Details

sample93.0ms

Algorithm

intervals

Results

32.0ms	294×	body	80	valid
18.0ms	295×	body	80	nan

simplify9.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

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))

rewrite1.6s

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:

25.0ms	(* (- a 0.5) b)
830.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
685.0ms	(- (+ (+ x y) z) (* z (log t)))
19.0ms	(* z (log t))

series348.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (- a 0.5) b)
198.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
67.0ms	(- (+ (+ x y) z) (* z (log t)))
50.0ms	(* 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

prune429.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

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:

9.0ms	(* (log (cbrt t)) z)
22.0ms	(* (* 2 (log (cbrt t))) z)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series878.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(* (log (cbrt t)) z)
174.0ms	(* (* 2 (log (cbrt t))) z)
264.0ms	(cbrt t)
260.0ms	(cbrt t)

simplify3.0s

Counts

72 → 72

Iterations

Useful iterations: 3 (1.5s)

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

prune434.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1` `add-exp-log` `add-sqr-sqrt`
11×	`add-cbrt-cube`
10×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r`
5×	`associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`cbrt-prod` `unpow-prod-down` `pow-unpow`
2×	`*-commutative`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow1/3` `pow-exp` `log-pow` `unswap-sqr` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

23.0ms	(* (log (pow t 1/3)) z)
32.0ms	(* (* 2 (log (cbrt t))) z)
1.0ms	(cbrt t)
4.0ms	(pow t 1/3)

series832.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(* (log (pow t 1/3)) z)
171.0ms	(* (* 2 (log (cbrt t))) z)
271.0ms	(cbrt t)
272.0ms	(pow t 1/3)

simplify4.0s

Counts

78 → 78

Iterations

Useful iterations: done (4.0s)

Iter	Nodes	Cost
0	119	596
1	259	511
2	847	426
3	3742	407
done	5001	403

prune473.0ms

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)

rewrite10.0ms

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)
3.0ms	(pow t 1/3)

series1.2s

Counts

4 → 12

Calls

4 calls:

243.0ms	(cbrt t)
353.0ms	(cbrt (cbrt t))
406.0ms	(pow (cbrt t) 2/3)
204.0ms	(pow t 1/3)

simplify3.6s

Counts

76 → 76

Iterations

Useful iterations: 4 (1.5s)

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

prune492.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes757.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	26
1	30	26
done	30	26

end0.0ms

sample3.3s

Algorithm

intervals

Results

1.1s	9129×	body	80	valid
622.0ms	9227×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid