Details

sample193.0ms

Algorithm

intervals

Results

94.0ms	784×	body	80	nan
17.0ms	33×	body	640	valid
16.0ms	185×	body	80	valid
6.0ms	21×	body	320	valid
6.0ms	7×	body	1280	valid
3.0ms	13×	body	160	valid

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4312
5	1312
4	339
3	117
2	49
1	26
0	14

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.2b

localize46.0ms

Local error

Found 3 expressions with local error:

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

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

88.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
18.0ms	(* (- x 1.0) (log y))
16.0ms	(log (- 1.0 y))

series329.0ms

Counts

3 → 9

Calls

3 calls:

204.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
79.0ms	(* (- x 1.0) (log y))
46.0ms	(log (- 1.0 y))

simplify624.0ms

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	1495
1	400
0	179

prune570.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

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

rewrite507.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `flip3--` `flip--`
25×	`*-un-lft-identity`
24×	`log-prod` `associate-*l/`
16×	`distribute-rgt-in` `distribute-lft-in` `frac-add` `add-cube-cbrt`
13×	`associate--l+`
12×	`frac-times`
11×	`add-log-exp`
10×	`pow1` `associate-+r+` `associate-r` `associate-l`
8×	`add-cbrt-cube` `add-exp-log`
6×	`associate-+l+` `associate-*r/`
5×	`sub-neg` `distribute-lft-out--`
4×	`difference-of-squares`
2×	`sum-log` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `flip-+`

Counts

4 → 129

Calls

4 calls:

294.0ms	(* (- z 1.0) (- (log 1.0) (+ (* (/ (* y y) (pow 1.0 2)) 1/2) (* y 1.0))))
48.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* (/ (* y y) (pow 1.0 2)) 1/2) (* y 1.0)))))
127.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* (/ (* y y) (pow 1.0 2)) 1/2) (* y 1.0))))) t)
33.0ms	(* (- x 1.0) (log y))

series725.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* (- z 1.0) (- (log 1.0) (+ (* (/ (* y y) (pow 1.0 2)) 1/2) (* y 1.0))))
220.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* (/ (* y y) (pow 1.0 2)) 1/2) (* y 1.0)))))
335.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* (/ (* y y) (pow 1.0 2)) 1/2) (* y 1.0))))) t)
73.0ms	(* (- x 1.0) (log y))

simplify402.0ms

Counts

141 → 141

Iterations

Iter	Nodes
done	5000
1	927
0	321

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize100.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

8.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.4s

Counts

4 → 12

Calls

4 calls:

308.0ms	(* (cbrt y) (cbrt y))
232.0ms	(cbrt y)
597.0ms	(cbrt y)
247.0ms	(cbrt y)

simplify1.1s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	727
1	138
0	61

prune762.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (log (* (cbrt 1) (pow y 2/3))) (- x 1.0))
0.2b	(+ (* (log (* (cbrt 1) (pow y 2/3))) (- x 1.0)) (+ (* (log (cbrt y)) (- x 1.0)) (* (- z 1.0) (- (- (log 1.0) (* y 1.0)) (/ (* (* y y) 1/2) (* 1.0 1.0))))))
0.7b	(cbrt y)
6.0b	(pow y 2/3)

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

134×	`associate-*r/`
116×	`frac-add`
103×	`flip3--` `flip--`
32×	`frac-times`
24×	`frac-sub`
13×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
9×	`add-cube-cbrt` `add-log-exp`
8×	`pow1` `associate-*l/`
7×	`add-exp-log`
6×	`add-cbrt-cube`
5×	`associate-r`
4×	`distribute-rgt-in` `associate-+l+` `sub-neg` `distribute-lft-in` `associate-l`
3×	`cbrt-prod` `pow-unpow` `sum-log` `unpow-prod-down` `flip3-+` `flip-+`
1×	`pow-to-exp` `+-commutative` `associate-+r+` `pow-pow` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr` `sqr-pow`

Counts

4 → 132

Calls

4 calls:

30.0ms	(* (log (* (cbrt 1) (pow y 2/3))) (- x 1.0))
72.0ms	(+ (* (log (* (cbrt 1) (pow y 2/3))) (- x 1.0)) (+ (* (log (cbrt y)) (- x 1.0)) (* (- z 1.0) (- (- (log 1.0) (* y 1.0)) (/ (* (* y y) 1/2) (* 1.0 1.0))))))
1.0ms	(cbrt y)
4.0ms	(pow y 2/3)

series930.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(* (log (* (cbrt 1) (pow y 2/3))) (- x 1.0))
279.0ms	(+ (* (log (* (cbrt 1) (pow y 2/3))) (- x 1.0)) (+ (* (log (cbrt y)) (- x 1.0)) (* (- z 1.0) (- (- (log 1.0) (* y 1.0)) (/ (* (* y y) 1/2) (* 1.0 1.0))))))
214.0ms	(cbrt y)
223.0ms	(pow y 2/3)

simplify661.0ms

Counts

144 → 144

Iterations

Iter	Nodes
done	5001
1	2296
0	603

prune1.7s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes613.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	42
2	42
1	40
0	30

end0.0ms

sample6.7s

Algorithm

intervals

Results

3.6s	23912×	body	80	nan
658.0ms	5835×	body	80	valid
395.0ms	790×	body	640	valid
349.0ms	259×	body	1280	valid
278.0ms	704×	body	320	valid
90.0ms	451×	body	160	valid