Details

sample356.0ms

Algorithm

intervals

Results

161.0ms	1474×	body	80	nan
46.0ms	481×	body	80	valid

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 3 (53.0ms)

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

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.5b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite474.0ms

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:

47.0ms	(* (- t 1.0) (log a))
13.0ms	(* y (log z))
300.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
109.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series644.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* (- t 1.0) (log a))
57.0ms	(* y (log z))
297.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
200.0ms	(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	530	1495
2	2148	1219
done	5001	1198

prune623.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (/ (pow a (- 1.0)) (exp (+ (+ (* (- (log z)) y) (* (- (log a)) t)) b))))
0.3b	(* (- (log a)) t)
0.3b	(* (- (log z)) y)
0.5b	(/ (* x (/ (pow a (- 1.0)) (exp (+ (+ (* (- (log z)) y) (* (- (log a)) t)) b)))) y)

rewrite929.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
40×	`associate-r`
34×	`times-frac`
31×	`add-cube-cbrt` `*-un-lft-identity`
28×	`add-exp-log`
27×	`associate-l`
22×	`add-cbrt-cube`
14×	`pow1`
13×	`unpow-prod-down`
11×	`div-exp`
10×	`prod-exp`
8×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
7×	`exp-sum`
6×	`cbrt-unprod` `unswap-sqr`
5×	`cbrt-undiv` `sqr-pow`
4×	`distribute-lft-neg-out` `log-pow` `add-log-exp`
3×	`pow-prod-down` `associate-/r` `-commutative`
2×	`pow-to-exp` `associate-+l-` `neg-mul-1` `exp-diff` `associate-*r/` `pow-exp` `associate-/r/` `div-inv`
1×	`frac-2neg` `unsub-neg` `clear-num` `associate-/l/` `associate-/l*`

Counts

4 → 139

Calls

4 calls:

516.0ms	(* x (/ (pow a (- 1.0)) (exp (+ (+ (* (- (log z)) y) (* (- (log a)) t)) b))))
13.0ms	(* (- (log a)) t)
24.0ms	(* (- (log z)) y)
364.0ms	(/ (* x (/ (pow a (- 1.0)) (exp (+ (+ (* (- (log z)) y) (* (- (log a)) t)) b)))) y)

series1.2s

Counts

4 → 12

Calls

4 calls:

454.0ms	(* x (/ (pow a (- 1.0)) (exp (+ (+ (* (- (log z)) y) (* (- (log a)) t)) b))))
89.0ms	(* (- (log a)) t)
106.0ms	(* (- (log z)) y)
537.0ms	(/ (* x (/ (pow a (- 1.0)) (exp (+ (+ (* (- (log z)) y) (* (- (log a)) t)) b)))) y)

simplify2.5s

Counts

151 → 151

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	300	2929
1	811	2845
2	4133	2322
done	5000	2294

prune1.0s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize72.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
0.7b	(/ x (/ (* (cbrt y) (cbrt y)) (/ (pow a (- 1.0)) (exp (- (- b (* (log a) t)) (* (log z) y))))))

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

589×	`times-frac`
159×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
112×	`exp-sum`
84×	`unpow-prod-down`
59×	`associate-/r*`
56×	`sub-neg` `associate--l+`
32×	`add-exp-log`
28×	`sqr-pow`
23×	`div-exp`
18×	`add-cbrt-cube`
11×	`cbrt-undiv`
9×	`cbrt-prod` `associate-/r/` `div-inv`
4×	`pow1` `exp-diff` `prod-exp` `add-log-exp`
3×	`pow1/3` `associate-/l*`
2×	`pow-to-exp` `pow-exp` `cbrt-unprod`
1×	`frac-2neg` `clear-num`

Counts

4 → 297

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
142.0ms	(/ x (/ (* (cbrt y) (cbrt y)) (/ (pow a (- 1.0)) (exp (- (- b (* (log a) t)) (* (log z) y))))))

series1.9s

Counts

4 → 12

Calls

4 calls:

281.0ms	(cbrt y)
289.0ms	(cbrt y)
283.0ms	(cbrt y)
1.1s	(/ x (/ (* (cbrt y) (cbrt y)) (/ (pow a (- 1.0)) (exp (- (- b (* (log a) t)) (* (log z) y))))))

simplify1.2s

Counts

309 → 309

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	600	10238
1	1686	9669
done	5000	8904

prune2.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* y (exp (- (- b (* (log a) t)) (* (log z) y)))) (pow a (- 1.0)))
0.3b	(* (log a) t)
0.3b	(* (log z) y)
1.5b	(/ x (/ (* y (exp (- (- b (* (log a) t)) (* (log z) y)))) (pow a (- 1.0))))

rewrite392.0ms

Algorithm

rewrite-expression-head

Rules

74×	`times-frac`
42×	`add-sqr-sqrt`
38×	`add-cube-cbrt` `*-un-lft-identity`
36×	`add-exp-log`
22×	`add-cbrt-cube`
20×	`associate-/r*`
19×	`div-exp`
18×	`unpow-prod-down`
11×	`associate-/r/`
10×	`pow1`
8×	`associate-l` `prod-exp`
7×	`cbrt-undiv`
6×	`associate-r` `div-inv` `sqr-pow`
5×	`neg-sub0` `pow-neg` `pow-sub`
4×	`pow-to-exp` `pow-exp` `cbrt-unprod` `associate-/l*` `add-log-exp`
2×	`frac-2neg` `pow-prod-down` `clear-num` `log-pow` `*-commutative` `unswap-sqr`
1×	`exp-diff` `associate-*r/` `associate-/l/`

Counts

4 → 150

Calls

4 calls:

177.0ms	(/ (* y (exp (- (- b (* (log a) t)) (* (log z) y)))) (pow a (- 1.0)))
12.0ms	(* (log a) t)
9.0ms	(* (log z) y)
188.0ms	(/ x (/ (* y (exp (- (- b (* (log a) t)) (* (log z) y)))) (pow a (- 1.0))))

series1.1s

Counts

4 → 12

Calls

4 calls:

374.0ms	(/ (* y (exp (- (- b (* (log a) t)) (* (log z) y)))) (pow a (- 1.0)))
88.0ms	(* (log a) t)
120.0ms	(* (log z) y)
518.0ms	(/ x (/ (* y (exp (- (- b (* (log a) t)) (* (log z) y)))) (pow a (- 1.0))))

simplify2.7s

Counts

162 → 162

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	305	3523
1	805	3284
2	4470	2862
done	5001	2861

prune1.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes366.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.1b and baseline of 1.4b

bsearch0.0ms

simplify19.0ms

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	21	23
1	30	23
2	42	22
3	44	22
done	44	22

end0.0ms

sample12.6s

Algorithm

intervals

Results

6.0s	45084×	body	80	nan
2.2s	15048×	body	80	valid