Details

sample74.0ms

Algorithm

intervals

Results

19.0ms	206×	body	80	valid
12.0ms	23×	body	1280	valid
12.0ms	32×	body	640	valid
4.0ms	97×	body	80	nan
4.0ms	16×	body	320	valid
1.0ms	8×	body	160	valid

simplify1.3s

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ z y))
0.0b	(exp (* y (log (/ y (+ z y)))))
0.1b	(* y (log (/ y (+ z y))))
8.4b	(log (/ y (+ z y)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity`
90×	`log-prod`
72×	`times-frac`
57×	`add-sqr-sqrt`
55×	`add-cube-cbrt`
36×	`distribute-rgt-in` `distribute-lft-in` `exp-sum`
19×	`distribute-lft-out`
12×	`associate-/r/`
11×	`add-exp-log`
8×	`pow1` `add-cbrt-cube`
6×	`flip3-+` `flip-+` `div-inv` `add-log-exp`
4×	`associate-r` `associate-/r*`
3×	`associate-l` `associate-/l*`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `log-div` `exp-prod` `exp-to-pow` `frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `rem-exp-log` `unswap-sqr`

Counts

4 → 163

Calls

4 calls:

11.0ms	(/ y (+ z y))
46.0ms	(exp (* y (log (/ y (+ z y)))))
22.0ms	(* y (log (/ y (+ z y))))
11.0ms	(log (/ y (+ z y)))

series941.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(/ y (+ z y))
316.0ms	(exp (* y (log (/ y (+ z y)))))
138.0ms	(* y (log (/ y (+ z y))))
422.0ms	(log (/ y (+ z y)))

simplify813.0ms

Counts: 175 → 175

prune493.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (exp (* y 0)) y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 12

Calls

1 calls:

28.0ms

(+ x (/ (exp (* y 0)) y))

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(+ x (/ (exp (* y 0)) y))

simplify1.3s

Counts: 15 → 15

prune45.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (exp (* -1 z)) y))
0.0b	(/ (exp (* -1 z)) y)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/r` `associate-/l`
2×	`pow1`
1×	`cbrt-undiv` `+-commutative` `exp-neg` `frac-2neg` `mul-1-neg` `flip3-+` `div-exp` `clear-num` `sum-log` `flip-+` `div-inv` `associate-/l/` `distribute-lft-out`

Counts

2 → 40

Calls

2 calls:

12.0ms	(+ x (/ (exp (* -1 z)) y))
10.0ms	(/ (exp (* -1 z)) y)

series64.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ x (/ (exp (* -1 z)) y))
25.0ms	(/ (exp (* -1 z)) y)

simplify559.0ms

Counts: 46 → 46

prune162.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ 1 (* y (exp z))))
0.0b	(/ 1 (* y (exp z)))
0.0b	(* y (exp z))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-exp-log`
10×	`*-un-lft-identity` `add-cbrt-cube`
9×	`add-sqr-sqrt`
8×	`pow1`
7×	`add-cube-cbrt`
5×	`add-log-exp`
4×	`div-exp` `prod-exp`
3×	`times-frac` `associate-r` `associate-l` `associate-/l*`
2×	`cbrt-undiv` `rec-exp` `pow-flip` `1-exp` `pow-prod-down` `cbrt-unprod` `div-inv` `distribute-lft-out`
1×	`+-commutative` `frac-2neg` `flip3-+` `clear-num` `associate-/r` `sum-log` `-commutative` `flip-+` `inv-pow` `unswap-sqr`

Counts

3 → 59

Calls

3 calls:

12.0ms	(+ x (/ 1 (* y (exp z))))
19.0ms	(/ 1 (* y (exp z)))
21.0ms	(* y (exp z))

series105.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ x (/ 1 (* y (exp z))))
24.0ms	(/ 1 (* y (exp z)))
46.0ms	(* y (exp z))

simplify1.3s

Counts: 68 → 68

prune173.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes73.0ms

Accuracy

57.8% (1.0b remaining)

Error of 1.1b against oracle of 0.2b and baseline of 2.5b

bsearch35.0ms

Steps

Iters	Range		Point
7	6.9557985703470894e-46	8.643499649855141e-44	8.521901356571208e-44

simplify423.0ms

end0.0ms

sample2.6s

Algorithm

intervals

Results

582.0ms	6610×	body	80	valid
509.0ms	736×	body	1280	valid
504.0ms	884×	body	640	valid
210.0ms	2911×	body	80	nan
180.0ms	556×	body	320	valid
51.0ms	306×	body	160	valid