Details

sample175.0ms

Algorithm

intervals

Results

71.0ms	1294×	body	80	nan
24.0ms	393×	body	80	valid
5.0ms	13×	body	640	valid
2.0ms	11×	body	320	valid
1.0ms	9×	body	160	valid
1.0ms	1×	body	1280	valid

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	17	18
1	31	17
2	62	17
3	119	17
4	306	17
5	1037	17
6	4821	17
done	5000	17

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (- (log (- 1.0 z)) b))
0.0b	(exp (fma y (- (log z) t) (* a (- (log (- 1.0 z)) b))))
0.6b	(fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))
6.8b	(log (- 1.0 z))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
24×	`add-cube-cbrt` `prod-diff`
19×	`distribute-rgt-in` `distribute-lft-in`
15×	`log-prod`
14×	`pow1`
10×	`associate--l+`
8×	`log-pow`
7×	`add-exp-log`
6×	`associate-r` `add-cbrt-cube`
5×	`distribute-lft-out--` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `difference-of-squares`
3×	`exp-prod` `associate-l`
2×	`sub-neg` `log-div` `flip3--` `associate-*r/` `flip--` `fma-udef`
1×	`rem-log-exp` `exp-sum` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `rem-exp-log` `unswap-sqr`

Counts

4 → 105

Calls

4 calls:

18.0ms	(* a (- (log (- 1.0 z)) b))
1.0ms	(exp (fma y (- (log z) t) (* a (- (log (- 1.0 z)) b))))
0.0ms	(fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))

series472.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* a (- (log (- 1.0 z)) b))
148.0ms	(exp (fma y (- (log z) t) (* a (- (log (- 1.0 z)) b))))
198.0ms	(fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))
52.0ms	(log (- 1.0 z))

simplify673.0ms

Counts

117 → 117

Iterations

Useful iterations: done (670.0ms)

Iter	Nodes	Cost
0	247	2045
1	519	1768
2	1554	1486
done	5001	1431

prune377.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp (fma y (- (log z) t) (* a (- (- (log 1.0) b) (* 1.0 z))))) x)
0.0b	(exp (fma y (- (log z) t) (* a (- (- (log 1.0) b) (* 1.0 z)))))
0.0b	(* a (- (- (log 1.0) b) (* 1.0 z)))
0.6b	(fma y (- (log z) t) (* a (- (- (log 1.0) b) (* 1.0 z))))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

40×	`associate--l+`
36×	`prod-diff`
35×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
27×	`add-cube-cbrt`
25×	`distribute-rgt-in` `distribute-lft-in`
16×	`pow1`
8×	`log-pow` `add-cbrt-cube`
7×	`add-exp-log` `associate-l`
6×	`log-prod` `associate-r`
5×	`add-log-exp`
4×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u` `distribute-lft-out--`
3×	`exp-prod` `fma-udef`
2×	`associate-r/` `exp-sum` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
1×	`flip3--` `flip--` `rem-exp-log`

Counts

4 → 117

Calls

4 calls:

6.0ms	(* (exp (fma y (- (log z) t) (* a (- (- (log 1.0) b) (* 1.0 z))))) x)
1.0ms	(exp (fma y (- (log z) t) (* a (- (- (log 1.0) b) (* 1.0 z)))))
58.0ms	(* a (- (- (log 1.0) b) (* 1.0 z)))
0.0ms	(fma y (- (log z) t) (* a (- (- (log 1.0) b) (* 1.0 z))))

series582.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(* (exp (fma y (- (log z) t) (* a (- (- (log 1.0) b) (* 1.0 z))))) x)
124.0ms	(exp (fma y (- (log z) t) (* a (- (- (log 1.0) b) (* 1.0 z)))))
75.0ms	(* a (- (- (log 1.0) b) (* 1.0 z)))
165.0ms	(fma y (- (log z) t) (* a (- (- (log 1.0) b) (* 1.0 z))))

simplify812.0ms

Counts

129 → 129

Iterations

Useful iterations: done (807.0ms)

