Details

sample37.0ms

Algorithm

intervals

Results

11.0ms	293×	body	80	valid
8.0ms	295×	body	80	nan

simplify888.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	12
1	25	12
2	46	12
3	84	12
4	145	12
5	184	12
6	237	12
7	346	12
8	540	12
9	704	12
10	745	12
11	746	12
done	746	12

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- 1.0 z) (log z))
0.0b	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.2b	(* y (+ (- 1.0 z) (log z)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

14.0ms	(+ (- 1.0 z) (log z))
9.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
43.0ms	(* y (+ (- 1.0 z) (log z)))

series333.0ms

Counts

3 → 9

Calls

3 calls:

175.0ms	(+ (- 1.0 z) (log z))
70.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
87.0ms	(* y (+ (- 1.0 z) (log z)))

simplify554.0ms

Counts

70 → 70

Iterations

Useful iterations: done (552.0ms)

Iter	Nodes	Cost
0	132	839
1	351	775
2	1107	704
done	5000	703

prune163.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 0.5) (* (- 1.0 z) y))
0.0b	(* (- 1.0 z) y)
0.1b	(+ (+ (* x 0.5) (* (- 1.0 z) y)) (* (log z) y))
0.3b	(* (log z) y)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
11×	`add-log-exp`
10×	`*-un-lft-identity`
9×	`pow1` `associate-l`
8×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
6×	`associate-r`
4×	`sum-log`
2×	`+-commutative` `flip3-+` `pow-prod-down` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`associate-+l+` `flip3--` `log-pow` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 65

Calls

4 calls:

3.0ms	(+ (* x 0.5) (* (- 1.0 z) y))
10.0ms	(* (- 1.0 z) y)
11.0ms	(+ (+ (* x 0.5) (* (- 1.0 z) y)) (* (log z) y))
3.0ms	(* (log z) y)

series211.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (* x 0.5) (* (- 1.0 z) y))
37.0ms	(* (- 1.0 z) y)
65.0ms	(+ (+ (* x 0.5) (* (- 1.0 z) y)) (* (log z) y))
71.0ms	(* (log z) y)

simplify684.0ms

Counts

77 → 77

Iterations

Useful iterations: done (682.0ms)

Iter	Nodes	Cost
0	135	902
1	358	792
2	1286	744
done	5000	732

prune207.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))
0.5b	(* (log z) (log z))
4.2b	(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
8.3b	(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
24×	`add-sqr-sqrt`
23×	`pow1`
18×	`distribute-rgt-in` `distribute-lft-in`
16×	`add-cube-cbrt`
13×	`add-exp-log` `add-cbrt-cube`
12×	`log-prod` `associate--l+` `distribute-lft-out--`
10×	`log-pow`
9×	`sub-neg`
8×	`times-frac` `associate-r` `associate-/r*`
7×	`associate-l`
6×	`swap-sqr` `associate--r+` `add-log-exp`
4×	`flip3--` `associate-*r/` `flip--` `difference-of-squares`
3×	`prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `associate-/l/` `unswap-sqr`
1×	`pow2` `frac-2neg` `pow-plus` `diff-log` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*`

Counts

4 → 127

Calls

4 calls:

11.0ms	(- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))
4.0ms	(* (log z) (log z))
37.0ms	(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
39.0ms	(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

series532.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))
159.0ms	(* (log z) (log z))
90.0ms	(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
237.0ms	(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

simplify973.0ms

Counts

139 → 139

Iterations

Useful iterations: 2 (412.0ms)

Iter	Nodes	Cost
0	248	2685
1	650	2411
2	2395	2101
done	5001	2101

prune376.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 0.5) (* y (cbrt (pow (+ (log z) (- 1.0 z)) 3))))
0.2b	(* y (cbrt (pow (+ (log z) (- 1.0 z)) 3)))
0.4b	(pow (+ (log z) (- 1.0 z)) 3)
14.3b	(cbrt (pow (+ (log z) (- 1.0 z)) 3))

rewrite325.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
44×	`cbrt-prod`
24×	`add-sqr-sqrt` `distribute-lft-out`
23×	`associate-r`
22×	`unpow-prod-down` `cube-prod`
19×	`pow1`
15×	`add-cube-cbrt`
12×	`log-pow` `distribute-lft-out--`
7×	`add-exp-log`
6×	`cube-div` `add-cbrt-cube` `add-log-exp`
5×	`unswap-sqr`
4×	`cbrt-div` `flip3-+` `flip-+` `sqr-pow`
3×	`cube-mult` `pow-unpow` `unpow3` `associate-l`
2×	`associate-*r/`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 119

Calls

4 calls:

2.0ms	(+ (* x 0.5) (* y (cbrt (pow (+ (log z) (- 1.0 z)) 3))))
288.0ms	(* y (cbrt (pow (+ (log z) (- 1.0 z)) 3)))
15.0ms	(pow (+ (log z) (- 1.0 z)) 3)
15.0ms	(cbrt (pow (+ (log z) (- 1.0 z)) 3))

series370.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(+ (* x 0.5) (* y (cbrt (pow (+ (log z) (- 1.0 z)) 3))))
85.0ms	(* y (cbrt (pow (+ (log z) (- 1.0 z)) 3)))
43.0ms	(pow (+ (log z) (- 1.0 z)) 3)
173.0ms	(cbrt (pow (+ (log z) (- 1.0 z)) 3))

simplify848.0ms

Counts

131 → 131

Iterations

Useful iterations: done (843.0ms)

Iter	Nodes	Cost
0	226	2143
1	606	1647
2	2102	1490
done	5000	1489

prune291.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes170.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	14
1	17	14
done	17	14

end0.0ms

sample1.0s

Algorithm

intervals

Results

328.0ms	9200×	body	80	valid
276.0ms	9417×	body	80	nan