Details

sample322.0ms

Algorithm

intervals

Results

116.0ms	1237×	body	80	nan
87.0ms	390×	body	80	valid
6.0ms	13×	body	640	valid
5.0ms	15×	body	320	valid
2.0ms	3×	body	1280	valid
2.0ms	11×	body	160	valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	1299
4	353
3	127
2	58
1	30
0	17

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
0.1b	(* y (- (log z) t))
0.3b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
5.6b	(log (- 1.0 z))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

27×	`log-prod`
24×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
22×	`associate--l+`
17×	`distribute-rgt-in` `distribute-lft-in`
14×	`associate-+r+` `add-cube-cbrt`
10×	`associate-+l+` `associate-*r/`
9×	`add-log-exp`
8×	`pow1`
7×	`add-exp-log`
6×	`sub-neg` `flip3--` `add-cbrt-cube` `associate-r` `flip--`
5×	`distribute-lft-out--`
4×	`frac-add` `difference-of-squares`
3×	`exp-prod` `associate-l`
2×	`log-div` `sum-log` `log-pow` `rem-exp-log`
1×	`+-commutative` `flip3-+` `rem-log-exp` `exp-sum` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 101

Calls

4 calls:

34.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
21.0ms	(* y (- (log z) t))
27.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
4.0ms	(log (- 1.0 z))

series580.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
113.0ms	(* y (- (log z) t))
225.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
46.0ms	(log (- 1.0 z))

simplify1.3s

Counts

113 → 113

Iterations

Iter	Nodes
done	5001
2	2326
1	658
0	254

prune854.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b)))))
0.0b	(exp (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b))))
0.1b	(* y (- (log z) t))
0.3b	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b)))

rewrite742.0ms

Algorithm

rewrite-expression-head

Rules

42×	`associate--l+`
21×	`add-sqr-sqrt`
19×	`distribute-rgt-in` `distribute-lft-in`
18×	`associate-+r+` `log-prod` `*-un-lft-identity`
15×	`add-cube-cbrt`
10×	`associate-+l+` `sub-neg` `associate-r` `associate-*r/`
9×	`pow1` `add-log-exp`
8×	`add-cbrt-cube`
7×	`add-exp-log`
6×	`associate-l`
5×	`flip3--` `flip--`
4×	`frac-add`
3×	`exp-prod`
2×	`sum-log` `exp-sum` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr` `rem-exp-log`
1×	`+-commutative` `flip3-+` `log-pow` `flip-+` `difference-of-squares`

Counts

4 → 108

Calls

4 calls:

346.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b)))))
221.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b))))
40.0ms	(* y (- (log z) t))
129.0ms	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b)))

series967.0ms

Counts

4 → 12

Calls

4 calls:

329.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b)))))
213.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b))))
95.0ms	(* y (- (log z) t))
330.0ms	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b)))

simplify2.0s

Counts

120 → 120

Iterations

Iter	Nodes
done	5001
2	2377
1	628
0	238

prune1.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize91.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

9.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.4s

Counts

4 → 12

Calls

4 calls:

301.0ms	(* (cbrt z) (cbrt z))
617.0ms	(cbrt z)
211.0ms	(cbrt z)
233.0ms	(cbrt z)

simplify1.3s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	727
1	138
0	61

prune835.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize111.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b)))
0.3b	(cbrt (exp (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b)))))
0.3b	(cbrt (exp (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b)))))
0.3b	(cbrt (exp (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b)))))

rewrite456.0ms

Algorithm

rewrite-expression-head

Rules

36×	`associate--l+`
18×	`associate-+r+`
14×	`distribute-rgt-in` `distribute-lft-in`
12×	`cbrt-prod` `log-prod`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
10×	`associate-+l+`
8×	`sub-neg` `associate-*r/`
6×	`add-log-exp`
4×	`pow1` `flip3--` `add-cbrt-cube` `frac-add` `add-exp-log` `flip--`
3×	`pow1/3` `exp-sum`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

4 → 79

Calls

4 calls:

155.0ms	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b)))
106.0ms	(cbrt (exp (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b)))))
100.0ms	(cbrt (exp (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b)))))
91.0ms	(cbrt (exp (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b)))))

series1.3s

Counts

4 → 12

Calls

4 calls:

320.0ms	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b)))
374.0ms	(cbrt (exp (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b)))))
268.0ms	(cbrt (exp (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b)))))
320.0ms	(cbrt (exp (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b)))))

simplify1.7s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
2	1644
1	457
0	171

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes823.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	36
1	36
0	28

end0.0ms

sample11.9s

Algorithm

intervals

Results

6.2s	40502×	body	80	nan
2.2s	12397×	body	80	valid
201.0ms	334×	body	640	valid
156.0ms	432×	body	320	valid
81.0ms	71×	body	1280	valid
65.0ms	257×	body	160	valid