Details

sample443.0ms

Algorithm

intervals

Results

192.0ms	1479×	body	80	nan
59.0ms	477×	body	80	valid

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	17	18
1	33	17
2	73	17
3	196	16
4	600	16
5	3258	16
done	5001	16

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize36.0ms

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))

rewrite455.0ms

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:

34.0ms	(* (- t 1.0) (log a))
9.0ms	(* y (log z))
274.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
135.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series635.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(* (- t 1.0) (log a))
58.0ms	(* y (log z))
281.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
182.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.4s

Counts

124 → 124

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	275	2031
1	622	1832
2	2454	1517
done	5001	1433

prune762.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))
0.1b	(fma y (- (log z)) (fma (- (log a)) t b))
0.1b	(fma (- (log a)) t b)
0.5b	(/ (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

34×	`times-frac`
33×	`add-sqr-sqrt`
32×	`associate-r`
24×	`add-exp-log`
23×	`add-cube-cbrt` `*-un-lft-identity`
18×	`add-cbrt-cube`
13×	`unpow-prod-down`
11×	`div-exp`
9×	`fma-udef`
8×	`prod-exp`
7×	`exp-sum`
6×	`pow1`
5×	`cbrt-undiv` `sqr-pow`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`associate-l` `associate-/r*`
2×	`pow-to-exp` `associate-*r/` `pow-exp` `div-inv`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `associate-/l/` `associate-/l`

Counts

4 → 105

Calls

4 calls:

31.0ms	(* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))
1.0ms	(fma y (- (log z)) (fma (- (log a)) t b))
1.0ms	(fma (- (log a)) t b)
40.0ms	(/ (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)

series1.3s

Counts

4 → 12

Calls

4 calls:

503.0ms	(* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))
152.0ms	(fma y (- (log z)) (fma (- (log a)) t b))
157.0ms	(fma (- (log a)) t b)
510.0ms	(/ (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)

simplify1.7s

Counts

117 → 117

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	253	2659
1	656	2570
2	2981	2142
done	5000	2049

prune944.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (- (log a)) t b)
0.3b	(* x (pow a (/ (- 1.0) 2)))
0.5b	(/ (* (* x (pow a (/ (- 1.0) 2))) (/ (pow a (/ (- 1.0) 2)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)
3.3b	(* (* x (pow a (/ (- 1.0) 2))) (/ (pow a (/ (- 1.0) 2)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-exp-log`
59×	`prod-exp`
41×	`div-exp`
39×	`associate-r`
36×	`add-cbrt-cube`
31×	`times-frac`
30×	`add-sqr-sqrt`
25×	`add-cube-cbrt` `*-un-lft-identity`
17×	`pow-to-exp` `pow-exp`
16×	`unpow-prod-down`
13×	`cbrt-unprod`
12×	`associate-*r/`
10×	`pow-neg` `distribute-frac-neg`
9×	`cbrt-undiv`
8×	`fma-udef`
7×	`exp-sum` `associate-/l/`
6×	`pow1` `frac-times` `associate-*l/` `sqr-pow`
5×	`neg-sub0` `div-sub` `un-div-inv` `pow-sub`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r*` `unswap-sqr`
2×	`*-commutative` `div-inv`
1×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/l*`

Counts

4 → 159

Calls

4 calls:

0.0ms	(fma (- (log a)) t b)
14.0ms	(* x (pow a (/ (- 1.0) 2)))
54.0ms	(/ (* (* x (pow a (/ (- 1.0) 2))) (/ (pow a (/ (- 1.0) 2)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)
56.0ms	(* (* x (pow a (/ (- 1.0) 2))) (/ (pow a (/ (- 1.0) 2)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))

series1.5s

Counts

4 → 12

Calls

4 calls:

110.0ms	(fma (- (log a)) t b)
261.0ms	(* x (pow a (/ (- 1.0) 2)))
556.0ms	(/ (* (* x (pow a (/ (- 1.0) 2))) (/ (pow a (/ (- 1.0) 2)) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)
570.0ms	(* (* x (pow a (/ (- 1.0) 2))) (/ (pow a (/ (- 1.0) 2)) (exp (fma y (- (log z)) (fma (- (log a)) t b)))))

simplify662.0ms

Counts

171 → 171

Iterations

Useful iterations: done (643.0ms)

Iter	Nodes	Cost
0	296	4775
1	858	4305
done	5001	3609

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (/ (* x (/ (pow a (* 2 (/ (- 1.0) 2))) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y))
0.5b	(/ (* x (/ (pow a (* 2 (/ (- 1.0) 2))) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)
0.5b	(/ (* x (/ (pow a (* 2 (/ (- 1.0) 2))) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)
0.5b	(/ (* x (/ (pow a (* 2 (/ (- 1.0) 2))) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

14.0ms	(cbrt (/ (* x (/ (pow a (* 2 (/ (- 1.0) 2))) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y))
30.0ms	(/ (* x (/ (pow a (* 2 (/ (- 1.0) 2))) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)
19.0ms	(/ (* x (/ (pow a (* 2 (/ (- 1.0) 2))) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)
27.0ms	(/ (* x (/ (pow a (* 2 (/ (- 1.0) 2))) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)

series2.8s

Counts

4 → 12

Calls

4 calls:

723.0ms	(cbrt (/ (* x (/ (pow a (* 2 (/ (- 1.0) 2))) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y))
537.0ms	(/ (* x (/ (pow a (* 2 (/ (- 1.0) 2))) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)
1.0s	(/ (* x (/ (pow a (* 2 (/ (- 1.0) 2))) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)
569.0ms	(/ (* x (/ (pow a (* 2 (/ (- 1.0) 2))) (exp (fma y (- (log z)) (fma (- (log a)) t b))))) y)

simplify1.2s

Counts

114 → 114

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	186	3912
1	476	3798
2	2124	3151
done	5000	3124

prune1.0s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes453.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 1.3b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	21
1	20	21
done	20	21

end0.0ms

sample15.4s

Algorithm

intervals

Results

7.3s	46274×	body	80	nan
2.6s	15201×	body	80	valid