Details

sample64.0ms

Algorithm

intervals

Results

33.0ms

361×

body

valid

simplify4.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	27	13
2	90	13
3	288	13
4	751	13
5	1296	13
6	1556	13
7	1580	13
done	1580	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize29.0ms

Local error

Found 3 expressions with local error:

0.3b	(- (* x y) (* (* z 9.0) t))
0.3b	(* (* z 9.0) t)
5.9b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `times-frac` `associate-r` `pow-prod-down` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `associate-l` `prod-diff` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 62

Calls

3 calls:

19.0ms	(- (* x y) (* (* z 9.0) t))
37.0ms	(* (* z 9.0) t)
45.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series259.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(- (* x y) (* (* z 9.0) t))
32.0ms	(* (* z 9.0) t)
130.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.6s

Counts

71 → 71

Iterations

Useful iterations: 2 (257.0ms)

Iter	Nodes	Cost
0	127	944
1	344	906
2	1429	787
done	5001	787

prune307.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.7b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
0.2b	(* 4.5 (/ (* t z) a))
5.4b	(/ (* x y) a)
5.5b	(/ (* t z) a)

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
13×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`associate-r`
6×	`pow1` `cbrt-undiv` `div-exp` `prod-exp` `associate-/r*` `cbrt-unprod` `add-log-exp`
5×	`associate-*r/`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-l` `div-inv`
2×	`frac-2neg` `clear-num` `associate-/l*`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `sub-div` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

37.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
36.0ms	(* 4.5 (/ (* t z) a))
19.0ms	(/ (* x y) a)
27.0ms	(/ (* t z) a)

series235.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
40.0ms	(* 4.5 (/ (* t z) a))
30.0ms	(/ (* x y) a)
32.0ms	(/ (* t z) a)

simplify1.5s

Counts

105 → 105

Iterations

Useful iterations: 2 (301.0ms)

Iter	Nodes	Cost
0	157	1165
1	399	1114
2	1475	975
done	5000	975

prune380.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.5b

localize23.0ms

Local error

Found 3 expressions with local error:

0.2b	(* z (* 9.0 t))
0.3b	(- (* x y) (* z (* 9.0 t)))
5.9b	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `times-frac` `associate-l` `pow-prod-down` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `associate-r` `prod-diff` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 62

Calls

3 calls:

41.0ms	(* z (* 9.0 t))
19.0ms	(- (* x y) (* z (* 9.0 t)))
45.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series221.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(* z (* 9.0 t))
61.0ms	(- (* x y) (* z (* 9.0 t)))
129.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify1.5s

Counts

71 → 71

Iterations

Useful iterations: 2 (262.0ms)

Iter	Nodes	Cost
0	125	941
1	339	905
2	1297	786
done	5001	786

prune303.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.5b

localize25.0ms

Local error

Found 3 expressions with local error:

0.2b	(* z (* 9.0 t))
0.3b	(- (* x y) (* z (* 9.0 t)))
5.9b	(* (- (* x y) (* z (* 9.0 t))) (/ 1 (* a 2.0)))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
17×	`add-cbrt-cube`
13×	`prod-exp`
10×	`pow1`
9×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-cube-cbrt` `*-un-lft-identity` `cbrt-unprod`
6×	`associate-l`
5×	`add-log-exp`
4×	`div-exp` `pow-prod-down`
3×	`expm1-log1p-u` `flip3--` `times-frac` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-l/` `-commutative`
1×	`sub-neg` `fma-neg` `diff-log` `associate-*r/` `prod-diff` `un-div-inv` `div-inv` `unswap-sqr`

Counts

3 → 74

Calls

3 calls:

35.0ms	(* z (* 9.0 t))
20.0ms	(- (* x y) (* z (* 9.0 t)))
106.0ms	(* (- (* x y) (* z (* 9.0 t))) (/ 1 (* a 2.0)))

series207.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* z (* 9.0 t))
83.0ms	(- (* x y) (* z (* 9.0 t)))
89.0ms	(* (- (* x y) (* z (* 9.0 t))) (/ 1 (* a 2.0)))

simplify1.5s

Counts

83 → 83

Iterations

Useful iterations: 2 (321.0ms)

Iter	Nodes	Cost
0	153	1234
1	389	1114
2	1410	955
done	5000	955

prune238.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.5b

Details

sample64.0ms

simplify4.7s

prune2.0ms

localize29.0ms

rewrite104.0ms

series259.0ms

simplify1.6s

prune307.0ms

localize22.0ms

rewrite125.0ms

series235.0ms

simplify1.5s

prune380.0ms

localize23.0ms

rewrite108.0ms

series221.0ms

simplify1.5s

prune303.0ms

localize25.0ms

rewrite166.0ms

series207.0ms

simplify1.5s

prune238.0ms

regimes6.0ms