Details

sample60.0ms

Algorithm

intervals

Results

22.0ms	105×	body	1280	valid
11.0ms	85×	body	640	valid
5.0ms	404×	pre	80	true
3.0ms	157×	body	80	valid
3.0ms	31×	body	320	valid
1.0ms	26×	body	160	valid

simplify22.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.8b

localize6.0ms

Local error

Found 1 expressions with local error:

6.6b	(- (exp x) 1.0)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 14

Calls

1 calls:

13.0ms

(- (exp x) 1.0)

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(- (exp x) 1.0)

simplify2.4s

Counts: 17 → 17

prune71.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
0.0b	(+ (* x 1/6) 1/2)
0.0b	(* (pow x 2) (+ (* x 1/6) 1/2))
0.3b	(* x 1/6)

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
11×	`add-exp-log` `associate-l`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`add-cbrt-cube` `add-log-exp`
6×	`pow1` `associate-r`
5×	`unswap-sqr`
4×	`unpow-prod-down` `prod-exp`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `associate-r/` `sum-log` `-commutative` `cbrt-unprod` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-prod-down` `pow-exp`

Counts

4 → 73

Calls

4 calls:

23.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
10.0ms	(+ (* x 1/6) 1/2)
46.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
12.0ms	(* x 1/6)

series219.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
60.0ms	(+ (* x 1/6) 1/2)
106.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
17.0ms	(* x 1/6)

simplify838.0ms

Counts: 85 → 85

prune222.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x 1/6)
0.3b	(* x 1/6)
0.3b	(* x 1/6)
27.5b	(/ (- (* (* (pow x 4) (+ (* x 1/6) 1/2)) (+ (* x 1/6) 1/2)) (pow x 2)) (- (* (pow x 2) (+ (* x 1/6) 1/2)) x))

rewrite315.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity`
12×	`add-exp-log` `add-cbrt-cube`
10×	`pow1`
9×	`times-frac` `associate-r` `associate-l`
4×	`add-log-exp`
3×	`pow-prod-down` `prod-exp` `associate-/r` `-commutative` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 86

Calls

4 calls:

7.0ms	(* x 1/6)
7.0ms	(* x 1/6)
8.0ms	(* x 1/6)
290.0ms	(/ (- (* (* (pow x 4) (+ (* x 1/6) 1/2)) (+ (* x 1/6) 1/2)) (pow x 2)) (- (* (pow x 2) (+ (* x 1/6) 1/2)) x))

series176.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(* x 1/6)
18.0ms	(* x 1/6)
27.0ms	(* x 1/6)
116.0ms	(/ (- (* (* (pow x 4) (+ (* x 1/6) 1/2)) (+ (* x 1/6) 1/2)) (pow x 2)) (- (* (pow x 2) (+ (* x 1/6) 1/2)) x))

simplify765.0ms

Counts: 98 → 98

prune347.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize50.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x 1/6)
0.3b	(* x 1/6)
0.3b	(* x 1/6)
50.1b	(/ (- (pow (* (* (pow x 4) (+ (* x 1/6) 1/2)) (+ (* x 1/6) 1/2)) 3) (pow (pow x 2) 3)) (* (+ (+ (* (* (* (pow x 4) (+ (* x 1/6) 1/2)) (+ (* x 1/6) 1/2)) (* (* (pow x 4) (+ (* x 1/6) 1/2)) (+ (* x 1/6) 1/2))) (pow x 4)) (* (* (* (pow x 4) (+ (* x 1/6) 1/2)) (+ (* x 1/6) 1/2)) (pow x 2))) (- (* (pow x 2) (+ (* x 1/6) 1/2)) x)))

rewrite1.9s

Algorithm

rewrite-expression-head

Rules

78×	`associate-*l/`
63×	`flip3-+` `flip-+`
60×	`frac-times`
58×	`add-sqr-sqrt`
56×	`associate-/r/`
50×	`associate-*r/`
48×	`frac-add`
40×	`difference-of-squares`
32×	`sqr-pow`
25×	`times-frac` `associate-/l*`
24×	`unpow-prod-down`
20×	`flip3--` `flip--`
16×	`*-un-lft-identity` `cube-prod`
15×	`add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt`
10×	`pow1`
9×	`associate-r` `associate-l`
8×	`unpow2`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow-prod-down` `*-commutative` `unswap-sqr`
2×	`difference-cubes` `cbrt-undiv` `div-exp` `associate-/l/` `distribute-lft-out--`
1×	`frac-2neg` `div-sub` `clear-num` `associate-/r*` `div-inv`

Counts

4 → 178

Calls

4 calls:

7.0ms	(* x 1/6)
10.0ms	(* x 1/6)
14.0ms	(* x 1/6)
1.9s	(/ (- (pow (* (* (pow x 4) (+ (* x 1/6) 1/2)) (+ (* x 1/6) 1/2)) 3) (pow (pow x 2) 3)) (* (+ (+ (* (* (* (pow x 4) (+ (* x 1/6) 1/2)) (+ (* x 1/6) 1/2)) (* (* (pow x 4) (+ (* x 1/6) 1/2)) (+ (* x 1/6) 1/2))) (pow x 4)) (* (* (* (pow x 4) (+ (* x 1/6) 1/2)) (+ (* x 1/6) 1/2)) (pow x 2))) (- (* (pow x 2) (+ (* x 1/6) 1/2)) x)))

series355.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* x 1/6)
32.0ms	(* x 1/6)
19.0ms	(* x 1/6)
286.0ms	(/ (- (pow (* (* (pow x 4) (+ (* x 1/6) 1/2)) (+ (* x 1/6) 1/2)) 3) (pow (pow x 2) 3)) (* (+ (+ (* (* (* (pow x 4) (+ (* x 1/6) 1/2)) (+ (* x 1/6) 1/2)) (* (* (pow x 4) (+ (* x 1/6) 1/2)) (+ (* x 1/6) 1/2))) (pow x 4)) (* (* (* (pow x 4) (+ (* x 1/6) 1/2)) (+ (* x 1/6) 1/2)) (pow x 2))) (- (* (pow x 2) (+ (* x 1/6) 1/2)) x)))

simplify987.0ms

Counts: 190 → 190

prune1.7s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes67.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.2s

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.3s	3398×	body	1280	valid
409.0ms	2495×	body	640	valid
215.0ms	11973×	pre	80	true
113.0ms	1266×	body	320	valid
86.0ms	4157×	body	80	valid
37.0ms	657×	body	160	valid