Details

sample466.0ms

Algorithm

intervals

Results

205.0ms	1395×	body	80	nan
64.0ms	479×	body	80	valid

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	17	18
1	32	18
2	65	18
3	180	16
4	559	16
5	3064	16
done	5001	16

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.8b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite420.0ms

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:

24.0ms	(* (- t 1.0) (log a))
11.0ms	(* y (log z))
105.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
277.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series592.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (- t 1.0) (log a))
53.0ms	(* y (log z))
197.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
276.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.1s

Counts

107 → 107

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	231	1531
1	530	1495
2	2150	1215
done	5000	1196

prune624.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (pow a (- 1.0)) (pow (/ 1 z) y))
0.0b	(* x (/ (/ (pow a (- 1.0)) (pow (/ 1 z) y)) (exp (+ (* (- (log a)) t) b))))
0.2b	(* (- (log a)) t)
1.8b	(/ (* x (/ (/ (pow a (- 1.0)) (pow (/ 1 z) y)) (exp (+ (* (- (log a)) t) b)))) y)

rewrite761.0ms

Algorithm

rewrite-expression-head

Rules

1451×	`times-frac`
740×	`unpow-prod-down`
661×	`add-sqr-sqrt`
602×	`*-un-lft-identity`
599×	`add-cube-cbrt`
499×	`associate-r`
162×	`add-exp-log`
131×	`div-exp`
130×	`sqr-pow`
123×	`exp-sum`
54×	`pow-exp`
43×	`div-inv`
41×	`prod-exp`
31×	`add-cbrt-cube`
27×	`pow-to-exp`
20×	`associate-/r*`
18×	`unswap-sqr`
15×	`associate-l`
11×	`cbrt-undiv`
10×	`pow1`
9×	`rec-exp` `1-exp`
8×	`associate-/l*`
7×	`cbrt-unprod`
4×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `add-log-exp`
3×	`associate-/l/`
2×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `log-pow` `-commutative`
1×	`distribute-lft-neg-out` `neg-sub0` `pow-neg` `neg-mul-1` `pow-sub`

Counts

4 → 794

Calls

4 calls:

35.0ms	(/ (pow a (- 1.0)) (pow (/ 1 z) y))
445.0ms	(* x (/ (/ (pow a (- 1.0)) (pow (/ 1 z) y)) (exp (+ (* (- (log a)) t) b))))
13.0ms	(* (- (log a)) t)
150.0ms	(/ (* x (/ (/ (pow a (- 1.0)) (pow (/ 1 z) y)) (exp (+ (* (- (log a)) t) b)))) y)

series1.4s

Counts

4 → 12

Calls

4 calls:

251.0ms	(/ (pow a (- 1.0)) (pow (/ 1 z) y))
503.0ms	(* x (/ (/ (pow a (- 1.0)) (pow (/ 1 z) y)) (exp (+ (* (- (log a)) t) b))))
92.0ms	(* (- (log a)) t)
586.0ms	(/ (* x (/ (/ (pow a (- 1.0)) (pow (/ 1 z) y)) (exp (+ (* (- (log a)) t) b)))) y)

simplify3.7s

Counts

806 → 806

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	1470	20125
1	4445	17874
done	5000	17327

prune4.7s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (pow a (- 1.0)) (pow (/ 1 z) y))
0.1b	(/ (/ (/ (pow a (- 1.0)) (pow (/ 1 z) y)) (exp (+ (* (- (log a)) t) b))) y)
0.2b	(* (- (log a)) t)
1.0b	(* x (/ (/ (/ (pow a (- 1.0)) (pow (/ 1 z) y)) (exp (+ (* (- (log a)) t) b))) y))

rewrite2.7s

Algorithm

rewrite-expression-head

Rules

11761×	`times-frac`
4600×	`add-sqr-sqrt`
4522×	`*-un-lft-identity`
4519×	`add-cube-cbrt`
4148×	`unpow-prod-down`
1495×	`associate-r`
861×	`exp-sum`
706×	`sqr-pow`
503×	`associate-/l*`
242×	`div-inv`
162×	`add-exp-log`
150×	`div-exp`
54×	`pow-exp`
31×	`add-cbrt-cube`
27×	`pow-to-exp`
22×	`prod-exp`
20×	`associate-/r*`
19×	`unswap-sqr`
15×	`associate-l`
13×	`cbrt-undiv`
10×	`pow1`
9×	`rec-exp` `1-exp`
5×	`cbrt-unprod`
4×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `add-log-exp`
3×	`associate-/l/`
2×	`frac-2neg` `pow-prod-down` `clear-num` `log-pow` `*-commutative`
1×	`distribute-lft-neg-out` `neg-sub0` `pow-neg` `neg-mul-1` `associate-*r/` `pow-sub`

