Details

sample46.0ms

Algorithm

intervals

Results

30.0ms

275×

body

valid

simplify785.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
10	1775
9	710
8	365
7	203
6	134
5	114
4	95
3	65
2	37
1	23
0	14

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.9b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* z (- b y)))
0.0b	(* z (- b y))
0.7b	(+ (* x y) (* z (- t a)))
20.9b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
9×	`times-frac`
8×	`associate-+r+` `add-cbrt-cube` `add-exp-log` `add-log-exp`
6×	`distribute-rgt-in` `pow1` `sub-neg` `distribute-lft-in`
5×	`associate-r`
4×	`flip3-+` `flip-+` `insert-posit16`
3×	`associate-/r` `associate-l` `associate-/l`
2×	`+-commutative` `sum-log` `associate-*r/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

6.0ms	(+ y (* z (- b y)))
14.0ms	(* z (- b y))
8.0ms	(+ (* x y) (* z (- t a)))
43.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series546.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ y (* z (- b y)))
47.0ms	(* z (- b y))
57.0ms	(+ (* x y) (* z (- t a)))
405.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify622.0ms

Counts

103 → 103

Iterations

Iter	Nodes
done	2004
2	1201
1	373
0	150

prune559.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 20.5b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* z (- b y)) y)
0.0b	(* z (- b y))
0.7b	(+ (* x y) (* z (- t a)))
20.9b	(/ (+ (* x y) (* z (- t a))) (+ (* z (- b y)) y))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
6×	`distribute-rgt-in` `pow1` `sub-neg` `distribute-lft-in`
5×	`associate-r`
4×	`associate-+l+` `associate-+r+` `flip3-+` `flip-+` `insert-posit16`
3×	`associate-/r` `associate-l` `associate-/l`
2×	`+-commutative` `sum-log` `associate-*r/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

12.0ms	(+ (* z (- b y)) y)
23.0ms	(* z (- b y))
9.0ms	(+ (* x y) (* z (- t a)))
37.0ms	(/ (+ (* x y) (* z (- t a))) (+ (* z (- b y)) y))

series562.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (* z (- b y)) y)
46.0ms	(* z (- b y))
52.0ms	(+ (* x y) (* z (- t a)))
429.0ms	(/ (+ (* x y) (* z (- t a))) (+ (* z (- b y)) y))

simplify921.0ms

Counts

103 → 103

Iterations

Iter	Nodes
done	2002
2	1181
1	374
0	150

prune560.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 20.5b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.5b	(/ 1 (+ (* z (- b y)) y))
0.7b	(+ (* x y) (* z (- t a)))
20.8b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ (* z (- b y)) 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` `associate-+r+` `sub-neg` `distribute-lft-in` `div-exp` `associate-/r/` `insert-posit16` `unswap-sqr`
3×	`associate-/r` `associate-r/` `cbrt-unprod` `associate-/l*`
2×	`frac-times` `cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3--` `un-div-inv` `pow-flip` `flip--` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 120

Calls

4 calls:

21.0ms	(* z (- b y))
24.0ms	(/ 1 (+ (* z (- b y)) y))
13.0ms	(+ (* x y) (* z (- t a)))
67.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ (* z (- b y)) y)))

series615.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* z (- b y))
79.0ms	(/ 1 (+ (* z (- b y)) y))
51.0ms	(+ (* x y) (* z (- t a)))
440.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ (* z (- b y)) y)))

simplify791.0ms

Counts

132 → 132

Iterations

Iter	Nodes
done	2000
2	1573
1	477
0	180

prune699.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 20.5b

localize48.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.7b	(+ (* x y) (* z (- t a)))
20.9b	(/ (+ (* x y) (* z (- t a))) (+ y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- b y)))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
6×	`cbrt-prod` `add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`pow1` `associate-+r+` `insert-posit16`
3×	`associate-/r` `flip3-+` `flip-+` `associate-/l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `pow1/3` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 72

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
8.0ms	(+ (* x y) (* z (- t a)))
34.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- b y)))))

series1.1s

Counts

4 → 12

Calls

4 calls:

283.0ms	(cbrt z)
273.0ms	(cbrt z)
53.0ms	(+ (* x y) (* z (- t a)))
528.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- b y)))))

simplify576.0ms

Counts

84 → 84

Iterations

Iter	Nodes
done	2004
2	1102
1	303
0	119

prune533.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 20.5b

regimes918.0ms

Accuracy

0% (0.4b remaining)

Error of 23.1b against oracle of 22.7b and baseline of 23.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	24
1	24
0	16

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.1s

8428×

body

valid