Details

sample93.0ms

Algorithm

intervals

Results

28.0ms	281×	body	80	nan
19.0ms	294×	body	80	valid

simplify2.5s

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

localize22.0ms

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))

rewrite905.0ms

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:

30.0ms	(* (- a 0.5) b)
638.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
203.0ms	(- (+ (+ x y) z) (* z (log t)))
28.0ms	(* z (log t))

series343.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (- a 0.5) b)
191.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
44.0ms	(- (+ (+ x y) z) (* z (log t)))
51.0ms	(* z (log t))

simplify1.6s

Counts

102 → 102

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	204	1549
1	565	1434
2	2431	1354
done	5000	1345

prune437.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (cbrt t)) z)
0.2b	(* (* 2 (log (cbrt t))) z)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite46.0ms

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)
33.0ms	(* (* 2 (log (cbrt t))) z)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series906.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(* (log (cbrt t)) z)
193.0ms	(* (* 2 (log (cbrt t))) z)
263.0ms	(cbrt t)
259.0ms	(cbrt t)

simplify1.1s

Counts

72 → 72

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	88	525
1	220	495
2	1216	413
done	5000	400

prune545.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 2 (log (cbrt t))) z)
0.3b	(+ (* (* 2 (log (cbrt t))) z) (* z (log (cbrt t))))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod` `associate-+r+` `log-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

4 → 63

Calls

4 calls:

31.0ms	(* (* 2 (log (cbrt t))) z)
31.0ms	(+ (* (* 2 (log (cbrt t))) z) (* z (log (cbrt t))))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series792.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(* (* 2 (log (cbrt t))) z)
150.0ms	(+ (* (* 2 (log (cbrt t))) z) (* z (log (cbrt t))))
220.0ms	(cbrt t)
281.0ms	(cbrt t)

simplify1.3s

Counts

75 → 75

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	123	811
1	317	735
2	1722	583
done	5000	564

prune504.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (* (cbrt -1) (cbrt (- t))))
0.1b	(- (+ (+ x y) z) (* (* 3 z) (log (* (cbrt -1) (cbrt (- t))))))
0.4b	(* (* 3 z) (log (* (cbrt -1) (cbrt (- t)))))
0.6b	(cbrt (- t))

rewrite277.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1`
13×	`add-log-exp`
12×	`add-exp-log`
10×	`cbrt-prod`
9×	`add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`pow-prod-down`
6×	`associate-r` `log-pow`
5×	`log-prod` `pow1/3`
4×	`prod-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `diff-log` `sum-log` `cbrt-unprod`
2×	`distribute-rgt-in` `distribute-lft-in` `rem-log-exp` `associate--r+`
1×	`neg-mul-1` `sub-neg` `flip3--` `associate-l` `associate--l+` `*-commutative` `flip--`

Counts

4 → 71

Calls

4 calls:

12.0ms	(log (* (cbrt -1) (cbrt (- t))))
207.0ms	(- (+ (+ x y) z) (* (* 3 z) (log (* (cbrt -1) (cbrt (- t))))))
50.0ms	(* (* 3 z) (log (* (cbrt -1) (cbrt (- t)))))
4.0ms	(cbrt (- t))

series1.2s

Counts

4 → 12

Calls

4 calls:

482.0ms	(log (* (cbrt -1) (cbrt (- t))))
210.0ms	(- (+ (+ x y) z) (* (* 3 z) (log (* (cbrt -1) (cbrt (- t))))))
211.0ms	(* (* 3 z) (log (* (cbrt -1) (cbrt (- t)))))
257.0ms	(cbrt (- t))

simplify1.1s

Counts

83 → 83

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	138	1119
1	336	1044
2	2103	929
done	5001	926

prune349.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes738.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	25
1	27	25
done	27	25

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.2s	9346×	body	80	nan
883.0ms	9235×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	640	valid