Details

sample52.0ms

Algorithm

intervals

Results

20.0ms

276×

body

valid

simplify8.2s

Counts

1 → 1

Iterations

Useful iterations: 3 (22.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	32	11
3	60	10
4	115	10
5	190	10
6	286	10
7	423	10
8	772	10
9	1507	10
10	4459	10
done	5000	10

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
3.7b	(fma (/ y (- a t)) (- z t) x)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

22.0ms	(/ y (- a t))
1.0ms	(fma (/ y (- a t)) (- z t) x)

series370.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(/ y (- a t))
316.0ms	(fma (/ y (- a t)) (- z t) x)

simplify1.1s

Counts

55 → 55

Iterations

Useful iterations: 3 (409.0ms)

Iter	Nodes	Cost
0	92	550
1	173	533
2	440	493
3	1606	491
done	5000	491

prune431.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))
3.7b	(fma (/ (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t))) (- z t) x)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`fma-udef`

Counts

4 → 61

Calls

4 calls:

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

series1.1s

Counts

4 → 12

Calls

4 calls:

248.0ms	(cbrt (- a t))
244.0ms	(cbrt (- a t))
247.0ms	(cbrt (- a t))
316.0ms	(fma (/ (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t))) (- z t) x)

simplify1.3s

Counts

73 → 73

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	93	889
1	187	871
2	467	717
3	1576	646
done	5000	610

prune665.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- a t)))
0.0b	(* y (- z t))
11.4b	(/ (* y (- z t)) (- a t))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `times-frac` `associate-r` `associate-/r*` `add-log-exp`
4×	`associate-*r/`
3×	`expm1-log1p-u` `flip3--` `fma-def` `associate-l` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `sub-neg` `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` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 94

Calls

3 calls:

35.0ms	(+ x (/ (* y (- z t)) (- a t)))
47.0ms	(* y (- z t))
50.0ms	(/ (* y (- z t)) (- a t))

series329.0ms

Counts

3 → 9

Calls

3 calls:

149.0ms	(+ x (/ (* y (- z t)) (- a t)))
61.0ms	(* y (- z t))
119.0ms	(/ (* y (- z t)) (- a t))

simplify1.6s

Counts

103 → 103

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	182	1394
1	473	1183
2	1882	1015
done	5000	972

prune602.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- a t) (- z t))))
0.0b	(/ (- a t) (- z t))
1.6b	(/ y (/ (- a t) (- z t)))

rewrite230.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
198×	`*-un-lft-identity`
196×	`add-sqr-sqrt`
92×	`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` `expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 215

Calls

3 calls:

116.0ms	(+ x (/ y (/ (- a t) (- z t))))
50.0ms	(/ (- a t) (- z t))
43.0ms	(/ y (/ (- a t) (- z t)))

series583.0ms

Counts

3 → 9

Calls

3 calls:

209.0ms	(+ x (/ y (/ (- a t) (- z t))))
100.0ms	(/ (- a t) (- z t))
274.0ms	(/ y (/ (- a t) (- z t)))

simplify2.3s

Counts

224 → 224

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	298	3793
1	812	3579
2	4110	3426
done	5000	3418

prune1.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes424.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	12	15
done	12	15

end0.0ms

sample1.6s

Algorithm

intervals

Results

680.0ms	8754×	body	80	valid
0.0ms	1×	body	160	valid