Details

sample23.0ms

Algorithm

intervals

Results

9.0ms	268×	body	80	valid
1.0ms	5×	body	1280	valid

simplify529.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	22	13
2	37	13
3	61	13
4	95	13
5	126	13
6	159	13
7	191	13
8	245	13
9	316	13
10	404	13
11	448	13
12	524	13
13	546	13
done	546	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 60.0 (- x y))
0.0b	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
0.3b	(/ (* 60.0 (- x y)) (- z t))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

11.0ms	(* 60.0 (- x y))
25.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
10.0ms	(/ (* 60.0 (- x y)) (- z t))

series208.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(* 60.0 (- x y))
120.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
59.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify1.8s

Counts

75 → 75

Iterations

Useful iterations: 3 (870.0ms)

Iter	Nodes	Cost
0	138	885
1	367	838
2	1175	752
3	4696	746
done	5000	746

prune193.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- x y))
0.0b	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
0.6b	(/ 60.0 (/ (- z t) (- x y)))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
195×	`add-sqr-sqrt` `*-un-lft-identity`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+`

Counts

3 → 205

Calls

3 calls:

11.0ms	(/ (- z t) (- x y))
82.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
15.0ms	(/ 60.0 (/ (- z t) (- x y)))

series483.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/ (- z t) (- x y))
152.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
279.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify921.0ms

Counts

214 → 214

Iterations

Useful iterations: 2 (301.0ms)

Iter	Nodes	Cost
0	300	3766
1	728	3523
2	2504	3409
done	5000	3409

prune558.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
0.0b	(/ (- x y) (- z t))
0.3b	(* 60.0 (/ (- x y) (- z t)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 113

Calls

3 calls:

11.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
11.0ms	(/ (- x y) (- z t))
27.0ms	(* 60.0 (/ (- x y) (- z t)))

series233.0ms

Counts

3 → 9

Calls

3 calls:

121.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
54.0ms	(/ (- x y) (- z t))
59.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify1.6s

Counts

122 → 122

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	170	1605
1	449	1510
2	1234	1416
3	3880	1410
done	5000	1408

prune306.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 60.0 (- z t))
0.0b	(+ (pow (* (- x y) (/ 60.0 (- z t))) 1) (* a 120.0))
0.3b	(* (- x y) (/ 60.0 (- z t)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 94

Calls

3 calls:

5.0ms	(/ 60.0 (- z t))
5.0ms	(+ (pow (* (- x y) (/ 60.0 (- z t))) 1) (* a 120.0))
26.0ms	(* (- x y) (/ 60.0 (- z t)))

series228.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ 60.0 (- z t))
121.0ms	(+ (pow (* (- x y) (/ 60.0 (- z t))) 1) (* a 120.0))
62.0ms	(* (- x y) (/ 60.0 (- z t)))

simplify870.0ms

Counts

103 → 103

Iterations

Useful iterations: 2 (190.0ms)

Iter	Nodes	Cost
0	166	1299
1	405	1178
2	1459	1092
done	5000	1092

prune288.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes386.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	13
1	15	13
done	15	13

end0.0ms

sample585.0ms

Algorithm

intervals

Results

294.0ms	8513×	body	80	valid
6.0ms	40×	body	1280	valid
5.0ms	39×	body	640	valid
5.0ms	24×	body	2560	valid
2.0ms	25×	body	320	valid
1.0ms	10×	body	160	valid