Details

sample222.0ms

Algorithm

intervals

Results

87.0ms	907×	body	80	nan
27.0ms	286×	body	80	valid

simplify88.0ms

Counts: 1 → 1

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.2b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite3.9s

Algorithm

rewrite-expression-head

Rules

38×	`add-log-exp`
25×	`sum-log`
20×	`add-sqr-sqrt`
18×	`log-prod`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
10×	`pow1`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
6×	`associate-+r+` `associate-*l/`
4×	`flip3-+` `frac-add` `flip-+`
3×	`flip3--` `flip--`
2×	`+-commutative` `associate-+l+` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 95

Calls

4 calls:

3.1s	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
765.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
39.0ms	(* (- b 0.5) (log c))
16.0ms	(* x (log y))

series1.2s

Counts

4 → 12

Calls

4 calls:

734.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
307.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
68.0ms	(* (- b 0.5) (log c))
41.0ms	(* x (log y))

simplify69.0ms

Counts: 107 → 107

prune582.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log (cbrt y)))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

10.0ms	(* x (log (cbrt y)))
46.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series816.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(* x (log (cbrt y)))
154.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
288.0ms	(cbrt y)
247.0ms	(cbrt y)

simplify51.0ms

Counts: 114 → 114

prune927.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log (pow y 1/3)))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (+ (* x (log 1)) (* x (log (pow y 1/3)))))
0.6b	(cbrt y)
4.9b	(pow y 1/3)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

38×	`log-prod`
31×	`distribute-rgt-in` `distribute-lft-in`
24×	`associate-+l+`
23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-prod`
9×	`unpow-prod-down` `add-log-exp`
7×	`pow1` `add-exp-log`
6×	`add-cbrt-cube`
4×	`associate-r`
3×	`pow-unpow` `associate-l` `sum-log` `sqr-pow`
2×	`distribute-lft-out`
1×	`+-commutative` `pow-to-exp` `associate-+r+` `pow-pow` `flip3-+` `unpow1/3` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 100

Calls

4 calls:

13.0ms	(* x (log (pow y 1/3)))
52.0ms	(+ (* x (* 2 (log (cbrt y)))) (+ (* x (log 1)) (* x (log (pow y 1/3)))))
1.0ms	(cbrt y)
3.0ms	(pow y 1/3)

series1.4s

Counts

4 → 12

Calls

4 calls:

132.0ms	(* x (log (pow y 1/3)))
630.0ms	(+ (* x (* 2 (log (cbrt y)))) (+ (* x (log 1)) (* x (log (pow y 1/3)))))
270.0ms	(cbrt y)
359.0ms	(pow y 1/3)

simplify53.0ms

Counts: 112 → 112

prune1.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt c) (cbrt c))
0.6b	(cbrt c)
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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:

20.0ms	(* (cbrt c) (cbrt c))
1.0ms	(cbrt c)
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series1.2s

Counts

4 → 12

Calls

4 calls:

377.0ms	(* (cbrt c) (cbrt c))
263.0ms	(cbrt c)
250.0ms	(cbrt c)
304.0ms	(cbrt c)

simplify68.0ms

Counts: 85 → 85

prune628.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes576.0ms

Accuracy

18.1% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify25.0ms

end0.0ms

sample8.9s

Algorithm

intervals

Results

3.4s	27398×	body	80	nan
2.1s	9228×	body	80	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid