Details

sample135.0ms

Algorithm

intervals

Results

58.0ms	784×	body	80	nan
12.0ms	185×	body	80	valid
12.0ms	33×	body	640	valid
5.0ms	21×	body	320	valid
5.0ms	7×	body	1280	valid
2.0ms	13×	body	160	valid

simplify2.9s

Counts

1 → 1

Iterations

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.2b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (fma (log (- 1.0 y)) (- z 1.0) (* (log y) (- x 1.0))) t)
0.1b	(* (log y) (- x 1.0))
6.8b	(log (- 1.0 y))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 94

Calls

3 calls:

9.0ms	(- (fma (log (- 1.0 y)) (- z 1.0) (* (log y) (- x 1.0))) t)
19.0ms	(* (log y) (- x 1.0))
5.0ms	(log (- 1.0 y))

series481.0ms

Counts

3 → 9

Calls

3 calls:

254.0ms	(- (fma (log (- 1.0 y)) (- z 1.0) (* (log y) (- x 1.0))) t)
161.0ms	(* (log y) (- x 1.0))
66.0ms	(log (- 1.0 y))

simplify2.0s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	2319
1	576
0	244

prune678.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize52.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 76

Calls

2 calls:

5.0ms	(- (fma (- (log 1.0) (fma 1.0 y (* (/ 1/2 1.0) (/ (* y y) 1.0)))) (- z 1.0) (* (log y) (- x 1.0))) t)
30.0ms	(* (log y) (- x 1.0))

series355.0ms

Counts

2 → 6

Calls

2 calls:

212.0ms	(- (fma (- (log 1.0) (fma 1.0 y (* (/ 1/2 1.0) (/ (* y y) 1.0)))) (- z 1.0) (* (log y) (- x 1.0))) t)
142.0ms	(* (log y) (- x 1.0))

simplify1.3s

Counts

82 → 82

Iterations

Iter	Nodes
done	5001
2	1840
1	468
0	200

prune583.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize58.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ 1.0 (/ (* y y) 1.0))
0.1b	(fma (log y) (- x 1.0) (- t))
0.7b	(/ 1/2 (/ 1.0 (/ (* y y) 1.0)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

231×	`times-frac`
102×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
33×	`associate-/r*`
26×	`add-cbrt-cube` `add-exp-log`
22×	`div-inv`
14×	`cbrt-undiv` `div-exp`
6×	`associate-/r/` `associate-/l*`
3×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod`
1×	`fma-udef`

Counts

3 → 188

Calls

3 calls:

13.0ms	(/ 1.0 (/ (* y y) 1.0))
0.0ms	(fma (log y) (- x 1.0) (- t))
19.0ms	(/ 1/2 (/ 1.0 (/ (* y y) 1.0)))

series168.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ 1.0 (/ (* y y) 1.0))
100.0ms	(fma (log y) (- x 1.0) (- t))
41.0ms	(/ 1/2 (/ 1.0 (/ (* y y) 1.0)))

simplify556.0ms

Counts

197 → 197

Iterations

Iter	Nodes
done	5000
1	968
0	341

prune2.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 1.0 (log y) t)
0.1b	(/ 1.0 (/ (* y y) 1.0))
0.1b	(fma (log y) x (- (fma 1.0 (log y) t)))
0.7b	(/ 1/2 (/ 1.0 (/ (* y y) 1.0)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

231×	`times-frac`
103×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
33×	`associate-/r*`
27×	`add-cbrt-cube` `add-exp-log`
22×	`div-inv`
14×	`cbrt-undiv` `div-exp`
6×	`associate-/r/` `associate-/l*`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `fma-udef`

Counts

4 → 198

Calls

4 calls:

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

series675.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(fma 1.0 (log y) t)
31.0ms	(/ 1.0 (/ (* y y) 1.0))
487.0ms	(fma (log y) x (- (fma 1.0 (log y) t)))
49.0ms	(/ 1/2 (/ 1.0 (/ (* y y) 1.0)))

simplify545.0ms

Counts

210 → 210

Iterations

Iter	Nodes
done	5000
1	986
0	353

prune2.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

regimes709.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	25
2	25
1	24
0	21

end0.0ms

sample6.5s

Algorithm

intervals

Results

3.4s	23912×	body	80	nan
701.0ms	5835×	body	80	valid
445.0ms	790×	body	640	valid
316.0ms	704×	body	320	valid
246.0ms	259×	body	1280	valid
88.0ms	451×	body	160	valid