Details

sample125.0ms

Algorithm

intervals

Results

31.0ms	294×	body	80	valid
27.0ms	292×	body	80	nan

simplify9.1s

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

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite882.0ms

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:

620.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
36.0ms	(* (- a 0.5) b)
213.0ms	(- (+ (+ x y) z) (* z (log t)))
9.0ms	(* z (log t))

series300.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
32.0ms	(* (- a 0.5) b)
40.0ms	(- (+ (+ x y) z) (* z (log t)))
44.0ms	(* z (log t))

simplify1.1s

Counts

102 → 102

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	204	1549
1	531	1433
2	2168	1351
done	5000	1342

prune342.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log (cbrt t)) z)
0.3b	(* (* 2 (log (cbrt t))) z)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite50.0ms

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:

13.0ms	(* (log (cbrt t)) z)
32.0ms	(* (* 2 (log (cbrt t))) z)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series813.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(* (log (cbrt t)) z)
168.0ms	(* (* 2 (log (cbrt t))) z)
276.0ms	(cbrt t)
243.0ms	(cbrt t)

simplify2.8s

Counts

72 → 72

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	88	525
1	195	493
2	691	406
3	2791	397
done	5000	397

prune387.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt t)
10.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.0s

Counts

4 → 12

Calls

4 calls:

286.0ms	(cbrt t)
245.0ms	(cbrt t)
254.0ms	(cbrt t)
259.0ms	(cbrt t)

simplify1.9s

Counts

56 → 56

Iterations

Useful iterations: 3 (48.0ms)

Iter	Nodes	Cost
0	24	260
1	42	244
2	83	220
3	167	208
4	388	208
5	1317	208
done	5000	208

prune370.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt (* (* 2/3 (log t)) z))
0.6b	(cbrt (* (* 2/3 (log t)) z))
0.6b	(cbrt (* (* 2/3 (log t)) z))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 38

Calls

4 calls:

1.0ms	(cbrt t)
29.0ms	(cbrt (* (* 2/3 (log t)) z))
16.0ms	(cbrt (* (* 2/3 (log t)) z))
13.0ms	(cbrt (* (* 2/3 (log t)) z))

series810.0ms

Counts

4 → 12

Calls

4 calls:

275.0ms	(cbrt t)
193.0ms	(cbrt (* (* 2/3 (log t)) z))
172.0ms	(cbrt (* (* 2/3 (log t)) z))
170.0ms	(cbrt (* (* 2/3 (log t)) z))

simplify3.6s

Counts

50 → 50

Iterations

Useful iterations: 5 (2.4s)

Iter	Nodes	Cost
0	68	473
1	125	460
2	218	403
3	489	367
4	1366	340
5	4500	337
done	5001	337

prune250.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes661.0ms

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	20	25
1	27	25
done	27	25

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.1s	9180×	body	80	valid
678.0ms	8855×	body	80	nan
1.0ms	3×	body	640	valid
1.0ms	2×	body	1280	valid