Details

sample39.0ms

Algorithm

intervals

Results

16.0ms

271×

body

valid

simplify1.6s

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.0b	(+ (* x y) (* z (- t a)))
0.0b	(* z (- b y))
23.2b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite107.0ms

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:

26.0ms	(* z (- t a))
10.0ms	(+ (* x y) (* z (- t a)))
22.0ms	(* z (- b y))
47.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series649.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* z (- t a))
69.0ms	(+ (* x y) (* z (- t a)))
60.0ms	(* z (- b y))
459.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify736.0ms

Counts: 110 → 110

prune405.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 23.4b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z (- t a)))
0.0b	(* z (- b y))
0.5b	(/ 1 (+ y (* z (- b y))))
23.0b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite127.0ms

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:

10.0ms	(+ (* x y) (* z (- t a)))
32.0ms	(* z (- b y))
16.0ms	(/ 1 (+ y (* z (- b y))))
66.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series693.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(+ (* x y) (* z (- t a)))
56.0ms	(* z (- b y))
121.0ms	(/ 1 (+ y (* z (- b y))))
442.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify927.0ms

Counts: 128 → 128

prune531.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 23.4b

localize318.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z (- t a)))
0.0b	(* z (- b y))
0.3b	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
23.2b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite98.0ms

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:

10.0ms	(+ (* x y) (* z (- t a)))
21.0ms	(* z (- b y))
28.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
32.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.6s

Counts

4 → 12

Calls

4 calls:

82.0ms	(+ (* x y) (* z (- t a)))
60.0ms	(* z (- b y))
1.0s	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
392.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify1.2s

Counts: 168 → 168

prune616.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 23.4b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- b y))
0.5b	(cbrt (- b y))
0.5b	(cbrt (- b y))
23.0b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* (* z (* (cbrt (- b y)) (cbrt (- b y)))) (cbrt (- b y))))))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
15×	`cbrt-prod` `add-cube-cbrt` `associate-r`
13×	`add-exp-log`
11×	`times-frac`
9×	`add-cbrt-cube`
6×	`pow1` `cbrt-div`
4×	`prod-exp` `add-log-exp`
3×	`flip3--` `flip3-+` `pow1/3` `associate-l` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
2×	`frac-times` `div-exp` `associate-*l/` `associate-/r/` `cbrt-unprod`
1×	`cbrt-undiv` `rec-exp` `1-exp` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `div-inv`

Counts

4 → 87

Calls

4 calls:

11.0ms	(cbrt (- b y))
7.0ms	(cbrt (- b y))
5.0ms	(cbrt (- b y))
43.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* (* z (* (cbrt (- b y)) (cbrt (- b y)))) (cbrt (- b y))))))

series942.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(cbrt (- b y))
186.0ms	(cbrt (- b y))
157.0ms	(cbrt (- b y))
410.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* (* z (* (cbrt (- b y)) (cbrt (- b y)))) (cbrt (- b y))))))

simplify840.0ms

Counts: 99 → 99

prune388.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 23.4b

regimes647.0ms

Accuracy

10% (0.6b remaining)

Error of 23.6b against oracle of 23.0b and baseline of 23.7b

bsearch0.0ms

simplify1.4s

end0.0ms

sample1.4s

Algorithm

intervals

Results

740.0ms

8398×

body

valid