Details

sample428.0ms

Algorithm

intervals

Results

241.0ms	1797×	body	80	nan
28.0ms	258×	body	80	valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1502
4	434
3	150
2	59
1	27
0	15

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

10.0ms	(- t (log z))
66.0ms	(- (log (+ y x)) (- (- t (log z)) (* (- a 0.5) (log t))))
56.0ms	(- (- t (log z)) (* (- a 0.5) (log t)))
33.0ms	(* (- a 0.5) (log t))

series556.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(- t (log z))
325.0ms	(- (log (+ y x)) (- (- t (log z)) (* (- a 0.5) (log t))))
114.0ms	(- (- t (log z)) (* (- a 0.5) (log t)))
65.0ms	(* (- a 0.5) (log t))

simplify1.1s

Counts

113 → 113

Iterations

Iter	Nodes
done	5000
2	2629
1	647
0	246

prune834.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- a 0.5) (log (cbrt t)))
0.3b	(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (- a 0.5) (log (cbrt t))))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

20.0ms	(* (- a 0.5) (log (cbrt t)))
41.0ms	(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (- a 0.5) (log (cbrt t))))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.1s

Counts

4 → 12

Calls

4 calls:

192.0ms	(* (- a 0.5) (log (cbrt t)))
382.0ms	(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (- a 0.5) (log (cbrt t))))
266.0ms	(cbrt t)
285.0ms	(cbrt t)

simplify1.3s

Counts

101 → 101

Iterations

Iter	Nodes
done	5001
2	2395
1	482
0	173

prune923.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize80.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 2 (log (cbrt t))) (- a 0.5))
0.3b	(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (- a 0.5) (- (* -1/3 (log t)))))
0.4b	(* -1/3 (log t))
0.6b	(cbrt t)

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

19×	`distribute-rgt-in` `distribute-lft-in`
18×	`add-sqr-sqrt` `log-prod`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
12×	`pow1` `associate-+r+` `distribute-neg-in`
11×	`add-cbrt-cube` `add-exp-log`
9×	`associate-r`
6×	`associate-*r/` `add-log-exp`
5×	`flip3--` `flip--`
4×	`associate-+l+` `sub-neg` `associate-l` `pow-prod-down` `associate-*l/` `frac-add` `prod-exp` `cbrt-unprod`
3×	`cbrt-prod`
2×	`*-commutative` `distribute-rgt-neg-out`
1×	`+-commutative` `sum-log` `flip3-+` `pow1/3` `unsub-neg` `log-pow` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

49.0ms	(* (* 2 (log (cbrt t))) (- a 0.5))
46.0ms	(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (- a 0.5) (- (* -1/3 (log t)))))
7.0ms	(* -1/3 (log t))
1.0ms	(cbrt t)

series1.5s

Counts

4 → 12

Calls

4 calls:

298.0ms	(* (* 2 (log (cbrt t))) (- a 0.5))
696.0ms	(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (- a 0.5) (- (* -1/3 (log t)))))
246.0ms	(* -1/3 (log t))
251.0ms	(cbrt t)

simplify2.4s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	3973
1	713
0	242

prune1.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (log (+ y x)) (- (- t (log z)) (* (log (* (cbrt (- t)) (cbrt -1))) (- (* a 3) 1.5))))
0.1b	(- (- t (log z)) (* (log (* (cbrt (- t)) (cbrt -1))) (- (* a 3) 1.5)))
0.3b	(* (log (* (cbrt (- t)) (cbrt -1))) (- (* a 3) 1.5))
0.6b	(cbrt (- t))

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

84.0ms	(- (log (+ y x)) (- (- t (log z)) (* (log (* (cbrt (- t)) (cbrt -1))) (- (* a 3) 1.5))))
45.0ms	(- (- t (log z)) (* (log (* (cbrt (- t)) (cbrt -1))) (- (* a 3) 1.5)))
61.0ms	(* (log (* (cbrt (- t)) (cbrt -1))) (- (* a 3) 1.5))
2.0ms	(cbrt (- t))

series2.0s

Counts

4 → 12

Calls

4 calls:

869.0ms	(- (log (+ y x)) (- (- t (log z)) (* (log (* (cbrt (- t)) (cbrt -1))) (- (* a 3) 1.5))))
410.0ms	(- (- t (log z)) (* (log (* (cbrt (- t)) (cbrt -1))) (- (* a 3) 1.5)))
375.0ms	(* (log (* (cbrt (- t)) (cbrt -1))) (- (* a 3) 1.5))
306.0ms	(cbrt (- t))

simplify1.1s

Counts

109 → 109

Iterations

Iter	Nodes
done	5001
2	2477
1	635
0	243

prune959.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes726.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify13.0ms

Iterations

Iter	Nodes
done	45
3	45
2	44
1	37
0	24

end0.0ms

sample13.3s

Algorithm

intervals

Results

8.0s	55980×	body	80	nan
1.0s	8048×	body	80	valid