Details

sample124.0ms

Algorithm

intervals

Results

54.0ms	667×	body	80	nan
20.0ms	258×	body	80	valid

simplify3.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
13	4748
12	4393
11	3967
10	3593
9	3111
8	2448
7	1668
6	1152
5	611
4	289
3	106
2	46
1	20
0	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite253.0ms

Algorithm

rewrite-expression-head

Rules

21×	`log-prod`
20×	`*-un-lft-identity` `associate--l+`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt`
11×	`add-log-exp`
10×	`associate-+l+`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow1`
5×	`add-cbrt-cube` `add-exp-log`
4×	`diff-log` `associate-r` `distribute-lft-out`
3×	`associate-+r+` `sum-log` `sub-neg` `associate-l` `log-pow`
2×	`distribute-lft-out--`
1×	`+-commutative` `flip3-+` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `associate-+l-` `cbrt-unprod` `flip-+` `flip--` `unswap-sqr`

Counts

3 → 74

Calls

3 calls:

7.0ms	(- (* x (log y)) y)
222.0ms	(+ (- (- (* x (log y)) y) z) (log t))
20.0ms	(* x (log y))

series218.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(- (* x (log y)) y)
80.0ms	(+ (- (- (* x (log y)) y) z) (log t))
66.0ms	(* x (log y))

simplify2.7s

Counts

83 → 83

Iterations

Iter	Nodes
done	5001
3	3775
2	969
1	342
0	148

prune498.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (cbrt y)) x)
0.3b	(+ (* (log (cbrt y)) (+ x x)) (* (log (cbrt y)) x))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

9.0ms	(* (log (cbrt y)) x)
11.0ms	(+ (* (log (cbrt y)) (+ x x)) (* (log (cbrt y)) x))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series934.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(* (log (cbrt y)) x)
183.0ms	(+ (* (log (cbrt y)) (+ x x)) (* (log (cbrt y)) x))
274.0ms	(cbrt y)
262.0ms	(cbrt y)

simplify4.4s

Counts

68 → 68

Iterations

Iter	Nodes
done	5003
3	4507
2	840
1	232
0	89

prune515.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log y) x)
0.3b	(+ (* (log (cbrt y)) (+ x x)) (* 1/3 (* (log y) x)))
0.4b	(* 1/3 (* (log y) x))
0.6b	(cbrt y)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1`
11×	`add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l`
6×	`add-log-exp`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`cbrt-prod`
2×	`associate-+l+` `*-commutative`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `flip3-+` `pow1/3` `log-pow` `flip-+` `unswap-sqr`

Counts

4 → 61

Calls

4 calls:

6.0ms	(* (log y) x)
14.0ms	(+ (* (log (cbrt y)) (+ x x)) (* 1/3 (* (log y) x)))
13.0ms	(* 1/3 (* (log y) x))
1.0ms	(cbrt y)

series609.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(* (log y) x)
261.0ms	(+ (* (log (cbrt y)) (+ x x)) (* 1/3 (* (log y) x)))
68.0ms	(* 1/3 (* (log y) x))
197.0ms	(cbrt y)

simplify1.3s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
2	1138
1	336
0	129

prune517.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* 1/3 (* (log y) x)))
0.6b	(cbrt (* 1/3 (* (log y) x)))
0.6b	(cbrt (* 1/3 (* (log y) x)))
0.6b	(cbrt y)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-log-exp`

Counts

4 → 38

Calls

4 calls:

9.0ms	(cbrt (* 1/3 (* (log y) x)))
12.0ms	(cbrt (* 1/3 (* (log y) x)))
9.0ms	(cbrt (* 1/3 (* (log y) x)))
1.0ms	(cbrt y)

series733.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt (* 1/3 (* (log y) x)))
183.0ms	(cbrt (* 1/3 (* (log y) x)))
159.0ms	(cbrt (* 1/3 (* (log y) x)))
205.0ms	(cbrt y)

simplify1.2s

Counts

50 → 50

Iterations

Iter	Nodes
done	5000
4	1802
3	632
2	251
1	124
0	65

prune431.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes788.0ms

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	12
1	12
0	10

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.9s	23901×	body	80	nan
982.0ms	8025×	body	80	valid
1.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid