Details

sample194.0ms

Algorithm

intervals

Results

91.0ms	885×	body	80	nan
16.0ms	200×	body	80	valid
8.0ms	10×	body	1280	valid
8.0ms	17×	body	640	valid
4.0ms	19×	body	320	valid
2.0ms	11×	body	160	valid

simplify3.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4417
5	1388
4	401
3	135
2	57
1	27
0	14

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.0b	(* (- z 1.0) (log (- 1.0 y)))
0.1b	(* (- x 1.0) (log y))
5.4b	(log (- 1.0 y))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
21×	`log-prod`
20×	`add-cube-cbrt`
11×	`pow1`
10×	`associate-l`
9×	`prod-diff` `add-exp-log` `add-log-exp`
8×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `associate-r`
6×	`distribute-lft-out--` `difference-of-squares`
4×	`expm1-log1p-u` `flip3--` `associate-*l/` `log1p-expm1-u` `flip--`
3×	`fma-neg` `log-pow`
2×	`log-div` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sum-log` `sub-neg` `rem-log-exp` `associate--l+`

Counts

4 → 114

Calls

4 calls:

91.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
31.0ms	(* (- z 1.0) (log (- 1.0 y)))
23.0ms	(* (- x 1.0) (log y))
6.0ms	(log (- 1.0 y))

series431.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
72.0ms	(* (- z 1.0) (log (- 1.0 y)))
72.0ms	(* (- x 1.0) (log y))
61.0ms	(log (- 1.0 y))

simplify1.5s

Counts

126 → 126

Iterations

Iter	Nodes
done	5001
2	2495
1	633
0	263

prune917.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (fma (/ (pow y 2) (* 1.0 1.0)) 1/2 (* 1.0 y))))) t)
0.0b	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (fma (/ (pow y 2) (* 1.0 1.0)) 1/2 (* 1.0 y)))))
0.0b	(* (- z 1.0) (- (log 1.0) (fma (/ (pow y 2) (* 1.0 1.0)) 1/2 (* 1.0 y))))
0.1b	(* (- x 1.0) (log y))

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
57×	`prod-diff`
51×	`add-cube-cbrt`
40×	`distribute-rgt-in` `distribute-lft-in`
34×	`associate-+r+`
28×	`flip3--` `flip--`
24×	`log-prod` `associate-*l/`
22×	`pow1`
16×	`frac-add`
14×	`log-pow`
13×	`associate--l+`
12×	`frac-times`
11×	`add-log-exp`
10×	`associate-r` `associate-l`
8×	`add-cbrt-cube` `add-exp-log`
6×	`associate-+l+` `associate-*r/`
5×	`sub-neg` `distribute-lft-out--`
4×	`expm1-log1p-u` `log1p-expm1-u` `difference-of-squares`
3×	`fma-neg`
2×	`sum-log` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `fma-def` `flip3-+` `flip-+`

Counts

4 → 198

Calls

4 calls:

102.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (fma (/ (pow y 2) (* 1.0 1.0)) 1/2 (* 1.0 y))))) t)
37.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (fma (/ (pow y 2) (* 1.0 1.0)) 1/2 (* 1.0 y)))))
44.0ms	(* (- z 1.0) (- (log 1.0) (fma (/ (pow y 2) (* 1.0 1.0)) 1/2 (* 1.0 y))))
23.0ms	(* (- x 1.0) (log y))

series699.0ms

Counts

4 → 12

Calls

4 calls:

349.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (fma (/ (pow y 2) (* 1.0 1.0)) 1/2 (* 1.0 y))))) t)
183.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (fma (/ (pow y 2) (* 1.0 1.0)) 1/2 (* 1.0 y)))))
76.0ms	(* (- z 1.0) (- (log 1.0) (fma (/ (pow y 2) (* 1.0 1.0)) 1/2 (* 1.0 y))))
91.0ms	(* (- x 1.0) (log y))

simplify562.0ms

Counts

210 → 210

Iterations

Iter	Nodes
done	5001
1	1167
0	413

prune1.6s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (* z y) 1.0 (* (* (* y y) z) 0.5))
0.0b	(+ (* (- x 1.0) (log y)) (- (* (* y y) 0.5) (fma (* z y) 1.0 (* (* (* y y) z) 0.5))))
0.1b	(* (- x 1.0) (log y))
7.4b	(* (* y y) z)

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

0.0ms	(fma (* z y) 1.0 (* (* (* y y) z) 0.5))
77.0ms	(+ (* (- x 1.0) (log y)) (- (* (* y y) 0.5) (fma (* z y) 1.0 (* (* (* y y) z) 0.5))))
29.0ms	(* (- x 1.0) (log y))
29.0ms	(* (* y y) z)

series346.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(fma (* z y) 1.0 (* (* (* y y) z) 0.5))
119.0ms	(+ (* (- x 1.0) (log y)) (- (* (* y y) 0.5) (fma (* z y) 1.0 (* (* (* y y) z) 0.5))))
81.0ms	(* (- x 1.0) (log y))
31.0ms	(* (* y y) z)

simplify1.3s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
2	3419
1	614
0	213

prune794.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- z 1.0)) (cbrt (- z 1.0)))
0.3b	(cbrt (- z 1.0))
0.3b	(cbrt (- z 1.0))
0.3b	(cbrt (- z 1.0))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

46.0ms	(* (cbrt (- z 1.0)) (cbrt (- z 1.0)))
3.0ms	(cbrt (- z 1.0))
3.0ms	(cbrt (- z 1.0))
3.0ms	(cbrt (- z 1.0))

series564.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(* (cbrt (- z 1.0)) (cbrt (- z 1.0)))
143.0ms	(cbrt (- z 1.0))
110.0ms	(cbrt (- z 1.0))
147.0ms	(cbrt (- z 1.0))

simplify789.0ms

Counts

121 → 121

Iterations

Iter	Nodes
done	5000
2	1541
1	412
0	171

prune1.3s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes710.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	30
1	30
0	23

end0.0ms

sample7.5s

Algorithm

intervals

Results

3.4s	24083×	body	80	nan
1.1s	5794×	body	80	valid
400.0ms	770×	body	640	valid
276.0ms	736×	body	320	valid
254.0ms	268×	body	1280	valid
94.0ms	459×	body	160	valid