Details

sample75.0ms

Algorithm

intervals

Results

48.0ms

435×

body

valid

simplify48.0ms

Counts

1 → 1

Iterations

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite158.0ms

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-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

11.0ms	(+ (* x y) (* z t))
31.0ms	(+ (+ (* x y) (* z t)) (* a b))
115.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

series458.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(+ (* x y) (* z t))
97.0ms	(+ (+ (* x y) (* z t)) (* a b))
316.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

simplify2.2s

Counts

47 → 47

Iterations

Iter	Nodes
3	6593
2	1368
1	275
0	84

prune667.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (cbrt (* (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (+ (* x y) (* z t)))) (* a b)) (* c i))
0.2b	(* (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (+ (* x y) (* z t)))
0.3b	(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
32.1b	(cbrt (* (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (+ (* x y) (* z t))))

rewrite262.0ms

Algorithm

rewrite-expression-head

Rules

61×	`flip3-+` `flip-+`
60×	`frac-times`
30×	`pow1` `associate-*l/`
26×	`cbrt-div`
18×	`associate-*r/`
12×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
7×	`pow-plus` `pow-prod-up`
6×	`associate-r`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`pow2` `sum-log` `swap-sqr` `pow-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `pow3` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `+-commutative` `associate-+l+` `pow1/3` `rem-cbrt-cube`

Counts

4 → 140

Calls

4 calls:

65.0ms	(+ (+ (cbrt (* (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (+ (* x y) (* z t)))) (* a b)) (* c i))
86.0ms	(* (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (+ (* x y) (* z t)))
59.0ms	(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
47.0ms	(cbrt (* (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (+ (* x y) (* z t))))

series557.0ms

Counts

4 → 12

Calls

4 calls:

265.0ms	(+ (+ (cbrt (* (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (+ (* x y) (* z t)))) (* a b)) (* c i))
147.0ms	(* (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (+ (* x y) (* z t)))
99.0ms	(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
46.0ms	(cbrt (* (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (+ (* x y) (* z t))))

simplify1.2s

Counts

152 → 152

Iterations

Iter	Nodes
2	3554
1	768
0	223

prune2.5s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.2b	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.2b	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.3b	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+` `add-log-exp`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`sum-log` `pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `associate-r/`
1×	`pow2` `+-commutative` `associate-+l+` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 100

Calls

4 calls:

20.0ms	(+ (+ (* x y) (* z t)) (* a b))
20.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
19.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
137.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

series1.6s

Counts

4 → 12

Calls

4 calls:

82.0ms	(+ (+ (* x y) (* z t)) (* a b))
842.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
572.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
69.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

simplify1.7s

Counts

112 → 112

Iterations

Iter	Nodes
3	6573
2	1049
1	311
0	126

prune1.4s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (+ (* z t) (* x y)) (+ (* z t) (* x y)))
1.9b	(cbrt (- (* x y) (* z t)))
11.0b	(/ (cbrt (* (+ (* z t) (* x y)) (* (- (* x y) (* z t)) (* (+ (* z t) (* x y)) (+ (* z t) (* x y)))))) (cbrt (- (* x y) (* z t))))
27.7b	(cbrt (* (+ (* z t) (* x y)) (* (- (* x y) (* z t)) (* (+ (* z t) (* x y)) (+ (* z t) (* x y))))))

rewrite311.0ms

Algorithm

rewrite-expression-head

Rules

276×	`frac-times`
168×	`flip3-+` `flip-+`
164×	`cbrt-div`
138×	`associate-*r/`
80×	`associate-/l/`
56×	`flip3--` `flip--`
54×	`associate-*l/`
28×	`add-sqr-sqrt`
26×	`cbrt-prod` `*-un-lft-identity` `add-cube-cbrt`
24×	`times-frac`
11×	`pow1`
8×	`add-exp-log`
6×	`associate-/r*` `add-cbrt-cube`
4×	`associate-/l*` `add-log-exp`
3×	`swap-sqr` `associate-r` `associate-l`
2×	`pow1/3` `associate-/r/`
1×	`pow2` `distribute-rgt-in` `cbrt-undiv` `clear-num` `frac-2neg` `distribute-lft-in` `pow-plus` `div-exp` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 265

Calls

4 calls:

46.0ms	(* (+ (* z t) (* x y)) (+ (* z t) (* x y)))
7.0ms	(cbrt (- (* x y) (* z t)))
109.0ms	(/ (cbrt (* (+ (* z t) (* x y)) (* (- (* x y) (* z t)) (* (+ (* z t) (* x y)) (+ (* z t) (* x y)))))) (cbrt (- (* x y) (* z t))))
136.0ms	(cbrt (* (+ (* z t) (* x y)) (* (- (* x y) (* z t)) (* (+ (* z t) (* x y)) (+ (* z t) (* x y))))))

series766.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(* (+ (* z t) (* x y)) (+ (* z t) (* x y)))
170.0ms	(cbrt (- (* x y) (* z t)))
38.0ms	(/ (cbrt (* (+ (* z t) (* x y)) (* (- (* x y) (* z t)) (* (+ (* z t) (* x y)) (+ (* z t) (* x y)))))) (cbrt (- (* x y) (* z t))))
476.0ms	(cbrt (* (+ (* z t) (* x y)) (* (- (* x y) (* z t)) (* (+ (* z t) (* x y)) (+ (* z t) (* x y))))))

simplify2.7s

Counts

277 → 277

Iterations

Iter	Nodes
2	5861
1	1386
0	591

prune5.9s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes1.4s

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

sample3.0s

Algorithm

intervals

Results

1.7s

13557×

body

valid