Details

sample227.0ms

Algorithm

intervals

Results

104.0ms	256×	body	80	valid
71.0ms	237×	body	80	nan

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
4	1302
3	350
2	100
1	50
0	28

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.5b

localize77.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ t a)))
0.3b	(/ 2.0 (* t 3.0))
2.6b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
3.5b	(/ (* z (sqrt (+ t a))) t)

rewrite2.1s

Algorithm

rewrite-expression-head

Rules

5600×	`frac-sub`
2442×	`associate-/l*`
2163×	`associate-/r*`
2068×	`add-sqr-sqrt`
1900×	`frac-times`
1495×	`*-un-lft-identity`
1468×	`flip3-+` `flip-+`
1309×	`associate-r`
1246×	`add-cube-cbrt`
1186×	`associate-*r/`
1051×	`flip3--` `flip--`
827×	`associate-l`
607×	`sqrt-prod`
404×	`unswap-sqr`
275×	`*-commutative`
268×	`clear-num` `frac-2neg`
236×	`sqrt-div`
234×	`associate-/l/`
121×	`distribute-lft-out`
93×	`times-frac`
50×	`associate-*l/`
16×	`add-cbrt-cube` `add-exp-log`
8×	`associate--r+` `difference-of-squares`
6×	`pow1` `add-log-exp`
4×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `div-exp` `associate--l+` `insert-posit16` `distribute-lft-out--`
3×	`sub-neg` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `div-inv`
1×	`diff-log` `pow-prod-down`

Counts

4 → 3112

Calls

4 calls:

42.0ms	(* z (sqrt (+ t a)))
25.0ms	(/ 2.0 (* t 3.0))
1.3s	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
80.0ms	(/ (* z (sqrt (+ t a))) t)

series606.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(* z (sqrt (+ t a)))
27.0ms	(/ 2.0 (* t 3.0))
314.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
161.0ms	(/ (* z (sqrt (+ t a))) t)

simplify14.2s

Counts

3124 → 3124

Iterations

Iter	Nodes
done	7957
0	7957

prune41.8s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize171.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
2.6b	(- (* (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))) (/ (* (cbrt z) (sqrt (+ t a))) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite1.8m

Algorithm

rewrite-expression-head

Rules

442176×	`frac-sub`
368220×	`frac-times`
318724×	`add-sqr-sqrt`
290268×	`associate-/l*`
288984×	`associate-/r*`
183893×	`cbrt-prod`
179173×	`*-un-lft-identity`
165471×	`add-cube-cbrt`
129956×	`associate-r`
123351×	`associate-l`
113324×	`flip3-+` `flip-+`
92296×	`associate-*r/`
82909×	`flip3--` `flip--`
75911×	`unswap-sqr`
48120×	`swap-sqr`
41024×	`sqrt-prod`
26856×	`*-commutative`
22632×	`clear-num`
22516×	`frac-2neg`
13456×	`sqrt-div` `associate-/l/`
10560×	`associate-*l/`
6728×	`distribute-lft-out`
3422×	`times-frac`
1806×	`difference-of-squares`
348×	`un-div-inv`
8×	`associate--r+` `distribute-lft-out--`
6×	`add-log-exp`
4×	`distribute-rgt-in` `pow1` `distribute-lft-in` `add-cbrt-cube` `associate--l+` `add-exp-log` `insert-posit16`
3×	`sub-neg` `pow1/3`
2×	`+-commutative`
1×	`diff-log`

Counts

4 → 230853

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
2.0ms	(cbrt t)
34.2s	(- (* (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))) (/ (* (cbrt z) (sqrt (+ t a))) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series1.3s

Counts

4 → 12

Calls

4 calls:

379.0ms	(cbrt t)
325.0ms	(cbrt t)
316.0ms	(cbrt t)
321.0ms	(- (* (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))) (/ (* (cbrt z) (sqrt (+ t a))) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify7.1m

Iterations

Iter	Nodes
0	396560