Details

sample106.0ms

Algorithm

intervals

Results

39.0ms	353×	body	80	nan
25.0ms	306×	body	80	valid

simplify3.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	4526
6	2495
5	1087
4	364
3	123
2	57
1	26
0	11

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
11×	`associate-+r+`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`prod-diff`
5×	`pow1` `add-log-exp`
4×	`fma-def` `distribute-lft-out`
3×	`associate-+l+` `log-prod` `log-pow`
2×	`expm1-log1p-u` `sum-log` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `distribute-lft-out--`
1×	`+-commutative` `associate-+r-` `sub-neg` `flip3-+` `diff-log` `flip-+` `fma-udef`

Counts

2 → 47

Calls

2 calls:

15.0ms	(+ (log z) (- 1.0 z))
0.0ms	(fma y (+ (log z) (- 1.0 z)) (* x 0.5))

series331.0ms

Counts

2 → 6

Calls

2 calls:

256.0ms	(+ (log z) (- 1.0 z))
75.0ms	(fma y (+ (log z) (- 1.0 z)) (* x 0.5))

simplify817.0ms

Counts

53 → 53

Iterations

Iter	Nodes
done	5000
2	932
1	273
0	110

prune332.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
15×	`prod-diff`
14×	`add-cube-cbrt`
12×	`distribute-lft-out`
10×	`pow1`
8×	`add-log-exp`
7×	`log-pow`
5×	`fma-neg`
4×	`fma-def`
3×	`expm1-log1p-u` `associate-+l+` `log-prod` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `distribute-lft-out--`
2×	`sum-log` `diff-log`
1×	`+-commutative` `sub-neg` `flip3-+` `flip3--` `associate--l+` `flip-+` `fma-udef` `flip--` `difference-of-squares`

Counts

3 → 72

Calls

3 calls:

69.0ms	(- (+ (log z) 1.0) z)
10.0ms	(+ (log z) 1.0)
1.0ms	(fma y (- (+ (log z) 1.0) z) (* x 0.5))

series433.0ms

Counts

3 → 9

Calls

3 calls:

189.0ms	(- (+ (log z) 1.0) z)
168.0ms	(+ (log z) 1.0)
76.0ms	(fma y (- (+ (log z) 1.0) z) (* x 0.5))

simplify950.0ms

Counts

81 → 81

Iterations

Iter	Nodes
done	5001
2	1062
1	304
0	124

prune433.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite248.0ms

Algorithm

rewrite-expression-head

Rules

60×	`frac-times` `flip3-+` `flip-+`
40×	`*-un-lft-identity`
39×	`pow1`
30×	`associate-*l/`
26×	`cbrt-div`
18×	`associate-*r/` `distribute-lft-out`
12×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `swap-sqr` `add-exp-log`
10×	`associate-r`
9×	`log-pow` `add-cube-cbrt`
7×	`pow-plus` `pow-prod-up`
6×	`associate-l`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow2` `pow-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `pow3` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `pow1/3` `rem-cbrt-cube` `fma-udef`

Counts

4 → 157

Calls

4 calls:

0.0ms	(fma y (- (cbrt (* (* (+ (log z) 1.0) (+ (log z) 1.0)) (+ (log z) 1.0))) z) (* x 0.5))
114.0ms	(* (* (+ (log z) 1.0) (+ (log z) 1.0)) (+ (log z) 1.0))
53.0ms	(cbrt (* (* (+ (log z) 1.0) (+ (log z) 1.0)) (+ (log z) 1.0)))
68.0ms	(* (+ (log z) 1.0) (+ (log z) 1.0))

series701.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(fma y (- (cbrt (* (* (+ (log z) 1.0) (+ (log z) 1.0)) (+ (log z) 1.0))) z) (* x 0.5))
250.0ms	(* (* (+ (log z) 1.0) (+ (log z) 1.0)) (+ (log z) 1.0))
170.0ms	(cbrt (* (* (+ (log z) 1.0) (+ (log z) 1.0)) (+ (log z) 1.0)))
218.0ms	(* (+ (log z) 1.0) (+ (log z) 1.0))

simplify922.0ms

Counts

169 → 169

Iterations

Iter	Nodes
done	5001
1	692
0	210

prune857.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
9×	`add-sqr-sqrt`
7×	`pow1` `add-cube-cbrt`
6×	`add-log-exp`
5×	`add-cbrt-cube` `associate-r` `add-exp-log`
4×	`distribute-lft-out`
3×	`expm1-log1p-u` `associate-+r+` `log-prod` `fma-def` `associate-l` `log1p-expm1-u`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate--l+` `associate-*r/` `log-pow` `flip-+`
1×	`+-commutative` `sum-log` `sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `unswap-sqr`

Counts

3 → 65

Calls

3 calls:

5.0ms	(+ 1.0 (log z))
12.0ms	(- (* y (+ 1.0 (log z))) (* z y))
23.0ms	(* y (+ 1.0 (log z)))

series415.0ms

Counts

3 → 9

Calls

3 calls:

203.0ms	(+ 1.0 (log z))
132.0ms	(- (* y (+ 1.0 (log z))) (* z y))
80.0ms	(* y (+ 1.0 (log z)))

simplify1.9s

Counts

74 → 74

Iterations

Iter	Nodes
done	5001
2	1536
1	335
0	119

prune441.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes212.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample2.1s

Algorithm

intervals

Results

743.0ms	9260×	body	80	valid
717.0ms	9190×	body	80	nan