Details

sample184.0ms

Algorithm

intervals

Results

75.0ms	1497×	body	80	nan
32.0ms	470×	body	80	valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 3 (16.0ms)

Iter	Nodes	Cost
0	17	18
1	32	18
2	64	18
3	157	16
4	469	16
5	1872	16
done	5000	16

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

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)
1.0b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite132.0ms

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:

11.0ms	(* (- t 1.0) (log a))
4.0ms	(* y (log z))
81.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
33.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series403.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (- t 1.0) (log a))
44.0ms	(* y (log z))
174.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
123.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify695.0ms

Counts

107 → 107

Iterations

Useful iterations: done (692.0ms)

Iter	Nodes	Cost
0	231	1531
1	494	1495
2	1452	1209
done	5002	1180

prune396.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

49×	`associate-l`
39×	`add-sqr-sqrt`
31×	`times-frac`
30×	`*-un-lft-identity`
28×	`add-cube-cbrt` `exp-sum`
16×	`associate--l+`
14×	`sub-neg`
13×	`pow1` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
12×	`add-exp-log` `associate-r`
10×	`add-log-exp`
6×	`log-prod`
4×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `prod-exp` `cbrt-unprod` `associate--r-` `unswap-sqr`
3×	`exp-prod` `diff-log` `pow-prod-down` `log-pow` `*-commutative` `rem-exp-log`
2×	`associate-*r/`
1×	`cbrt-undiv` `distribute-lft-neg-out` `neg-mul-1` `flip3--` `exp-diff` `div-exp` `associate-*l/` `flip--` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 135

Calls

4 calls:

14.0ms	(* (- (log a)) (- 1.0 t))
4.0ms	(* y (log z))
121.0ms	(* (/ (exp (- (* (- (log a)) (- 1.0 t)) (- b (* y (log z))))) y) x)
29.0ms	(exp (- (* (- (log a)) (- 1.0 t)) (- b (* y (log z)))))

series570.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* (- (log a)) (- 1.0 t))
37.0ms	(* y (log z))
287.0ms	(* (/ (exp (- (* (- (log a)) (- 1.0 t)) (- b (* y (log z))))) y) x)
147.0ms	(exp (- (* (- (log a)) (- 1.0 t)) (- b (* y (log z)))))

simplify891.0ms

Counts

147 → 147

Iterations

Useful iterations: done (887.0ms)

Iter	Nodes	Cost
0	271	2249
1	622	2215
2	1832	1905
done	5000	1893

prune531.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* (pow (/ 1 a) 1.0) (* (exp (- (* (- (log a)) (- t)) b)) (pow z y))) y)
0.3b	(* (- (log a)) (- t))
0.5b	(* (exp (- (* (- (log a)) (- t)) b)) (pow z y))
0.5b	(* (/ (* (pow (/ 1 a) 1.0) (* (exp (- (* (- (log a)) (- t)) b)) (pow z y))) y) x)

rewrite713.0ms

Algorithm

rewrite-expression-head

Rules

171×	`add-exp-log`
114×	`prod-exp`
66×	`div-exp`
45×	`pow-exp`
31×	`add-cbrt-cube`
27×	`add-sqr-sqrt`
24×	`associate-l`
21×	`pow-to-exp`
20×	`associate-r`
18×	`add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-unprod`
10×	`pow1`
8×	`rec-exp` `1-exp`
7×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
6×	`cbrt-undiv` `times-frac`
5×	`unswap-sqr`
4×	`unpow-prod-down` `add-log-exp`
3×	`associate-l/` `associate-/r` `*-commutative`
2×	`neg-mul-1` `exp-diff` `exp-sum` `pow-prod-down` `log-pow` `div-inv` `sqr-pow`
1×	`distribute-lft-neg-out` `sub-neg` `frac-2neg` `associate-r/` `clear-num` `distribute-rgt-neg-out` `associate-/l/` `associate-/l`

Counts

4 → 161

Calls

4 calls:

133.0ms	(/ (* (pow (/ 1 a) 1.0) (* (exp (- (* (- (log a)) (- t)) b)) (pow z y))) y)
11.0ms	(* (- (log a)) (- t))
57.0ms	(* (exp (- (* (- (log a)) (- t)) b)) (pow z y))
504.0ms	(* (/ (* (pow (/ 1 a) 1.0) (* (exp (- (* (- (log a)) (- t)) b)) (pow z y))) y) x)

series1.1s

Counts

4 → 12

Calls

4 calls:

376.0ms	(/ (* (pow (/ 1 a) 1.0) (* (exp (- (* (- (log a)) (- t)) b)) (pow z y))) y)
67.0ms	(* (- (log a)) (- t))
124.0ms	(* (exp (- (* (- (log a)) (- t)) b)) (pow z y))
550.0ms	(* (/ (* (pow (/ 1 a) 1.0) (* (exp (- (* (- (log a)) (- t)) b)) (pow z y))) y) x)

simplify1.0s

Counts

173 → 173

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	307	3737
1	838	3575
2	3024	2789
done	5000	2786

prune507.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite10.0ms

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:

6.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series977.0ms

Counts

4 → 12

Calls

4 calls:

414.0ms	(* (cbrt z) (cbrt z))
185.0ms	(cbrt z)
185.0ms	(cbrt z)
192.0ms	(cbrt z)

simplify3.0s

Counts

85 → 85

Iterations

Useful iterations: 4 (1.5s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	327	397
3	1169	379
4	3727	374
done	5000	374

prune385.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes374.0ms

Accuracy

0% (2.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	19
1	23	19
2	26	19
3	27	19
done	27	19

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.2s	44915×	body	80	nan
891.0ms	15060×	body	80	valid