Details

sample69.0ms

Algorithm

intervals

Results

36.0ms

344×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	3868
6	855
5	274
4	179
3	96
2	46
1	25
0	14

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.4b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* (+ 1 (* z (- 1.0 t))) 2.0) (* t z)) (/ x y))
0.0b	(* z (- 1.0 t))
8.4b	(/ (* (+ 1 (* z (- 1.0 t))) 2.0) (* t z))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

39.0ms	(+ (/ (* (+ 1 (* z (- 1.0 t))) 2.0) (* t z)) (/ x y))
16.0ms	(* z (- 1.0 t))
19.0ms	(/ (* (+ 1 (* z (- 1.0 t))) 2.0) (* t z))

series229.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(+ (/ (* (+ 1 (* z (- 1.0 t))) 2.0) (* t z)) (/ x y))
55.0ms	(* z (- 1.0 t))
94.0ms	(/ (* (+ 1 (* z (- 1.0 t))) 2.0) (* t z))

simplify1.1s

Counts

71 → 71

Iterations

Iter	Nodes
done	5001
2	2479
1	421
0	138

prune435.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 t) 2.0)
0.0b	(+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0))
0.0b	(+ (+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0)) (/ x y))
0.3b	(/ (/ 2.0 t) z)

rewrite649.0ms

Algorithm

rewrite-expression-head

Rules

76×	`times-frac`
62×	`*-un-lft-identity`
51×	`add-sqr-sqrt`
46×	`add-cube-cbrt`
20×	`add-log-exp`
13×	`associate-/l*`
9×	`add-cbrt-cube` `add-exp-log`
8×	`frac-add`
7×	`sum-log` `distribute-lft-out`
5×	`div-inv`
4×	`pow1`
3×	`cbrt-undiv` `associate-/r*` `flip3-+` `flip3--` `diff-log` `div-exp` `flip-+` `flip--` `distribute-lft-out--`
2×	`+-commutative` `associate-+r+` `associate-+r-` `sub-neg` `difference-of-squares`
1×	`associate-+l+` `clear-num` `frac-2neg` `associate-+l-` `associate-/l/`

Counts

4 → 126

Calls

4 calls:

14.0ms	(- (/ 2.0 t) 2.0)
76.0ms	(+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0))
535.0ms	(+ (+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0)) (/ x y))
18.0ms	(/ (/ 2.0 t) z)

series184.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- (/ 2.0 t) 2.0)
39.0ms	(+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0))
69.0ms	(+ (+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0)) (/ x y))
26.0ms	(/ (/ 2.0 t) z)

simplify1.2s

Counts

138 → 138

Iterations

Iter	Nodes
done	5000
2	3315
1	680
0	254

prune898.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 t) 2.0)
0.0b	(+ (* (/ 2.0 t) (/ 1 z)) (- (/ 2.0 t) 2.0))
0.0b	(+ (+ (* (/ 2.0 t) (/ 1 z)) (- (/ 2.0 t) 2.0)) (/ x y))
0.3b	(* (/ 2.0 t) (/ 1 z))

rewrite408.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
26×	`times-frac` `frac-add` `add-exp-log`
24×	`*-un-lft-identity`
20×	`add-log-exp`
18×	`add-cube-cbrt`
16×	`add-cbrt-cube`
13×	`associate-r` `associate-l`
9×	`flip3--` `flip--`
8×	`div-exp` `prod-exp`
7×	`sum-log`
6×	`pow1` `unswap-sqr`
5×	`frac-times` `associate-l/` `associate-r/` `un-div-inv`
4×	`cbrt-undiv` `cbrt-unprod`
3×	`flip3-+` `diff-log` `flip-+`
2×	`+-commutative` `rec-exp` `associate-+r+` `associate-+r-` `sub-neg` `1-exp` `div-inv` `difference-of-squares`
1×	`associate-+l+` `pow-prod-down` `*-commutative` `associate-+l-` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 121

Calls

4 calls:

15.0ms	(- (/ 2.0 t) 2.0)
36.0ms	(+ (* (/ 2.0 t) (/ 1 z)) (- (/ 2.0 t) 2.0))
316.0ms	(+ (+ (* (/ 2.0 t) (/ 1 z)) (- (/ 2.0 t) 2.0)) (/ x y))
36.0ms	(* (/ 2.0 t) (/ 1 z))

series156.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (/ 2.0 t) 2.0)
34.0ms	(+ (* (/ 2.0 t) (/ 1 z)) (- (/ 2.0 t) 2.0))
60.0ms	(+ (+ (* (/ 2.0 t) (/ 1 z)) (- (/ 2.0 t) 2.0)) (/ x y))
24.0ms	(* (/ 2.0 t) (/ 1 z))

simplify352.0ms

Counts

133 → 133

Iterations

Iter	Nodes
done	5000
1	833
0	260

prune632.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 t) 2.0)
0.0b	(+ (/ (/ 2.0 z) t) (- (/ 2.0 t) 2.0))
0.0b	(+ (+ (/ (/ 2.0 z) t) (- (/ 2.0 t) 2.0)) (/ x y))
0.2b	(/ (/ 2.0 z) t)

rewrite506.0ms

Algorithm

rewrite-expression-head

Rules

76×	`times-frac`
62×	`*-un-lft-identity`
51×	`add-sqr-sqrt`
46×	`add-cube-cbrt`
20×	`add-log-exp`
13×	`associate-/l*`
9×	`add-cbrt-cube` `add-exp-log`
8×	`frac-add`
7×	`sum-log` `distribute-lft-out`
5×	`div-inv`
4×	`pow1`
3×	`cbrt-undiv` `associate-/r*` `flip3-+` `flip3--` `diff-log` `div-exp` `flip-+` `flip--` `distribute-lft-out--`
2×	`+-commutative` `associate-+r+` `associate-+r-` `sub-neg` `difference-of-squares`
1×	`associate-+l+` `clear-num` `frac-2neg` `associate-+l-` `associate-/l/`

Counts

4 → 126

Calls

4 calls:

15.0ms	(- (/ 2.0 t) 2.0)
68.0ms	(+ (/ (/ 2.0 z) t) (- (/ 2.0 t) 2.0))
409.0ms	(+ (+ (/ (/ 2.0 z) t) (- (/ 2.0 t) 2.0)) (/ x y))
9.0ms	(/ (/ 2.0 z) t)

series164.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (/ 2.0 t) 2.0)
35.0ms	(+ (/ (/ 2.0 z) t) (- (/ 2.0 t) 2.0))
69.0ms	(+ (+ (/ (/ 2.0 z) t) (- (/ 2.0 t) 2.0)) (/ x y))
24.0ms	(/ (/ 2.0 z) t)

simplify1.0s

Counts

138 → 138

Iterations

Iter	Nodes
done	5000
2	3151
1	686
0	257

prune754.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes359.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	12

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.5s

10495×

body

valid