Details

sample309.0ms

Algorithm

intervals

Results

160.0ms	1360×	body	80	nan
41.0ms	418×	body	80	valid
6.0ms	18×	body	320	valid
4.0ms	8×	body	640	valid
3.0ms	2×	body	1280	valid
1.0ms	5×	body	160	valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5004
5	1059
4	334
3	127
2	58
1	30
0	17

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
0.2b	(* y (- (log z) t))
0.5b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
4.6b	(log (- 1.0 z))

rewrite105.0ms

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:

46.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
26.0ms	(* y (- (log z) t))
26.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
4.0ms	(log (- 1.0 z))

series500.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
73.0ms	(* y (- (log z) t))
212.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
51.0ms	(log (- 1.0 z))

simplify1.6s

Counts

113 → 113

Iterations

Iter	Nodes
done	5009
2	1966
1	657
0	254

prune969.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.6b

localize73.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (- (log z) t))
0.3b	(* (/ 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)))
1.1b	(/ 1/2 (* (/ 1.0 z) (/ 1.0 z)))

rewrite215.0ms

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:

32.0ms	(* y (- (log z) t))
29.0ms	(* (/ 1.0 z) (/ 1.0 z))
126.0ms	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (/ 1/2 (* (/ 1.0 z) (/ 1.0 z)))) b)))
18.0ms	(/ 1/2 (* (/ 1.0 z) (/ 1.0 z)))

series463.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* y (- (log z) t))
31.0ms	(* (/ 1.0 z) (/ 1.0 z))
293.0ms	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (/ 1/2 (* (/ 1.0 z) (/ 1.0 z)))) b)))
39.0ms	(/ 1/2 (* (/ 1.0 z) (/ 1.0 z)))

simplify2.1s

Counts

185 → 185

Iterations

Iter	Nodes
done	5002
2	3396
1	965
0	329

prune1.7s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize186.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
4.6b	(log (- 1.0 z))
4.6b	(log (- 1.0 z))
4.6b	(log (- 1.0 z))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

31×	`log-prod`
21×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`associate--l+`
14×	`associate-+r+`
12×	`distribute-rgt-in` `distribute-lft-in`
11×	`add-cube-cbrt`
10×	`associate-+l+`
8×	`associate-*r/`
7×	`pow1` `flip3--` `add-exp-log` `flip--`
6×	`log-div` `add-log-exp`
5×	`distribute-lft-out--` `difference-of-squares`
4×	`sub-neg` `add-cbrt-cube` `frac-add`
3×	`rem-log-exp` `log-pow`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

4 → 87

Calls

4 calls:

43.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
7.0ms	(log (- 1.0 z))
7.0ms	(log (- 1.0 z))
7.0ms	(log (- 1.0 z))

series433.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
73.0ms	(log (- 1.0 z))
53.0ms	(log (- 1.0 z))
78.0ms	(log (- 1.0 z))

simplify1.7s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1586
1	495
0	188

prune1.3s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize166.0ms

Local error

Found 4 expressions with local error:

4.6b	(log (- 1.0 z))
12.2b	(cbrt (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
12.2b	(cbrt (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
12.2b	(cbrt (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

24×	`associate-*r/`
18×	`cbrt-div`
13×	`flip3--` `flip--`
12×	`frac-add`
10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`cbrt-prod`
8×	`add-cube-cbrt`
5×	`pow1` `log-prod` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `pow1/3` `flip-+`
2×	`log-div`
1×	`rem-log-exp` `log-pow` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 67

Calls

4 calls:

4.0ms	(log (- 1.0 z))
10.0ms	(cbrt (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
17.0ms	(cbrt (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
14.0ms	(cbrt (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))

series2.8s

Counts

4 → 12

Calls

4 calls:

74.0ms	(log (- 1.0 z))
931.0ms	(cbrt (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
953.0ms	(cbrt (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
886.0ms	(cbrt (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))

simplify1.9s

Counts

79 → 79

Iterations

Iter	Nodes
done	5008
2	2042
1	617
0	225

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

regimes669.0ms

Accuracy

40.6% (1.0b remaining)

Error of 1.3b against oracle of 0.3b and baseline of 2.0b

bsearch4.0ms

simplify28.0ms

Iterations

Iter	Nodes
done	66
3	66
2	65
1	59
0	40

end0.0ms

sample11.2s

Algorithm

intervals

Results

5.2s	41239×	body	80	nan
2.8s	12486×	body	80	valid
205.0ms	353×	body	640	valid
145.0ms	410×	body	320	valid
63.0ms	60×	body	1280	valid
57.0ms	269×	body	160	valid