Details

sample124.0ms

Algorithm

intervals

Results

34.0ms	293×	body	80	valid
27.0ms	306×	body	80	nan

simplify4.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize43.0ms

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)))
0.2b	(* z (log t))

rewrite1.4s

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:

969.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
44.0ms	(* (- a 0.5) b)
327.0ms	(- (+ (+ x y) z) (* z (log t)))
16.0ms	(* z (log t))

series452.0ms

Counts

4 → 12

Calls

4 calls:

245.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
65.0ms	(* (- a 0.5) b)
71.0ms	(- (+ (+ x y) z) (* z (log t)))
72.0ms	(* z (log t))

simplify1.8s

Counts

102 → 102

Iterations

Useful iterations: done (1.8s)

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

prune879.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* (log (sqrt t)) z))
0.1b	(- (+ (+ x y) z) (* (log (sqrt t)) z))
0.2b	(* (log (sqrt t)) z)
0.2b	(* (log (sqrt t)) z)

rewrite1.6s

Algorithm

rewrite-expression-head

Rules

27×	`add-log-exp`
12×	`pow1` `add-sqr-sqrt` `associate-l`
10×	`diff-log`
8×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-r` `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 → 76

Calls

4 calls:

1.2s	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* (log (sqrt t)) z))
317.0ms	(- (+ (+ x y) z) (* (log (sqrt t)) z))
19.0ms	(* (log (sqrt t)) z)
20.0ms	(* (log (sqrt t)) z)

series583.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* (log (sqrt t)) z))
79.0ms	(- (+ (+ x y) z) (* (log (sqrt t)) z))
223.0ms	(* (log (sqrt t)) z)
183.0ms	(* (log (sqrt t)) z)

simplify1.2s

Counts

88 → 88

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	120	1221
1	310	1061
2	1421	952
done	5001	938

prune854.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

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

rewrite66.0ms

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:

19.0ms	(* z (log (cbrt t)))
40.0ms	(* (* 2 (log (cbrt t))) z)
2.0ms	(cbrt t)
2.0ms	(cbrt t)

series1.2s

Counts

4 → 12

Calls

4 calls:

180.0ms	(* z (log (cbrt t)))
230.0ms	(* (* 2 (log (cbrt t))) z)
386.0ms	(cbrt t)
371.0ms	(cbrt t)

simplify1.3s

Counts

84 → 84

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	110	670
1	259	634
2	1171	534
done	5000	520

prune921.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize102.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (pow t 2/3))
0.6b	(cbrt t)
0.6b	(cbrt t)
5.9b	(pow t 2/3)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

13×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow-exp`

Counts

4 → 54

Calls

4 calls:

3.0ms	(cbrt (pow t 2/3))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
6.0ms	(pow t 2/3)

series1.5s

Counts

4 → 12

Calls

4 calls:

370.0ms	(cbrt (pow t 2/3))
345.0ms	(cbrt t)
382.0ms	(cbrt t)
355.0ms	(pow t 2/3)

simplify3.1s

Counts

66 → 66

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	75	385
1	167	339
2	582	307
3	2581	293
done	5001	289

prune799.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes1.8s

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	17	23
1	22	23
done	22	23

end0.0ms

sample4.7s

Algorithm

intervals

Results

1.5s	9301×	body	80	nan
1.2s	9139×	body	80	valid
1.0ms	2×	body	320	valid