Details

sample44.0ms

Algorithm

intervals

Results

13.0ms	286×	body	80	valid
9.0ms	257×	body	80	nan

simplify2.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	25	12
2	51	12
3	108	12
4	322	12
5	921	12
6	2246	12
7	3825	12
done	5001	12

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 48

Calls

2 calls:

39.0ms	(+ (- 1.0 z) (log z))
128.0ms	(* y (+ (- 1.0 z) (log z)))

series412.0ms

Counts

2 → 6

Calls

2 calls:

271.0ms	(+ (- 1.0 z) (log z))
141.0ms	(* y (+ (- 1.0 z) (log z)))

simplify733.0ms

Counts

54 → 54

Iterations

Useful iterations: 2 (153.0ms)

Iter	Nodes	Cost
0	95	529
1	260	501
2	1239	444
done	5001	444

prune215.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 53

Calls

3 calls:

37.0ms	(* (- 1.0 z) y)
30.0ms	(+ (* (- 1.0 z) y) (* (log z) y))
21.0ms	(* (log z) y)

series234.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(* (- 1.0 z) y)
99.0ms	(+ (* (- 1.0 z) y) (* (log z) y))
85.0ms	(* (log z) y)

simplify931.0ms

Counts

62 → 62

Iterations

Useful iterations: done (929.0ms)

Iter	Nodes	Cost
0	108	583
1	285	506
2	1337	463
done	5002	458

prune263.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (- 1.0 (- z (* 2 (log (cbrt z))))) (log (cbrt z)))
0.2b	(* y (+ (- 1.0 (- z (* 2 (log (cbrt z))))) (log (cbrt z))))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite345.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

86.0ms	(+ (- 1.0 (- z (* 2 (log (cbrt z))))) (log (cbrt z)))
253.0ms	(* y (+ (- 1.0 (- z (* 2 (log (cbrt z))))) (log (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.1s

Counts

4 → 12

Calls

4 calls:

415.0ms	(+ (- 1.0 (- z (* 2 (log (cbrt z))))) (log (cbrt z)))
191.0ms	(* y (+ (- 1.0 (- z (* 2 (log (cbrt z))))) (log (cbrt z))))
263.0ms	(cbrt z)
272.0ms	(cbrt z)

simplify856.0ms

Counts

87 → 87

Iterations

Useful iterations: done (853.0ms)

Iter	Nodes	Cost
0	129	1148
1	345	1109
2	1559	788
done	5002	693

prune402.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (+ (- 1.0 z) (* 2/3 (log z))))
0.2b	(* y (log (cbrt z)))
0.4b	(* 2/3 (log z))
0.6b	(cbrt z)

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
18×	`log-prod`
17×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1` `associate-r`
10×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
9×	`cbrt-prod` `associate-l`
4×	`add-log-exp`
3×	`pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`pow1/3` `associate-*r/`
1×	`flip3-+` `flip-+`

Counts

4 → 90

Calls

4 calls:

78.0ms	(* y (+ (- 1.0 z) (* 2/3 (log z))))
11.0ms	(* y (log (cbrt z)))
16.0ms	(* 2/3 (log z))
1.0ms	(cbrt z)

series760.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(* y (+ (- 1.0 z) (* 2/3 (log z))))
130.0ms	(* y (log (cbrt z)))
225.0ms	(* 2/3 (log z))
257.0ms	(cbrt z)

simplify700.0ms

Counts

102 → 102

Iterations

Useful iterations: done (697.0ms)

Iter	Nodes	Cost
0	182	948
1	439	899
2	1486	795
done	5001	783

prune375.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes137.0ms

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	17	20
1	23	20
done	23	20

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.2s	9228×	body	80	valid
518.0ms	9333×	body	80	nan