Iter	Nodes	Cost
0	237	2776
1	449	2442
2	1371	2054
done	5000	1933

prune409.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.0b	(exp (fma y (- (log z) t) (* (- (log 1.0) (fma 1.0 z b)) a)))
0.0b	(* (- (log 1.0) (fma 1.0 z b)) a)
0.6b	(fma y (- (log z) t) (* (- (log 1.0) (fma 1.0 z b)) a))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

4.0ms	(- (log z) t)
1.0ms	(exp (fma y (- (log z) t) (* (- (log 1.0) (fma 1.0 z b)) a)))
13.0ms	(* (- (log 1.0) (fma 1.0 z b)) a)
0.0ms	(fma y (- (log z) t) (* (- (log 1.0) (fma 1.0 z b)) a))

series419.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(- (log z) t)
133.0ms	(exp (fma y (- (log z) t) (* (- (log 1.0) (fma 1.0 z b)) a)))
68.0ms	(* (- (log 1.0) (fma 1.0 z b)) a)
154.0ms	(fma y (- (log z) t) (* (- (log 1.0) (fma 1.0 z b)) a))

simplify1.6s

Counts

97 → 97

Iterations

Useful iterations: 3 (707.0ms)

Iter	Nodes	Cost
0	161	1368
1	323	1239
2	851	1051
3	3251	1011
done	5000	1011

prune345.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (exp (fma y (- (log z) t) (* (- (log 1.0) (fma 1.0 z b)) a)))) (cbrt (exp (fma y (- (log z) t) (* (- (log 1.0) (fma 1.0 z b)) a)))))
0.6b	(fma y (- (log z) t) (* (- (log 1.0) (fma 1.0 z b)) a))
0.6b	(fma y (- (log z) t) (* (- (log 1.0) (fma 1.0 z b)) a))
0.6b	(fma y (- (log z) t) (* (- (log 1.0) (fma 1.0 z b)) a))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod` `add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
7×	`swap-sqr` `associate-r` `associate-l` `fma-udef`
6×	`add-exp-log` `pow1/3`
4×	`expm1-log1p-u` `exp-sum` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 75

Calls

4 calls:

9.0ms	(* (cbrt (exp (fma y (- (log z) t) (* (- (log 1.0) (fma 1.0 z b)) a)))) (cbrt (exp (fma y (- (log z) t) (* (- (log 1.0) (fma 1.0 z b)) a)))))
0.0ms	(fma y (- (log z) t) (* (- (log 1.0) (fma 1.0 z b)) a))
0.0ms	(fma y (- (log z) t) (* (- (log 1.0) (fma 1.0 z b)) a))
0.0ms	(fma y (- (log z) t) (* (- (log 1.0) (fma 1.0 z b)) a))

series819.0ms

Counts

4 → 12

Calls

4 calls:

350.0ms	(* (cbrt (exp (fma y (- (log z) t) (* (- (log 1.0) (fma 1.0 z b)) a)))) (cbrt (exp (fma y (- (log z) t) (* (- (log 1.0) (fma 1.0 z b)) a)))))
156.0ms	(fma y (- (log z) t) (* (- (log 1.0) (fma 1.0 z b)) a))
159.0ms	(fma y (- (log z) t) (* (- (log 1.0) (fma 1.0 z b)) a))
154.0ms	(fma y (- (log z) t) (* (- (log 1.0) (fma 1.0 z b)) a))

simplify1.2s

Counts

87 → 87

Iterations

Useful iterations: 3 (291.0ms)

Iter	Nodes	Cost
0	95	2630
1	180	2411
2	493	2179
3	1930	1864
done	5000	1864

prune440.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes192.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	18
1	18	18
done	18	18

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.2s	40731×	body	80	nan
763.0ms	12420×	body	80	valid
137.0ms	395×	body	640	valid
83.0ms	383×	body	320	valid
52.0ms	73×	body	1280	valid
39.0ms	297×	body	160	valid