Details

sample396.0ms

Algorithm

intervals

Results

182.0ms	1324×	body	80	nan
59.0ms	508×	body	80	valid

simplify2.3s

Counts

1 → 1

Iterations

Useful iterations: 3 (30.0ms)

Iter	Nodes	Cost
0	17	18
1	33	17
2	73	17
3	189	16
4	514	16
5	1747	16
done	5000	16

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.2b	(* y (log z))
0.7b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite457.0ms

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:

33.0ms	(* (- t 1.0) (log a))
16.0ms	(* y (log z))
286.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
116.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series604.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* (- t 1.0) (log a))
66.0ms	(* y (log z))
263.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
184.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.3s

Counts

124 → 124

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	275	2031
1	580	1829
2	1657	1505
done	5000	1399

prune535.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow a (- t 1.0))
0.7b	(/ (pow a (- t 1.0)) (exp b))
0.7b	(/ (* x (* (* (/ (pow a (- t 1.0)) (exp b)) (pow z y)) (exp (fma b -1 b)))) y)
0.7b	(* (/ (pow a (- t 1.0)) (exp b)) (pow z y))

rewrite322.0ms

Algorithm

rewrite-expression-head

Rules

138×	`add-sqr-sqrt`
120×	`times-frac`
112×	`*-un-lft-identity`
110×	`add-cube-cbrt`
88×	`unpow-prod-up`
73×	`add-exp-log`
72×	`prod-diff`
58×	`associate-l`
51×	`prod-exp`
36×	`div-exp`
34×	`unpow-prod-down`
31×	`add-cbrt-cube`
19×	`associate-/l*`
16×	`pow-to-exp` `pow-exp` `sqr-pow`
12×	`unswap-sqr`
11×	`cbrt-unprod`
8×	`cbrt-undiv` `sub-neg`
7×	`associate-r`
6×	`associate-/r*`
5×	`pow1` `pow-unpow`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-*l/` `div-inv`
2×	`frac-2neg` `clear-num` `associate-/l/` `pow-sub`
1×	`pow-pow` `associate-r/` `-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 267

Calls

4 calls:

8.0ms	(pow a (- t 1.0))
18.0ms	(/ (pow a (- t 1.0)) (exp b))
224.0ms	(/ (* x (* (* (/ (pow a (- t 1.0)) (exp b)) (pow z y)) (exp (fma b -1 b)))) y)
52.0ms	(* (/ (pow a (- t 1.0)) (exp b)) (pow z y))

series1.9s

Counts

4 → 12

Calls

4 calls:

105.0ms	(pow a (- t 1.0))
93.0ms	(/ (pow a (- t 1.0)) (exp b))
1.4s	(/ (* x (* (* (/ (pow a (- t 1.0)) (exp b)) (pow z y)) (exp (fma b -1 b)))) y)
286.0ms	(* (/ (pow a (- t 1.0)) (exp b)) (pow z y))

simplify2.0s

Counts

279 → 279

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	426	5714
1	1054	5028
2	3346	4370
done	5000	4299

prune1.7s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

128×	`add-sqr-sqrt`
117×	`times-frac`
102×	`add-cube-cbrt` `*-un-lft-identity`
77×	`unpow-prod-up`
63×	`prod-diff`
58×	`associate-l`
31×	`unpow-prod-down`
23×	`add-exp-log`
18×	`associate-/l*`
15×	`sqr-pow`
12×	`div-exp` `prod-exp` `unswap-sqr`
11×	`add-cbrt-cube`
8×	`pow-to-exp` `pow-exp`
7×	`sub-neg` `associate-r`
6×	`cbrt-prod`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r*`
2×	`cbrt-undiv` `pow1/3` `cbrt-unprod` `div-inv`
1×	`frac-2neg` `associate-l/` `clear-num` `-commutative` `associate-/l/` `pow-sub`

Counts

4 → 220

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
18.0ms	(/ (pow a (- t 1.0)) (exp b))
91.0ms	(* (/ (pow a (- t 1.0)) (exp b)) (pow z y))

series1.0s

Counts

4 → 12

Calls

4 calls:

320.0ms	(cbrt y)
307.0ms	(cbrt y)
129.0ms	(/ (pow a (- t 1.0)) (exp b))
254.0ms	(* (/ (pow a (- t 1.0)) (exp b)) (pow z y))

simplify1.3s

Counts

232 → 232

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	328	4059
1	708	3503
2	1897	3159
done	5001	3102

prune2.0s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
0.7b	(/ (pow a t) (* (cbrt (exp b)) (cbrt (exp b))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod`
7×	`times-frac` `add-cbrt-cube` `associate-/l*`
6×	`unpow-prod-down` `div-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `prod-exp`
2×	`cbrt-undiv` `pow-to-exp` `pow-exp` `sqr-pow`
1×	`frac-2neg` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

4 → 74

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(cbrt y)
28.0ms	(/ (pow a t) (* (cbrt (exp b)) (cbrt (exp b))))

series1.1s

Counts

4 → 12

Calls

4 calls:

270.0ms	(cbrt y)
312.0ms	(cbrt y)
334.0ms	(cbrt y)
150.0ms	(/ (pow a t) (* (cbrt (exp b)) (cbrt (exp b))))

simplify1.6s

Counts

86 → 86

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	112	775
1	230	735
2	582	662
3	2184	633
done	5000	629

prune678.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes746.0ms

Accuracy

0% (1.8b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	18
1	21	18
done	21	18

end0.0ms

sample15.4s

Algorithm

intervals

Results

8.0s	46319×	body	80	nan
2.5s	15218×	body	80	valid