Details

sample93.0ms

Algorithm

intervals

Results

37.0ms	294×	body	80	valid
19.0ms	295×	body	80	nan

simplify8.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	16
1	30	16
2	84	16
3	261	16
4	691	16
5	1728	16
6	3874	16
done	5000	16

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

rewrite974.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

35.0ms	(* (- a 0.5) b)
696.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
229.0ms	(- (+ (+ x y) z) (* z (log t)))
9.0ms	(* z (log t))

series361.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (- a 0.5) b)
226.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
41.0ms	(- (+ (+ x y) z) (* z (log t)))
60.0ms	(* z (log t))

simplify1.2s

Counts

102 → 102

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	204	1549
1	531	1433
2	2172	1351
done	5001	1342

prune407.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(* z (log (cbrt t)))
0.3b	(* (* 2 (log (cbrt t))) z)
0.5b	(cbrt t)
0.5b	(cbrt t)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

12.0ms	(* z (log (cbrt t)))
20.0ms	(* (* 2 (log (cbrt t))) z)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.1s

Counts

4 → 12

Calls

4 calls:

469.0ms	(* z (log (cbrt t)))
155.0ms	(* (* 2 (log (cbrt t))) z)
239.0ms	(cbrt t)
284.0ms	(cbrt t)

simplify2.2s

Counts

84 → 84

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	110	670
1	220	632
2	669	534
3	2700	518
done	5001	518

prune462.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.3b	(* z (log (pow t 1/3)))
0.3b	(* (* 2 (log (cbrt t))) z)
0.5b	(cbrt t)
5.2b	(pow t 1/3)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `log-prod` `*-un-lft-identity`
12×	`pow1` `add-exp-log`
11×	`add-cbrt-cube`
9×	`unpow-prod-down`
7×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`cbrt-prod` `pow-unpow` `sqr-pow`
2×	`*-commutative`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow1/3` `pow-exp` `log-pow` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

17.0ms	(* z (log (pow t 1/3)))
38.0ms	(* (* 2 (log (cbrt t))) z)
1.0ms	(cbrt t)
4.0ms	(pow t 1/3)

series814.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* z (log (pow t 1/3)))
184.0ms	(* (* 2 (log (cbrt t))) z)
284.0ms	(cbrt t)
245.0ms	(pow t 1/3)

simplify3.5s

Counts

92 → 92

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	148	799
1	296	674
2	868	574
3	3749	552
done	5000	546

prune451.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
0.5b	(cbrt (cbrt t))
4.6b	(pow (cbrt t) 2/3)
5.2b	(pow t 1/3)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
6×	`pow1` `add-exp-log` `pow-unpow`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-pow` `pow1/3`
2×	`pow-to-exp` `pow-exp` `sqr-pow`
1×	`unpow1/3`

Counts

4 → 64

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt (cbrt t))
3.0ms	(pow (cbrt t) 2/3)
10.0ms	(pow t 1/3)

series1.2s

Counts

4 → 12

Calls

4 calls:

282.0ms	(cbrt t)
353.0ms	(cbrt (cbrt t))
393.0ms	(pow (cbrt t) 2/3)
210.0ms	(pow t 1/3)

simplify3.5s

Counts

76 → 76

Iterations

Useful iterations: 4 (1.7s)

Iter	Nodes	Cost
0	101	470
1	198	381
2	403	357
3	1066	341
4	4730	337
done	5000	337

prune391.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes702.0ms

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	29	36
1	37	36
done	37	36

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.2s	9129×	body	80	valid
839.0ms	9227×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid