Details

sample31.0ms

Algorithm

intervals

Results

12.0ms

266×

body

valid

simplify1.1s

Counts: 1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize18.0ms

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)
7.9b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite257.0ms

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-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`associate-+l-` `sub-neg` `flip3-+` `diff-log` `associate-/r/` `flip-+` `associate--r-`

Counts

3 → 192

Calls

3 calls:

101.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
72.0ms	(/ (+ (- t z) 1.0) a)
70.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series352.0ms

Counts

3 → 9

Calls

3 calls:

134.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
47.0ms	(/ (+ (- t z) 1.0) a)
171.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify875.0ms

Counts: 201 → 201

prune802.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
0.0b	(/ (- y z) (+ (- t z) 1.0))
0.3b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite168.0ms

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-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`associate-r`
2×	`cbrt-undiv` `flip3--` `flip3-+` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `flip-+` `div-inv` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

3 → 114

Calls

3 calls:

5.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
48.0ms	(/ (- y z) (+ (- t z) 1.0))
110.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series345.0ms

Counts

3 → 9

Calls

3 calls:

131.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
66.0ms	(/ (- y z) (+ (- t z) 1.0))
148.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify644.0ms

Counts: 123 → 123

prune358.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (/ (- y z) (+ (- t z) 1.0))) (cbrt (/ (- y z) (+ (- t z) 1.0))))
2.8b	(cbrt (/ (- y z) (+ (- t z) 1.0)))
2.8b	(cbrt (/ (- y z) (+ (- t z) 1.0)))
2.8b	(cbrt (/ (- y z) (+ (- t z) 1.0)))

rewrite373.0ms

Algorithm

rewrite-expression-head

Rules

624×	`*-un-lft-identity`
333×	`cbrt-prod`
285×	`times-frac`
219×	`add-sqr-sqrt`
136×	`distribute-lft-out--`
134×	`distribute-lft-out`
101×	`add-cube-cbrt`
86×	`swap-sqr`
47×	`difference-of-squares`
34×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3-+` `flip-+` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 304

Calls

4 calls:

253.0ms	(* (cbrt (/ (- y z) (+ (- t z) 1.0))) (cbrt (/ (- y z) (+ (- t z) 1.0))))
31.0ms	(cbrt (/ (- y z) (+ (- t z) 1.0)))
34.0ms	(cbrt (/ (- y z) (+ (- t z) 1.0)))
22.0ms	(cbrt (/ (- y z) (+ (- t z) 1.0)))

series651.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(* (cbrt (/ (- y z) (+ (- t z) 1.0))) (cbrt (/ (- y z) (+ (- t z) 1.0))))
159.0ms	(cbrt (/ (- y z) (+ (- t z) 1.0)))
166.0ms	(cbrt (/ (- y z) (+ (- t z) 1.0)))
165.0ms	(cbrt (/ (- y z) (+ (- t z) 1.0)))

simplify696.0ms

Counts: 316 → 316

prune857.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (- y z) (/ a (+ (- t z) 1.0))))
0.0b	(/ a (+ (- t z) 1.0))
7.3b	(* (- y z) (/ a (+ (- t z) 1.0)))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 95

Calls

3 calls:

8.0ms	(- x (* (- y z) (/ a (+ (- t z) 1.0))))
41.0ms	(/ a (+ (- t z) 1.0))
117.0ms	(* (- y z) (/ a (+ (- t z) 1.0)))

series285.0ms

Counts

3 → 9

Calls

3 calls:

142.0ms	(- x (* (- y z) (/ a (+ (- t z) 1.0))))
44.0ms	(/ a (+ (- t z) 1.0))
98.0ms	(* (- y z) (/ a (+ (- t z) 1.0)))

simplify708.0ms

Counts: 104 → 104

prune278.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes146.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.1s

end0.0ms

sample1.2s

Algorithm

intervals

Results

544.0ms	8486×	body	80	valid
0.0ms	1×	body	320	valid