Details

sample174.0ms

Algorithm

intervals

Results

67.0ms	782×	body	80	nan
15.0ms	187×	body	80	valid
11.0ms	11×	body	1280	valid
11.0ms	26×	body	640	valid
5.0ms	19×	body	320	valid
5.0ms	16×	body	160	valid

simplify845.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
8	769
7	237
6	112
5	77
4	60
3	52
2	38
1	22
0	12

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.7b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.0b	(* z (log (- 1.0 y)))
0.3b	(* x (log y))
6.2b	(log (- 1.0 y))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

50.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
16.0ms	(* z (log (- 1.0 y)))
7.0ms	(* x (log y))
5.0ms	(log (- 1.0 y))

series379.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
97.0ms	(* z (log (- 1.0 y)))
50.0ms	(* x (log y))
67.0ms	(log (- 1.0 y))

simplify995.0ms

Counts

118 → 118

Iterations

Iter	Nodes
done	5000
2	1828
1	565
0	241

prune738.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/2 (pow y 2))
0.0b	(- (+ (* x (log y)) (- (* z (log 1.0)) (fma y (* 1.0 z) (* (/ (* 1/2 (pow y 2)) 1.0) (/ z 1.0))))) t)
0.3b	(* x (log y))
7.3b	(* (/ (* 1/2 (pow y 2)) 1.0) (/ z 1.0))

rewrite241.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-exp-log`
42×	`add-sqr-sqrt`
29×	`*-un-lft-identity` `add-cbrt-cube`
27×	`add-cube-cbrt`
25×	`associate-r`
20×	`prod-exp`
13×	`times-frac` `div-exp` `associate-l` `add-log-exp`
10×	`cbrt-unprod`
9×	`pow1` `prod-diff`
7×	`cbrt-undiv` `unswap-sqr`
6×	`log-prod`
4×	`expm1-log1p-u` `unpow-prod-down` `diff-log` `log1p-expm1-u`
3×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `fma-neg` `pow-exp` `*-commutative`
2×	`sum-log` `pow-prod-down` `div-inv` `unpow2` `sqr-pow`
1×	`associate--l-` `frac-times` `associate-+r-` `sub-neg` `flip3--` `associate-l/` `associate--l+` `associate-r/` `log-pow` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 140

Calls

4 calls:

9.0ms	(* 1/2 (pow y 2))
186.0ms	(- (+ (* x (log y)) (- (* z (log 1.0)) (fma y (* 1.0 z) (* (/ (* 1/2 (pow y 2)) 1.0) (/ z 1.0))))) t)
15.0ms	(* x (log y))
25.0ms	(* (/ (* 1/2 (pow y 2)) 1.0) (/ z 1.0))

series346.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* 1/2 (pow y 2))
227.0ms	(- (+ (* x (log y)) (- (* z (log 1.0)) (fma y (* 1.0 z) (* (/ (* 1/2 (pow y 2)) 1.0) (/ z 1.0))))) t)
50.0ms	(* x (log y))
28.0ms	(* (/ (* 1/2 (pow y 2)) 1.0) (/ z 1.0))

simplify2.2s

Counts

152 → 152

Iterations

Iter	Nodes
done	5002
2	3788
1	731
0	280

prune1.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ 1.0 y) y)
0.3b	(* x (log y))
0.7b	(/ 1/2 (/ (/ 1.0 y) y))
1.4b	(fma (/ z 1.0) (/ 1/2 (/ (/ 1.0 y) y)) t)

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

468×	`times-frac`
236×	`add-sqr-sqrt`
234×	`*-un-lft-identity` `add-cube-cbrt`
46×	`associate-/r*`
22×	`div-inv`
20×	`add-cbrt-cube` `add-exp-log`
16×	`associate-/l*`
9×	`cbrt-undiv` `div-exp`
7×	`pow1`
6×	`log-prod`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `associate-l`
2×	`clear-num` `frac-2neg`
1×	`pow-prod-down` `prod-exp` `associate-/r/` `log-pow` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr` `associate-/l/`

Counts

4 → 303

Calls

4 calls:

15.0ms	(/ (/ 1.0 y) y)
8.0ms	(* x (log y))
14.0ms	(/ 1/2 (/ (/ 1.0 y) y))
0.0ms	(fma (/ z 1.0) (/ 1/2 (/ (/ 1.0 y) y)) t)

series254.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ (/ 1.0 y) y)
50.0ms	(* x (log y))
55.0ms	(/ 1/2 (/ (/ 1.0 y) y))
107.0ms	(fma (/ z 1.0) (/ 1/2 (/ (/ 1.0 y) y)) t)

simplify906.0ms

Counts

315 → 315

Iterations

Iter	Nodes
done	5001
1	1458
0	523

prune2.9s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (fma z (log 1.0) (- (fma (* y 1.0) z (/ (* 1/2 (/ z 1.0)) (/ (/ 1.0 y) y))))) t)
0.1b	(fma (log y) x (- (fma z (log 1.0) (- (fma (* y 1.0) z (/ (* 1/2 (/ z 1.0)) (/ (/ 1.0 y) y))))) t))
0.2b	(/ (/ 1.0 y) y)
7.3b	(/ (* 1/2 (/ z 1.0)) (/ (/ 1.0 y) y))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

250×	`times-frac`
125×	`add-sqr-sqrt` `*-un-lft-identity`
123×	`add-cube-cbrt`
46×	`associate-/r*`
45×	`add-cbrt-cube` `add-exp-log`
24×	`cbrt-undiv` `div-exp`
14×	`div-inv` `associate-/l*`
9×	`prod-diff`
6×	`prod-exp` `cbrt-unprod` `add-log-exp`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
3×	`fma-neg`
2×	`clear-num` `frac-2neg` `fma-udef` `associate-/l/`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `associate-*r/` `associate-/r/` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 230

Calls

4 calls:

5.0ms	(- (fma z (log 1.0) (- (fma (* y 1.0) z (/ (* 1/2 (/ z 1.0)) (/ (/ 1.0 y) y))))) t)
0.0ms	(fma (log y) x (- (fma z (log 1.0) (- (fma (* y 1.0) z (/ (* 1/2 (/ z 1.0)) (/ (/ 1.0 y) y))))) t))
9.0ms	(/ (/ 1.0 y) y)
20.0ms	(/ (* 1/2 (/ z 1.0)) (/ (/ 1.0 y) y))

series477.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(- (fma z (log 1.0) (- (fma (* y 1.0) z (/ (* 1/2 (/ z 1.0)) (/ (/ 1.0 y) y))))) t)
237.0ms	(fma (log y) x (- (fma z (log 1.0) (- (fma (* y 1.0) z (/ (* 1/2 (/ z 1.0)) (/ (/ 1.0 y) y))))) t))
49.0ms	(/ (/ 1.0 y) y)
41.0ms	(/ (* 1/2 (/ z 1.0)) (/ (/ 1.0 y) y))

simplify688.0ms

Counts

242 → 242

Iterations

Iter	Nodes
done	5001
1	1243
0	408

prune2.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes403.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	27
2	27
1	26
0	21

end0.0ms

sample6.9s

Algorithm

intervals

Results

2.5s	24066×	body	80	nan
969.0ms	5572×	body	80	valid
515.0ms	471×	body	160	valid
489.0ms	879×	body	640	valid
355.0ms	385×	body	1280	valid
242.0ms	730×	body	320	valid