Details

sample105.0ms

Algorithm

intervals

Results

70.0ms

456×

body

valid

simplify81.0ms

Counts

1 → 1

Iterations

Iter	Nodes
5	84
4	84
3	73
2	46
1	26
0	15

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 3 expressions with local error:

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

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`add-sqr-sqrt` `pow1` `+-commutative` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16`
2×	`associate-+l+`

Counts

3 → 41

Calls

3 calls:

25.0ms	(+ (+ (* x y) (* z t)) (* a b))
9.0ms	(+ (* x y) (* z t))
112.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

series422.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(+ (+ (* x y) (* z t)) (* a b))
56.0ms	(+ (* x y) (* z t))
281.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

simplify2.0s

Counts

50 → 50

Iterations

Iter	Nodes
3	5805
2	1172
1	275
0	87

prune603.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.5b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.5b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.5b	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

rewrite801.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 91

Calls

4 calls:

82.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
61.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
88.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
567.0ms	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

series639.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
158.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
127.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
192.0ms	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

simplify1.2s

Counts

103 → 103

Iterations

Iter	Nodes
3	3299
2	852
1	303
0	123

prune1.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
0.5b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.5b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.5b	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

62×	`cbrt-prod`
56×	`add-sqr-sqrt`
28×	`cbrt-div`
26×	`*-un-lft-identity` `add-cube-cbrt`
20×	`sqrt-prod`
18×	`pow1`
17×	`swap-sqr`
15×	`associate-r` `associate-l`
14×	`flip3-+` `pow1/3` `flip-+`
13×	`unswap-sqr`
12×	`sqrt-div`
8×	`frac-times` `add-exp-log`
4×	`add-cbrt-cube` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up` `insert-posit16` `add-log-exp`
2×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 142

Calls

4 calls:

517.0ms	(* (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
77.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
69.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
559.0ms	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

series617.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(* (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
139.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
124.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
221.0ms	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

simplify1.4s

Counts

154 → 154

Iterations

Iter	Nodes
3	3956
2	1103
1	409
0	183

prune1.8s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* c i) (* c i))
0.3b	(* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b)))
4.3b	(- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i)))
32.6b	(/ (- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i))) (- (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

rewrite585.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1`
20×	`add-cbrt-cube` `add-exp-log`
19×	`add-sqr-sqrt`
18×	`pow-prod-down`
17×	`*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
9×	`prod-exp` `cbrt-unprod`
6×	`flip3-+` `flip-+` `add-log-exp`
5×	`pow-sqr` `pow-prod-up` `difference-of-squares`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `insert-posit16` `associate-/l*`
3×	`associate-/r*` `pow-plus` `flip3--` `flip--`
2×	`pow2` `distribute-rgt-in` `distribute-lft-in` `associate-l/` `associate--l+` `associate-r/` `associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv` `unswap-sqr`

Counts

4 → 124

Calls

4 calls:

30.0ms	(* (* c i) (* c i))
147.0ms	(* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b)))
79.0ms	(- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i)))
327.0ms	(/ (- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i))) (- (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

series2.5m

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (* c i) (* c i))
439.0ms	(* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b)))
2.5m	(- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i)))
948.0ms	(/ (- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i))) (- (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

simplify639.0ms

Counts

136 → 136

Iterations

Iter	Nodes
2	2709
1	608
0	200

prune989.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes875.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	22
1	22
0	15

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.2s

13637×

body

valid