Details

sample131.0ms

Algorithm

intervals

Results

50.0ms	804×	body	80	nan
17.0ms	257×	body	80	valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	48	11
3	109	11
4	192	11
5	270	11
6	380	11
7	455	11
8	506	11
9	509	11
done	509	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite379.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

86.0ms	(- (- (* x (log y)) y) z)
245.0ms	(+ (- (- (* x (log y)) y) z) (log t))
26.0ms	(- (* x (log y)) y)
17.0ms	(* x (log y))

series281.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (- (* x (log y)) y) z)
83.0ms	(+ (- (- (* x (log y)) y) z) (log t))
88.0ms	(- (* x (log y)) y)
62.0ms	(* x (log y))

simplify2.6s

Counts

110 → 110

Iterations

Useful iterations: 3 (992.0ms)

Iter	Nodes	Cost
0	167	1160
1	373	1097
2	943	1042
3	3337	994
done	5001	994

prune418.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log (cbrt y)) x)
0.3b	(* (* 2 (log (cbrt y))) x)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

10.0ms	(* (log (cbrt y)) x)
27.0ms	(* (* 2 (log (cbrt y))) x)
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series862.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(* (log (cbrt y)) x)
183.0ms	(* (* 2 (log (cbrt y))) x)
263.0ms	(cbrt y)
253.0ms	(cbrt y)

simplify3.6s

Counts

72 → 72

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	88	525
1	196	493
2	712	406
3	2973	397
done	5001	397

prune471.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2 (log (cbrt y))) x)
0.3b	(* (log (pow (/ 1 y) -1/3)) x)
0.6b	(cbrt y)
5.1b	(pow (/ 1 y) -1/3)

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity`
13×	`pow1` `unpow-prod-down`
11×	`add-cbrt-cube`
9×	`times-frac`
6×	`associate-r`
5×	`associate-l`
4×	`pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`cbrt-prod` `pow-unpow` `pow-pow`
2×	`div-exp` `*-commutative`
1×	`pow-to-exp` `rec-exp` `pow-flip` `pow1/3` `1-exp` `log-pow` `div-inv` `inv-pow` `unswap-sqr` `sqr-pow`

Counts

4 → 80

Calls

4 calls:

37.0ms	(* (* 2 (log (cbrt y))) x)
16.0ms	(* (log (pow (/ 1 y) -1/3)) x)
2.0ms	(cbrt y)
13.0ms	(pow (/ 1 y) -1/3)

series1.3s

Counts

4 → 12

Calls

4 calls:

198.0ms	(* (* 2 (log (cbrt y))) x)
144.0ms	(* (log (pow (/ 1 y) -1/3)) x)
302.0ms	(cbrt y)
695.0ms	(pow (/ 1 y) -1/3)

simplify1.5s

Counts

92 → 92

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	167	855
1	363	743
2	1098	576
done	5000	538

prune514.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (+ (* 2 (log (cbrt t))) (- (* (log y) x) z)) y) (log (cbrt t)))
0.3b	(* (log y) x)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite713.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

697.0ms	(+ (- (+ (* 2 (log (cbrt t))) (- (* (log y) x) z)) y) (log (cbrt t)))
11.0ms	(* (log y) x)
2.0ms	(cbrt t)
2.0ms	(cbrt t)

series892.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(+ (- (+ (* 2 (log (cbrt t))) (- (* (log y) x) z)) y) (log (cbrt t)))
115.0ms	(* (log y) x)
324.0ms	(cbrt t)
276.0ms	(cbrt t)

simplify3.0s

Counts

81 → 81

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	134	931
1	298	901
2	906	781
3	4308	650
done	5000	650

prune335.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes253.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	23
1	27	23
done	27	23

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.5s	24589×	body	80	nan
719.0ms	8036×	body	80	valid
0.0ms	1×	body	160	valid