Details

sample68.0ms

Algorithm

intervals

Results

17.0ms	286×	body	80	valid
13.0ms	263×	body	80	nan

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
5	4010
4	996
3	269
2	84
1	30
0	15

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-log-exp`
24×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
13×	`diff-log`
12×	`log-prod`
10×	`add-cube-cbrt`
9×	`sum-log`
8×	`distribute-rgt-in` `distribute-lft-in`
7×	`pow1` `distribute-lft-out--`
6×	`associate-+l+` `add-cbrt-cube` `add-exp-log`
5×	`sub-neg` `flip3-+` `flip-+`
4×	`associate-+r+` `associate-r` `frac-sub` `associate--r+`
3×	`associate-l`
2×	`flip3--` `associate--l+` `flip--` `distribute-lft-out` `difference-of-squares`
1×	`+-commutative` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `associate--r-` `unswap-sqr`

Counts

4 → 94

Calls

4 calls:

111.0ms	(- x (- (+ (* z (log t)) (* b (- 0.5 a))) (+ y z)))
16.0ms	(+ (* z (log t)) (* b (- 0.5 a)))
51.0ms	(- (+ (* z (log t)) (* b (- 0.5 a))) (+ y z))
7.0ms	(* z (log t))

series584.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(- x (- (+ (* z (log t)) (* b (- 0.5 a))) (+ y z)))
119.0ms	(+ (* z (log t)) (* b (- 0.5 a)))
194.0ms	(- (+ (* z (log t)) (* b (- 0.5 a))) (+ y z))
62.0ms	(* z (log t))

simplify871.0ms

Counts

106 → 106

Iterations

Iter	Nodes
done	5000
2	2065
1	528
0	195

prune703.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite537.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-log-exp`
14×	`sum-log`
10×	`*-un-lft-identity`
8×	`add-sqr-sqrt`
7×	`pow1`
6×	`add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt`
4×	`flip3-+` `associate-l` `neg-log` `associate-*l/` `frac-sub` `flip-+`
3×	`flip3--` `associate-r` `flip--`
2×	`+-commutative` `associate-+l+` `sub-neg` `distribute-lft-out`
1×	`neg-sub0` `associate-+r+` `distribute-neg-in` `associate-+r-` `distribute-rgt-neg-in` `unsub-neg` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `associate-+l-` `cbrt-unprod` `associate--r+` `unswap-sqr`

Counts

4 → 74

Calls

4 calls:

18.0ms	(- (* (- 0.5 a) b) (+ z y))
386.0ms	(+ x (- (+ (- (* (- 0.5 a) b) (+ z y)) (* (log t) z))))
116.0ms	(+ (- (* (- 0.5 a) b) (+ z y)) (* (log t) z))
13.0ms	(* (log t) z)

series418.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(- (* (- 0.5 a) b) (+ z y))
159.0ms	(+ x (- (+ (- (* (- 0.5 a) b) (+ z y)) (* (log t) z))))
112.0ms	(+ (- (* (- 0.5 a) b) (+ z y)) (* (log t) z))
75.0ms	(* (log t) z)

simplify1.5s

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
2	2397
1	563
0	190

prune680.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (cbrt t))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite22.0ms

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×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

16.0ms	(* (cbrt t) (cbrt t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.0s

Counts

4 → 12

Calls

4 calls:

289.0ms	(* (cbrt t) (cbrt t))
295.0ms	(cbrt t)
246.0ms	(cbrt t)
215.0ms	(cbrt t)

simplify1.2s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	727
1	138
0	61

prune689.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

23.0ms	(* (cbrt (* (log t) z)) (cbrt (* (log t) z)))
6.0ms	(cbrt (* (log t) z))
3.0ms	(cbrt (* (log t) z))
3.0ms	(cbrt (* (log t) z))

series773.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(* (cbrt (* (log t) z)) (cbrt (* (log t) z)))
174.0ms	(cbrt (* (log t) z))
165.0ms	(cbrt (* (log t) z))
205.0ms	(cbrt (* (log t) z))

simplify518.0ms

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	854
1	217
0	89

prune573.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes1.2s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	26
1	26
0	20

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.4s	9003×	body	80	nan
866.0ms	9153×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid