Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify13.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.1b

localize4.0ms

Local error

Found 1 expressions with local error:

19.1b

(/ x (+ (* x x) 1.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 29

Calls

1 calls:

22.0ms

(/ x (+ (* x x) 1.0))

series92.0ms

Counts

1 → 3

Calls

1 calls:

92.0ms

(/ x (+ (* x x) 1.0))

simplify916.0ms

Counts: 32 → 32

prune96.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 2 expressions with local error:

2.0b	(/ x (+ (- (* 1.0 1.0)) (pow x 4)))
25.4b	(* (/ x (+ (- (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0))

rewrite537.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
25×	`times-frac`
20×	`add-cube-cbrt`
18×	`associate-l`
9×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out`
4×	`pow1` `associate-r` `associate-/r*` `associate-/r/`
3×	`associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-times` `sub-neg` `flip3--` `distribute-lft-in` `flip3-+` `associate-*r/` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `flip-+` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `difference-of-squares`

Counts

2 → 79

Calls

2 calls:

35.0ms	(/ x (+ (- (* 1.0 1.0)) (pow x 4)))
499.0ms	(* (/ x (+ (- (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0))

series323.0ms

Counts

2 → 6

Calls

2 calls:

187.0ms	(/ x (+ (- (* 1.0 1.0)) (pow x 4)))
135.0ms	(* (/ x (+ (- (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0))

simplify945.0ms

Counts: 85 → 85

prune262.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ 1 (pow x 5))
0.2b	(/ 1 (pow x 3))
18.3b	(- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3))))

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

57×	`times-frac`
44×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`unpow-prod-down`
21×	`add-exp-log`
19×	`associate-/r*`
12×	`cube-prod` `div-exp`
8×	`frac-sub` `add-log-exp` `sqr-pow`
7×	`add-cbrt-cube`
6×	`pow-to-exp` `rec-exp` `1-exp` `associate-r/` `pow-exp` `un-div-inv` `associate-/l`
4×	`cube-mult` `unpow3` `frac-add`
3×	`pow1`
2×	`cbrt-undiv` `pow-flip` `frac-2neg` `flip3-+` `diff-log` `clear-num` `flip-+` `div-inv` `inv-pow`
1×	`sub-neg` `flip3--` `associate--l+` `sum-log` `flip--`

Counts

3 → 148

Calls

3 calls:

17.0ms	(/ 1 (pow x 5))
11.0ms	(/ 1 (pow x 3))
154.0ms	(- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3))))

series197.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(/ 1 (pow x 5))
43.0ms	(/ 1 (pow x 3))
78.0ms	(- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3))))

simplify1.2s

Counts: 157 → 157

prune332.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes22.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 23.8b

bsearch96.0ms

Steps

Iters	Range		Point
9	15.61478477777618	1958959.7701095298	484.1711366885761
11	-4.7422492710449806e+39	-380908646326105.1	-2.6843571421907366e+24

simplify827.0ms

end0.0ms

sample465.0ms

Algorithm

intervals

Results

289.0ms

8000×

body

valid