Details

sample327.0ms

Algorithm

intervals

Results

130.0ms	1465×	body	80	nan
62.0ms	473×	body	80	valid

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 3 (24.0ms)

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

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

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))

rewrite376.0ms

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:

37.0ms	(* (- t 1.0) (log a))
14.0ms	(* y (log z))
233.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
88.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series500.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (- t 1.0) (log a))
43.0ms	(* y (log z))
228.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
163.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.1s

Counts

107 → 107

Iterations

Useful iterations: done (1.1s)

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

prune446.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

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))))

rewrite116.0ms

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:

6.0ms	(pow a (- t 1.0))
20.0ms	(/ (* (pow a (- t 1.0)) (pow z y)) (exp b))
33.0ms	(* (pow a (- t 1.0)) (pow z y))
41.0ms	(/ x (/ y (/ (* (pow a (- t 1.0)) (pow z y)) (exp b))))

series681.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(pow a (- t 1.0))
238.0ms	(/ (* (pow a (- t 1.0)) (pow z y)) (exp b))
135.0ms	(* (pow a (- t 1.0)) (pow z y))
240.0ms	(/ x (/ y (/ (* (pow a (- t 1.0)) (pow z y)) (exp b))))

simplify2.4s

Counts

242 → 242

Iterations

Useful iterations: done (2.4s)

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

prune1.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize27.0ms

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)

rewrite35.0ms

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:

18.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.4s

Counts

4 → 12

Calls

4 calls:

302.0ms	(* (cbrt y) (cbrt y))
531.0ms	(cbrt y)
267.0ms	(cbrt y)
264.0ms	(cbrt y)

simplify4.4s

Counts

85 → 85

Iterations

Useful iterations: done (4.4s)

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

prune523.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize17.0ms

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)))))

rewrite123.0ms

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:

22.0ms	(* (exp b) (pow a 1.0))
26.0ms	(/ y (/ (* (pow a t) (pow z y)) (* (exp b) (pow a 1.0))))
18.0ms	(* (pow a t) (pow z y))
38.0ms	(/ x (/ y (/ (* (pow a t) (pow z y)) (* (exp b) (pow a 1.0)))))

series1.3s

Counts

4 → 12

Calls

4 calls:

218.0ms	(* (exp b) (pow a 1.0))
492.0ms	(/ y (/ (* (pow a t) (pow z y)) (* (exp b) (pow a 1.0))))
142.0ms	(* (pow a t) (pow z y))
429.0ms	(/ x (/ y (/ (* (pow a t) (pow z y)) (* (exp b) (pow a 1.0)))))

simplify2.7s

Counts

300 → 300

Iterations

Useful iterations: done (2.7s)

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

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes494.0ms

Accuracy

72.9% (0.5b remaining)

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

bsearch1.0ms

simplify14.0ms

Iterations

Useful iterations: 2 (6.0ms)

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

end0.0ms

sample14.2s

Algorithm

intervals

Results

7.0s	46043×	body	80	nan
2.4s	15319×	body	80	valid