Details

sample81.0ms

Algorithm

intervals

Results

20.0ms	292×	body	80	valid
14.0ms	234×	body	80	nan

simplify4.0s

Counts

1 → 1

Iterations

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

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

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)))

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

series555.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(fma b (- a 0.5) (+ y x))
227.0ms	(- 1 (log t))
268.0ms	(fma z (- 1 (log t)) (fma b (- a 0.5) (+ y x)))

simplify1.8s

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
3	1340
2	543
1	225
0	115

prune454.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 3 expressions with local error:

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

rewrite234.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 84

Calls

3 calls:

24.0ms	(* (- a 0.5) b)
193.0ms	(- (+ (+ x y) z) (* z (log t)))
13.0ms	(* z (log t))

series135.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(* (- a 0.5) b)
49.0ms	(- (+ (+ x y) z) (* z (log t)))
53.0ms	(* z (log t))

simplify1.8s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1236
1	384
0	169

prune707.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (- (+ (+ x y) z) (* z (log (sqrt t)))) (* z (log (sqrt t))))
0.1b	(- (+ (+ x y) z) (* z (log (sqrt t))))
0.3b	(* z (log (sqrt t)))
0.3b	(* z (log (sqrt t)))

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
44×	`*-un-lft-identity`
33×	`add-sqr-sqrt`
29×	`add-cube-cbrt`
27×	`add-log-exp`
24×	`distribute-rgt-in` `distribute-lft-in` `sqrt-prod` `associate--r+`
13×	`prod-diff`
12×	`pow1` `associate-r`
10×	`diff-log` `associate--l+`
9×	`distribute-lft-out`
8×	`add-cbrt-cube` `fma-neg` `add-exp-log`
6×	`sum-log` `associate-l` `log-pow`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`sub-neg`
2×	`sqrt-pow1` `flip3--` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `unswap-sqr`
1×	`associate--l-`

Counts

4 → 153

Calls

4 calls:

792.0ms	(- (- (+ (+ x y) z) (* z (log (sqrt t)))) (* z (log (sqrt t))))
214.0ms	(- (+ (+ x y) z) (* z (log (sqrt t))))
9.0ms	(* z (log (sqrt t)))
9.0ms	(* z (log (sqrt t)))

series345.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(- (- (+ (+ x y) z) (* z (log (sqrt t)))) (* z (log (sqrt t))))
60.0ms	(- (+ (+ x y) z) (* z (log (sqrt t))))
105.0ms	(* z (log (sqrt t)))
97.0ms	(* z (log (sqrt t)))

simplify2.3s

Counts

165 → 165

Iterations

Iter	Nodes
done	5010
2	1794
1	504
0	194

prune1.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt t) (cbrt t))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

9.0ms	(* (cbrt t) (cbrt t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series993.0ms

Counts

4 → 12

Calls

4 calls:

287.0ms	(* (cbrt t) (cbrt t))
233.0ms	(cbrt t)
223.0ms	(cbrt t)
249.0ms	(cbrt t)

simplify3.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
4	4108
3	1072
2	382
1	140
0	65

prune722.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes1.3s

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	20
1	20
0	15

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.3s	9155×	body	80	valid
824.0ms	9084×	body	80	nan
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid