Details

sample40.0ms

Algorithm

intervals

Results

17.0ms	292×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid

simplify4.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
22	4974
21	4712
20	4407
19	4147
18	3842
17	3580
16	3270
15	2998
14	2618
13	2048
12	1486
11	1045
10	683
9	442
8	352
7	271
6	212
5	156
4	101
3	58
2	37
1	22
0	13

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 60.0 (- z t))
0.1b	(fma (/ 60.0 (- z t)) (- x y) (* a 120.0))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*`
4×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/l*`
2×	`expm1-log1p-u` `pow1` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `fma-udef` `div-inv` `flip--`

Counts

2 → 49

Calls

2 calls:

19.0ms	(/ 60.0 (- z t))
1.0ms	(fma (/ 60.0 (- z t)) (- x y) (* a 120.0))

series248.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(/ 60.0 (- z t))
184.0ms	(fma (/ 60.0 (- z t)) (- x y) (* a 120.0))

simplify1.4s

Counts

55 → 55

Iterations

Iter	Nodes
done	5001
3	1484
2	496
1	187
0	98

prune408.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z t))
0.1b	(fma (* 60.0 (/ 1 (- z t))) (- x y) (* a 120.0))
0.3b	(* 60.0 (/ 1 (- z t)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
32×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-/r*`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `flip3--` `1-exp` `cbrt-unprod` `div-inv` `flip--`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `fma-udef` `pow-flip` `inv-pow`

Counts

3 → 99

Calls

3 calls:

13.0ms	(/ 1 (- z t))
0.0ms	(fma (* 60.0 (/ 1 (- z t))) (- x y) (* a 120.0))
25.0ms	(* 60.0 (/ 1 (- z t)))

series339.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(/ 1 (- z t))
205.0ms	(fma (* 60.0 (/ 1 (- z t))) (- x y) (* a 120.0))
66.0ms	(* 60.0 (/ 1 (- z t)))

simplify1.8s

Counts

108 → 108

Iterations

Iter	Nodes
done	5001
3	1983
2	812
1	307
0	138

prune600.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
0.0b	(* 60.0 (- x y))
0.7b	(/ (* 60.0 (- x y)) (- z t))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `fma-def` `distribute-lft-in`
10×	`times-frac` `add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `associate-r*` `add-log-exp`
4×	`flip3--` `associate-*r/` `associate-/r/` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u`
2×	`cbrt-undiv` `sub-neg` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `pow-prod-down` `-commutative` `flip-+` `associate-/l` `unswap-sqr`

Counts

3 → 101

Calls

3 calls:

57.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
20.0ms	(* 60.0 (- x y))
28.0ms	(/ (* 60.0 (- x y)) (- z t))

series294.0ms

Counts

3 → 9

Calls

3 calls:

160.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
35.0ms	(* 60.0 (- x y))
99.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify3.4s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
3	4985
2	1351
1	484
0	192

prune627.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
0.0b	(/ (- z t) (- x y))
0.2b	(/ 60.0 (/ (- z t) (- x y)))

rewrite268.0ms

Algorithm

rewrite-expression-head

Rules

386×	`times-frac`
320×	`add-sqr-sqrt` `*-un-lft-identity`
156×	`add-cube-cbrt`
98×	`fma-def`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
18×	`associate-/r/`
10×	`add-cbrt-cube` `add-exp-log` `div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3-+` `div-sub` `flip-+`

Counts

3 → 309

Calls

3 calls:

151.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
44.0ms	(/ (- z t) (- x y))
39.0ms	(/ 60.0 (/ (- z t) (- x y)))

series712.0ms

Counts

3 → 9

Calls

3 calls:

221.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
98.0ms	(/ (- z t) (- x y))
393.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify2.3s

Counts

318 → 318

Iterations

Iter	Nodes
done	5002
2	3081
1	837
0	306

prune2.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes884.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	13
1	13
0	12

end0.0ms

sample1.2s

Algorithm

intervals

Results

760.0ms	8582×	body	80	valid
14.0ms	48×	body	1280	valid
12.0ms	19×	body	2560	valid
8.0ms	36×	body	640	valid
3.0ms	16×	body	320	valid
1.0ms	10×	body	160	valid