Details

sample146.0ms

Algorithm

intervals

Results

49.0ms	960×	body	80	nan
16.0ms	293×	body	80	valid

simplify70.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	11
1	101	11
2	428	11
3	1514	11
4	4620	11
5	5001	11
done	5001	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.0b	(+ (* x (log y)) z)
0.1b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite602.0ms

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:

560.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
9.0ms	(+ (* x (log y)) z)
22.0ms	(* (- b 0.5) (log c))
8.0ms	(* x (log y))

series396.0ms

Counts

4 → 12

Calls

4 calls:

249.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
50.0ms	(+ (* x (log y)) z)
59.0ms	(* (- b 0.5) (log c))
37.0ms	(* x (log y))

simplify64.0ms

Counts

108 → 108

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	619	860
1	2417	804
2	5001	793
done	5001	793

prune429.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

11.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series734.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(* (cbrt y) (cbrt y))
184.0ms	(cbrt y)
182.0ms	(cbrt y)
173.0ms	(cbrt y)

simplify86.0ms

Counts

85 → 85

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235
done	5003	235

prune441.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

8.0ms	(* x (log y))
39.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series588.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* x (log y))
180.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
180.0ms	(cbrt c)
182.0ms	(cbrt c)

simplify64.0ms

Counts

111 → 111

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	549	851
1	2155	729
2	5001	698
done	5001	698

prune628.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt c)
0.6b	(cbrt (cbrt c))
0.6b	(cbrt (cbrt c))
0.6b	(cbrt (cbrt c))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 53

Calls

4 calls:

1.0ms	(cbrt c)
1.0ms	(cbrt (cbrt c))
1.0ms	(cbrt (cbrt c))
2.0ms	(cbrt (cbrt c))

series926.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt c)
249.0ms	(cbrt (cbrt c))
249.0ms	(cbrt (cbrt c))
246.0ms	(cbrt (cbrt c))

simplify51.0ms

Counts

65 → 65

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	71	261
1	141	243
2	357	235
3	1377	235
4	5001	235
done	5001	235

prune492.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes485.0ms

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	35	18
1	35	18
done	35	18

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.4s	27179×	body	80	nan
532.0ms	9181×	body	80	valid
2.0ms	3×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid