Details

sample65.0ms

Algorithm

intervals

Results

20.0ms	279×	body	80	valid
1.0ms	3×	body	2560	valid

simplify8.7s

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

prune65.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize43.0ms

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))
0.2b	(/ (* 60.0 (- x y)) (- z t))

rewrite241.0ms

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` `insert-posit16` `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 → 104

Calls

3 calls:

93.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
61.0ms	(* 60.0 (- x y))
71.0ms	(/ (* 60.0 (- x y)) (- z t))

series406.0ms

Counts

3 → 9

Calls

3 calls:

238.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
48.0ms	(* 60.0 (- x y))
119.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify3.1s

Counts

113 → 113

Iterations

Iter	Nodes
done	5000
2	1366
1	490
0	195

prune1.5s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 2 expressions with local error:

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-cbrt-cube` `add-exp-log`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `fma-udef` `div-inv`

Counts

2 → 66

Calls

2 calls:

53.0ms	(/ (- x y) (- z t))
1.0ms	(fma (/ 60.0 1) (/ (- x y) (- z t)) (* a 120.0))

series354.0ms

Counts

2 → 6

Calls

2 calls:

112.0ms	(/ (- x y) (- z t))
241.0ms	(fma (/ 60.0 1) (/ (- x y) (- z t)) (* a 120.0))

simplify3.7s

Counts

72 → 72

Iterations

Iter	Nodes
done	5004
3	2151
2	707
1	283
0	124

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 3 expressions with local error:

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

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
19×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `times-frac` `associate-r*` `add-log-exp`
4×	`associate-*r/`
3×	`expm1-log1p-u` `flip3--` `associate-l` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `sub-neg` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `flip3-+` `pow-prod-down` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 94

Calls

3 calls:

61.0ms	(+ (* a 120.0) (/ (* 60.0 (- x y)) (- z t)))
69.0ms	(* 60.0 (- x y))
48.0ms	(/ (* 60.0 (- x y)) (- z t))

series462.0ms

Counts

3 → 9

Calls

3 calls:

252.0ms	(+ (* a 120.0) (/ (* 60.0 (- x y)) (- z t)))
59.0ms	(* 60.0 (- x y))
151.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify7.4s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
3	4973
2	1360
1	492
0	195

prune1.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z t))
0.0b	(* 60.0 (- x y))
0.2b	(fma (* 60.0 (- x y)) (/ 1 (- z t)) (* a 120.0))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
27×	`add-cube-cbrt`
18×	`prod-diff`
15×	`times-frac`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`pow1`
5×	`associate-/r` `associate-r*` `distribute-lft-out--` `difference-of-squares`
3×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`sub-neg` `flip3--` `div-exp` `associate-*r/` `associate-/r/` `flip--`
1×	`cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `1-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `div-inv` `pow-flip` `inv-pow` `unswap-sqr`

Counts

3 → 102

Calls

3 calls:

21.0ms	(/ 1 (- z t))
48.0ms	(* 60.0 (- x y))
1.0ms	(fma (* 60.0 (- x y)) (/ 1 (- z t)) (* a 120.0))

series346.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(/ 1 (- z t))
67.0ms	(* 60.0 (- x y))
202.0ms	(fma (* 60.0 (- x y)) (/ 1 (- z t)) (* a 120.0))

simplify4.4s

Counts

111 → 111

Iterations

Iter	Nodes
done	5005
3	2399
2	840
1	396
0	194

prune1.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes3.3s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	17
1	17
0	14

end0.0ms

sample1.3s

Algorithm

intervals

Results

634.0ms	8541×	body	80	valid
16.0ms	52×	body	1280	valid
10.0ms	40×	body	640	valid
7.0ms	18×	body	2560	valid
3.0ms	18×	body	320	valid
1.0ms	9×	body	160	valid