Details

sample772.0ms

Algorithm

intervals

Results

467.0ms	365×	body	80	valid
131.0ms	1165×	body	80	nan
7.0ms	18×	body	320	valid
6.0ms	9×	body	640	valid
4.0ms	2×	body	1280	valid
2.0ms	11×	body	160	valid

simplify1.7s

Counts

1 → 1

Iterations

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.2b	(* y (- (log z) t))
0.5b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
5.3b	(log (- 1.0 z))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

11.0ms	(- (log z) t)
39.0ms	(* y (- (log z) t))
24.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
8.0ms	(log (- 1.0 z))

series534.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(- (log z) t)
105.0ms	(* y (- (log z) t))
255.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
57.0ms	(log (- 1.0 z))

simplify1.7s

Counts

118 → 118

Iterations

Iter	Nodes
done	5000
2	2201
1	617
0	241

prune1.1s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (- (log z) t))
0.2b	(* (/ 1.0 z) (/ 1.0 z))
0.3b	(/ 1/2 (* (/ 1.0 z) (/ 1.0 z)))
0.5b	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (/ 1/2 (* (/ 1.0 z) (/ 1.0 z)))) b)))

rewrite209.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
43×	`times-frac`
42×	`associate--l+` `add-cube-cbrt`
36×	`add-cbrt-cube` `add-exp-log`
19×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
18×	`associate-+r+` `log-prod`
16×	`associate-l`
14×	`pow1`
13×	`cbrt-undiv` `swap-sqr` `div-exp`
12×	`associate-*r/`
10×	`associate-+l+` `sub-neg`
9×	`prod-exp` `cbrt-unprod`
6×	`add-log-exp`
5×	`flip3--` `div-inv` `flip--` `unswap-sqr`
4×	`frac-add`
3×	`associate-/r/` `associate-/l*`
2×	`frac-times` `pow-prod-down` `associate-l/` `-commutative` `distribute-lft-out--`
1×	`pow2` `+-commutative` `clear-num` `associate-/r*` `sum-log` `frac-2neg` `flip3-+` `pow-plus` `pow-sqr` `log-pow` `pow-prod-up` `flip-+` `difference-of-squares`

Counts

4 → 173

Calls

4 calls:

29.0ms	(* y (- (log z) t))
19.0ms	(* (/ 1.0 z) (/ 1.0 z))
23.0ms	(/ 1/2 (* (/ 1.0 z) (/ 1.0 z)))
122.0ms	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (/ 1/2 (* (/ 1.0 z) (/ 1.0 z)))) b)))

series503.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(* y (- (log z) t))
50.0ms	(* (/ 1.0 z) (/ 1.0 z))
54.0ms	(/ 1/2 (* (/ 1.0 z) (/ 1.0 z)))
285.0ms	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (/ 1/2 (* (/ 1.0 z) (/ 1.0 z)))) b)))

simplify1.3s

Counts

185 → 185

Iterations

Iter	Nodes
done	5000
1	1002
0	329

prune1.8s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (+ (* (log 1.0) a) (* y (- (log z) t))))
0.0b	(- (log z) t)
0.0b	(* x (exp (+ (* (log 1.0) a) (* y (- (log z) t)))))
0.2b	(* y (- (log z) t))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

33.0ms	(exp (+ (* (log 1.0) a) (* y (- (log z) t))))
13.0ms	(- (log z) t)
66.0ms	(* x (exp (+ (* (log 1.0) a) (* y (- (log z) t)))))
40.0ms	(* y (- (log z) t))

series542.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(exp (+ (* (log 1.0) a) (* y (- (log z) t))))
85.0ms	(- (log z) t)
254.0ms	(* x (exp (+ (* (log 1.0) a) (* y (- (log z) t)))))
97.0ms	(* y (- (log z) t))

simplify1.2s

Counts

95 → 95

Iterations

Iter	Nodes
done	5000
2	1132
1	351
0	156

prune822.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow E (+ (* (log 1.0) a) (* y (- (log z) t))))
0.0b	(- (log z) t)
0.0b	(* x (pow E (+ (* (log 1.0) a) (* y (- (log z) t)))))
0.2b	(* y (- (log z) t))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
14×	`associate-r` `add-cube-cbrt`
13×	`add-exp-log`
9×	`pow1` `log-prod` `associate--l+`
8×	`add-cbrt-cube`
7×	`unpow-prod-down`
6×	`associate-l`
5×	`distribute-rgt-in` `distribute-lft-in` `prod-exp` `add-log-exp`
4×	`pow-exp` `distribute-lft-out--` `unswap-sqr`
3×	`pow-unpow` `sub-neg` `sqr-pow`
2×	`pow-to-exp` `unpow-prod-up` `e-exp-1` `flip3--` `associate-r/` `log-pow` `-commutative` `cbrt-unprod` `flip--` `difference-of-squares`
1×	`pow-pow` `diff-log` `pow-prod-down`

Counts

4 → 97

Calls

4 calls:

8.0ms	(pow E (+ (* (log 1.0) a) (* y (- (log z) t))))
6.0ms	(- (log z) t)
30.0ms	(* x (pow E (+ (* (log 1.0) a) (* y (- (log z) t)))))
42.0ms	(* y (- (log z) t))

series669.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(pow E (+ (* (log 1.0) a) (* y (- (log z) t))))
119.0ms	(- (log z) t)
307.0ms	(* x (pow E (+ (* (log 1.0) a) (* y (- (log z) t)))))
96.0ms	(* y (- (log z) t))

simplify1.3s

Counts

109 → 109

Iterations

Iter	Nodes
done	5000
2	1493
1	436
0	180

prune694.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes622.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	28
1	28
0	23

end0.0ms

sample13.5s

Algorithm

intervals

Results

6.2s	41264×	body	80	nan
2.3s	12462×	body	80	valid
221.0ms	351×	body	640	valid
132.0ms	381×	body	320	valid
101.0ms	65×	body	1280	valid
82.0ms	265×	body	160	valid