Details

sample433.0ms

Algorithm

intervals

Results

181.0ms	1374×	body	80	nan
77.0ms	482×	body	80	valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 3 (29.0ms)

Iter	Nodes	Cost
0	17	18
1	33	17
2	73	17
3	190	16
4	563	16
5	3079	16
done	5001	16

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.7b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.8b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite349.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`log-prod` `exp-sum` `add-exp-log`
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×	`associate-/r*` `times-frac` `prod-exp` `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×	`clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3--` `associate--l+` `associate-r/` `div-inv` `flip--` `associate-/l` `associate-/l/`

Counts

4 → 112

Calls

4 calls:

28.0ms	(* (- t 1.0) (log a))
7.0ms	(* y (log z))
72.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
237.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series564.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(* (- t 1.0) (log a))
56.0ms	(* y (log z))
160.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
243.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify967.0ms

Counts

124 → 124

Iterations

Useful iterations: done (961.0ms)

Iter	Nodes	Cost
0	277	2031
1	624	1830
2	2439	1524
done	5001	1443

prune955.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma t (- (log a)) b)
0.2b	(* x (pow a (- 1.0)))
0.8b	(/ (/ (* x (pow a (- 1.0))) (exp (fma y (- (log z)) (fma t (- (log a)) b)))) y)
6.9b	(/ (* x (pow a (- 1.0))) (exp (fma y (- (log z)) (fma t (- (log a)) b))))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

44×	`times-frac`
31×	`add-sqr-sqrt`
27×	`add-exp-log`
26×	`*-un-lft-identity` `add-cube-cbrt`
20×	`add-cbrt-cube`
13×	`div-exp`
9×	`prod-exp` `associate-/l*`
7×	`cbrt-undiv` `associate-/r` `associate-r*` `fma-udef`
6×	`exp-sum` `div-inv`
4×	`expm1-log1p-u` `pow1` `pow-neg` `unpow-prod-down` `associate-*r/` `log1p-expm1-u` `add-log-exp` `associate-/l/`
3×	`pow-to-exp` `associate-l` `pow-exp` `cbrt-unprod` `unswap-sqr`
2×	`neg-sub0` `clear-num` `frac-2neg` `un-div-inv` `pow-sub` `sqr-pow`
1×	`*-commutative`

Counts

4 → 126

Calls

4 calls:

0.0ms	(fma t (- (log a)) b)
22.0ms	(* x (pow a (- 1.0)))
27.0ms	(/ (/ (* x (pow a (- 1.0))) (exp (fma y (- (log z)) (fma t (- (log a)) b)))) y)
13.0ms	(/ (* x (pow a (- 1.0))) (exp (fma y (- (log z)) (fma t (- (log a)) b))))

series1.3s

Counts

4 → 12

Calls

4 calls:

74.0ms	(fma t (- (log a)) b)
162.0ms	(* x (pow a (- 1.0)))
515.0ms	(/ (/ (* x (pow a (- 1.0))) (exp (fma y (- (log z)) (fma t (- (log a)) b)))) y)
565.0ms	(/ (* x (pow a (- 1.0))) (exp (fma y (- (log z)) (fma t (- (log a)) b))))

simplify1.3s

Counts

138 → 138

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	255	3151
1	620	3036
2	2987	2734
done	5002	2619

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (pow a (/ (- 1.0) 2)))
0.3b	(* (* x (pow a (/ (- 1.0) 2))) (pow a (/ (- 1.0) 2)))
0.8b	(/ (/ (* (* x (pow a (/ (- 1.0) 2))) (pow a (/ (- 1.0) 2))) (exp (fma y (- (log z)) (fma t (- (log a)) b)))) y)
6.9b	(/ (* (* x (pow a (/ (- 1.0) 2))) (pow a (/ (- 1.0) 2))) (exp (fma y (- (log z)) (fma t (- (log a)) b))))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

