Details

sample86.0ms

Algorithm

intervals

Results

35.0ms	293×	body	80	valid
14.0ms	289×	body	80	nan

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	16
1	30	16
2	84	16
3	267	16
4	958	16
5	3749	16
done	5001	16

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

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))

rewrite932.0ms

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:

670.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
29.0ms	(* (- a 0.5) b)
214.0ms	(- (+ (+ x y) z) (* z (log t)))
13.0ms	(* z (log t))

series395.0ms

Counts

4 → 12

Calls

4 calls:

221.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
52.0ms	(* (- a 0.5) b)
74.0ms	(- (+ (+ x y) z) (* z (log t)))
48.0ms	(* z (log t))

simplify1.4s

Counts

102 → 102

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	204	1549
1	562	1434
2	2429	1354
done	5001	1345

prune464.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
0.1b	(- (+ (+ x y) z) (* (log (sqrt t)) z))
0.3b	(* (log (sqrt t)) z)
0.3b	(* z (log (sqrt t)))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

27×	`add-log-exp`
24×	`log-prod`
20×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1` `distribute-rgt-in` `distribute-lft-in` `sqrt-prod` `associate--r+`
10×	`diff-log`
9×	`associate-r` `associate-l`
8×	`add-exp-log` `add-cbrt-cube`
6×	`sum-log` `log-pow`
5×	`associate--l+`
3×	`sub-neg`
2×	`flip3--` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`associate--l-`

Counts

4 → 100

Calls

4 calls:

886.0ms	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
229.0ms	(- (+ (+ x y) z) (* (log (sqrt t)) z))
10.0ms	(* (log (sqrt t)) z)
11.0ms	(* z (log (sqrt t)))

series379.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
63.0ms	(- (+ (+ x y) z) (* (log (sqrt t)) z))
141.0ms	(* (log (sqrt t)) z)
104.0ms	(* z (log (sqrt t)))

simplify1.3s

Counts

112 → 112

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	182	1591
1	461	1473
2	2111	1323
done	5000	1305

prune485.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (+ (+ x y) z) (* (log (sqrt t)) z))
0.3b	(* z (log (sqrt (sqrt t))))
0.3b	(* z (log (sqrt (sqrt t))))
0.3b	(* (log (sqrt t)) z)

rewrite251.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod` `sqrt-prod`
28×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
19×	`associate-r`
18×	`pow1` `distribute-rgt-in` `distribute-lft-in`
13×	`log-pow` `add-log-exp`
12×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
9×	`sqrt-pow1`
5×	`pow1/2`
3×	`diff-log` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `associate--l+` `flip--`

Counts

4 → 118

Calls

4 calls:

187.0ms	(- (+ (+ x y) z) (* (log (sqrt t)) z))
14.0ms	(* z (log (sqrt (sqrt t))))
26.0ms	(* z (log (sqrt (sqrt t))))
17.0ms	(* (log (sqrt t)) z)

series558.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- (+ (+ x y) z) (* (log (sqrt t)) z))
156.0ms	(* z (log (sqrt (sqrt t))))
174.0ms	(* z (log (sqrt (sqrt t))))
171.0ms	(* (log (sqrt t)) z)

simplify1.4s

Counts

130 → 130

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	200	1519
1	460	1403
2	1873	1261
done	5002	1257

prune827.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log (fabs (cbrt t))) z)
0.3b	(* (log (sqrt (cbrt t))) z)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

16.0ms	(* (log (fabs (cbrt t))) z)
15.0ms	(* (log (sqrt (cbrt t))) z)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series820.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* (log (fabs (cbrt t))) z)
219.0ms	(* (log (sqrt (cbrt t))) z)
259.0ms	(cbrt t)
267.0ms	(cbrt t)

simplify811.0ms

Counts

75 → 75

Iterations

Useful iterations: done (808.0ms)

Iter	Nodes	Cost
0	98	534
1	205	511
2	804	450
done	5000	444

prune524.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes791.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	31
1	27	31
done	27	31

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.2s	8995×	body	80	nan
889.0ms	9123×	body	80	valid
3.0ms	2×	body	640	valid
1.0ms	2×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid