Details

sample46.0ms

Algorithm

intervals

Results

20.0ms

269×

body

valid

simplify3.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	246
1	25	246
2	58	246
3	100	246
4	199	246
5	540	246
6	1218	246
7	2063	246
8	2969	246
9	4448	246
done	5016	246

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
0.0b	(/ (+ (- t z) 1.0) a)
9.3b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

239×	`*-un-lft-identity`
203×	`times-frac`
136×	`add-sqr-sqrt`
87×	`add-cube-cbrt`
44×	`distribute-lft-out`
43×	`distribute-lft-out--`
23×	`difference-of-squares`
22×	`associate-/r*`
10×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`clear-num` `frac-2neg` `flip3--` `flip--`
1×	`sub-neg` `flip3-+` `diff-log` `associate-/r/` `associate-+l-` `flip-+` `associate--r-`

Counts

3 → 192

Calls

3 calls:

101.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
56.0ms	(/ (+ (- t z) 1.0) a)
57.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series380.0ms

Counts

3 → 9

Calls

3 calls:

134.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
47.0ms	(/ (+ (- t z) 1.0) a)
200.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify2.3s

Counts

201 → 201

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	261	82406
1	773	77916
2	2443	75876
done	5001	75675

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
0.1b	(/ (- y z) (+ (- t z) 1.0))
1.4b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

104×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
51×	`times-frac`
31×	`associate-l`
27×	`add-cube-cbrt`
22×	`distribute-lft-out` `distribute-lft-out--`
11×	`difference-of-squares`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`associate-r`
2×	`cbrt-undiv` `flip3-+` `flip3--` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `flip--` `unswap-sqr` `associate-/l/`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `pow-prod-down` `associate-l/` `-commutative`

Counts

3 → 114

Calls

3 calls:

4.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
48.0ms	(/ (- y z) (+ (- t z) 1.0))
103.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series364.0ms

Counts

3 → 9

Calls

3 calls:

136.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
68.0ms	(/ (- y z) (+ (- t z) 1.0))
160.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify2.2s

Counts

123 → 123

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	168	35767
1	446	33882
2	1429	33401
done	5000	33361

prune593.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (* (- y z) (/ 1 (+ (- t z) 1.0))) a))
0.0b	(/ 1 (+ (- t z) 1.0))
0.2b	(* (- y z) (/ 1 (+ (- t z) 1.0)))
1.4b	(* (* (- y z) (/ 1 (+ (- t z) 1.0))) a)

rewrite286.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
34×	`add-sqr-sqrt`
32×	`times-frac` `add-exp-log`
25×	`add-cube-cbrt`
24×	`associate-r`
20×	`add-cbrt-cube`
14×	`distribute-lft-out`
13×	`prod-exp`
12×	`pow1`
10×	`associate-*l/`
8×	`distribute-lft-out--`
7×	`cbrt-unprod`
6×	`div-exp` `associate-l` `add-log-exp`
5×	`associate-/r*` `flip3--` `flip--`
4×	`frac-times` `pow-prod-down` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`flip3-+` `associate-r/` `un-div-inv` `-commutative` `flip-+` `div-inv`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `pow-flip` `inv-pow` `difference-of-squares`

Counts

4 → 131

Calls

4 calls:

4.0ms	(- x (* (* (- y z) (/ 1 (+ (- t z) 1.0))) a))
34.0ms	(/ 1 (+ (- t z) 1.0))
110.0ms	(* (- y z) (/ 1 (+ (- t z) 1.0)))
131.0ms	(* (* (- y z) (/ 1 (+ (- t z) 1.0))) a)

series432.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(- x (* (* (- y z) (/ 1 (+ (- t z) 1.0))) a))
47.0ms	(/ 1 (+ (- t z) 1.0))
61.0ms	(* (- y z) (/ 1 (+ (- t z) 1.0)))
205.0ms	(* (* (- y z) (/ 1 (+ (- t z) 1.0))) a)

simplify178.0ms

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	194	40452