Counts

4 → 3771

Calls

4 calls:

22.0ms	(/ (pow a (- 1.0)) (pow (/ 1 z) y))
304.0ms	(/ (/ (/ (pow a (- 1.0)) (pow (/ 1 z) y)) (exp (+ (* (- (log a)) t) b))) y)
33.0ms	(* (- (log a)) t)
1.1s	(* x (/ (/ (/ (pow a (- 1.0)) (pow (/ 1 z) y)) (exp (+ (* (- (log a)) t) b))) y))

series1.3s

Counts

4 → 12

Calls

4 calls:

207.0ms	(/ (pow a (- 1.0)) (pow (/ 1 z) y))
453.0ms	(/ (/ (/ (pow a (- 1.0)) (pow (/ 1 z) y)) (exp (+ (* (- (log a)) t) b))) y)
71.0ms	(* (- (log a)) t)
574.0ms	(* x (/ (/ (/ (pow a (- 1.0)) (pow (/ 1 z) y)) (exp (+ (* (- (log a)) t) b))) y))

simplify2.6s

Counts

3783 → 3783

Iterations

Useful iterations: 0 (594.0ms)

Iter	Nodes	Cost
0	5519	136075
done	5519	136075

prune34.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- (log a)) t) b)
0.0b	(exp (+ (* (- (log a)) t) b))
0.2b	(* (- (log a)) t)
1.2b	(* (/ x (* (* y (pow (/ 1 z) y)) (exp (+ (* (- (log a)) t) b)))) (pow (/ 1 (pow a 1.0)) 1.0))

rewrite612.0ms

Algorithm

rewrite-expression-head

Rules

381×	`add-exp-log`
265×	`prod-exp`
174×	`div-exp`
165×	`pow-exp`
48×	`pow-to-exp`
46×	`add-sqr-sqrt`
43×	`unpow-prod-down`
39×	`rec-exp` `1-exp`
32×	`associate-r`
30×	`times-frac`
29×	`*-un-lft-identity`
26×	`add-cube-cbrt`
20×	`add-cbrt-cube`
19×	`associate-l`
10×	`unswap-sqr`
9×	`add-log-exp`
8×	`pow1` `cbrt-unprod`
7×	`sqr-pow`
4×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
3×	`cbrt-undiv` `exp-prod`
2×	`sum-log` `log-pow` `*-commutative` `div-inv` `rem-exp-log`
1×	`+-commutative` `distribute-lft-neg-out` `neg-mul-1` `flip3-+` `exp-sum` `pow-prod-down` `associate-*l/` `flip-+`

Counts

4 → 218

Calls

4 calls:

11.0ms	(+ (* (- (log a)) t) b)
36.0ms	(exp (+ (* (- (log a)) t) b))
20.0ms	(* (- (log a)) t)
521.0ms	(* (/ x (* (* y (pow (/ 1 z) y)) (exp (+ (* (- (log a)) t) b)))) (pow (/ 1 (pow a 1.0)) 1.0))

series698.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(+ (* (- (log a)) t) b)
62.0ms	(exp (+ (* (- (log a)) t) b))
66.0ms	(* (- (log a)) t)
470.0ms	(* (/ x (* (* y (pow (/ 1 z) y)) (exp (+ (* (- (log a)) t) b)))) (pow (/ 1 (pow a 1.0)) 1.0))

simplify614.0ms

Counts

230 → 230

Iterations

Useful iterations: done (596.0ms)

Iter	Nodes	Cost
0	393	5864
1	1122	5509
done	5000	5246

prune838.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes629.0ms

Accuracy

-3.3% (1.9b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 1.9b

bsearch1.0ms

simplify14.0ms

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	36	77
1	50	60
2	54	60
3	55	60
done	55	60

end0.0ms

sample13.5s

Algorithm

intervals

Results

6.8s	44556×	body	80	nan
2.1s	15105×	body	80	valid