Details

sample41.0ms

Algorithm

intervals

Results

17.0ms

322×

body

valid

simplify108.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ t (- 1.0 z))
3.7b	(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite256.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 69

Calls

2 calls:

23.0ms	(/ t (- 1.0 z))
228.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

series119.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ t (- 1.0 z))
72.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

simplify1.5s

Counts: 75 → 75

prune194.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ y z) x) (* (- (/ t (- 1.0 z))) x))
0.0b	(/ t (- 1.0 z))
2.8b	(* (- (/ t (- 1.0 z))) x)
5.5b	(* (/ y z) x)

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

69×	`add-sqr-sqrt`
62×	`*-un-lft-identity`
59×	`associate-l`
55×	`times-frac`
42×	`add-cube-cbrt`
21×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
13×	`add-exp-log` `add-cbrt-cube`
10×	`distribute-lft-out--` `difference-of-squares`
8×	`pow1`
6×	`associate-r` `associate-/r/` `add-log-exp`
5×	`associate-/r*`
4×	`associate-*l/` `div-inv`
3×	`distribute-lft-neg-out` `flip3--` `prod-exp` `flip--` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `distribute-neg-frac`
1×	`+-commutative` `neg-mul-1` `distribute-rgt-out` `frac-2neg` `flip3-+` `unsub-neg` `frac-add` `clear-num` `sum-log` `flip-+`

Counts

4 → 147

Calls

4 calls:

18.0ms	(+ (* (/ y z) x) (* (- (/ t (- 1.0 z))) x))
12.0ms	(/ t (- 1.0 z))
62.0ms	(* (- (/ t (- 1.0 z))) x)
15.0ms	(* (/ y z) x)

series216.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(+ (* (/ y z) x) (* (- (/ t (- 1.0 z))) x))
48.0ms	(/ t (- 1.0 z))
67.0ms	(* (- (/ t (- 1.0 z))) x)
31.0ms	(* (/ y z) x)

simplify972.0ms

Counts: 159 → 159

prune505.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (* y x) z) (* (- (/ t (- 1.0 z))) x))
0.0b	(/ t (- 1.0 z))
2.8b	(* (- (/ t (- 1.0 z))) x)
4.0b	(/ (* y x) z)

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
56×	`*-un-lft-identity`
48×	`times-frac`
46×	`associate-l`
36×	`add-cube-cbrt`
21×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
13×	`add-exp-log` `add-cbrt-cube`
10×	`distribute-lft-out--` `difference-of-squares`
8×	`associate-/r*`
6×	`pow1` `associate-/r/` `add-log-exp`
4×	`div-inv` `associate-/l*`
3×	`cbrt-undiv` `distribute-lft-neg-out` `flip3--` `div-exp` `associate-r` `flip--`
2×	`frac-2neg` `associate-*l/` `prod-exp` `clear-num` `cbrt-unprod` `distribute-neg-frac`
1×	`+-commutative` `neg-mul-1` `flip3-+` `unsub-neg` `pow-prod-down` `frac-add` `sum-log` `*-commutative` `flip-+` `unswap-sqr`

Counts

4 → 135

Calls

4 calls:

18.0ms	(+ (/ (* y x) z) (* (- (/ t (- 1.0 z))) x))
17.0ms	(/ t (- 1.0 z))
88.0ms	(* (- (/ t (- 1.0 z))) x)
14.0ms	(/ (* y x) z)

series244.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(+ (/ (* y x) z) (* (- (/ t (- 1.0 z))) x))
50.0ms	(/ t (- 1.0 z))
72.0ms	(* (- (/ t (- 1.0 z))) x)
29.0ms	(/ (* y x) z)

simplify971.0ms

Counts: 147 → 147

prune520.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* y x) z) (/ (- (* t x)) (- 1.0 z)))
2.7b	(/ (- (* t x)) (- 1.0 z))
4.0b	(/ (* y x) z)

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
33×	`times-frac`
32×	`add-sqr-sqrt`
18×	`add-cube-cbrt`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/r*`
7×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
6×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in`
5×	`add-log-exp`
3×	`pow1` `cbrt-undiv` `distribute-frac-neg` `div-exp`
2×	`neg-sub0` `frac-2neg` `div-sub` `clear-num` `associate-/r/` `div-inv`
1×	`+-commutative` `associate-+r-` `flip3--` `flip3-+` `unsub-neg` `frac-add` `prod-exp` `sum-log` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out`

Counts

3 → 94

Calls

3 calls:

73.0ms	(+ (/ (* y x) z) (/ (- (* t x)) (- 1.0 z)))
27.0ms	(/ (- (* t x)) (- 1.0 z))
18.0ms	(/ (* y x) z)

series186.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(+ (/ (* y x) z) (/ (- (* t x)) (- 1.0 z)))
94.0ms	(/ (- (* t x)) (- 1.0 z))
28.0ms	(/ (* y x) z)

simplify757.0ms

Counts: 103 → 103

prune302.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes271.0ms

Accuracy

0% (7.2b remaining)

Error of 7.2b against oracle of 0.0b and baseline of 7.2b

bsearch196.0ms

Steps

Iters	Range		Point
10	2.2534066176643386e+162	6.409683920077745e+172	3.262047267833346e+162
10	-9.991298479303338e+151	-4.2747426985711185e+135	-4.3520223404451874e+135

simplify685.0ms

end0.0ms

sample1.2s

Algorithm

intervals

Results

575.0ms

10111×

body

valid