Details

sample298.0ms

Algorithm

intervals

Results

140.0ms	1413×	body	80	nan
38.0ms	465×	body	80	valid

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 3 (28.0ms)

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (log z))
0.3b	(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
1.2b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.2b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite597.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

13.0ms	(* y (log z))
316.0ms	(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
79.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
187.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series726.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* y (log z))
195.0ms	(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
193.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
279.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify2.8s

Counts

100 → 100

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	186	1711
1	403	1676
2	1118	1308
3	4880	1269
done	5001	1266

prune439.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (log z))
0.3b	(* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
1.2b	(/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
1.2b	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
24×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
14×	`associate-r`
13×	`add-cbrt-cube`
9×	`prod-exp`
8×	`pow1`
7×	`unpow-prod-down`
6×	`unpow-prod-up` `log-prod` `associate-l` `pow-exp`
5×	`pow-unpow` `div-exp`
4×	`add-log-exp` `unswap-sqr`
3×	`distribute-rgt-in` `pow-to-exp` `e-exp-1` `distribute-lft-in` `times-frac` `associate-/r*` `cbrt-unprod` `pow-sub` `sqr-pow`
2×	`cbrt-undiv` `sub-neg` `associate-r/` `associate--l+` `-commutative`
1×	`pow-pow` `frac-2neg` `pow-prod-down` `clear-num` `log-pow` `div-inv` `associate-/l/` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 104

Calls

4 calls:

9.0ms	(* y (log z))
35.0ms	(* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
25.0ms	(/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
26.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series678.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* y (log z))
225.0ms	(* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
251.0ms	(/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
144.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.2s

Counts

116 → 116

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	211	2243
1	466	2075
2	1283	1875
done	5001	1842

prune485.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (log z))
1.1b	(pow (sqrt E) (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.1b	(pow (sqrt E) (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.2b	(/ (* (* x (pow (sqrt E) (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (pow (sqrt E) (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite216.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-exp-log`
22×	`add-sqr-sqrt` `prod-exp`
20×	`*-un-lft-identity`
16×	`add-cube-cbrt`
15×	`add-cbrt-cube`
13×	`div-exp`
12×	`unpow-prod-down`
11×	`pow1`
10×	`pow-unpow`
9×	`pow-to-exp` `pow-exp`
6×	`unpow-prod-up` `log-prod` `pow-pow` `sqrt-prod` `pow-sub`
4×	`associate-r` `cbrt-unprod` `add-log-exp`
3×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `times-frac` `associate-r/` `associate-l` `associate-/r` `associate-/l/`
2×	`sub-neg` `sqrt-pow1` `pow1/2` `associate--l+` `sqrt-pow2` `distribute-lft-out--` `difference-of-squares` `sqr-pow`
1×	`frac-times` `frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `log-pow` `-commutative` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 119

Calls

4 calls:

14.0ms	(* y (log z))
38.0ms	(pow (sqrt E) (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
35.0ms	(pow (sqrt E) (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
121.0ms	(/ (* (* x (pow (sqrt E) (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (pow (sqrt E) (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series1.5s

Counts

4 → 12

Calls

4 calls:

50.0ms	(* y (log z))
382.0ms	(pow (sqrt E) (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
382.0ms	(pow (sqrt E) (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
719.0ms	(/ (* (* x (pow (sqrt E) (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (pow (sqrt E) (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.1s

Counts

131 → 131

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	233	3492
1	556	2792
2	1761	2519
done	5000	2461

prune662.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (- (+ b (* (- (log a)) t))))
0.2b	(* (- (log a)) t)
1.2b	(/ (* (/ x (pow a 1.0)) (* (pow z y) (exp (- (+ b (* (- (log a)) t)))))) y)
4.7b	(* (/ x (pow a 1.0)) (* (pow z y) (exp (- (+ b (* (- (log a)) t))))))

rewrite555.0ms

Algorithm

rewrite-expression-head

Rules

96×	`add-exp-log`
57×	`prod-exp`
41×	`div-exp`
37×	`associate-l`
36×	`add-cbrt-cube`
29×	`add-sqr-sqrt`
27×	`add-cube-cbrt` `*-un-lft-identity`
24×	`times-frac`
16×	`pow-to-exp` `pow-exp`
14×	`associate-*r/`
13×	`cbrt-unprod`
10×	`pow1` `exp-prod`
9×	`cbrt-undiv` `exp-neg` `unpow-prod-down`
8×	`add-log-exp`
7×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `associate-/l/`
6×	`frac-times`
5×	`neg-sub0` `exp-diff`
4×	`associate-r` `un-div-inv`
3×	`associate-/r*` `rem-exp-log` `sqr-pow`
2×	`neg-mul-1` `pow-prod-down` `neg-log` `associate-l/` `log-pow` `-commutative` `div-inv`
1×	`distribute-lft-neg-out` `distribute-neg-in` `frac-2neg` `exp-sum` `clear-num` `sum-log` `associate-/l*` `unswap-sqr`

Counts

4 → 159

Calls

4 calls:

25.0ms	(exp (- (+ b (* (- (log a)) t))))
12.0ms	(* (- (log a)) t)
241.0ms	(/ (* (/ x (pow a 1.0)) (* (pow z y) (exp (- (+ b (* (- (log a)) t)))))) y)
264.0ms	(* (/ x (pow a 1.0)) (* (pow z y) (exp (- (+ b (* (- (log a)) t))))))

series1.4s

Counts

4 → 12

Calls

4 calls:

48.0ms	(exp (- (+ b (* (- (log a)) t))))
389.0ms	(* (- (log a)) t)
495.0ms	(/ (* (/ x (pow a 1.0)) (* (pow z y) (exp (- (+ b (* (- (log a)) t)))))) y)
447.0ms	(* (/ x (pow a 1.0)) (* (pow z y) (exp (- (+ b (* (- (log a)) t))))))

simplify1.3s

Counts

171 → 171

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	293	3288
1	751	3143
2	2869	2454
done	5001	2347

prune655.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes607.0ms

Accuracy

0% (2.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	37
1	27	37
2	29	37
done	29	37

end0.0ms

sample13.4s

Algorithm

intervals

Results

6.6s	46341×	body	80	nan
2.2s	15267×	body	80	valid