Details

sample98.0ms

Algorithm

intervals

Results

21.0ms	293×	body	80	valid
18.0ms	289×	body	80	nan

simplify6.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	2285
4	842
3	266
2	88
1	30
0	15

prune73.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

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` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `fma-udef` `flip--`

Counts

2 → 48

Calls

2 calls:

35.0ms	(- 1 (log t))
2.0ms	(fma z (- 1 (log t)) (fma b (- a 0.5) (+ y x)))

series687.0ms

Counts

2 → 6

Calls

2 calls:

235.0ms	(- 1 (log t))
452.0ms	(fma z (- 1 (log t)) (fma b (- a 0.5) (+ y x)))

simplify6.7s

Counts

54 → 54

Iterations

Iter	Nodes
done	5000
4	4328
3	1142
2	434
1	209
0	105

prune840.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize60.0ms

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)))
0.2b	(* z (log t))

rewrite1.6s

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` `insert-posit16` `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 → 120

Calls

4 calls:

45.0ms	(* (- a 0.5) b)
1.2s	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
362.0ms	(- (+ (+ x y) z) (* z (log t)))
21.0ms	(* z (log t))

series570.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (- a 0.5) b)
321.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
113.0ms	(- (+ (+ x y) z) (* z (log t)))
92.0ms	(* z (log t))

simplify5.0s

Counts

132 → 132

Iterations

Iter	Nodes
done	5015
2	2321
1	605
0	226

prune2.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma z (- (fma -2 (log (cbrt t)) 1) (log (cbrt t))) (fma b (- a 0.5) (+ y x)))
0.3b	(- (fma -2 (log (cbrt t)) 1) (log (cbrt t)))
0.5b	(cbrt t)
0.5b	(cbrt t)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
15×	`prod-diff`
9×	`cbrt-prod`
8×	`pow1`
7×	`log-pow`
6×	`log-prod` `associate--r+`
5×	`pow1/3` `add-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`fma-neg`
2×	`fma-udef` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `flip--` `difference-of-squares`

Counts

4 → 82

Calls

4 calls:

1.0ms	(fma z (- (fma -2 (log (cbrt t)) 1) (log (cbrt t))) (fma b (- a 0.5) (+ y x)))
13.0ms	(- (fma -2 (log (cbrt t)) 1) (log (cbrt t)))
2.0ms	(cbrt t)
2.0ms	(cbrt t)

series2.3s

Counts

4 → 12

Calls

4 calls:

843.0ms	(fma z (- (fma -2 (log (cbrt t)) 1) (log (cbrt t))) (fma b (- a 0.5) (+ y x)))
965.0ms	(- (fma -2 (log (cbrt t)) 1) (log (cbrt t)))
245.0ms	(cbrt t)
282.0ms	(cbrt t)

simplify5.5s

Counts

94 → 94

Iterations

Iter	Nodes
done	5001
3	2640
2	756
1	296
0	142

prune1.5s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-log-exp`
17×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
10×	`add-cube-cbrt`
7×	`pow1`
6×	`associate-+r+` `sum-log` `add-cbrt-cube` `prod-diff` `add-exp-log`
4×	`expm1-log1p-u` `fma-def` `associate-l` `frac-add` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
3×	`flip3-+` `flip3--` `fma-neg` `diff-log` `associate-r` `flip-+` `fma-udef` `flip--`
2×	`sub-neg` `associate--l+`
1×	`+-commutative` `associate-+l+` `associate-+r-` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 90

Calls

4 calls:

1.0ms	(fma (- a 0.5) b z)
84.0ms	(+ (+ x y) (- (fma (- a 0.5) b z) (* (log t) z)))
14.0ms	(- (fma (- a 0.5) b z) (* (log t) z))
19.0ms	(* (log t) z)

series503.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(fma (- a 0.5) b z)
257.0ms	(+ (+ x y) (- (fma (- a 0.5) b z) (* (log t) z)))
84.0ms	(- (fma (- a 0.5) b z) (* (log t) z))
99.0ms	(* (log t) z)

simplify2.9s

Counts

102 → 102

Iterations

Iter	Nodes
done	5000
2	1650
1	468
0	167

prune1.8s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes3.7s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	17
1	17
0	14

end0.0ms

sample3.7s

Algorithm

intervals

Results

889.0ms	9154×	body	80	valid
782.0ms	9163×	body	80	nan
1.0ms	3×	body	640	valid
1.0ms	1×	body	2560	valid
0.0ms	2×	body	160	valid