Details

sample314.0ms

Algorithm

intervals

Results

165.0ms	1539×	body	80	nan
45.0ms	474×	body	80	valid

simplify2.7s

Counts

1 → 1

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	17	497
1	33	472
2	73	472
3	190	472
4	563	472
5	3079	472
done	5001	472

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
17×	`add-cube-cbrt`
12×	`exp-sum`
11×	`add-cbrt-cube`
10×	`add-exp-log`
9×	`prod-diff`
7×	`pow1` `add-log-exp`
6×	`log-prod`
5×	`exp-prod` `associate-l`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u`
3×	`distribute-rgt-in` `associate-/r*` `distribute-lft-in` `times-frac`
2×	`cbrt-undiv` `exp-diff` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `difference-of-squares` `rem-exp-log`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `pow-prod-down` `associate--l+` `associate-r/` `log-pow` `-commutative` `div-inv` `flip--` `associate-/l*` `unswap-sqr` `associate-/l/`

Counts

4 → 94

Calls

4 calls:

1.0ms	(fma y (log z) (* (- t 1.0) (log a)))
42.0ms	(* (- t 1.0) (log a))
26.0ms	(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
72.0ms	(/ (* x (exp (- (fma y (log z) (* (- t 1.0) (log a))) b))) y)

series621.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(fma y (log z) (* (- t 1.0) (log a)))
104.0ms	(* (- t 1.0) (log a))
155.0ms	(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
245.0ms	(/ (* x (exp (- (fma y (log z) (* (- t 1.0) (log a))) b))) y)

simplify2.9s

Counts

106 → 106

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	249	45364
1	567	42968
2	2173	40807
done	5004	40024

prune949.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.8b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

330×	`times-frac`
220×	`add-sqr-sqrt`
218×	`*-un-lft-identity`
214×	`add-cube-cbrt`
156×	`exp-sum`
117×	`prod-diff`
50×	`associate-/r*`
14×	`fma-udef`
13×	`sub-neg` `associate--l+`
11×	`add-cbrt-cube`
10×	`add-exp-log`
7×	`pow1` `add-log-exp`
6×	`log-prod`
5×	`exp-prod` `exp-diff` `associate-l` `associate-/r/` `div-inv`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u`
3×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `div-exp` `associate-/l*`
2×	`associate-*l/` `distribute-lft-out--` `difference-of-squares` `rem-exp-log`
1×	`clear-num` `frac-2neg` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `flip--` `unswap-sqr`

Counts

4 → 290

Calls

4 calls:

1.0ms	(fma y (log z) (* (- t 1.0) (log a)))
42.0ms	(* (- t 1.0) (log a))
35.0ms	(/ x (/ y (exp (- (fma y (log z) (* (- t 1.0) (log a))) b))))
22.0ms	(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))

series622.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(fma y (log z) (* (- t 1.0) (log a)))
97.0ms	(* (- t 1.0) (log a))
247.0ms	(/ x (/ y (exp (- (fma y (log z) (* (- t 1.0) (log a))) b))))
176.0ms	(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))

simplify1.8s

Counts

302 → 302

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	578	234042
1	1493	221218
done	5000	198204

prune2.7s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.8b

localize99.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
1.0b	(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
1.0b	(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
1.0b	(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

36×	`exp-sum`
32×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`prod-diff`
26×	`add-cube-cbrt`
15×	`exp-prod`
13×	`add-log-exp`
6×	`rem-exp-log`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
3×	`cbrt-prod` `sub-neg` `exp-diff` `diff-log` `associate--l+` `fma-udef` `distribute-lft-out--` `difference-of-squares`
1×	`pow1/3`

Counts

4 → 100

Calls

4 calls:

1.0ms	(cbrt y)
21.0ms	(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
14.0ms	(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
18.0ms	(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))

series881.0ms

Counts

4 → 12

Calls

4 calls:

261.0ms	(cbrt y)
200.0ms	(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
222.0ms	(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
198.0ms	(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))

simplify2.8s

Counts

112 → 112

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	139	54347
1	284	50321
2	766	44966
3	3579	44005
done	5000	43807

prune1.4s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.6b

localize177.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

48×	`exp-sum`
40×	`add-sqr-sqrt` `*-un-lft-identity`
36×	`prod-diff`
32×	`add-cube-cbrt`
20×	`exp-prod`
16×	`add-log-exp`
8×	`rem-exp-log`
4×	`expm1-log1p-u` `pow1` `sub-neg` `add-cbrt-cube` `exp-diff` `diff-log` `associate--l+` `add-exp-log` `fma-udef` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 116

Calls

4 calls:

13.0ms	(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
14.0ms	(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
14.0ms	(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
22.0ms	(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))

series707.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
179.0ms	(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
167.0ms	(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))
189.0ms	(exp (- (fma y (log z) (* (- t 1.0) (log a))) b))

simplify2.6s

Counts

128 → 128

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	116	68472
1	243	63560
2	657	56472
3	3262	55404
done	5000	55140

prune1.4s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 0.6b

regimes3.3s

Accuracy

0% (0.5b remaining)

Error of 1.1b against oracle of 0.6b and baseline of 1.1b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	25	952
1	28	952
done	28	952

end0.0ms

sample11.3s

Algorithm

intervals

Results

5.9s	45944×	body	80	nan
2.6s	15326×	body	80	valid