Details

sample76.0ms

Algorithm

intervals

Results

30.0ms	286×	body	80	valid
17.0ms	292×	body	80	nan

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
14	4712
13	4355
12	3979
11	3616
10	3118
9	2180
8	1453
7	986
6	673
5	394
4	198
3	93
2	51
1	25
0	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 3 expressions with local error:

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

rewrite127.0ms

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

Counts

3 → 61

Calls

3 calls:

25.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
25.0ms	(+ (- 1.0 z) (log z))
75.0ms	(* y (+ (- 1.0 z) (log z)))

series453.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
251.0ms	(+ (- 1.0 z) (log z))
120.0ms	(* y (+ (- 1.0 z) (log z)))

simplify1.3s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	1478
1	362
0	126

prune419.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

52.0ms	(+ (* x 0.5) (+ (* (- 1.0 z) y) (* (log z) y)))
31.0ms	(* (- 1.0 z) y)
12.0ms	(+ (* (- 1.0 z) y) (* (log z) y))
7.0ms	(* (log z) y)

series348.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(+ (* x 0.5) (+ (* (- 1.0 z) y) (* (log z) y)))
42.0ms	(* (- 1.0 z) y)
130.0ms	(+ (* (- 1.0 z) y) (* (log z) y))
103.0ms	(* (log z) y)

simplify1.7s

Counts

78 → 78

Iterations

Iter	Nodes
done	5002
2	1436
1	392
0	139

prune405.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 z) (log z))
0.3b	(* (+ (- 1.0 z) (log z)) (- (- 1.0 z) (log z)))
4.4b	(* y (* (+ (- 1.0 z) (log z)) (- (- 1.0 z) (log z))))
7.1b	(/ (* y (* (+ (- 1.0 z) (log z)) (- (- 1.0 z) (log z)))) (- (- 1.0 z) (log z)))

rewrite658.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
26×	`distribute-lft-out--`
22×	`associate-*r/`
21×	`pow1`
20×	`distribute-rgt-in` `add-sqr-sqrt` `distribute-lft-in` `add-cbrt-cube` `add-exp-log`
14×	`sub-neg` `associate--l+`
12×	`frac-times`
11×	`flip3--` `flip--`
10×	`associate-l` `log-pow` `add-cube-cbrt`
9×	`flip3-+` `associate-r` `flip-+`
8×	`associate-/r*` `times-frac` `associate-/l/`
7×	`prod-exp` `cbrt-unprod` `add-log-exp`
6×	`associate-*l/`
4×	`pow-prod-down` `distribute-lft-out` `difference-of-squares`
3×	`cbrt-undiv` `log-prod` `diff-log` `div-exp` `associate--r+`
2×	`associate-/r/` `*-commutative`
1×	`associate--l-` `clear-num` `frac-2neg` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 152

Calls

4 calls:

44.0ms	(- (- 1.0 z) (log z))
169.0ms	(* (+ (- 1.0 z) (log z)) (- (- 1.0 z) (log z)))
183.0ms	(* y (* (+ (- 1.0 z) (log z)) (- (- 1.0 z) (log z))))
254.0ms	(/ (* y (* (+ (- 1.0 z) (log z)) (- (- 1.0 z) (log z)))) (- (- 1.0 z) (log z)))

series568.0ms

Counts

4 → 12

Calls

4 calls:

281.0ms	(- (- 1.0 z) (log z))
59.0ms	(* (+ (- 1.0 z) (log z)) (- (- 1.0 z) (log z)))
133.0ms	(* y (* (+ (- 1.0 z) (log z)) (- (- 1.0 z) (log z))))
95.0ms	(/ (* y (* (+ (- 1.0 z) (log z)) (- (- 1.0 z) (log z)))) (- (- 1.0 z) (log z)))

simplify2.6s

Counts

164 → 164

Iterations

Iter	Nodes
done	5007
2	4080
1	758
0	239

prune809.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 0.5) (/ y (/ 1 (+ (log z) (- 1.0 z)))))
0.0b	(+ (log z) (- 1.0 z))
0.2b	(/ 1 (+ (log z) (- 1.0 z)))
0.3b	(/ y (/ 1 (+ (log z) (- 1.0 z))))

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

225×	`*-un-lft-identity`
186×	`times-frac`
89×	`add-sqr-sqrt` `add-cube-cbrt`
68×	`distribute-lft-out`
39×	`pow1`
34×	`associate-/r*` `log-pow` `distribute-lft-out--`
17×	`add-exp-log`
11×	`add-cbrt-cube` `associate-/r/`
9×	`add-log-exp`
8×	`div-exp`
7×	`flip3-+` `flip-+`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv`
3×	`associate-+l+` `log-prod` `sum-log`
2×	`+-commutative` `rec-exp` `associate-+r+` `clear-num` `frac-2neg` `1-exp`
1×	`associate-+r-` `sub-neg` `diff-log` `pow-flip` `inv-pow`

Counts

4 → 210

Calls

4 calls:

89.0ms	(+ (* x 0.5) (/ y (/ 1 (+ (log z) (- 1.0 z)))))
21.0ms	(+ (log z) (- 1.0 z))
42.0ms	(/ 1 (+ (log z) (- 1.0 z)))
56.0ms	(/ y (/ 1 (+ (log z) (- 1.0 z))))

series489.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(+ (* x 0.5) (/ y (/ 1 (+ (log z) (- 1.0 z)))))
253.0ms	(+ (log z) (- 1.0 z))
47.0ms	(/ 1 (+ (log z) (- 1.0 z)))
120.0ms	(/ y (/ 1 (+ (log z) (- 1.0 z))))

simplify1.7s

Counts

222 → 222

Iterations

Iter	Nodes
done	5007
2	2453
1	775
0	293

prune631.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes227.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	17
1	17
0	12

end0.0ms

sample2.1s

Algorithm

intervals

Results

932.0ms	9175×	body	80	nan
634.0ms	9233×	body	80	valid