Details

sample51.0ms

Algorithm

intervals

Results

16.0ms	252×	body	80	valid
3.0ms	14×	body	320	valid
3.0ms	9×	body	1280	valid
2.0ms	11×	body	640	valid
1.0ms	10×	body	160	valid
0.0ms	1×	body	2560	valid

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 3 (40.0ms)

Iter	Nodes	Cost
0	11	13
1	20	13
2	45	13
3	116	12
4	326	12
5	1002	12
6	3984	12
done	5000	12

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.7b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y x) (- a t))
13.2b	(fma (/ (- y x) (- a t)) (- z t) x)

rewrite47.0ms

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-exp-log` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

44.0ms	(/ (- y x) (- a t))
1.0ms	(fma (/ (- y x) (- a t)) (- z t) x)

series268.0ms

Counts

2 → 6

Calls

2 calls:

101.0ms	(/ (- y x) (- a t))
167.0ms	(fma (/ (- y x) (- a t)) (- z t) x)

simplify2.9s

Counts

70 → 70

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	118	918
1	275	890
2	851	838
3	4610	836
done	5000	836

prune350.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 7.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* (- y x) (/ 1 (- a t)))
13.1b	(fma (* (- y x) (/ 1 (- a t))) (- z t) x)

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 105

Calls

3 calls:

21.0ms	(/ 1 (- a t))
61.0ms	(* (- y x) (/ 1 (- a t)))
1.0ms	(fma (* (- y x) (/ 1 (- a t))) (- z t) x)

series273.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(/ 1 (- a t))
66.0ms	(* (- y x) (/ 1 (- a t)))
134.0ms	(fma (* (- y x) (/ 1 (- a t))) (- z t) x)

simplify6.7s

Counts

114 → 114

Iterations

Useful iterations: done (6.7s)

Iter	Nodes	Cost
0	155	1285
1	374	1129
2	2964	954
done	5001	952

prune499.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 7.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y x) (- a t))
13.2b	(fma (/ (- y x) (- a t)) (- z t) x)

rewrite48.0ms

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-exp-log` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

42.0ms	(/ (- y x) (- a t))
0.0ms	(fma (/ (- y x) (- a t)) (- z t) x)

series239.0ms

Counts

2 → 6

Calls

2 calls:

94.0ms	(/ (- y x) (- a t))
146.0ms	(fma (/ (- y x) (- a t)) (- z t) x)

simplify2.6s

Counts

70 → 70

Iterations

Useful iterations: 3 (953.0ms)

Iter	Nodes	Cost
0	118	918
1	275	890
2	851	838
3	4610	836
done	5000	836

prune319.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 7.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- y x))
0.9b	(/ 1 (/ (- a t) (- y x)))
13.2b	(fma (/ 1 (/ (- a t) (- y x))) (- z t) x)

rewrite141.0ms

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*`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`pow-flip` `div-sub` `fma-udef` `inv-pow`

Counts

3 → 214

Calls

3 calls:

49.0ms	(/ (- a t) (- y x))
66.0ms	(/ 1 (/ (- a t) (- y x)))
1.0ms	(fma (/ 1 (/ (- a t) (- y x))) (- z t) x)

series653.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(/ (- a t) (- y x))
351.0ms	(/ 1 (/ (- a t) (- y x)))
204.0ms	(fma (/ 1 (/ (- a t) (- y x))) (- z t) x)

simplify1.9s

Counts

223 → 223

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	274	3778
1	716	3266
2	3379	3035
done	5001	3029

prune726.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 6.9b

regimes527.0ms

Accuracy

41.7% (4.7b remaining)

Error of 10.9b against oracle of 6.1b and baseline of 14.3b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	71
1	28	71
done	28	71

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.1s	7911×	body	80	valid
162.0ms	273×	body	1280	valid
140.0ms	451×	body	640	valid
69.0ms	366×	body	320	valid
33.0ms	251×	body	160	valid
4.0ms	11×	body	2560	valid