ms

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	24
1	24
0	18

end0.0ms

sample3.8s

Algorithm

intervals

Results

760.0ms	9018×	body	80	nan
757.0ms	9212×	body	80	valid
1.0ms	2×	body	1280	valid
1.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid