Details

sample387.0ms

Algorithm

intervals

Results

127.0ms	1413×	body	80	nan
73.0ms	465×	body	80	valid

simplify2.3s

Counts

1 → 1

Iterations

Useful iterations: 3 (28.0ms)

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

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (log z))
0.3b	(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
1.2b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.2b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite708.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
25×	`add-cube-cbrt`
24×	`exp-sum`
19×	`associate-r`
18×	`prod-diff`
13×	`add-cbrt-cube`
11×	`add-exp-log`
10×	`add-log-exp`
9×	`pow1`
6×	`log-prod` `associate-l`
5×	`exp-prod`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`distribute-rgt-in` `distribute-lft-in` `times-frac` `exp-diff` `prod-exp` `associate-/r*` `cbrt-unprod` `rem-exp-log`
2×	`cbrt-undiv` `sub-neg` `diff-log` `associate-r/` `div-exp` `pow-prod-down` `associate--l+` `-commutative` `unswap-sqr`
1×	`frac-2neg` `clear-num` `sum-log` `log-pow` `div-inv` `associate-/l/` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 114

Calls

4 calls:

10.0ms	(* y (log z))
374.0ms	(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
109.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
211.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series627.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* y (log z))
194.0ms	(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
153.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
231.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.3s

Counts

126 → 126

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	239	2543
1	502	2261
2	1305	1821
done	5000	1666

prune699.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (log z))
0.3b	(* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
1.2b	(/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
1.2b	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
27×	`add-cube-cbrt`
25×	`add-exp-log`
24×	`unpow-prod-up`
23×	`associate-r`
18×	`prod-diff`
13×	`add-cbrt-cube`
9×	`prod-exp`
8×	`pow1`
7×	`unpow-prod-down`
6×	`log-prod` `associate-l` `pow-exp`
5×	`pow-unpow` `div-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`distribute-rgt-in` `pow-to-exp` `e-exp-1` `distribute-lft-in` `times-frac` `associate-/r*` `cbrt-unprod` `pow-sub` `sqr-pow`
2×	`cbrt-undiv` `sub-neg` `associate-r/` `associate--l+` `-commutative`
1×	`pow-pow` `frac-2neg` `pow-prod-down` `clear-num` `log-pow` `div-inv` `associate-/l/` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 130

Calls

4 calls:

16.0ms	(* y (log z))
58.0ms	(* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
58.0ms	(/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
32.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series768.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* y (log z))
248.0ms	(* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
286.0ms	(/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
156.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.3s

Counts

142 → 142

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	264	3108
1	592	2675
2	1511	2363
done	5000	2204

prune655.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma y (log z) (- (fma (- (log a)) t b)))
0.1b	(fma (- (log a)) t b)
0.3b	(* x (/ (exp (fma y (log z) (- (fma (- (log a)) t b)))) (pow a 1.0)))
1.2b	(/ (* x (/ (exp (fma y (log z) (- (fma (- (log a)) t b)))) (pow a 1.0))) y)

rewrite97.0ms

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:

0.0ms	(fma y (log z) (- (fma (- (log a)) t b)))
0.0ms	(fma (- (log a)) t b)
59.0ms	(* x (/ (exp (fma y (log z) (- (fma (- (log a)) t b)))) (pow a 1.0)))
34.0ms	(/ (* x (/ (exp (fma y (log z) (- (fma (- (log a)) t b)))) (pow a 1.0))) y)

series1.2s

Counts

4 → 12

Calls

4 calls:

126.0ms	(fma y (log z) (- (fma (- (log a)) t b)))
107.0ms	(fma (- (log a)) t b)
386.0ms	(* x (/ (exp (fma y (log z) (- (fma (- (log a)) t b)))) (pow a 1.0)))
607.0ms	(/ (* x (/ (exp (fma y (log z) (- (fma (- (log a)) t b)))) (pow a 1.0))) y)

simplify1.2s

Counts

117 → 117

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	250	2529
1	591	2437
2	1862	2109
done	5001	1928

prune865.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma y (log z) (- (fma (- (log a)) t b)))
0.1b	(fma (- (log a)) t b)
0.3b	(* x (/ (exp (fma y (log z) (- (fma (- (log a)) t b)))) (pow a 1.0)))
1.2b	(* (* x (/ (exp (fma y (log z) (- (fma (- (log a)) t b)))) (pow a 1.0))) (/ 1 y))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-exp-log`
45×	`associate-r`
40×	`times-frac` `prod-exp`
38×	`add-sqr-sqrt`
30×	`add-cbrt-cube`
28×	`add-cube-cbrt` `*-un-lft-identity`
25×	`div-exp`
13×	`unpow-prod-down`
12×	`cbrt-unprod`
11×	`pow1`
9×	`fma-udef`
7×	`exp-sum`
6×	`cbrt-undiv`
5×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp` `sqr-pow`
4×	`expm1-log1p-u` `associate-r/` `associate-l*` `pow-prod-down` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`*-commutative` `div-inv`
1×	`frac-times` `associate-*l/` `un-div-inv`

Counts

4 → 133

Calls

4 calls:

1.0ms	(fma y (log z) (- (fma (- (log a)) t b)))
1.0ms	(fma (- (log a)) t b)
44.0ms	(* x (/ (exp (fma y (log z) (- (fma (- (log a)) t b)))) (pow a 1.0)))
111.0ms	(* (* x (/ (exp (fma y (log z) (- (fma (- (log a)) t b)))) (pow a 1.0))) (/ 1 y))

series1.3s

Counts

4 → 12

Calls

4 calls:

142.0ms	(fma y (log z) (- (fma (- (log a)) t b)))
131.0ms	(fma (- (log a)) t b)
440.0ms	(* x (/ (exp (fma y (log z) (- (fma (- (log a)) t b)))) (pow a 1.0)))
604.0ms	(* (* x (/ (exp (fma y (log z) (- (fma (- (log a)) t b)))) (pow a 1.0))) (/ 1 y))

simplify1.7s

Counts

145 → 145

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	292	3388
1	719	3159
2	2228	2679
done	5001	2442

prune838.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes348.0ms

Accuracy

70.7% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.2b

bsearch142.0ms

Steps

Iters	Range		Point
5	2.349488070131825e-83	8.886028714441658e-83	8.688125216583024e-83

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	46
1	32	46
done	32	46

end0.0ms

sample14.6s

Algorithm

intervals

Results

6.7s	46341×	body	80	nan
2.8s	15267×	body	80	valid