Details

sample50.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
10.0ms	230×	body	80	nan

simplify239.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	25	8
3	39	8
4	45	8
5	53	8
6	73	8
7	94	8
8	101	8
9	109	8
10	113	8
11	115	8
12	116	8
done	116	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (- (* x (log y)) z) y)
0.2b	(* x (log y))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

61.0ms	(- (- (* x (log y)) z) y)
13.0ms	(* x (log y))

series113.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(- (- (* x (log y)) z) y)
52.0ms	(* x (log y))

simplify1.3s

Counts

55 → 55

Iterations

Useful iterations: 3 (371.0ms)

Iter	Nodes	Cost
0	109	506
1	214	491
2	455	448
3	1209	427
done	5000	427

prune133.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log (cbrt y)) x)
0.3b	(+ (* (* 2 (log (cbrt y))) x) (* (log (cbrt y)) x))
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

15.0ms	(* (log (cbrt y)) x)
49.0ms	(+ (* (* 2 (log (cbrt y))) x) (* (log (cbrt y)) x))
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.3s

Counts

4 → 12

Calls

4 calls:

157.0ms	(* (log (cbrt y)) x)
606.0ms	(+ (* (* 2 (log (cbrt y))) x) (* (log (cbrt y)) x))
280.0ms	(cbrt y)
263.0ms	(cbrt y)

simplify4.8s

Counts

66 → 66

Iterations

Useful iterations: done (4.8s)

Iter	Nodes	Cost
0	87	597
1	209	481
2	742	423
3	3667	350
done	5000	345

prune250.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (* (* 3 x) (log (* (cbrt -1) (cbrt (- y))))) z) y)
0.0b	(log (* (cbrt -1) (cbrt (- y))))
0.4b	(* (* 3 x) (log (* (cbrt -1) (cbrt (- y)))))
0.5b	(cbrt (- y))

rewrite298.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

241.0ms	(- (- (* (* 3 x) (log (* (cbrt -1) (cbrt (- y))))) z) y)
14.0ms	(log (* (cbrt -1) (cbrt (- y))))
36.0ms	(* (* 3 x) (log (* (cbrt -1) (cbrt (- y)))))
3.0ms	(cbrt (- y))

series1.3s

Counts

4 → 12

Calls

4 calls:

194.0ms	(- (- (* (* 3 x) (log (* (cbrt -1) (cbrt (- y))))) z) y)
563.0ms	(log (* (cbrt -1) (cbrt (- y))))
258.0ms	(* (* 3 x) (log (* (cbrt -1) (cbrt (- y)))))
293.0ms	(cbrt (- y))

simplify3.1s

Counts

86 → 86

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	134	1079
1	288	1037
2	900	913
3	4011	884
done	5001	884

prune367.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (sqrt (- (* x (log y)) z)) (sqrt y))
0.2b	(* (+ (sqrt (- (* x (log y)) z)) (sqrt y)) (- (sqrt (- (* x (log y)) z)) (sqrt y)))
0.2b	(* x (log y))
0.2b	(* x (log y))

rewrite427.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
17×	`associate-r`
14×	`add-cube-cbrt`
12×	`pow1` `log-prod`
11×	`associate-l`
10×	`add-exp-log` `sqrt-prod` `add-cbrt-cube`
8×	`distribute-rgt-in` `distribute-lft-in`
6×	`add-log-exp`
4×	`frac-times` `flip3-+` `flip-+` `distribute-lft-out` `difference-of-squares`
3×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
2×	`sub-neg` `associate-r/` `associate-l/` `log-pow` `distribute-lft-out--`
1×	`+-commutative` `sum-log`

Counts

4 → 101

Calls

4 calls:

66.0ms	(+ (sqrt (- (* x (log y)) z)) (sqrt y))
321.0ms	(* (+ (sqrt (- (* x (log y)) z)) (sqrt y)) (- (sqrt (- (* x (log y)) z)) (sqrt y)))
17.0ms	(* x (log y))
17.0ms	(* x (log y))

series1.5s

Counts

4 → 12

Calls

4 calls:

222.0ms	(+ (sqrt (- (* x (log y)) z)) (sqrt y))
1.1s	(* (+ (sqrt (- (* x (log y)) z)) (sqrt y)) (- (sqrt (- (* x (log y)) z)) (sqrt y)))
68.0ms	(* x (log y))
63.0ms	(* x (log y))

simplify989.0ms

Counts

113 → 113

Iterations

Useful iterations: done (985.0ms)

Iter	Nodes	Cost
0	213	2079
1	543	1656
2	1790	1510
done	5000	1496

prune420.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes130.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample1.9s

Algorithm

intervals

Results

430.0ms	8032×	body	80	valid
377.0ms	8085×	body	80	nan
1.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid