Details

sample44.0ms

Algorithm

intervals

Results

24.0ms

491×

body

valid

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	19	13
2	50	13
3	159	13
4	298	13
5	384	13
6	392	13
7	463	13
8	620	13
9	632	13
done	632	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
0.0b	(- (* z z) t)
6.4b	(* (* y 4.0) (- (* z z) t))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

8×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-log-exp`
6×	`add-sqr-sqrt` `sub-neg`
4×	`distribute-rgt-in` `add-cube-cbrt` `-un-lft-identity` `distribute-lft-in` `associate-r*` `associate--r+`
3×	`flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
2×	`diff-log` `associate-*r/` `difference-of-squares`
1×	`associate-l` `*-commutative`

Counts

3 → 54

Calls

3 calls:

12.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
8.0ms	(- (* z z) t)
71.0ms	(* (* y 4.0) (- (* z z) t))

series214.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
28.0ms	(- (* z z) t)
85.0ms	(* (* y 4.0) (- (* z z) t))

simplify4.6s

Counts

63 → 63

Iterations

Useful iterations: 3 (2.0s)

Iter	Nodes	Cost
0	103	843
1	286	802
2	1013	696
3	4580	690
done	5001	690

prune277.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 3.5b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- (* x x) (* (* y 4.0) (* z z))) (* (- t) (* y 4.0)))
0.0b	(- (* x x) (* (* y 4.0) (* z z)))
10.7b	(* (* y 4.0) (* z z))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-log-exp`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`diff-log`
3×	`add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `*-un-lft-identity`
2×	`flip3--` `associate--l+` `flip--`
1×	`associate--l-` `associate-r` `associate-l` `*-commutative`

Counts

3 → 50

Calls

3 calls:

61.0ms	(- (- (* x x) (* (* y 4.0) (* z z))) (* (- t) (* y 4.0)))
16.0ms	(- (* x x) (* (* y 4.0) (* z z)))
57.0ms	(* (* y 4.0) (* z z))

series234.0ms

Counts

3 → 9

Calls

3 calls:

116.0ms	(- (- (* x x) (* (* y 4.0) (* z z))) (* (- t) (* y 4.0)))
85.0ms	(- (* x x) (* (* y 4.0) (* z z)))
34.0ms	(* (* y 4.0) (* z z))

simplify1.4s

Counts

59 → 59

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	100	988
1	272	925
2	982	741
done	5000	712

prune185.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- (* x x) (* (* (* y 4.0) z) z)) (* (- t) (* y 4.0)))
0.0b	(- (* x x) (* (* (* y 4.0) z) z))
0.1b	(* (* (* y 4.0) z) z)

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-log-exp`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `diff-log`
3×	`sub-neg` `associate-r`
2×	`flip3--` `associate--l+` `flip--`
1×	`associate--l-` `associate-l` `*-commutative`

Counts

3 → 49

Calls

3 calls:

65.0ms	(- (- (* x x) (* (* (* y 4.0) z) z)) (* (- t) (* y 4.0)))
16.0ms	(- (* x x) (* (* (* y 4.0) z) z))
90.0ms	(* (* (* y 4.0) z) z)

series264.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(- (- (* x x) (* (* (* y 4.0) z) z)) (* (- t) (* y 4.0)))
109.0ms	(- (* x x) (* (* (* y 4.0) z) z))
54.0ms	(* (* (* y 4.0) z) z)

simplify1.3s

Counts

58 → 58

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	106	967
1	298	904
2	1143	736
done	5000	705

prune196.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

11.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.3s

Counts

4 → 12

Calls

4 calls:

351.0ms	(* (cbrt z) (cbrt z))
313.0ms	(cbrt z)
301.0ms	(cbrt z)
293.0ms	(cbrt z)

simplify5.3s

Counts

85 → 85

Iterations

Useful iterations: done (5.3s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	319	397
3	1092	379
4	4427	374
done	5001	364

prune468.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

Details

sample44.0ms

simplify1.5s

prune2.0ms

localize12.0ms

rewrite94.0ms

series214.0ms

simplify4.6s

prune277.0ms

localize15.0ms

rewrite136.0ms

series234.0ms

simplify1.4s

prune185.0ms

localize21.0ms

rewrite174.0ms

series264.0ms

simplify1.3s

prune196.0ms

localize19.0ms

rewrite15.0ms

series1.3s

simplify5.3s

prune468.0ms

regimes4.0ms