104×	`add-exp-log`
66×	`prod-exp`
44×	`times-frac`
40×	`div-exp`
34×	`add-cbrt-cube`
33×	`add-sqr-sqrt`
28×	`*-un-lft-identity` `add-cube-cbrt`
24×	`pow-neg` `distribute-frac-neg`
22×	`pow-to-exp` `pow-exp`
18×	`associate-*r/`
15×	`neg-sub0` `div-sub` `pow-sub`
14×	`associate-r`
13×	`associate-/l/`
12×	`frac-times`
10×	`cbrt-undiv` `cbrt-unprod`
9×	`un-div-inv` `associate-/l*`
7×	`associate-/r*` `unpow-prod-down`
6×	`exp-sum` `associate-*l/` `fma-udef` `div-inv`
4×	`expm1-log1p-u` `pow1` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr` `sqr-pow`
2×	`clear-num` `frac-2neg` `*-commutative`

Counts

4 → 189

Calls

4 calls:

12.0ms	(* x (pow a (/ (- 1.0) 2)))
41.0ms	(* (* x (pow a (/ (- 1.0) 2))) (pow a (/ (- 1.0) 2)))
23.0ms	(/ (/ (* (* x (pow a (/ (- 1.0) 2))) (pow a (/ (- 1.0) 2))) (exp (fma y (- (log z)) (fma t (- (log a)) b)))) y)
49.0ms	(/ (* (* x (pow a (/ (- 1.0) 2))) (pow a (/ (- 1.0) 2))) (exp (fma y (- (log z)) (fma t (- (log a)) b))))

series1.5s

Counts

4 → 12

Calls

4 calls:

193.0ms	(* x (pow a (/ (- 1.0) 2)))
190.0ms	(* (* x (pow a (/ (- 1.0) 2))) (pow a (/ (- 1.0) 2)))
570.0ms	(/ (/ (* (* x (pow a (/ (- 1.0) 2))) (pow a (/ (- 1.0) 2))) (exp (fma y (- (log z)) (fma t (- (log a)) b)))) y)
518.0ms	(/ (* (* x (pow a (/ (- 1.0) 2))) (pow a (/ (- 1.0) 2))) (exp (fma y (- (log z)) (fma t (- (log a)) b))))

simplify490.0ms

Counts

201 → 201

Iterations

Useful iterations: done (481.0ms)

Iter	Nodes	Cost
0	294	5779
1	767	4811
done	5000	4287

prune1.7s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* x (pow a (/ 0 2))) (* (exp (fma y (- (log z)) (fma t (- (log a)) b))) (pow a 1.0)))
0.1b	(fma y (- (log z)) (fma t (- (log a)) b))
0.1b	(fma t (- (log a)) b)
0.8b	(/ (/ (* x (pow a (/ 0 2))) (* (exp (fma y (- (log z)) (fma t (- (log a)) b))) (pow a 1.0))) y)

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

94×	`add-exp-log`
49×	`div-exp`
48×	`prod-exp`
34×	`add-cbrt-cube`
20×	`times-frac`
16×	`pow-to-exp` `pow-exp`
14×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
13×	`cbrt-undiv`
8×	`cbrt-unprod`
6×	`div-inv` `associate-/l*`
4×	`expm1-log1p-u` `pow1` `associate-/r*` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `fma-udef`
1×	`associate-/l/`

Counts

4 → 113

Calls

4 calls:

25.0ms	(/ (* x (pow a (/ 0 2))) (* (exp (fma y (- (log z)) (fma t (- (log a)) b))) (pow a 1.0)))
0.0ms	(fma y (- (log z)) (fma t (- (log a)) b))
0.0ms	(fma t (- (log a)) b)
35.0ms	(/ (/ (* x (pow a (/ 0 2))) (* (exp (fma y (- (log z)) (fma t (- (log a)) b))) (pow a 1.0))) y)

series1.6s

Counts

4 → 12

Calls

4 calls:

513.0ms	(/ (* x (pow a (/ 0 2))) (* (exp (fma y (- (log z)) (fma t (- (log a)) b))) (pow a 1.0)))
110.0ms	(fma y (- (log z)) (fma t (- (log a)) b))
107.0ms	(fma t (- (log a)) b)
857.0ms	(/ (/ (* x (pow a (/ 0 2))) (* (exp (fma y (- (log z)) (fma t (- (log a)) b))) (pow a 1.0))) y)

simplify1.4s

Counts

125 → 125

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	225	3844
1	581	3433
2	3298	2572
done	5001	2434

prune940.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes690.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	23	26
1	25	24
done	25	24

end0.0ms

sample14.3s

Algorithm

intervals

Results

6.5s	44991×	body	80	nan
2.9s	15102×	body	80	valid