Details

sample83.0ms

Algorithm

intervals

Results

50.0ms

415×

body

valid

simplify1.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	21
1	38	21
2	112	21
3	374	21
4	1200	21
done	5001	21

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (+ y t) 2.0) b)
0.0b	(* (- y 1.0) z)
0.0b	(* (- t 1.0) a)
0.0b	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))

rewrite444.0ms

Algorithm

rewrite-expression-head

Rules

26×	`associate-*l/`
22×	`add-sqr-sqrt`
19×	`flip3--` `*-un-lft-identity` `flip--`
16×	`associate-l`
13×	`add-log-exp`
12×	`frac-add`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
9×	`associate-r`
8×	`frac-sub`
4×	`associate-+l+` `distribute-lft-out--`
3×	`diff-log` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
2×	`sub-neg` `associate--l+`
1×	`+-commutative` `associate-+l-` `flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 97

Calls

4 calls:

140.0ms	(* (- (+ y t) 2.0) b)
29.0ms	(* (- y 1.0) z)
27.0ms	(* (- t 1.0) a)
242.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))

series396.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (- (+ y t) 2.0) b)
54.0ms	(* (- y 1.0) z)
47.0ms	(* (- t 1.0) a)
261.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))

simplify2.5s

Counts

109 → 109

Iterations

Useful iterations: 2 (776.0ms)

Iter	Nodes	Cost
0	266	2710
1	883	2499
2	4344	2403
done	5000	2403

prune517.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (- (+ y t) 2.0)) (cbrt (- (+ y t) 2.0)))
0.6b	(cbrt (- (+ y t) 2.0))
0.6b	(cbrt (- (+ y t) 2.0))
0.6b	(cbrt (- (+ y t) 2.0))

rewrite260.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
58×	`cbrt-prod`
37×	`add-sqr-sqrt`
22×	`distribute-lft-out--`
18×	`cbrt-div`
15×	`add-cube-cbrt` `swap-sqr`
11×	`pow1` `distribute-lft-out`
9×	`flip3--` `pow1/3` `associate-r` `associate-l` `flip--`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 111

Calls

4 calls:

186.0ms	(* (cbrt (- (+ y t) 2.0)) (cbrt (- (+ y t) 2.0)))
23.0ms	(cbrt (- (+ y t) 2.0))
17.0ms	(cbrt (- (+ y t) 2.0))
30.0ms	(cbrt (- (+ y t) 2.0))

series695.0ms

Counts

4 → 12

Calls

4 calls:

235.0ms	(* (cbrt (- (+ y t) 2.0)) (cbrt (- (+ y t) 2.0)))
183.0ms	(cbrt (- (+ y t) 2.0))
130.0ms	(cbrt (- (+ y t) 2.0))
146.0ms	(cbrt (- (+ y t) 2.0))

simplify1.8s

Counts

123 → 123

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	159	2085
1	354	1905
2	929	1807
3	2662	1634
done	5001	1623

prune714.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (- (+ y t) 2.0)) (pow (cbrt (- (+ y t) 2.0)) 1))
0.6b	(cbrt (- (+ y t) 2.0))
0.6b	(cbrt (- (+ y t) 2.0))
0.6b	(cbrt (- (+ y t) 2.0))

rewrite426.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
36×	`cbrt-prod` `add-sqr-sqrt`
13×	`unpow-prod-down` `associate-r`
12×	`add-cube-cbrt`
10×	`distribute-lft-out--`
9×	`add-exp-log` `associate-l`
8×	`cbrt-div` `unswap-sqr`
7×	`pow1`
5×	`add-cbrt-cube` `distribute-lft-out` `difference-of-squares`
4×	`flip3--` `flip--` `add-log-exp`
3×	`pow1/3` `prod-exp` `sqr-pow`
2×	`associate-*l/`
1×	`pow-to-exp` `pow-prod-down` `pow-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

345.0ms	(* (cbrt (- (+ y t) 2.0)) (pow (cbrt (- (+ y t) 2.0)) 1))
34.0ms	(cbrt (- (+ y t) 2.0))
23.0ms	(cbrt (- (+ y t) 2.0))
16.0ms	(cbrt (- (+ y t) 2.0))

series705.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(* (cbrt (- (+ y t) 2.0)) (pow (cbrt (- (+ y t) 2.0)) 1))
174.0ms	(cbrt (- (+ y t) 2.0))
169.0ms	(cbrt (- (+ y t) 2.0))
170.0ms	(cbrt (- (+ y t) 2.0))

simplify3.2s

Counts

107 → 107

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	170	1815
1	386	1501
2	1095	1342
3	4257	1301
done	5000	1301

prune733.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- (+ y t) 2.0))
0.6b	(cbrt (- (+ y t) 2.0))
0.6b	(cbrt (- (+ y t) 2.0))
0.7b	(cbrt (cbrt (- (+ y t) 2.0)))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

33×	`cbrt-prod`
29×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
10×	`cbrt-div`
9×	`add-cube-cbrt`
8×	`distribute-lft-out--`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `distribute-lft-out` `add-log-exp` `difference-of-squares`

Counts

4 → 67

Calls

4 calls:

32.0ms	(cbrt (- (+ y t) 2.0))
20.0ms	(cbrt (- (+ y t) 2.0))
25.0ms	(cbrt (- (+ y t) 2.0))
18.0ms	(cbrt (cbrt (- (+ y t) 2.0)))

series731.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(cbrt (- (+ y t) 2.0))
159.0ms	(cbrt (- (+ y t) 2.0))
158.0ms	(cbrt (- (+ y t) 2.0))
252.0ms	(cbrt (cbrt (- (+ y t) 2.0)))

simplify1.6s

Counts

79 → 79

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	143	1161
1	325	1106
2	795	1043
3	2234	1010
done	5000	1002

prune689.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

Details

sample83.0ms

simplify1.8s

prune6.0ms

localize32.0ms

rewrite444.0ms

series396.0ms

simplify2.5s

prune517.0ms

localize31.0ms

rewrite260.0ms

series695.0ms

simplify1.8s

prune714.0ms

localize57.0ms

rewrite426.0ms

series705.0ms

simplify3.2s

prune733.0ms

localize61.0ms

rewrite99.0ms

series731.0ms

simplify1.6s

prune689.0ms

regimes4.0ms