Details

sample76.0ms

Algorithm

intervals

Results

20.0ms	288×	body	80	valid
16.0ms	307×	body	80	nan

simplify2.8s

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

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)))

rewrite104.0ms

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:

17.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
23.0ms	(+ (- 1.0 z) (log z))
63.0ms	(* y (+ (- 1.0 z) (log z)))

series331.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
180.0ms	(+ (- 1.0 z) (log z))
80.0ms	(* y (+ (- 1.0 z) (log z)))

simplify1.2s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	1478
1	362
0	126

prune396.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite93.0ms

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:

25.0ms	(* (- 1.0 z) y)
38.0ms	(+ (* x 0.5) (+ (* (- 1.0 z) y) (* (log z) y)))
18.0ms	(+ (* (- 1.0 z) y) (* (log z) y))
9.0ms	(* (log z) y)

series308.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (- 1.0 z) y)
77.0ms	(+ (* x 0.5) (+ (* (- 1.0 z) y) (* (log z) y)))
122.0ms	(+ (* (- 1.0 z) y) (* (log z) y))
76.0ms	(* (log z) y)

simplify1.3s

Counts

78 → 78

Iterations

Iter	Nodes
done	5001
2	1328
1	391
0	139

prune436.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))
0.5b	(cbrt (+ (- 1.0 z) (log z)))
0.5b	(cbrt (+ (- 1.0 z) (log z)))
0.5b	(cbrt (+ (- 1.0 z) (log z)))

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

143×	`*-un-lft-identity`
93×	`cbrt-prod`
60×	`distribute-lft-out`
41×	`pow1`
30×	`swap-sqr` `log-pow` `distribute-lft-out--`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
10×	`associate-r` `associate-l`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 131

Calls

4 calls:

122.0ms	(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))
14.0ms	(cbrt (+ (- 1.0 z) (log z)))
14.0ms	(cbrt (+ (- 1.0 z) (log z)))
24.0ms	(cbrt (+ (- 1.0 z) (log z)))

series338.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))
79.0ms	(cbrt (+ (- 1.0 z) (log z)))
82.0ms	(cbrt (+ (- 1.0 z) (log z)))
76.0ms	(cbrt (+ (- 1.0 z) (log z)))

simplify2.6s

Counts

143 → 143

Iterations

Iter	Nodes
done	5000
2	2079
1	651
0	237

prune675.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize28.0ms

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)))
2.3b	(* y (* (+ (- 1.0 z) (log z)) (- (- 1.0 z) (log z))))
9.6b	(/ (* y (* (+ (- 1.0 z) (log z)) (- (- 1.0 z) (log z)))) (- (- 1.0 z) (log z)))

rewrite509.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 150

Calls

4 calls:

24.0ms	(+ (- 1.0 z) (log z))
180.0ms	(* (+ (- 1.0 z) (log z)) (- (- 1.0 z) (log z)))
144.0ms	(* y (* (+ (- 1.0 z) (log z)) (- (- 1.0 z) (log z))))
155.0ms	(/ (* y (* (+ (- 1.0 z) (log z)) (- (- 1.0 z) (log z)))) (- (- 1.0 z) (log z)))

series575.0ms

Counts

4 → 12

Calls

4 calls:

266.0ms	(+ (- 1.0 z) (log z))
64.0ms	(* (+ (- 1.0 z) (log z)) (- (- 1.0 z) (log z)))
145.0ms	(* y (* (+ (- 1.0 z) (log z)) (- (- 1.0 z) (log z))))
100.0ms	(/ (* y (* (+ (- 1.0 z) (log z)) (- (- 1.0 z) (log z)))) (- (- 1.0 z) (log z)))

simplify2.1s

Counts

162 → 162

Iterations

Iter	Nodes
done	5015
2	3722
1	752
0	242

prune922.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes618.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.1s	9163×	body	80	valid
713.0ms	9124×	body	80	nan