Details

sample413.0ms

Algorithm

intervals

Results

203.0ms	1137×	body	80	nan
104.0ms	385×	body	80	valid
9.0ms	12×	body	640	valid
8.0ms	14×	body	320	valid
3.0ms	2×	body	1280	valid
2.0ms	6×	body	160	valid

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1044
4	347
3	135
2	62
1	31
0	17

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (log (- 1.0 z)) b) a)
0.0b	(- (log z) t)
0.1b	(fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))
5.4b	(log (- 1.0 z))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`add-cube-cbrt`
13×	`pow1`
12×	`prod-diff`
8×	`log-prod`
7×	`add-exp-log` `log-pow`
6×	`add-cbrt-cube` `associate-l`
5×	`distribute-lft-out--` `add-log-exp`
4×	`expm1-log1p-u` `fma-neg` `insert-posit16` `log1p-expm1-u`
3×	`flip3--` `associate-r` `associate--l+` `flip--` `difference-of-squares`
2×	`log-div` `associate-*l/`
1×	`sub-neg` `diff-log` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

39.0ms	(* (- (log (- 1.0 z)) b) a)
11.0ms	(- (log z) t)
0.0ms	(fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))
5.0ms	(log (- 1.0 z))

series511.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(* (- (log (- 1.0 z)) b) a)
98.0ms	(- (log z) t)
215.0ms	(fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))
63.0ms	(log (- 1.0 z))

simplify2.4s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
3	3914
2	1183
1	480
0	213

prune710.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
17×	`add-cube-cbrt`
13×	`pow1`
12×	`prod-diff`
8×	`add-cbrt-cube`
7×	`associate-r` `add-exp-log`
6×	`associate-l`
5×	`log-pow` `add-log-exp`
4×	`expm1-log1p-u` `fma-neg` `fma-udef` `insert-posit16` `log1p-expm1-u`
3×	`log-prod` `associate--l+`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3--` `diff-log` `exp-sum` `flip--` `difference-of-squares`

Counts

4 → 93

Calls

4 calls:

14.0ms	(* x (exp (fma y (- (log z) t) (- (* (log 1.0) a) (* a (fma 1.0 z b))))))
13.0ms	(* a (fma 1.0 z b))
8.0ms	(- (log z) t)
0.0ms	(fma y (- (log z) t) (- (* (log 1.0) a) (* a (fma 1.0 z b))))

series569.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(* x (exp (fma y (- (log z) t) (- (* (log 1.0) a) (* a (fma 1.0 z b))))))
61.0ms	(* a (fma 1.0 z b))
97.0ms	(- (log z) t)
205.0ms	(fma y (- (log z) t) (- (* (log 1.0) a) (* a (fma 1.0 z b))))

simplify2.3s

Counts

105 → 105

Iterations

Iter	Nodes
done	5014
3	3184
2	893
1	370
0	173

prune758.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize72.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.0b	(- (log z) t)
0.1b	(fma y (- (log z) t) (- (* (log 1.0) a) (* a (fma 1.0 z b))))
0.1b	(fma y (- (log z) t) (- (* (log 1.0) a) (* a (fma 1.0 z b))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
24×	`prod-diff`
22×	`add-cube-cbrt`
14×	`pow1`
10×	`log-pow`
8×	`fma-neg`
6×	`log-prod` `associate--l+` `add-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--`
2×	`sub-neg` `flip3--` `diff-log` `fma-udef` `flip--` `difference-of-squares`

Counts

4 → 96

Calls

4 calls:

