Details

sample42.0ms

Algorithm

intervals

Results

22.0ms

349×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5003
7	1501
6	454
5	215
4	152
3	92
2	44
1	25
0	14

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.9b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* z 2.0) (- 1.0 t))
0.0b	(+ 2.0 (* (* z 2.0) (- 1.0 t)))
0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
12.9b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

29.0ms	(* (* z 2.0) (- 1.0 t))
11.0ms	(+ 2.0 (* (* z 2.0) (- 1.0 t)))
42.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
31.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series228.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (* z 2.0) (- 1.0 t))
36.0ms	(+ 2.0 (* (* z 2.0) (- 1.0 t)))
68.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
71.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify1.5s

Counts

89 → 89

Iterations

Iter	Nodes
done	5003
2	1681
1	449
0	150

prune496.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) (+ (- (/ 2.0 (* z t)) 2.0) (/ 2.0 t)))
0.0b	(+ (- (/ 2.0 (* z t)) 2.0) (/ 2.0 t))
1.0b	(/ 2.0 (* z t))

rewrite409.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
17×	`add-log-exp`
8×	`add-cbrt-cube` `frac-add` `add-exp-log`
7×	`sum-log` `distribute-lft-out`
5×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`pow1` `flip3-+` `times-frac` `flip-+` `associate-/l*`
2×	`cbrt-undiv` `+-commutative` `associate-+l+` `flip3--` `diff-log` `div-exp` `associate-+l-` `flip--` `distribute-lft-out--`
1×	`associate-+r+` `clear-num` `associate-+r-` `associate-/r*` `sub-neg` `frac-2neg` `prod-exp` `cbrt-unprod` `div-inv`

Counts

3 → 62

Calls

3 calls:

246.0ms	(+ (/ x y) (+ (- (/ 2.0 (* z t)) 2.0) (/ 2.0 t)))
151.0ms	(+ (- (/ 2.0 (* z t)) 2.0) (/ 2.0 t))
9.0ms	(/ 2.0 (* z t))

series172.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(+ (/ x y) (+ (- (/ 2.0 (* z t)) 2.0) (/ 2.0 t)))
51.0ms	(+ (- (/ 2.0 (* z t)) 2.0) (/ 2.0 t))
34.0ms	(/ 2.0 (* z t))

simplify1.4s

Counts

71 → 71

Iterations

Iter	Nodes
done	5001
2	1737
1	412
0	143

prune325.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (+ (- (/ 2.0 (* z t)) 2.0) (/ 2.0 t)))
1.0b	(/ 2.0 (* z t))
1.0b	(/ 2.0 (* z t))
1.0b	(/ 2.0 (* z t))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-cbrt-cube` `add-exp-log`
16×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac` `associate-/l*`
6×	`cbrt-undiv` `div-exp`
5×	`cbrt-prod`
4×	`pow1` `cbrt-div` `add-log-exp`
3×	`clear-num` `associate-/r*` `frac-2neg` `prod-exp` `cbrt-unprod` `div-inv`
2×	`frac-add` `distribute-lft-out`
1×	`flip3-+` `flip3--` `pow1/3` `flip-+` `flip--` `distribute-lft-out--`

Counts

4 → 80

Calls

4 calls:

82.0ms	(cbrt (+ (- (/ 2.0 (* z t)) 2.0) (/ 2.0 t)))
11.0ms	(/ 2.0 (* z t))
7.0ms	(/ 2.0 (* z t))
6.0ms	(/ 2.0 (* z t))

series360.0ms

Counts

4 → 12

Calls

4 calls:

260.0ms	(cbrt (+ (- (/ 2.0 (* z t)) 2.0) (/ 2.0 t)))
32.0ms	(/ 2.0 (* z t))
38.0ms	(/ 2.0 (* z t))
29.0ms	(/ 2.0 (* z t))

simplify1.3s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	1094
1	320
0	133

prune612.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 2.0 (* (* z 2.0) (- 1.0 t)))
0.0b	(+ (/ x y) (/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z))
9.5b	(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z)
12.0b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t)

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

86×	`times-frac`
60×	`*-un-lft-identity`
54×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`associate-/l*`
11×	`add-cbrt-cube` `add-exp-log`
8×	`add-log-exp`
6×	`associate-/r*` `div-inv`
4×	`pow1` `cbrt-undiv` `associate-+r+` `div-exp`
3×	`flip3-+` `flip-+` `associate-/l/`
2×	`distribute-rgt-in` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `distribute-lft-in` `distribute-lft-out`
1×	`frac-add`

Counts

4 → 128

Calls

4 calls:

6.0ms	(+ 2.0 (* (* z 2.0) (- 1.0 t)))
73.0ms	(+ (/ x y) (/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z))
47.0ms	(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z)
41.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t)

series309.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ 2.0 (* (* z 2.0) (- 1.0 t)))
82.0ms	(+ (/ x y) (/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z))
105.0ms	(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z)
80.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t)

simplify1.3s

Counts

140 → 140

Iterations

Iter	Nodes
done	5001
2	1747
1	571
0	224

prune898.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes286.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	12

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.2s

10508×

body

valid