Details

sample39.0ms

Algorithm

intervals

Results

17.0ms

269×

body

valid

simplify1.7s

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.0b	(* z (- t a))
0.9b	(+ (* x y) (* z (- t a)))
22.7b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

22.0ms	(* z (- b y))
33.0ms	(* z (- t a))
10.0ms	(+ (* x y) (* z (- t a)))
35.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series609.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* z (- b y))
52.0ms	(* z (- t a))
65.0ms	(+ (* x y) (* z (- t a)))
440.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify794.0ms

Counts: 110 → 110

prune381.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 22.9b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.5b	(/ 1 (+ y (* z (- b y))))
0.9b	(+ (* x y) (* z (- t a)))
22.2b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

23.0ms	(* z (- t a))
11.0ms	(/ 1 (+ y (* z (- b y))))
11.0ms	(+ (* x y) (* z (- t a)))
60.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series550.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* z (- t a))
92.0ms	(/ 1 (+ y (* z (- b y))))
50.0ms	(+ (* x y) (* z (- t a)))
365.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify812.0ms

Counts: 128 → 128

prune440.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 22.9b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.4b	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
0.9b	(+ (* x y) (* z (- t a)))
22.7b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 156

Calls

4 calls:

37.0ms	(* z (- t a))
39.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
18.0ms	(+ (* x y) (* z (- t a)))
63.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.6s

Counts

4 → 12

Calls

4 calls:

43.0ms	(* z (- t a))
1.1s	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
61.0ms	(+ (* x y) (* z (- t a)))
397.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify1.1s

Counts: 168 → 168

prune624.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 22.9b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.0b	(* z (- t a))
0.9b	(+ (* x y) (* z (- t a)))
22.7b	(/ (* 1 (+ (* x y) (* z (- t a)))) (+ y (* z (- b y))))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

33.0ms	(* z (- b y))
31.0ms	(* z (- t a))
17.0ms	(+ (* x y) (* z (- t a)))
38.0ms	(/ (* 1 (+ (* x y) (* z (- t a)))) (+ y (* z (- b y))))

series558.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* z (- b y))
46.0ms	(* z (- t a))
50.0ms	(+ (* x y) (* z (- t a)))
422.0ms	(/ (* 1 (+ (* x y) (* z (- t a)))) (+ y (* z (- b y))))

simplify1.0s

Counts: 105 → 105

prune334.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 22.9b

regimes499.0ms

Accuracy

0% (0.6b remaining)

Error of 23.7b against oracle of 23.0b and baseline of 23.7b

bsearch0.0ms

simplify862.0ms

end0.0ms

sample1.2s

Algorithm

intervals

Results

702.0ms

8432×

body

valid