Details

sample38.0ms

Algorithm

intervals

Results

19.0ms

334×

body

valid

simplify44.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (- y z) 1.0))
8.5b	(/ (* x (+ (- y z) 1.0)) z)

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

124.0ms	(* x (+ (- y z) 1.0))
48.0ms	(/ (* x (+ (- y z) 1.0)) z)

series97.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* x (+ (- y z) 1.0))
62.0ms	(/ (* x (+ (- y z) 1.0)) z)

simplify25.0ms

Counts: 53 → 53

prune102.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ (- y z) 1.0))
3.4b	(/ x (/ z (+ (- y z) 1.0)))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity`
138×	`times-frac`
70×	`add-sqr-sqrt` `add-cube-cbrt`
32×	`distribute-lft-out`
26×	`associate-/r*`
16×	`distribute-lft-out--`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

2 → 139

Calls

2 calls:

42.0ms	(/ z (+ (- y z) 1.0))
62.0ms	(/ x (/ z (+ (- y z) 1.0)))

series99.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(/ z (+ (- y z) 1.0))
46.0ms	(/ x (/ z (+ (- y z) 1.0)))

simplify47.0ms

Counts: 145 → 145

prune307.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ (- y z) 1.0) z)
3.9b	(* x (/ (+ (- y z) 1.0) z))

rewrite222.0ms

Algorithm

rewrite-expression-head

Rules

57×	`*-un-lft-identity`
31×	`times-frac`
27×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
19×	`associate-r`
14×	`distribute-lft-out`
9×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--`
5×	`associate-/l*`
4×	`pow1`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`associate-+l-` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip-+`

Counts

2 → 76

Calls

2 calls:

94.0ms	(/ (+ (- y z) 1.0) z)
123.0ms	(* x (/ (+ (- y z) 1.0) z))

series105.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ (+ (- y z) 1.0) z)
60.0ms	(* x (/ (+ (- y z) 1.0) z))

simplify81.0ms

Counts: 82 → 82

prune176.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (- y z))
0.0b	(+ (* x (- y z)) (* x 1.0))
8.5b	(/ (+ (* x (- y z)) (* x 1.0)) z)

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 75

Calls

3 calls:

24.0ms	(* x (- y z))
17.0ms	(+ (* x (- y z)) (* x 1.0))
66.0ms	(/ (+ (* x (- y z)) (* x 1.0)) z)

series154.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(* x (- y z))
46.0ms	(+ (* x (- y z)) (* x 1.0))
70.0ms	(/ (+ (* x (- y z)) (* x 1.0)) z)

simplify32.0ms

Counts: 84 → 84

prune175.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes103.0ms

Accuracy

-9.2% (3.5b remaining)

Error of 3.5b against oracle of 0.0b and baseline of 3.2b

bsearch91.0ms

Steps

Iters	Range		Point
10	8292965409.832743	2.667046099501651e+21	8797080640.399511
7	-3.4090294698027105e+18	-17926297463191962.0	-1.83651324945672e+16

simplify36.0ms

end0.0ms

sample910.0ms

Algorithm

intervals

Results

447.0ms

10103×

body

valid