Details

sample225.0ms

Algorithm

intervals

Results

100.0ms	782×	body	80	nan
19.0ms	194×	body	80	valid
11.0ms	24×	body	640	valid
9.0ms	8×	body	1280	valid
6.0ms	16×	body	320	valid
3.0ms	17×	body	160	valid

simplify3.0s

Counts

1 → 1

Iterations

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

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (fma (log (- 1.0 y)) (- z 1.0) (* (log y) (- x 1.0))) t)
0.0b	(fma (log (- 1.0 y)) (- z 1.0) (* (log y) (- x 1.0)))
0.1b	(* (log y) (- x 1.0))
6.2b	(log (- 1.0 y))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

10.0ms	(- (fma (log (- 1.0 y)) (- z 1.0) (* (log y) (- x 1.0))) t)
0.0ms	(fma (log (- 1.0 y)) (- z 1.0) (* (log y) (- x 1.0)))
45.0ms	(* (log y) (- x 1.0))
11.0ms	(log (- 1.0 y))

series633.0ms

Counts

4 → 12

Calls

4 calls:

240.0ms	(- (fma (log (- 1.0 y)) (- z 1.0) (* (log y) (- x 1.0))) t)
184.0ms	(fma (log (- 1.0 y)) (- z 1.0) (* (log y) (- x 1.0)))
131.0ms	(* (log y) (- x 1.0))
78.0ms	(log (- 1.0 y))

simplify1.9s

Counts

116 → 116

Iterations

Iter	Nodes
done	5001
2	2395
1	609
0	257

prune757.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b

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

0.0b

(fma (- (log 1.0) (fma (/ 1/2 1.0) (/ (* y y) 1.0) (* 1.0 y))) (- z 1.0) (* (log y) (- x 1.0)))

0.1b

(* (log y) (- x 1.0))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 86

Calls

3 calls:

5.0ms

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

0.0ms

(fma (- (log 1.0) (fma (/ 1/2 1.0) (/ (* y y) 1.0) (* 1.0 y))) (- z 1.0) (* (log y) (- x 1.0)))

31.0ms

(* (log y) (- x 1.0))

series513.0ms

Counts

3 → 9

Calls

3 calls:

219.0ms

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

161.0ms

(fma (- (log 1.0) (fma (/ 1/2 1.0) (/ (* y y) 1.0) (* 1.0 y))) (- z 1.0) (* (log y) (- x 1.0)))

133.0ms

(* (log y) (- x 1.0))

simplify1.2s

Counts

95 → 95

Iterations

Iter	Nodes
done	5000
2	1836
1	467
0	204

prune625.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

5.0ms	(- (fma (- (log 1.0) (fma (/ 1/2 1.0) (/ (* y y) 1.0) (* 1.0 y))) (- z 1.0) (+ (* (log y) x) (* (- 1.0) (log y)))) t)
7.0ms	(+ (* (log y) x) (* (- 1.0) (log y)))
0.0ms	(fma (- (log 1.0) (fma (/ 1/2 1.0) (/ (* y y) 1.0) (* 1.0 y))) (- z 1.0) (+ (* (log y) x) (* (- 1.0) (log y))))
9.0ms	(* (log y) x)

series681.0ms

Counts

4 → 12

Calls

4 calls:

234.0ms	(- (fma (- (log 1.0) (fma (/ 1/2 1.0) (/ (* y y) 1.0) (* 1.0 y))) (- z 1.0) (+ (* (log y) x) (* (- 1.0) (log y)))) t)
213.0ms	(+ (* (log y) x) (* (- 1.0) (log y)))
143.0ms	(fma (- (log 1.0) (fma (/ 1/2 1.0) (/ (* y y) 1.0) (* 1.0 y))) (- z 1.0) (+ (* (log y) x) (* (- 1.0) (log y))))
92.0ms	(* (log y) x)

simplify1.3s

Counts

94 → 94

Iterations

Iter	Nodes
done	5002
2	1546
1	450
0	183

prune767.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (* (log y) x)) (cbrt (* (log y) x)))
0.6b	(cbrt (* (log y) x))
0.6b	(cbrt (* (log y) x))
0.6b	(cbrt (* (log y) x))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

13.0ms	(* (cbrt (* (log y) x)) (cbrt (* (log y) x)))
3.0ms	(cbrt (* (log y) x))
3.0ms	(cbrt (* (log y) x))
3.0ms	(cbrt (* (log y) x))

series775.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(* (cbrt (* (log y) x)) (cbrt (* (log y) x)))
188.0ms	(cbrt (* (log y) x))
211.0ms	(cbrt (* (log y) x))
145.0ms	(cbrt (* (log y) x))

simplify690.0ms

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
2	868
1	221
0	93

prune714.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes1.0s

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	41
3	41
2	40
1	36
0	27

end0.0ms

sample7.7s

Algorithm

intervals

Results

3.0s	24066×	body	80	nan
1.1s	5886×	body	80	valid
881.0ms	768×	body	640	valid
307.0ms	706×	body	320	valid
283.0ms	243×	body	1280	valid
130.0ms	434×	body	160	valid