14.0ms	(- (log z) t)
14.0ms	(- (log z) t)
0.0ms	(fma y (- (log z) t) (- (* (log 1.0) a) (* a (fma 1.0 z b))))
1.0ms	(fma y (- (log z) t) (- (* (log 1.0) a) (* a (fma 1.0 z b))))

series612.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(- (log z) t)
71.0ms	(- (log z) t)
198.0ms	(fma y (- (log z) t) (- (* (log 1.0) a) (* a (fma 1.0 z b))))
234.0ms	(fma y (- (log z) t) (- (* (log 1.0) a) (* a (fma 1.0 z b))))

simplify3.2s

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
4	4727
3	1408
2	468
1	219
0	105

prune985.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize98.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma y (- (log z) t) (- (* (log 1.0) a) (* a (fma 1.0 z b))))
0.1b	(* (* (fma y (- (log z) t) (- (* (log 1.0) a) (* a (fma 1.0 z b)))) (fma y (- (log z) t) (- (* (log 1.0) a) (* a (fma 1.0 z b))))) (fma y (- (log z) t) (- (* (log 1.0) a) (* a (fma 1.0 z b)))))
0.3b	(* (fma y (- (log z) t) (- (* (log 1.0) a) (* a (fma 1.0 z b)))) (fma y (- (log z) t) (- (* (log 1.0) a) (* a (fma 1.0 z b)))))
27.4b	(cbrt (* (* (fma y (- (log z) t) (- (* (log 1.0) a) (* a (fma 1.0 z b)))) (fma y (- (log z) t) (- (* (log 1.0) a) (* a (fma 1.0 z b))))) (fma y (- (log z) t) (- (* (log 1.0) a) (* a (fma 1.0 z b))))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1`
12×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow-plus` `pow-prod-up`
6×	`associate-r`
5×	`fma-udef`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow2` `swap-sqr` `pow-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `pow3` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `pow1/3` `rem-cbrt-cube`

Counts

4 → 87

Calls

4 calls:

0.0ms	(fma y (- (log z) t) (- (* (log 1.0) a) (* a (fma 1.0 z b))))
21.0ms	(* (* (fma y (- (log z) t) (- (* (log 1.0) a) (* a (fma 1.0 z b)))) (fma y (- (log z) t) (- (* (log 1.0) a) (* a (fma 1.0 z b))))) (fma y (- (log z) t) (- (* (log 1.0) a) (* a (fma 1.0 z b)))))
10.0ms	(* (fma y (- (log z) t) (- (* (log 1.0) a) (* a (fma 1.0 z b)))) (fma y (- (log z) t) (- (* (log 1.0) a) (* a (fma 1.0 z b)))))
17.0ms	(cbrt (* (* (fma y (- (log z) t) (- (* (log 1.0) a) (* a (fma 1.0 z b)))) (fma y (- (log z) t) (- (* (log 1.0) a) (* a (fma 1.0 z b))))) (fma y (- (log z) t) (- (* (log 1.0) a) (* a (fma 1.0 z b))))))

series9.2s

Counts

4 → 12

Calls

4 calls:

184.0ms	(fma y (- (log z) t) (- (* (log 1.0) a) (* a (fma 1.0 z b))))
7.6s	(* (* (fma y (- (log z) t) (- (* (log 1.0) a) (* a (fma 1.0 z b)))) (fma y (- (log z) t) (- (* (log 1.0) a) (* a (fma 1.0 z b))))) (fma y (- (log z) t) (- (* (log 1.0) a) (* a (fma 1.0 z b)))))
1.2s	(* (fma y (- (log z) t) (- (* (log 1.0) a) (* a (fma 1.0 z b)))) (fma y (- (log z) t) (- (* (log 1.0) a) (* a (fma 1.0 z b)))))
226.0ms	(cbrt (* (* (fma y (- (log z) t) (- (* (log 1.0) a) (* a (fma 1.0 z b)))) (fma y (- (log z) t) (- (* (log 1.0) a) (* a (fma 1.0 z b))))) (fma y (- (log z) t) (- (* (log 1.0) a) (* a (fma 1.0 z b))))))

simplify2.3s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
3	3942
2	1011
1	333
0	134

prune832.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes296.0ms

Accuracy

0% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	20
1	20
0	17

end0.0ms

sample15.4s

Algorithm

intervals

Results

8.5s	40585×	body	80	nan
3.0s	12490×	body	80	valid
337.0ms	362×	body	640	valid
229.0ms	409×	body	320	valid
159.0ms	269×	body	160	valid
88.0ms	65×	body	1280	valid