Details

sample241.0ms

Algorithm

intervals

Results

99.0ms	885×	body	80	nan
21.0ms	200×	body	80	valid
13.0ms	10×	body	1280	valid
10.0ms	17×	body	640	valid
6.0ms	19×	body	320	valid
2.0ms	11×	body	160	valid

simplify3.0s

Counts

1 → 1

Iterations

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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize46.0ms

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))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`log-prod`
13×	`add-cube-cbrt`
11×	`pow1`
10×	`associate-l`
9×	`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×	`flip3--` `associate-*l/` `flip--`
3×	`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 → 94

Calls

4 calls:

85.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
29.0ms	(* (- z 1.0) (log (- 1.0 y)))
35.0ms	(* (- x 1.0) (log y))
8.0ms	(log (- 1.0 y))

series437.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
64.0ms	(* (- z 1.0) (log (- 1.0 y)))
88.0ms	(* (- x 1.0) (log y))
58.0ms	(log (- 1.0 y))

simplify1.0s

Counts

106 → 106

Iterations

Iter	Nodes
done	5000
2	2102
1	532
0	231

prune820.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite434.0ms

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:

98.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* (/ (* 1/2 y) 1.0) (/ y 1.0)) (* 1.0 y))))) t)
27.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* (/ (* 1/2 y) 1.0) (/ y 1.0)) (* 1.0 y)))))
258.0ms	(* (- z 1.0) (- (log 1.0) (+ (* (/ (* 1/2 y) 1.0) (/ y 1.0)) (* 1.0 y))))
46.0ms	(* (- x 1.0) (log y))

series610.0ms

Counts

4 → 12

Calls

4 calls:

259.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* (/ (* 1/2 y) 1.0) (/ y 1.0)) (* 1.0 y))))) t)
171.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* (/ (* 1/2 y) 1.0) (/ y 1.0)) (* 1.0 y)))))
95.0ms	(* (- z 1.0) (- (log 1.0) (+ (* (/ (* 1/2 y) 1.0) (/ y 1.0)) (* 1.0 y))))
84.0ms	(* (- x 1.0) (log y))

simplify1.6s

Counts

141 → 141

Iterations

Iter	Nodes
done	5000
2	4796
1	928
0	320

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (pow y 2) 0.5) (* (* (pow y 2) 0.5) z))
0.0b	(- (- (* (pow y 2) 0.5) (* (* (pow y 2) 0.5) z)) (* (* 1.0 y) z))
0.1b	(* (- x 1.0) (log y))
7.4b	(* (* (pow y 2) 0.5) z)

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

16.0ms	(- (* (pow y 2) 0.5) (* (* (pow y 2) 0.5) z))
48.0ms	(- (- (* (pow y 2) 0.5) (* (* (pow y 2) 0.5) z)) (* (* 1.0 y) z))
40.0ms	(* (- x 1.0) (log y))
28.0ms	(* (* (pow y 2) 0.5) z)

series280.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(- (* (pow y 2) 0.5) (* (* (pow y 2) 0.5) z))
65.0ms	(- (- (* (pow y 2) 0.5) (* (* (pow y 2) 0.5) z)) (* (* 1.0 y) z))
87.0ms	(* (- x 1.0) (log y))
34.0ms	(* (* (pow y 2) 0.5) z)

simplify1.0s

Counts

88 → 88

Iterations

Iter	Nodes
done	5001
2	2329
1	434
0	174

prune670.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize86.0ms

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))

rewrite68.0ms

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×	`frac-times` `add-cbrt-cube` `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 → 101

Calls

4 calls:

48.0ms	(* (cbrt (- z 1.0)) (cbrt (- z 1.0)))
5.0ms	(cbrt (- z 1.0))
5.0ms	(cbrt (- z 1.0))
5.0ms	(cbrt (- z 1.0))

series488.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(* (cbrt (- z 1.0)) (cbrt (- z 1.0)))
108.0ms	(cbrt (- z 1.0))
124.0ms	(cbrt (- z 1.0))
125.0ms	(cbrt (- z 1.0))

simplify668.0ms

Counts

113 → 113

Iterations

Iter	Nodes
done	5001
2	1460
1	396
0	167

prune939.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes884.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	32
1	32
0	23

end0.0ms

sample7.7s

Algorithm

intervals

Results

2.8s	24083×	body	80	nan
1.2s	5794×	body	80	valid
874.0ms	770×	body	640	valid
305.0ms	268×	body	1280	valid
301.0ms	736×	body	320	valid
95.0ms	459×	body	160	valid