Details

sample56.0ms

Algorithm

intervals

Results

16.0ms	249×	body	80	valid
4.0ms	17×	body	640	valid
3.0ms	15×	body	320	valid
1.0ms	4×	body	1280	valid
1.0ms	9×	body	160	valid
0.0ms	1×	body	2560	valid

simplify3.1s

Counts

1 → 1

Iterations

Useful iterations: 3 (22.0ms)

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

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.9b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y x) (- a t))
15.2b	(fma (/ (- y x) (- a t)) (- z t) x)

rewrite46.0ms

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:

41.0ms	(/ (- y x) (- a t))
1.0ms	(fma (/ (- y x) (- a t)) (- z t) x)

series254.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(/ (- y x) (- a t))
169.0ms	(fma (/ (- y x) (- a t)) (- z t) x)

simplify2.8s

Counts

70 → 70

Iterations

Useful iterations: 3 (852.0ms)

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

prune488.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 7.3b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- y x))
0.5b	(cbrt (- y x))
0.6b	(* (cbrt (- y x)) (cbrt (- y x)))
15.1b	(fma (/ (* (cbrt (- y x)) (cbrt (- y x))) (/ (- a t) (cbrt (- y x)))) (- z t) x)

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

38×	`cbrt-prod`
34×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
16×	`cbrt-div`
14×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
8×	`flip3--` `pow1/3` `associate-r` `associate-l` `flip--` `distribute-lft-out--`
6×	`add-exp-log` `difference-of-squares`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 102

Calls

4 calls:

7.0ms	(cbrt (- y x))
7.0ms	(cbrt (- y x))
74.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
1.0ms	(fma (/ (* (cbrt (- y x)) (cbrt (- y x))) (/ (- a t) (cbrt (- y x)))) (- z t) x)

series873.0ms

Counts

4 → 12

Calls

4 calls:

259.0ms	(cbrt (- y x))
240.0ms	(cbrt (- y x))
213.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
160.0ms	(fma (/ (* (cbrt (- y x)) (cbrt (- y x))) (/ (- a t) (cbrt (- y x)))) (- z t) x)

simplify1.1s

Counts

114 → 114

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	159	1575
1	345	1467
2	1136	1371
done	5000	1210

prune947.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 7.3b

localize52.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))
0.6b	(* (cbrt (- a t)) (cbrt (- a t)))
15.1b	(fma (* (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- y x) (cbrt (- a t)))) (- z t) x)

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

38×	`cbrt-prod`
34×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
16×	`cbrt-div`
14×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
8×	`flip3--` `pow1/3` `associate-r` `associate-l` `flip--` `distribute-lft-out--`
6×	`add-exp-log` `difference-of-squares`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 102

Calls

4 calls:

8.0ms	(cbrt (- a t))
8.0ms	(cbrt (- a t))
66.0ms	(* (cbrt (- a t)) (cbrt (- a t)))
1.0ms	(fma (* (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- y x) (cbrt (- a t)))) (- z t) x)

series1.0s

Counts

4 → 12

Calls

4 calls:

294.0ms	(cbrt (- a t))
287.0ms	(cbrt (- a t))
232.0ms	(* (cbrt (- a t)) (cbrt (- a t)))
225.0ms	(fma (* (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- y x) (cbrt (- a t)))) (- z t) x)

simplify1.3s

Counts

114 → 114

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	160	1601
1	349	1493
2	1172	1371
done	5000	1331

prune1.1s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 7.3b

localize58.0ms

Local error

Found 4 expressions with local error:

8.5b	(cbrt (/ (- y x) (- a t)))
8.5b	(cbrt (/ (- y x) (- a t)))
8.5b	(cbrt (/ (- y x) (- a t)))
15.1b	(fma (* (* (cbrt (/ (- y x) (- a t))) (cbrt (/ (- y x) (- a t)))) (cbrt (/ (- y x) (- a t)))) (- z t) x)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

97×	`add-sqr-sqrt` `*-un-lft-identity`
93×	`cbrt-prod`
75×	`times-frac`
37×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `flip3--` `pow1/3` `flip--` `div-inv`
1×	`fma-udef`

Counts

4 → 136

Calls

4 calls:

20.0ms	(cbrt (/ (- y x) (- a t)))
20.0ms	(cbrt (/ (- y x) (- a t)))
21.0ms	(cbrt (/ (- y x) (- a t)))
1.0ms	(fma (* (* (cbrt (/ (- y x) (- a t))) (cbrt (/ (- y x) (- a t)))) (cbrt (/ (- y x) (- a t)))) (- z t) x)

series1.1s

Counts

4 → 12

Calls

4 calls:

315.0ms	(cbrt (/ (- y x) (- a t)))
317.0ms	(cbrt (/ (- y x) (- a t)))
313.0ms	(cbrt (/ (- y x) (- a t)))
190.0ms	(fma (* (* (cbrt (/ (- y x) (- a t))) (cbrt (/ (- y x) (- a t)))) (cbrt (/ (- y x) (- a t)))) (- z t) x)

simplify1.7s

Counts

148 → 148

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	174	2766
1	336	2673
2	702	2378
3	1994	2307
done	5001	2283

prune1.5s

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 7.3b

regimes1.4s

Accuracy

62.4% (3.0b remaining)

Error of 9.7b against oracle of 6.7b and baseline of 14.6b

bsearch5.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	115
1	27	115
done	27	115

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.3s	7830×	body	80	valid
198.0ms	504×	body	640	valid
138.0ms	267×	body	1280	valid
131.0ms	393×	body	320	valid
54.0ms	253×	body	160	valid
8.0ms	17×	body	2560	valid