Details

sample31.0ms

Algorithm

intervals

Results

14.0ms

380×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	11
1	18	11
2	24	11
done	24	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.0b	(+ (* x y) (* z t))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 24

Calls

2 calls:

11.0ms	(+ (+ (* x y) (* z t)) (* a b))
3.0ms	(+ (* x y) (* z t))

series88.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(+ (+ (* x y) (* z t)) (* a b))
37.0ms	(+ (* x y) (* z t))

simplify951.0ms

Counts

30 → 30

Iterations

Useful iterations: 3 (245.0ms)

Iter	Nodes	Cost
0	57	421
1	185	395
2	620	373
3	2067	369
done	5000	369

prune90.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (cbrt (pow (+ (* t z) (* x y)) 3)) (* a b))
0.0b	(+ (* t z) (* x y))
0.3b	(pow (+ (* t z) (* x y)) 3)
34.0b	(cbrt (pow (+ (* t z) (* x y)) 3))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`add-log-exp`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`cube-div` `flip3-+` `flip-+`
3×	`pow-unpow`
2×	`+-commutative` `cube-mult` `cbrt-div` `unpow3` `sum-log` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 70

Calls

4 calls:

28.0ms	(+ (cbrt (pow (+ (* t z) (* x y)) 3)) (* a b))
2.0ms	(+ (* t z) (* x y))
4.0ms	(pow (+ (* t z) (* x y)) 3)
4.0ms	(cbrt (pow (+ (* t z) (* x y)) 3))

series260.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(+ (cbrt (pow (+ (* t z) (* x y)) 3)) (* a b))
37.0ms	(+ (* t z) (* x y))
130.0ms	(pow (+ (* t z) (* x y)) 3)
37.0ms	(cbrt (pow (+ (* t z) (* x y)) 3))

simplify577.0ms

Counts

82 → 82

Iterations

Useful iterations: 2 (134.0ms)

Iter	Nodes	Cost
0	117	1384
1	340	1136
2	1332	1022
done	5000	1022

prune216.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (* t z) (* x y)) (* a b))
0.0b	(+ (* t z) (* x y))
2.8b	(exp (log (+ (+ (* t z) (* x y)) (* a b))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `exp-prod` `sum-log`
3×	`add-exp-log` `log-prod` `flip3-+` `exp-sum` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `log-div` `exp-diff`
1×	`associate-+l+` `log-pow` `rem-exp-log`

Counts

3 → 41

Calls

3 calls:

11.0ms	(+ (+ (* t z) (* x y)) (* a b))
2.0ms	(+ (* t z) (* x y))
9.0ms	(exp (log (+ (+ (* t z) (* x y)) (* a b))))

series155.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(+ (+ (* t z) (* x y)) (* a b))
35.0ms	(+ (* t z) (* x y))
60.0ms	(exp (log (+ (+ (* t z) (* x y)) (* a b))))

simplify1.0s

Counts

50 → 50

Iterations

Useful iterations: 3 (299.0ms)

Iter	Nodes	Cost
0	86	807
1	222	735
2	697	664
3	2296	656
done	5001	656

prune140.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (- (* t z) (* x y)) 3)
0.9b	(- (* (* t z) (* t z)) (* (* x y) (* x y)))
34.0b	(cbrt (/ (pow (- (* (* t z) (* t z)) (* (* x y) (* x y))) 3) (pow (- (* t z) (* x y)) 3)))
47.0b	(/ (pow (- (* (* t z) (* t z)) (* (* x y) (* x y))) 3) (pow (- (* t z) (* x y)) 3))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

336×	`times-frac`
190×	`unpow-prod-down` `cube-prod`
174×	`cbrt-prod`
170×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
55×	`cube-mult` `unpow3` `sqr-pow`
51×	`difference-of-squares`
17×	`add-exp-log`
14×	`associate-/l*`
12×	`associate-/r*`
9×	`div-exp`
8×	`cube-div`
7×	`pow-to-exp` `pow-exp` `add-cbrt-cube`
6×	`add-log-exp`
5×	`pow1` `flip3--` `flip--`
4×	`associate-/r/`
3×	`pow-unpow`
2×	`div-inv` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `diff-log` `clear-num` `rem-cube-cbrt`

Counts

4 → 439

Calls

4 calls:

4.0ms	(pow (- (* t z) (* x y)) 3)
10.0ms	(- (* (* t z) (* t z)) (* (* x y) (* x y)))
30.0ms	(cbrt (/ (pow (- (* (* t z) (* t z)) (* (* x y) (* x y))) 3) (pow (- (* t z) (* x y)) 3)))
61.0ms	(/ (pow (- (* (* t z) (* t z)) (* (* x y) (* x y))) 3) (pow (- (* t z) (* x y)) 3))

series609.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(pow (- (* t z) (* x y)) 3)
111.0ms	(- (* (* t z) (* t z)) (* (* x y) (* x y)))
86.0ms	(cbrt (/ (pow (- (* (* t z) (* t z)) (* (* x y) (* x y))) 3) (pow (- (* t z) (* x y)) 3)))
266.0ms	(/ (pow (- (* (* t z) (* t z)) (* (* x y) (* x y))) 3) (pow (- (* t z) (* x y)) 3))

simplify1.5s

Counts

451 → 451

Iterations

Useful iterations: 2 (517.0ms)

Iter	Nodes	Cost
0	426	22908
1	781	20542
2	4126	17867
done	5001	17867

prune855.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes306.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	11
1	16	11
done	16	11

end0.0ms

sample784.0ms

Algorithm

intervals

Results

363.0ms

11992×

body

valid