Details

sample438.0ms

Algorithm

intervals

Results

197.0ms	1488×	body	80	nan
45.0ms	403×	body	80	valid
11.0ms	19×	body	640	valid
5.0ms	4×	body	1280	valid
4.0ms	10×	body	320	valid
3.0ms	13×	body	160	valid

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	17	18
1	31	17
2	62	17
3	135	17
4	335	17
5	1091	17
done	5000	17

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.0b

localize32.0ms

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)))) x)
0.1b	(fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))
5.2b	(log (- 1.0 z))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 112

Calls

4 calls:

70.0ms	(* a (- (log (- 1.0 z)) b))
25.0ms	(* (exp (fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))) x)
1.0ms	(fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))
12.0ms	(log (- 1.0 z))

series823.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* a (- (log (- 1.0 z)) b))
407.0ms	(* (exp (fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))) x)
253.0ms	(fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))
63.0ms	(log (- 1.0 z))

simplify2.5s

Counts

124 → 124

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	265	2242
1	562	1967
2	1369	1671
3	4106	1574
done	5000	1572

prune477.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite246.0ms

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:

195.0ms	(* a (- (- (log 1.0) b) (* 1.0 z)))
34.0ms	(* (exp (fma y (- (log z) t) (* a (- (- (log 1.0) b) (* 1.0 z))))) x)
4.0ms	(exp (fma y (- (log z) t) (* a (- (- (log 1.0) b) (* 1.0 z)))))
1.0ms	(fma y (- (log z) t) (* a (- (- (log 1.0) b) (* 1.0 z))))

series670.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* a (- (- (log 1.0) b) (* 1.0 z)))
263.0ms	(* (exp (fma y (- (log z) t) (* a (- (- (log 1.0) b) (* 1.0 z))))) x)
134.0ms	(exp (fma y (- (log z) t) (* a (- (- (log 1.0) b) (* 1.0 z)))))
195.0ms	(fma y (- (log z) t) (* a (- (- (log 1.0) b) (* 1.0 z))))

simplify3.0s

Counts

129 → 129

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	237	2776
1	454	2442
2	1142	2074
3	4521	1982
done	5000	1982

prune713.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite287.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 132

Calls

4 calls:

233.0ms	(* a (- (- (log 1.0) b) (* 1.0 z)))
34.0ms	(* (pow E (fma y (- (log z) t) (* a (- (- (log 1.0) b) (* 1.0 z))))) x)
6.0ms	(pow E (fma y (- (log z) t) (* a (- (- (log 1.0) b) (* 1.0 z)))))
1.0ms	(fma y (- (log z) t) (* a (- (- (log 1.0) b) (* 1.0 z))))

series828.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* a (- (- (log 1.0) b) (* 1.0 z)))
261.0ms	(* (pow E (fma y (- (log z) t) (* a (- (- (log 1.0) b) (* 1.0 z))))) x)
229.0ms	(pow E (fma y (- (log z) t) (* a (- (- (log 1.0) b) (* 1.0 z)))))
259.0ms	(fma y (- (log z) t) (* a (- (- (log 1.0) b) (* 1.0 z))))

simplify1.2s

Counts

144 → 144

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	260	3269
1	508	2828
2	1327	2470
done	5000	2375

prune712.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (sqrt E) (fma y (- (log z) t) (* a (- (log 1.0) (fma 1.0 z b)))))
0.0b	(* (pow (sqrt E) (fma y (- (log z) t) (* a (- (- (log 1.0) b) (* 1.0 z))))) (* (pow (sqrt E) (fma y (- (log z) t) (* a (- (log 1.0) (fma 1.0 z b))))) x))
0.1b	(fma y (- (log z) t) (* a (- (log 1.0) (fma 1.0 z b))))
0.1b	(fma y (- (log z) t) (* a (- (- (log 1.0) b) (* 1.0 z))))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log`
21×	`prod-exp`
12×	`unpow-prod-down`
11×	`associate-l`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`add-cbrt-cube`
8×	`pow-to-exp` `pow-exp`
6×	`pow1` `sqrt-prod`
4×	`expm1-log1p-u` `fma-udef` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow-pow` `cbrt-unprod`
2×	`unpow-prod-up` `sqr-pow`
1×	`sqrt-pow1` `pow1/2` `associate-r` `*-commutative` `sqrt-pow2`

Counts

4 → 82

Calls

4 calls:

6.0ms	(pow (sqrt E) (fma y (- (log z) t) (* a (- (log 1.0) (fma 1.0 z b)))))
57.0ms	(* (pow (sqrt E) (fma y (- (log z) t) (* a (- (- (log 1.0) b) (* 1.0 z))))) (* (pow (sqrt E) (fma y (- (log z) t) (* a (- (log 1.0) (fma 1.0 z b))))) x))
1.0ms	(fma y (- (log z) t) (* a (- (log 1.0) (fma 1.0 z b))))
1.0ms	(fma y (- (log z) t) (* a (- (- (log 1.0) b) (* 1.0 z))))

series1.8s

Counts

4 → 12

Calls

4 calls:

335.0ms	(pow (sqrt E) (fma y (- (log z) t) (* a (- (log 1.0) (fma 1.0 z b)))))
976.0ms	(* (pow (sqrt E) (fma y (- (log z) t) (* a (- (- (log 1.0) b) (* 1.0 z))))) (* (pow (sqrt E) (fma y (- (log z) t) (* a (- (log 1.0) (fma 1.0 z b))))) x))
223.0ms	(fma y (- (log z) t) (* a (- (log 1.0) (fma 1.0 z b))))
232.0ms	(fma y (- (log z) t) (* a (- (- (log 1.0) b) (* 1.0 z))))

simplify2.8s

Counts

94 → 94

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	162	3027
1	389	2821
2	1216	2081
3	4543	2040
done	5000	2040

prune698.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

regimes356.0ms

Accuracy

0% (0.0b remaining)

Error of 0.3b against oracle of 0.2b and baseline of 0.3b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	41
1	37	41
done	37	41

end0.0ms

sample13.7s

Algorithm

intervals

Results

7.0s	41075×	body	80	nan
1.8s	12533×	body	80	valid
235.0ms	362×	body	640	valid
178.0ms	413×	body	320	valid
75.0ms	65×	body	1280	valid
58.0ms	268×	body	160	valid