Details

sample170.0ms

Algorithm

intervals

Results

71.0ms	1413×	body	80	nan
30.0ms	474×	body	80	valid

simplify727.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (15.0ms)

Iter	Nodes	Cost
0	17	18
1	32	18
2	64	18
3	157	16
4	469	16
5	1875	16
done	5001	16

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
1.4b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.4b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

11.0ms	(* (- t 1.0) (log a))
4.0ms	(* y (log z))
31.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
77.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series405.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (- t 1.0) (log a))
36.0ms	(* y (log z))
126.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
187.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify518.0ms

Counts

107 → 107

Iterations

Useful iterations: done (515.0ms)

Iter	Nodes	Cost
0	231	1531
1	494	1495
2	1451	1213
done	5001	1184

prune381.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (* (pow z y) (/ (pow a (- t 1.0)) (exp b))))
0.1b	(pow a (- t 1.0))
1.0b	(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))
1.4b	(/ (* x (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))) y)

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-exp-log`
62×	`prod-exp`
55×	`add-sqr-sqrt`
41×	`div-exp`
39×	`times-frac`
32×	`associate-r` `add-cbrt-cube`
29×	`*-un-lft-identity`
27×	`add-cube-cbrt`
22×	`pow-to-exp` `unpow-prod-down` `pow-exp`
12×	`cbrt-unprod` `unswap-sqr` `sqr-pow`
10×	`associate-l`
8×	`unpow-prod-up`
7×	`pow1` `cbrt-undiv`
5×	`pow-unpow` `associate-*r/`
4×	`sub-neg` `add-log-exp`
3×	`associate-/r*`
2×	`*-commutative` `div-inv`
1×	`pow-pow` `frac-2neg` `pow-prod-down` `clear-num` `associate-/l/` `associate-/l*` `distribute-lft-out--` `pow-sub` `difference-of-squares`

Counts

4 → 161

Calls

4 calls:

21.0ms	(* x (* (pow z y) (/ (pow a (- t 1.0)) (exp b))))
3.0ms	(pow a (- t 1.0))
20.0ms	(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))
27.0ms	(/ (* x (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))) y)

series649.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(* x (* (pow z y) (/ (pow a (- t 1.0)) (exp b))))
62.0ms	(pow a (- t 1.0))
168.0ms	(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))
219.0ms	(/ (* x (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))) y)

simplify979.0ms

Counts

173 → 173

Iterations

Useful iterations: done (975.0ms)

Iter	Nodes	Cost
0	296	3164
1	805	3005
2	3044	2611
done	5001	2605

prune507.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (pow a t) (pow a (- 1.0)))
0.1b	(* x (* (pow z y) (/ (* (pow a t) (pow a (- 1.0))) (exp b))))
1.0b	(* (pow z y) (/ (* (pow a t) (pow a (- 1.0))) (exp b)))
1.4b	(/ (* x (* (pow z y) (/ (* (pow a t) (pow a (- 1.0))) (exp b)))) y)

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

314×	`add-exp-log`
257×	`prod-exp`
125×	`div-exp`
93×	`pow-to-exp` `pow-exp`
49×	`add-cbrt-cube`
32×	`add-sqr-sqrt`
21×	`cbrt-unprod`
17×	`associate-l`
16×	`unpow-prod-down`
15×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
12×	`unswap-sqr`
11×	`cbrt-undiv`
10×	`sqr-pow`
7×	`associate-*r/`
6×	`pow1` `times-frac`
4×	`add-log-exp`
3×	`associate-/r` `-commutative`
2×	`pow-neg` `div-inv`
1×	`neg-sub0` `frac-2neg` `pow-prod-down` `clear-num` `un-div-inv` `pow-prod-up` `associate-/l/` `associate-/l*` `pow-sub`

Counts

4 → 217

Calls

4 calls:

8.0ms	(* (pow a t) (pow a (- 1.0)))
36.0ms	(* x (* (pow z y) (/ (* (pow a t) (pow a (- 1.0))) (exp b))))
16.0ms	(* (pow z y) (/ (* (pow a t) (pow a (- 1.0))) (exp b)))
35.0ms	(/ (* x (* (pow z y) (/ (* (pow a t) (pow a (- 1.0))) (exp b)))) y)

series1.1s

Counts

4 → 12

Calls

4 calls:

140.0ms	(* (pow a t) (pow a (- 1.0)))
349.0ms	(* x (* (pow z y) (/ (* (pow a t) (pow a (- 1.0))) (exp b))))
293.0ms	(* (pow z y) (/ (* (pow a t) (pow a (- 1.0))) (exp b)))
357.0ms	(/ (* x (* (pow z y) (/ (* (pow a t) (pow a (- 1.0))) (exp b)))) y)

simplify1.2s

Counts

229 → 229

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	309	4758
1	858	4205
2	3181	3585
done	5000	3582

prune497.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (- (log z)) y)
1.3b	(* (* (exp (- (- (- (* (- (log z)) y) (log (pow a t)))) b)) (/ x y)) (pow (/ 1 (pow a 1.0)) 1.0))
3.4b	(log (pow a t))
8.1b	(* (exp (- (- (- (* (- (log z)) y) (log (pow a t)))) b)) (/ x y))

rewrite1.7s

Algorithm

rewrite-expression-head

Rules

92×	`add-exp-log`
63×	`prod-exp`
45×	`associate-r`
40×	`add-sqr-sqrt` `pow-exp`
37×	`unpow-prod-down`
33×	`add-cube-cbrt` `*-un-lft-identity`
31×	`times-frac` `div-exp`
20×	`associate-l` `add-cbrt-cube`
13×	`pow-to-exp`
10×	`pow1`
9×	`rec-exp` `1-exp`
8×	`cbrt-unprod`
7×	`log-prod`
5×	`associate-*l/` `sqr-pow`
4×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `exp-diff` `exp-sum` `add-log-exp`
3×	`rem-log-exp` `log-pow` `*-commutative` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `sub-neg` `distribute-neg-in` `associate-*r/` `pow-prod-down` `associate--l+` `div-inv`
1×	`distribute-lft-neg-out` `neg-mul-1`

Counts

4 → 164

Calls

4 calls:

6.0ms	(* (- (log z)) y)
1.3s	(* (* (exp (- (- (- (* (- (log z)) y) (log (pow a t)))) b)) (/ x y)) (pow (/ 1 (pow a 1.0)) 1.0))
1.0ms	(log (pow a t))
408.0ms	(* (exp (- (- (- (* (- (log z)) y) (log (pow a t)))) b)) (/ x y))

series797.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (- (log z)) y)
473.0ms	(* (* (exp (- (- (- (* (- (log z)) y) (log (pow a t)))) b)) (/ x y)) (pow (/ 1 (pow a 1.0)) 1.0))
67.0ms	(log (pow a t))
194.0ms	(* (exp (- (- (- (* (- (log z)) y) (log (pow a t)))) b)) (/ x y))

simplify1.1s

Counts

176 → 176

Iterations

Useful iterations: 2 (553.0ms)

Iter	Nodes	Cost
0	350	3791
1	901	3576
2	2730	2962
done	5001	2962

prune644.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes590.0ms

Accuracy

-23.9% (2.3b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 1.9b

bsearch131.0ms

Steps

Iters	Range		Point
6	1.8167280670675926e-79	1.080853213011946e-78	2.2925344874563707e-79
1	2.6135170806969836e-294	2.786850100724121e-294	2.7435168457173364e-294

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	37	70
1	49	53
done	49	53

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.3s	45221×	body	80	nan
936.0ms	15222×	body	80	valid