Details

sample82.0ms

Algorithm

intervals

Results

22.0ms	286×	body	80	valid
18.0ms	293×	body	80	nan

simplify3.7s

Counts

1 → 1

Iterations

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

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

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

series543.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(fma b (- a 0.5) x)
158.0ms	(- 1 (log t))
343.0ms	(fma (- 1 (log t)) z (+ (fma b (- a 0.5) x) y))

simplify1.1s

Counts

65 → 65

Iterations

Iter	Nodes
done	5001
2	761
1	235
0	115

prune601.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma b (- a 0.5) x)
0.0b	(- 1 (log t))
0.0b	(+ (* (- 1 (log t)) z) (+ (fma b (- a 0.5) x) y))
0.2b	(* (- 1 (log t)) z)

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`add-cube-cbrt`
12×	`prod-diff`
11×	`pow1`
10×	`add-log-exp`
7×	`associate-l`
6×	`add-cbrt-cube` `associate-*l/` `add-exp-log`
5×	`log-pow`
4×	`expm1-log1p-u` `flip3--` `frac-add` `log1p-expm1-u` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`log-prod` `sum-log` `flip3-+` `fma-neg` `associate-r` `flip-+` `associate--r+`
1×	`+-commutative` `associate-+r+` `sub-neg` `fma-def` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 92

Calls

4 calls:

0.0ms	(fma b (- a 0.5) x)
13.0ms	(- 1 (log t))
47.0ms	(+ (* (- 1 (log t)) z) (+ (fma b (- a 0.5) x) y))
43.0ms	(* (- 1 (log t)) z)

series715.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(fma b (- a 0.5) x)
212.0ms	(- 1 (log t))
344.0ms	(+ (* (- 1 (log t)) z) (+ (fma b (- a 0.5) x) y))
121.0ms	(* (- 1 (log t)) z)

simplify2.3s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
2	2457
1	495
0	185

prune751.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite275.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

29.0ms	(+ (+ x y) z)
21.0ms	(* (- a 0.5) b)
206.0ms	(- (+ (+ x y) z) (* z (log t)))
13.0ms	(* z (log t))

series175.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ (+ x y) z)
49.0ms	(* (- a 0.5) b)
47.0ms	(- (+ (+ x y) z) (* z (log t)))
47.0ms	(* z (log t))

simplify1.6s

Counts

117 → 117

Iterations

Iter	Nodes
done	5000
2	1853
1	449
0	183

prune960.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- 1 (log t)) z)) (cbrt (* (- 1 (log t)) z)))
0.6b	(cbrt (* (- 1 (log t)) z))
0.6b	(cbrt (* (- 1 (log t)) z))
0.6b	(cbrt (* (- 1 (log t)) z))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `associate-*r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

31.0ms	(* (cbrt (* (- 1 (log t)) z)) (cbrt (* (- 1 (log t)) z)))
7.0ms	(cbrt (* (- 1 (log t)) z))
7.0ms	(cbrt (* (- 1 (log t)) z))
14.0ms	(cbrt (* (- 1 (log t)) z))

series685.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(* (cbrt (* (- 1 (log t)) z)) (cbrt (* (- 1 (log t)) z)))
176.0ms	(cbrt (* (- 1 (log t)) z))
168.0ms	(cbrt (* (- 1 (log t)) z))
166.0ms	(cbrt (* (- 1 (log t)) z))

simplify1.4s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	1295
1	295
0	123

prune878.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes1.1s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	20
1	20
0	15

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.2s	9239×	body	80	nan
984.0ms	9217×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid