Details

sample190.0ms

Algorithm

intervals

Results

79.0ms	1497×	body	80	nan
32.0ms	470×	body	80	valid

simplify1.7s

Counts

1 → 1

Iterations

Useful iterations: 3 (19.0ms)

Iter	Nodes	Cost
0	17	18
1	33	17
2	72	17
3	171	16
4	498	16
5	1930	16
done	5001	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))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`add-exp-log` `log-prod` `exp-sum`
10×	`pow1` `add-log-exp`
9×	`prod-diff`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`exp-prod`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`times-frac` `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 → 112

Calls

4 calls:

11.0ms	(* (- t 1.0) (log a))
4.0ms	(* y (log z))
87.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
35.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series473.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* (- t 1.0) (log a))
49.0ms	(* y (log z))
204.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
147.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify815.0ms

Counts

124 → 124

Iterations

Useful iterations: done (811.0ms)

Iter	Nodes	Cost
0	275	2031
1	577	1829
2	1642	1505
done	5001	1490

prune509.0ms

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

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

666×	`times-frac`
439×	`add-sqr-sqrt`
435×	`*-un-lft-identity`
433×	`add-cube-cbrt`
364×	`exp-sum`
291×	`prod-diff`
286×	`associate--l+`
157×	`distribute-rgt-in` `distribute-lft-in`
98×	`associate-/r*`
41×	`sub-neg`
15×	`associate-l`
13×	`add-cbrt-cube` `associate--r-`
12×	`add-exp-log`
11×	`pow1`
10×	`add-log-exp`
9×	`associate-r`
6×	`log-prod`
5×	`exp-diff` `associate-/r/` `div-inv`
4×	`distribute-lft-neg-in` `expm1-log1p-u` `distribute-rgt-neg-in` `log1p-expm1-u`
3×	`cbrt-undiv` `exp-prod` `diff-log` `div-exp` `log-pow` `rem-exp-log` `associate-/l*`
2×	`associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-lft-neg-out` `neg-mul-1` `flip3--` `frac-2neg` `clear-num` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 539

Calls

4 calls:

19.0ms	(* (- (log a)) (- 1.0 t))
4.0ms	(* y (log z))
67.0ms	(/ x (/ y (exp (- (* (- (log a)) (- 1.0 t)) (- b (* y (log z)))))))
37.0ms	(exp (- (* (- (log a)) (- 1.0 t)) (- b (* y (log z)))))

series566.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(* (- (log a)) (- 1.0 t))
47.0ms	(* y (log z))
218.0ms	(/ x (/ y (exp (- (* (- (log a)) (- 1.0 t)) (- b (* y (log z)))))))
174.0ms	(exp (- (* (- (log a)) (- 1.0 t)) (- b (* y (log z)))))

simplify889.0ms

Counts

551 → 551

Iterations

Useful iterations: done (865.0ms)

Iter	Nodes	Cost
0	975	19340
1	1939	16188
done	5000	15718

prune2.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b)))
0.2b	(pow a (- t 1.0))
0.5b	(* (pow a (- t 1.0)) (pow z y))
0.5b	(* x (/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b))))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

131×	`add-exp-log`
86×	`prod-exp`
40×	`add-sqr-sqrt` `div-exp`
36×	`add-cbrt-cube`
31×	`pow-to-exp` `pow-exp`
26×	`*-un-lft-identity`
24×	`add-cube-cbrt`
22×	`unpow-prod-up`
21×	`associate-l`
18×	`prod-diff`
15×	`unpow-prod-down`
14×	`cbrt-unprod`
12×	`associate-r`
10×	`unswap-sqr`
9×	`sqr-pow`
8×	`cbrt-undiv`
7×	`pow1`
5×	`pow-unpow`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-sub`
2×	`sub-neg` `times-frac` `associate-l/` `-commutative` `div-inv`
1×	`pow-pow` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `associate-/r` `associate-/l/` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 175

Calls

4 calls:

13.0ms	(/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b)))
4.0ms	(pow a (- t 1.0))
16.0ms	(* (pow a (- t 1.0)) (pow z y))
25.0ms	(* x (/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b))))

series816.0ms

Counts

4 → 12

Calls

4 calls:

274.0ms	(/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b)))
82.0ms	(pow a (- t 1.0))
158.0ms	(* (pow a (- t 1.0)) (pow z y))
301.0ms	(* x (/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b))))

simplify1.1s

Counts

187 → 187

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	291	3358
1	796	3016
2	3003	2578
done	5000	2557

prune591.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp b))
0.0b	(/ (/ (* (pow a t) (pow z y)) (pow a 1.0)) (* y (exp b)))
0.5b	(* (pow a t) (pow z y))
0.5b	(* x (/ (/ (* (pow a t) (pow z y)) (pow a 1.0)) (* y (exp b))))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

445×	`add-exp-log`
244×	`div-exp`
243×	`prod-exp`
118×	`pow-to-exp` `pow-exp`
58×	`add-cbrt-cube`
43×	`times-frac`
37×	`add-sqr-sqrt`
25×	`associate-r`
21×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
20×	`cbrt-undiv`
19×	`cbrt-unprod`
13×	`associate-l`
11×	`associate-/l*` `unswap-sqr` `sqr-pow`
8×	`pow1`
5×	`div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`pow-prod-down`
1×	`frac-2neg` `associate-r/` `clear-num` `associate-/r` `associate-/l/`

Counts

4 → 268

Calls

4 calls:

5.0ms	(* y (exp b))
13.0ms	(/ (/ (* (pow a t) (pow z y)) (pow a 1.0)) (* y (exp b)))
12.0ms	(* (pow a t) (pow z y))
32.0ms	(* x (/ (/ (* (pow a t) (pow z y)) (pow a 1.0)) (* y (exp b))))

series1.0s

Counts

4 → 12

Calls

4 calls:

25.0ms	(* y (exp b))
427.0ms	(/ (/ (* (pow a t) (pow z y)) (pow a 1.0)) (* y (exp b)))
119.0ms	(* (pow a t) (pow z y))
476.0ms	(* x (/ (/ (* (pow a t) (pow z y)) (pow a 1.0)) (* y (exp b))))

simplify1.2s

Counts

280 → 280

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	351	5444
1	974	4986
2	3446	4377
done	5001	4374

prune629.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes314.0ms

Accuracy

0% (2.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	19
1	22	19
2	25	19
3	26	19
done	26	19

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.3s	44915×	body	80	nan
956.0ms	15060×	body	80	valid