Details

sample85.0ms

Algorithm

intervals

Results

26.0ms	285×	body	80	nan
26.0ms	299×	body	80	valid

simplify4.4s

Counts

1 → 1

Iterations

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

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

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

Counts

3 → 59

Calls

3 calls:

1.0ms	(fma b (- a 0.5) (+ y x))
17.0ms	(- 1 (log t))
1.0ms	(fma z (- 1 (log t)) (fma b (- a 0.5) (+ y x)))

series505.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(fma b (- a 0.5) (+ y x))
177.0ms	(- 1 (log t))
250.0ms	(fma z (- 1 (log t)) (fma b (- a 0.5) (+ y x)))

simplify1.8s

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
3	1275
2	461
1	226
0	118

prune498.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
25×	`times-frac`
23×	`pow1`
22×	`add-cube-cbrt`
12×	`log-pow` `distribute-lft-out` `difference-of-squares`
8×	`add-cbrt-cube` `add-exp-log`
6×	`log-prod` `swap-sqr`
5×	`associate-/r` `associate-/l`
4×	`expm1-log1p-u` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`associate-/r/` `fma-udef` `associate-/l/`
1×	`pow2` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `pow-plus` `flip3--` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `flip-+` `div-inv` `flip--` `unswap-sqr`

Counts

4 → 116

Calls

4 calls:

0.0ms	(fma b (- a 0.5) (+ y x))
0.0ms	(fma z (/ (- 1 (* (log t) (log t))) (+ 1 (log t))) (fma b (- a 0.5) (+ y x)))
23.0ms	(/ (- 1 (* (log t) (log t))) (+ 1 (log t)))
11.0ms	(* (log t) (log t))

series1.8s

Counts

4 → 12

Calls

4 calls:

67.0ms	(fma b (- a 0.5) (+ y x))
950.0ms	(fma z (/ (- 1 (* (log t) (log t))) (+ 1 (log t))) (fma b (- a 0.5) (+ y x)))
502.0ms	(/ (- 1 (* (log t) (log t))) (+ 1 (log t)))
239.0ms	(* (log t) (log t))

simplify3.5s

Counts

128 → 128

Iterations

Iter	Nodes
done	5000
3	4560
2	1517
1	499
0	200

prune999.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
0.0b	(* (- a 0.5) b)
0.1b	(- (+ (+ x y) z) (* z (log t)))
0.3b	(* z (log t))

rewrite1.1s

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:

822.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
33.0ms	(* (- a 0.5) b)
249.0ms	(- (+ (+ x y) z) (* z (log t)))
9.0ms	(* z (log t))

series334.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
37.0ms	(* (- a 0.5) b)
65.0ms	(- (+ (+ x y) z) (* z (log t)))
52.0ms	(* z (log t))

simplify2.3s

Counts

132 → 132

Iterations

Iter	Nodes
done	5002
2	2256
1	608
0	226

prune937.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x y) (fma b (- a 0.5) (- z (* (log t) z))))
0.0b	(fma b (- a 0.5) (- z (* (log t) z)))
0.2b	(- z (* (log t) z))
0.3b	(* (log t) z)

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

43.0ms	(+ (+ x y) (fma b (- a 0.5) (- z (* (log t) z))))
0.0ms	(fma b (- a 0.5) (- z (* (log t) z)))
6.0ms	(- z (* (log t) z))
10.0ms	(* (log t) z)

series410.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(+ (+ x y) (fma b (- a 0.5) (- z (* (log t) z))))
64.0ms	(fma b (- a 0.5) (- z (* (log t) z)))
85.0ms	(- z (* (log t) z))
94.0ms	(* (log t) z)

simplify3.0s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
3	4839
2	1103
1	346
0	142

prune560.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes895.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	14

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.3s	9127×	body	80	nan
827.0ms	9178×	body	80	valid
1.0ms	1×	body	1280	valid