Details

sample430.0ms

Algorithm

intervals

Results

169.0ms	1465×	body	80	nan
126.0ms	473×	body	80	valid

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	17	18
1	32	18
2	65	18
3	179	16
4	487	16
5	1671	16
done	5001	16

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.7b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.7b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite425.0ms

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:

26.0ms	(* (- t 1.0) (log a))
18.0ms	(* y (log z))
274.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
104.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series519.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* (- t 1.0) (log a))
44.0ms	(* y (log z))
220.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
170.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.2s

Counts

107 → 107

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	231	1531
1	493	1495
2	1465	1209
done	5000	1155

prune652.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow a (- t 1.0))
0.2b	(/ (* (pow a (- t 1.0)) (pow z y)) (exp b))
0.5b	(* (pow a (- t 1.0)) (pow z y))
0.8b	(/ x (/ y (/ (* (pow a (- t 1.0)) (pow z y)) (exp b))))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

201×	`times-frac`
109×	`add-sqr-sqrt`
97×	`*-un-lft-identity`
95×	`add-cube-cbrt`
68×	`add-exp-log`
43×	`div-exp`
29×	`associate-/r*`
27×	`prod-exp`
25×	`add-cbrt-cube`
19×	`pow-to-exp` `pow-exp`
18×	`div-inv`
15×	`unpow-prod-down`
11×	`cbrt-undiv`
9×	`associate-l` `unswap-sqr` `sqr-pow`
7×	`associate-r`
5×	`pow1` `pow-unpow` `associate-/r/`
4×	`unpow-prod-up` `associate-/l*` `add-log-exp`
3×	`cbrt-unprod` `pow-sub`
2×	`sub-neg` `frac-2neg` `associate-*l/` `clear-num`
1×	`pow-pow` `*-commutative` `associate-/l/` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 230

Calls

4 calls:

12.0ms	(pow a (- t 1.0))
34.0ms	(/ (* (pow a (- t 1.0)) (pow z y)) (exp b))
29.0ms	(* (pow a (- t 1.0)) (pow z y))
28.0ms	(/ x (/ y (/ (* (pow a (- t 1.0)) (pow z y)) (exp b))))

series944.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(pow a (- t 1.0))
274.0ms	(/ (* (pow a (- t 1.0)) (pow z y)) (exp b))
216.0ms	(* (pow a (- t 1.0)) (pow z y))
352.0ms	(/ x (/ y (/ (* (pow a (- t 1.0)) (pow z y)) (exp b))))

simplify2.8s

Counts

242 → 242

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	460	5216
1	1096	4937
2	4184	4617
done	5001	4584

prune1.4s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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:

23.0ms	(* (cbrt y) (cbrt y))
2.0ms	(cbrt y)
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.3s

Counts

4 → 12

Calls

4 calls:

383.0ms	(* (cbrt y) (cbrt y))
289.0ms	(cbrt y)
334.0ms	(cbrt y)
275.0ms	(cbrt y)

simplify5.6s

Counts

85 → 85

Iterations

Useful iterations: done (5.6s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	319	397
3	1092	379
4	4427	374
done	5001	364

prune530.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp b) (pow a 1.0))
0.0b	(/ y (/ (* (pow a t) (pow z y)) (* (exp b) (pow a 1.0))))
0.4b	(* (pow a t) (pow z y))
0.8b	(/ x (/ y (/ (* (pow a t) (pow z y)) (* (exp b) (pow a 1.0)))))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

309×	`add-exp-log`
204×	`div-exp`
151×	`times-frac`
144×	`prod-exp`
95×	`add-sqr-sqrt`
78×	`add-cube-cbrt` `*-un-lft-identity`
75×	`pow-to-exp` `pow-exp`
51×	`add-cbrt-cube`
25×	`associate-/r*`
24×	`cbrt-undiv`
22×	`div-inv`
16×	`unpow-prod-down`
14×	`associate-r`
12×	`unswap-sqr`
10×	`associate-l` `cbrt-unprod` `sqr-pow`
6×	`associate-/r/` `associate-/l*`
4×	`pow1` `add-log-exp`
2×	`frac-2neg` `clear-num` `*-commutative`

Counts

4 → 288

Calls

4 calls:

18.0ms	(* (exp b) (pow a 1.0))
28.0ms	(/ y (/ (* (pow a t) (pow z y)) (* (exp b) (pow a 1.0))))
19.0ms	(* (pow a t) (pow z y))
62.0ms	(/ x (/ y (/ (* (pow a t) (pow z y)) (* (exp b) (pow a 1.0)))))

series1.3s

Counts

4 → 12

Calls

4 calls:

200.0ms	(* (exp b) (pow a 1.0))
455.0ms	(/ y (/ (* (pow a t) (pow z y)) (* (exp b) (pow a 1.0))))
159.0ms	(* (pow a t) (pow z y))
501.0ms	(/ x (/ y (/ (* (pow a t) (pow z y)) (* (exp b) (pow a 1.0)))))

simplify3.1s

Counts

300 → 300

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	458	6857
1	1163	6503
2	4589	5937
done	5001	5887

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes574.0ms

Accuracy

72.9% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.1b

bsearch3.0ms

simplify31.0ms

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	38	81
1	58	64
2	65	62
3	71	62
done	71	62

end0.0ms

sample13.1s

Algorithm

intervals

Results

7.5s	46043×	body	80	nan
2.2s	15319×	body	80	valid