Details

sample40.0ms

Algorithm

intervals

Results

17.0ms	128×	pre	10240	exit
7.0ms	256×	body	80	valid
3.0ms	128×	pre	80	true

simplify2.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize8.0ms

Local error

Found 2 expressions with local error:

0.7b	(/ x0 (- 1.0 x1))
7.2b	(- (/ x0 (- 1.0 x1)) x0)

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
16×	`times-frac`
12×	`add-cube-cbrt`
6×	`difference-of-squares`
5×	`associate-/r*` `distribute-lft-out--`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

2 → 52

Calls

2 calls:

11.0ms	(/ x0 (- 1.0 x1))
71.0ms	(- (/ x0 (- 1.0 x1)) x0)

series111.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ x0 (- 1.0 x1))
62.0ms	(- (/ x0 (- 1.0 x1)) x0)

simplify114.0ms

Counts: 58 → 58

prune106.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 6.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (- 1.0 x1) (- 1.0 x1))
0.7b	(/ x0 (- 1.0 x1))
0.8b	(+ (/ x0 (- 1.0 x1)) x0)
5.8b	(- (/ x0 (* (- 1.0 x1) (- 1.0 x1))) x0)

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
18×	`add-cube-cbrt`
16×	`times-frac`
11×	`pow1` `distribute-lft-out--`
10×	`difference-of-squares`
8×	`add-exp-log` `flip3--` `add-cbrt-cube` `flip--` `add-log-exp`
7×	`swap-sqr`
5×	`associate-r` `associate-l` `associate-/r*`
4×	`frac-times`
3×	`sub-neg` `associate-/l*`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-l/` `associate-/r/`
1×	`cbrt-undiv` `+-commutative` `pow2` `frac-2neg` `flip3-+` `pow-plus` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 109

Calls

4 calls:

38.0ms	(* (- 1.0 x1) (- 1.0 x1))
14.0ms	(/ x0 (- 1.0 x1))
57.0ms	(+ (/ x0 (- 1.0 x1)) x0)
70.0ms	(- (/ x0 (* (- 1.0 x1) (- 1.0 x1))) x0)

series182.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (- 1.0 x1) (- 1.0 x1))
38.0ms	(/ x0 (- 1.0 x1))
42.0ms	(+ (/ x0 (- 1.0 x1)) x0)
81.0ms	(- (/ x0 (* (- 1.0 x1) (- 1.0 x1))) x0)

simplify53.0ms

Counts: 121 → 121

prune282.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 4.3b

localize30.0ms

Local error

Found 4 expressions with local error:

0.7b	(* (/ x0 (* (- 1.0 x1) (- 1.0 x1))) (/ x0 (* (- 1.0 x1) (- 1.0 x1))))
0.7b	(/ x0 (- 1.0 x1))
0.8b	(+ (/ x0 (- 1.0 x1)) x0)
3.5b	(- (pow (/ x0 (* (- 1.0 x1) (- 1.0 x1))) 3) (pow x0 3))

rewrite379.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
42×	`add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
39×	`times-frac`
34×	`associate-/r/`
28×	`difference-of-squares`
26×	`flip3--` `flip--`
22×	`add-cube-cbrt`
18×	`unpow-prod-down` `cube-prod`
17×	`frac-times`
15×	`swap-sqr` `associate-r` `associate-l` `prod-exp` `cbrt-unprod`
13×	`cbrt-undiv` `div-exp`
11×	`pow1`
10×	`sqr-pow`
9×	`associate-r/` `associate-l/` `distribute-lft-out--`
8×	`add-log-exp`
5×	`associate-/r*` `div-inv`
4×	`unswap-sqr`
3×	`associate-/l*`
1×	`difference-cubes` `+-commutative` `pow2` `sub-neg` `frac-2neg` `flip3-+` `pow-plus` `diff-log` `pow-prod-down` `clear-num` `sum-log` `pow-sqr` `*-commutative` `pow-prod-up` `flip-+` `distribute-lft-out`

Counts

4 → 174

Calls

4 calls:

145.0ms	(* (/ x0 (* (- 1.0 x1) (- 1.0 x1))) (/ x0 (* (- 1.0 x1) (- 1.0 x1))))
11.0ms	(/ x0 (- 1.0 x1))
42.0ms	(+ (/ x0 (- 1.0 x1)) x0)
171.0ms	(- (pow (/ x0 (* (- 1.0 x1) (- 1.0 x1))) 3) (pow x0 3))

series300.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* (/ x0 (* (- 1.0 x1) (- 1.0 x1))) (/ x0 (* (- 1.0 x1) (- 1.0 x1))))
57.0ms	(/ x0 (- 1.0 x1))
46.0ms	(+ (/ x0 (- 1.0 x1)) x0)
121.0ms	(- (pow (/ x0 (* (- 1.0 x1) (- 1.0 x1))) 3) (pow x0 3))

simplify96.0ms

Counts: 186 → 186

prune665.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 3.6b

localize46.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ x0 (- 1.0 x1))
0.8b	(+ (/ x0 (- 1.0 x1)) x0)
1.5b	(log (exp (- (pow (/ x0 (* (- 1.0 x1) (- 1.0 x1))) 3) (pow x0 3))))
3.5b	(- (pow (/ x0 (* (- 1.0 x1) (- 1.0 x1))) 3) (pow x0 3))

rewrite768.0ms

Algorithm

rewrite-expression-head

Rules

100×	`add-sqr-sqrt`
52×	`difference-of-squares`
46×	`*-un-lft-identity`
36×	`unpow-prod-down` `cube-prod`
34×	`log-pow`
33×	`exp-prod`
31×	`times-frac`
20×	`sqr-pow`
16×	`add-cube-cbrt`
14×	`distribute-lft-out--`
8×	`add-log-exp`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `log-prod` `associate-/r*`
3×	`associate-/l*`
2×	`difference-cubes` `sub-neg` `flip3--` `exp-sum` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `log-div` `frac-2neg` `flip3-+` `exp-diff` `diff-log` `div-exp` `rem-log-exp` `clear-num` `sum-log` `flip-+` `div-inv` `distribute-lft-out`

Counts

4 → 139

Calls

4 calls:

19.0ms	(/ x0 (- 1.0 x1))
42.0ms	(+ (/ x0 (- 1.0 x1)) x0)
461.0ms	(log (exp (- (pow (/ x0 (* (- 1.0 x1) (- 1.0 x1))) 3) (pow x0 3))))
232.0ms	(- (pow (/ x0 (* (- 1.0 x1) (- 1.0 x1))) 3) (pow x0 3))

series296.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ x0 (- 1.0 x1))
39.0ms	(+ (/ x0 (- 1.0 x1)) x0)
111.0ms	(log (exp (- (pow (/ x0 (* (- 1.0 x1) (- 1.0 x1))) 3) (pow x0 3))))
110.0ms	(- (pow (/ x0 (* (- 1.0 x1) (- 1.0 x1))) 3) (pow x0 3))

simplify48.0ms

Counts: 151 → 151

prune488.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 2.5b

regimes106.0ms

Accuracy

6.2% (0.7b remaining)

Error of 3.2b against oracle of 2.5b and baseline of 3.3b

bsearch0.0ms

simplify66.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

652.0ms	3963×	pre	10240	exit
268.0ms	8000×	body	80	valid
132.0ms	4037×	pre	80	true