Details

sample32.0ms

Algorithm

intervals

Results

12.0ms

339×

body

valid

simplify1.7s

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z x)) t))
0.0b	(* y (- z x))
4.7b	(/ (* y (- z x)) t)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

9.0ms	(+ x (/ (* y (- z x)) t))
21.0ms	(* y (- z x))
25.0ms	(/ (* y (- z x)) t)

series160.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(+ x (/ (* y (- z x)) t))
38.0ms	(* y (- z x))
59.0ms	(/ (* y (- z x)) t)

simplify564.0ms

Counts: 70 → 70

prune237.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* y (- z x)) (/ 1 t)))
0.0b	(* y (- z x))
4.8b	(* (* y (- z x)) (/ 1 t))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 79

Calls

3 calls:

13.0ms	(+ x (* (* y (- z x)) (/ 1 t)))
43.0ms	(* y (- z x))
73.0ms	(* (* y (- z x)) (/ 1 t))

series180.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(+ x (* (* y (- z x)) (/ 1 t)))
55.0ms	(* y (- z x))
77.0ms	(* (* y (- z x)) (/ 1 t))

simplify705.0ms

Counts: 88 → 88

prune244.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ t (* y (- z x)))))
0.0b	(* y (- z x))
0.5b	(/ 1 (/ t (* y (- z x))))
4.7b	(/ t (* y (- z x)))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 126

Calls

4 calls:

51.0ms	(+ x (/ 1 (/ t (* y (- z x)))))
43.0ms	(* y (- z x))
47.0ms	(/ 1 (/ t (* y (- z x))))
23.0ms	(/ t (* y (- z x)))

series238.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ x (/ 1 (/ t (* y (- z x)))))
45.0ms	(* y (- z x))
83.0ms	(/ 1 (/ t (* y (- z x))))
63.0ms	(/ t (* y (- z x)))

simplify806.0ms

Counts: 138 → 138

prune356.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ 1 (/ (/ t y) (- z x))))
0.5b	(/ 1 (/ (/ t y) (- z x)))
8.6b	(/ (/ t y) (- z x))

rewrite260.0ms

Algorithm

rewrite-expression-head

Rules

772×	`times-frac`
462×	`*-un-lft-identity`
459×	`add-sqr-sqrt`
327×	`add-cube-cbrt`
76×	`associate-/r*`
66×	`distribute-lft-out--` `difference-of-squares`
33×	`div-inv`
29×	`add-exp-log`
18×	`div-exp`
17×	`add-cbrt-cube`
16×	`associate-/l*`
11×	`associate-/r/`
9×	`cbrt-undiv`
5×	`flip3--` `flip--` `add-log-exp`
4×	`pow1`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `clear-num` `distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `associate-/l/` `inv-pow`

Counts

3 → 425

Calls

3 calls:

122.0ms	(+ x (/ 1 (/ (/ t y) (- z x))))
58.0ms	(/ 1 (/ (/ t y) (- z x)))
22.0ms	(/ (/ t y) (- z x))

series189.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(+ x (/ 1 (/ (/ t y) (- z x))))
81.0ms	(/ 1 (/ (/ t y) (- z x)))
51.0ms	(/ (/ t y) (- z x))

simplify661.0ms

Counts: 434 → 434

prune1.9s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes127.0ms

Accuracy

0% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch98.0ms

Steps

Iters	Range		Point
10	1.0466097993232068e+55	3.2724606515989106e+67	4.102782586155086e+55
8	-157.5946717805265	-0.6081750806165627	-7.329715074495526

simplify1.3m

end0.0ms

sample1.3s

Algorithm

intervals

Results

580.0ms

10683×

body

valid