Details

sample71.0ms

Algorithm

intervals

Results

37.0ms

476×

body

valid

simplify53.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	106
5	106
4	105
3	82
2	48
1	26
0	15

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite170.0ms

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:

30.0ms	(+ (+ (* x y) (* z t)) (* a b))
130.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
8.0ms	(+ (* x y) (* z t))

series393.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(+ (+ (* x y) (* z t)) (* a b))
272.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
48.0ms	(+ (* x y) (* z t))

simplify1.5s

Counts

47 → 47

Iterations

Iter	Nodes
done	5001
2	1613
1	278
0	84

prune436.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
0.9b	(cbrt (+ (* x y) (* z t)))
0.9b	(cbrt (+ (* x y) (* z t)))
0.9b	(cbrt (+ (* x y) (* z t)))

rewrite76.0ms

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` `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 → 87

Calls

4 calls:

59.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
4.0ms	(cbrt (+ (* x y) (* z t)))
4.0ms	(cbrt (+ (* x y) (* z t)))
5.0ms	(cbrt (+ (* x y) (* z t)))

series672.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
160.0ms	(cbrt (+ (* x y) (* z t)))
146.0ms	(cbrt (+ (* x y) (* z t)))
155.0ms	(cbrt (+ (* x y) (* z t)))

simplify1.1s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1094
1	335
0	128

prune905.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize112.0ms

Local error

Found 4 expressions with local error:

0.9b	(cbrt (+ (* x y) (* z t)))
0.9b	(cbrt (+ (* x y) (* z t)))
0.9b	(cbrt (+ (* x y) (* z t)))
0.9b	(cbrt (+ (* x y) (* z t)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `cbrt-div` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `flip3-+` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

5.0ms	(cbrt (+ (* x y) (* z t)))
6.0ms	(cbrt (+ (* x y) (* z t)))
6.0ms	(cbrt (+ (* x y) (* z t)))
6.0ms	(cbrt (+ (* x y) (* z t)))

series593.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(cbrt (+ (* x y) (* z t)))
154.0ms	(cbrt (+ (* x y) (* z t)))
144.0ms	(cbrt (+ (* x y) (* z t)))
154.0ms	(cbrt (+ (* x y) (* z t)))

simplify939.0ms

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
3	1332
2	468
1	179
0	67

prune641.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.1b	(* (* (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)) (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.2b	(* (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)) (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
41.7b	(cbrt (* (* (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)) (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

rewrite2.3s

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`
7×	`pow-plus` `pow-prod-up`
6×	`associate-r` `add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`pow2` `swap-sqr` `pow-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `pow3` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `+-commutative` `sum-log` `pow1/3` `rem-cbrt-cube`

Counts

4 → 138

Calls

4 calls:

9.0ms	(+ (* x y) (* z t))
1.0s	(* (* (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)) (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
621.0ms	(* (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)) (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
656.0ms	(cbrt (* (* (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)) (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

series9.8m

Calls

2 calls:

1.9m

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

320.0ms

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