Details

sample311.0ms

Algorithm

intervals

Results

163.0ms	1744×	body	80	nan
22.0ms	257×	body	80	valid

simplify3.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
7	3868
6	1574
5	899
4	374
3	147
2	59
1	27
0	15

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (log (+ x y)) (log z)) t)
0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.2b	(* (- a 0.5) (log t))
0.6b	(+ (log (+ x y)) (log z))

rewrite328.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

61.0ms	(- (+ (log (+ x y)) (log z)) t)
213.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
31.0ms	(* (- a 0.5) (log t))
20.0ms	(+ (log (+ x y)) (log z))

series673.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(- (+ (log (+ x y)) (log z)) t)
287.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
89.0ms	(* (- a 0.5) (log t))
88.0ms	(+ (log (+ x y)) (log z))

simplify2.0s

Counts

114 → 114

Iterations

Iter	Nodes
done	5001
2	2283
1	637
0	240

prune957.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize105.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x y)) (cbrt (+ x y)))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

64.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
6.0ms	(cbrt (+ x y))
6.0ms	(cbrt (+ x y))
7.0ms	(cbrt (+ x y))

series766.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
195.0ms	(cbrt (+ x y))
185.0ms	(cbrt (+ x y))
166.0ms	(cbrt (+ x y))

simplify1.6s

Counts

107 → 107

Iterations

Iter	Nodes
done	5003
3	1760
2	689
1	275
0	116

prune1.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.6b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt`
8×	`pow1`
7×	`log-prod`
5×	`distribute-lft-out`
4×	`associate-+l+` `add-cbrt-cube` `add-exp-log` `log-pow` `add-log-exp`
3×	`associate-+r+` `pow1/3`
2×	`log-div` `flip3-+` `associate-+l-` `flip-+`
1×	`+-commutative` `sum-log`

Counts

4 → 57

Calls

4 calls:

10.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series950.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(+ (log (+ x y)) (log z))
301.0ms	(cbrt t)
271.0ms	(cbrt t)
255.0ms	(cbrt t)

simplify3.3s

Counts

69 → 69

Iterations

Iter	Nodes
done	5001
4	3925
3	1233
2	496
1	190
0	92

prune701.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize113.0ms

Local error

Found 4 expressions with local error:

0.6b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
0.6b	(cbrt t)
5.0b	(pow t 1/3)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`pow1`
7×	`log-prod`
6×	`cbrt-prod`
5×	`add-exp-log` `distribute-lft-out`
4×	`associate-+l+` `add-cbrt-cube` `log-pow` `add-log-exp`
3×	`pow-unpow` `associate-+r+` `unpow-prod-down`
2×	`log-div` `flip3-+` `pow1/3` `associate-+l-` `flip-+`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-pow` `unpow1/3` `pow-exp` `sqr-pow`

Counts

4 → 64

Calls

4 calls:

20.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
4.0ms	(pow t 1/3)

series946.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(+ (log (+ x y)) (log z))
301.0ms	(cbrt t)
256.0ms	(cbrt t)
287.0ms	(pow t 1/3)

simplify1.5s

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
3	1685
2	680
1	267
0	119

prune800.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes2.3s

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	24
1	24
0	19

end0.0ms

sample11.9s

Algorithm

intervals

Results

7.5s	56797×	body	80	nan
1.3s	8038×	body	80	valid