Details

sample165.0ms

Algorithm

intervals

Results

62.0ms	760×	body	80	nan
35.0ms	256×	body	80	valid

simplify677.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ x (* y 27.0))
1.0b	(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
3.0b	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.9b	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

88×	`add-exp-log` `add-cbrt-cube`
36×	`prod-exp` `cbrt-unprod`
27×	`cbrt-undiv` `div-exp`
26×	`add-sqr-sqrt`
18×	`associate-l`
17×	`add-cube-cbrt` `*-un-lft-identity`
15×	`times-frac`
9×	`associate-r`
8×	`pow1`
4×	`sqrt-prod` `div-inv` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `associate-/r` `*-commutative`
1×	`associate-*r/` `associate-/l/`

Counts

4 → 124

Calls

4 calls:

13.0ms	(/ x (* y 27.0))
17.0ms	(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
101.0ms	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
63.0ms	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series205.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ x (* y 27.0))
21.0ms	(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
120.0ms	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
43.0ms	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.4s

Counts: 136 → 136

prune437.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.0b	(/ (sqrt 1.0) (cbrt 3.0))
3.0b	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.9b	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite215.0ms

Algorithm

rewrite-expression-head

Rules

85×	`add-exp-log`
83×	`add-cbrt-cube`
79×	`add-sqr-sqrt`
78×	`times-frac`
61×	`add-cube-cbrt` `*-un-lft-identity`
45×	`associate-l` `sqrt-prod`
41×	`cbrt-prod`
35×	`prod-exp` `cbrt-unprod`
26×	`cbrt-undiv` `div-exp`
9×	`associate-r`
8×	`pow1`
7×	`associate-/r` `associate-/l` `unswap-sqr`
4×	`div-inv` `add-log-exp`
2×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative`
1×	`associate-*r/` `associate-/l/`

Counts

4 → 193

Calls

4 calls:

42.0ms	(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
12.0ms	(/ (sqrt 1.0) (cbrt 3.0))
99.0ms	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
42.0ms	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series300.0ms

Counts

4 → 10

Calls

4 calls:

131.0ms	(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms	(/ (sqrt 1.0) (cbrt 3.0))
127.0ms	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
42.0ms	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.4s

Counts: 203 → 203

prune969.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (sqrt 1.0)) (cbrt 3.0))
0.2b	(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
3.0b	(* (sqrt t) (/ x (* z y)))
6.5b	(/ x (* z y))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-exp-log`
35×	`add-cbrt-cube`
19×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
14×	`prod-exp` `cbrt-unprod`
12×	`times-frac`
11×	`pow1`
9×	`associate-l`
8×	`cbrt-undiv` `div-exp` `associate-r`
7×	`associate-/r*`
6×	`cbrt-prod`
4×	`pow-prod-down` `sqrt-prod` `associate-/l*` `add-log-exp`
3×	`associate-*r/` `div-inv`
2×	`frac-2neg` `clear-num` `*-commutative` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

23.0ms	(/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (sqrt 1.0)) (cbrt 3.0))
81.0ms	(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
49.0ms	(* (sqrt t) (/ x (* z y)))
12.0ms	(/ x (* z y))

series319.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (sqrt 1.0)) (cbrt 3.0))
86.0ms	(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
80.0ms	(* (sqrt t) (/ x (* z y)))
28.0ms	(/ x (* z y))

simplify927.0ms

Counts: 114 → 114

prune512.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (sqrt 1.0)) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0)))) (cbrt (cbrt 3.0)))
0.2b	(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
3.0b	(* (sqrt t) (/ x (* z y)))
6.5b	(/ x (* z y))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

61×	`times-frac`
54×	`cbrt-prod`
50×	`add-exp-log`
43×	`add-sqr-sqrt`
41×	`add-cbrt-cube`
39×	`add-cube-cbrt` `*-un-lft-identity`
17×	`prod-exp` `cbrt-unprod`
15×	`cbrt-undiv` `div-exp`
13×	`div-inv`
11×	`pow1`
10×	`associate-/r*`
9×	`associate-l`
8×	`associate-r` `associate-/l*`
4×	`pow-prod-down` `sqrt-prod` `add-log-exp`
3×	`associate-*r/`
2×	`frac-2neg` `clear-num` `*-commutative` `unswap-sqr`
1×	`associate-/l/`

Counts

4 → 155

Calls

4 calls:

46.0ms	(/ (/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (sqrt 1.0)) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0)))) (cbrt (cbrt 3.0)))
77.0ms	(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
48.0ms	(* (sqrt t) (/ x (* z y)))
13.0ms	(/ x (* z y))

series425.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(/ (/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (sqrt 1.0)) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0)))) (cbrt (cbrt 3.0)))
105.0ms	(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
118.0ms	(* (sqrt t) (/ x (* z y)))
31.0ms	(/ x (* z y))

simplify1.3s

Counts: 167 → 167

prune915.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify857.0ms

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.6s	23530×	body	80	nan
1.2s	8000×	body	80	valid