Details

sample245.0ms

Algorithm

intervals

Results

74.0ms	725×	body	80	nan
58.0ms	290×	body	80	valid

simplify13.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	21
1	38	21
2	99	21
3	388	21
4	1231	21
5	3127	21
6	4656	21
done	5000	21

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (log y)) z)
0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.2b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite945.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

10.0ms	(+ (* x (log y)) z)
849.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
64.0ms	(* (- b 0.5) (log c))
19.0ms	(* x (log y))

series592.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(+ (* x (log y)) z)
393.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
72.0ms	(* (- b 0.5) (log c))
51.0ms	(* x (log y))

simplify1.4s

Counts

108 → 108

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	241	1624
1	611	1546
2	2121	1434
done	5002	1414

prune708.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize72.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 2 (log (cbrt y))) x)
0.3b	(+ (* (* 2 (log (cbrt y))) x) (* (log (cbrt y)) x))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

39.0ms	(* (* 2 (log (cbrt y))) x)
46.0ms	(+ (* (* 2 (log (cbrt y))) x) (* (log (cbrt y)) x))
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series957.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(* (* 2 (log (cbrt y))) x)
187.0ms	(+ (* (* 2 (log (cbrt y))) x) (* (log (cbrt y)) x))
286.0ms	(cbrt y)
318.0ms	(cbrt y)

simplify5.8s

Counts

64 → 64

Iterations

Useful iterations: 3 (2.6s)

Iter	Nodes	Cost
0	93	644
1	247	518
2	969	425
3	4950	353
done	5000	353

prune524.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log y))
0.3b	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (log (cbrt c)) (- b 0.5)))
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

18.0ms	(* x (log y))
38.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (log (cbrt c)) (- b 0.5)))
1.0ms	(cbrt c)
2.0ms	(cbrt c)

series1.2s

Counts

4 → 12

Calls

4 calls:

76.0ms	(* x (log y))
447.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (log (cbrt c)) (- b 0.5)))
377.0ms	(cbrt c)
314.0ms	(cbrt c)

simplify975.0ms

Counts

83 → 83

Iterations

Useful iterations: done (973.0ms)

Iter	Nodes	Cost
0	164	1074
1	433	918
2	1536	786
done	5001	740

prune628.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (* (cbrt (- c)) (cbrt -1)))
0.3b	(* x (log y))
0.4b	(* (log (* (cbrt (- c)) (cbrt -1))) (- (* 3 b) 1.5))
0.6b	(cbrt (- c))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

23.0ms	(log (* (cbrt (- c)) (cbrt -1)))
12.0ms	(* x (log y))
76.0ms	(* (log (* (cbrt (- c)) (cbrt -1))) (- (* 3 b) 1.5))
3.0ms	(cbrt (- c))

series1.2s

Counts

4 → 12

Calls

4 calls:

405.0ms	(log (* (cbrt (- c)) (cbrt -1)))
80.0ms	(* x (log y))
450.0ms	(* (log (* (cbrt (- c)) (cbrt -1))) (- (* 3 b) 1.5))
300.0ms	(cbrt (- c))

simplify2.3s

Counts

95 → 95

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	161	1022
1	308	985
2	879	870
3	3149	842
done	5002	842

prune479.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes871.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	30
1	36	30
done	36	30

end0.0ms

sample9.0s

Algorithm

intervals

Results

4.4s	27165×	body	80	nan
1.2s	9210×	body	80	valid
1.0ms	1×	body	640	valid
0.0ms	2×	body	160	valid