Details

sample27.0ms

Algorithm

intervals

Results

11.0ms

329×

body

valid

simplify51.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	8
1	47	8
2	96	8
3	165	8
4	241	8
5	390	8
6	1193	8
7	5002	8
done	5002	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.4b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* z 2.0) (- 1.0 t))
0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
9.4b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

27.0ms	(* (* z 2.0) (- 1.0 t))
28.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
30.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series153.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(* (* z 2.0) (- 1.0 t))
52.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
60.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify46.0ms

Counts

71 → 71

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	415	543
1	1753	476
2	5001	473
done	5001	473

prune146.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ 2.0 z) 2.0)
0.0b	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
0.2b	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`associate-l`
12×	`add-exp-log`
11×	`add-cube-cbrt` `times-frac`
10×	`add-log-exp`
8×	`add-cbrt-cube`
5×	`pow1`
4×	`associate-+r+` `flip3-+` `associate-r` `prod-exp` `flip-+`
3×	`sum-log` `distribute-lft-out` `unswap-sqr`
2×	`+-commutative` `distribute-rgt-in` `frac-times` `distribute-lft-in` `associate-*r/` `div-exp` `frac-add` `associate--l+` `cbrt-unprod`
1×	`cbrt-undiv` `associate-+r-` `sub-neg` `rec-exp` `flip3--` `diff-log` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `flip--` `div-inv`

Counts

3 → 74

Calls

3 calls:

14.0ms	(+ (/ 2.0 z) 2.0)
64.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
53.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series129.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (/ 2.0 z) 2.0)
57.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
40.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify50.0ms

Counts

83 → 83

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	499	587
1	2115	523
2	5001	506
done	5001	506

prune175.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (/ 1 t) (* (cbrt (+ (/ 2.0 z) 2.0)) (cbrt (+ (/ 2.0 z) 2.0))))
0.8b	(cbrt (+ (/ 2.0 z) 2.0))
0.8b	(cbrt (+ (/ 2.0 z) 2.0))
0.8b	(cbrt (+ (/ 2.0 z) 2.0))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-div`
26×	`add-exp-log`
21×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
16×	`frac-times`
15×	`flip3-+` `flip-+`
14×	`add-cube-cbrt`
13×	`associate-l`
12×	`cbrt-prod` `associate-*r/` `prod-exp` `add-cbrt-cube`
11×	`times-frac`
9×	`pow1`
6×	`cbrt-unprod`
5×	`associate-*l/`
4×	`div-exp` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `distribute-lft-out` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp`
1×	`associate-r` `*-commutative` `div-inv`

Counts

4 → 98

Calls

4 calls:

94.0ms	(* (/ 1 t) (* (cbrt (+ (/ 2.0 z) 2.0)) (cbrt (+ (/ 2.0 z) 2.0))))
9.0ms	(cbrt (+ (/ 2.0 z) 2.0))
9.0ms	(cbrt (+ (/ 2.0 z) 2.0))
10.0ms	(cbrt (+ (/ 2.0 z) 2.0))

series468.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(* (/ 1 t) (* (cbrt (+ (/ 2.0 z) 2.0)) (cbrt (+ (/ 2.0 z) 2.0))))
92.0ms	(cbrt (+ (/ 2.0 z) 2.0))
93.0ms	(cbrt (+ (/ 2.0 z) 2.0))
95.0ms	(cbrt (+ (/ 2.0 z) 2.0))

simplify55.0ms

Counts

110 → 110

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	572	1220
1	2165	1098
2	5002	1023
done	5002	1023

prune316.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* z 2.0) (- 1.0 t))
0.0b	(+ (/ x y) (/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z))
8.3b	(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z)
8.6b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t)

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 139

Calls

4 calls:

26.0ms	(* (* z 2.0) (- 1.0 t))
48.0ms	(+ (/ x y) (/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z))
30.0ms	(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z)
27.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t)

series216.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (* z 2.0) (- 1.0 t))
50.0ms	(+ (/ x y) (/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z))
64.0ms	(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z)
56.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t)

simplify69.0ms

Counts

151 → 151

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	648	1506
1	2536	1409
2	5001	1409
done	5001	1409

prune362.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes104.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	7
1	18	7
done	18	7

end0.0ms

sample738.0ms

Algorithm

intervals

Results

390.0ms

10496×

body

valid