Details

sample53.0ms

Algorithm

intervals

Results

20.0ms

347×

body

valid

simplify44.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.9b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y (- z t)) a))
0.0b	(* y (- z t))
5.4b	(/ (* y (- z t)) a)

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `associate-r` `add-log-exp`
4×	`associate-*r/`
3×	`sub-neg` `flip3--` `times-frac` `associate-l` `associate-/r*` `flip--`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`frac-2neg` `diff-log` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

13.0ms	(- x (/ (* y (- z t)) a))
42.0ms	(* y (- z t))
16.0ms	(/ (* y (- z t)) a)

series173.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(- x (/ (* y (- z t)) a))
46.0ms	(* y (- z t))
69.0ms	(/ (* y (- z t)) a)

simplify26.0ms

Counts: 72 → 72

prune174.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
0.6b	(cbrt a)
5.4b	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
40×	`times-frac`
38×	`*-un-lft-identity`
34×	`associate-r`
26×	`cbrt-prod` `add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
1.0ms	(cbrt a)
62.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series790.0ms

Counts

4 → 12

Calls

4 calls:

233.0ms	(cbrt a)
250.0ms	(cbrt a)
201.0ms	(cbrt a)
105.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify68.0ms

Counts: 116 → 116

prune471.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
1.9b	(* y (/ (- z t) (cbrt a)))
3.0b	(/ (* y (/ (- z t) (cbrt a))) (* (cbrt a) (cbrt a)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
34×	`associate-r`
33×	`times-frac`
30×	`add-exp-log`
24×	`add-cube-cbrt`
22×	`cbrt-prod`
21×	`add-cbrt-cube`
9×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
6×	`pow1` `distribute-lft-out--` `difference-of-squares`
4×	`add-log-exp`
3×	`associate-l` `unswap-sqr`
2×	`pow1/3` `associate-*r/` `div-inv`
1×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `associate-/l/` `associate-/l*`

Counts

4 → 102

Calls

4 calls:

2.0ms	(cbrt a)
2.0ms	(cbrt a)
47.0ms	(* y (/ (- z t) (cbrt a)))
42.0ms	(/ (* y (/ (- z t) (cbrt a))) (* (cbrt a) (cbrt a)))

series790.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(cbrt a)
225.0ms	(cbrt a)
213.0ms	(* y (/ (- z t) (cbrt a)))
126.0ms	(/ (* y (/ (- z t) (cbrt a))) (* (cbrt a) (cbrt a)))

simplify60.0ms

Counts: 114 → 114

prune387.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.9b	(* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (- z t)) (cbrt a)))
3.0b	(/ (* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (- z t)) (cbrt a))) (* (cbrt a) (cbrt a)))

rewrite546.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-exp-log`
64×	`cbrt-prod`
56×	`associate-*l/`
52×	`cbrt-div` `associate-r`
51×	`add-sqr-sqrt` `*-un-lft-identity`
49×	`times-frac`
46×	`add-cbrt-cube`
43×	`prod-exp` `cbrt-unprod`
35×	`add-cube-cbrt`
32×	`frac-times`
26×	`flip3--` `flip--`
23×	`cbrt-undiv` `div-exp`
17×	`associate-/l/`
13×	`pow1`
10×	`associate-*r/`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`pow-prod-down`
4×	`add-log-exp`
2×	`pow1/3` `div-inv`
1×	`frac-2neg` `associate-l` `clear-num` `associate-/r` `-commutative` `associate-/l*`

Counts

4 → 181

Calls

4 calls:

6.0ms	(cbrt (- z t))
6.0ms	(cbrt (- z t))
313.0ms	(* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (- z t)) (cbrt a)))
204.0ms	(/ (* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (- z t)) (cbrt a))) (* (cbrt a) (cbrt a)))

series642.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(cbrt (- z t))
181.0ms	(cbrt (- z t))
182.0ms	(* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (- z t)) (cbrt a)))
112.0ms	(/ (* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (- z t)) (cbrt a))) (* (cbrt a) (cbrt a)))

simplify40.0ms

Counts: 193 → 193

prune955.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes592.0ms

Accuracy

-84.7% (6.3b remaining)

Error of 6.4b against oracle of 0.0b and baseline of 3.5b

bsearch2.0ms

simplify41.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

566.0ms

10703×

body

valid