Details

sample46.0ms

Algorithm

intervals

Results

18.0ms

269×

body

valid

simplify6.4s

Counts

1 → 1

Iterations

Useful iterations: 3 (11.0ms)

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
2.2b	(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:

23.0ms	(/ y (- a t))
1.0ms	(fma (/ y (- a t)) (- z t) x)

series327.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ y (- a t))
283.0ms	(fma (/ y (- a t)) (- z t) x)

simplify872.0ms

Counts

55 → 55

Iterations

Useful iterations: 3 (287.0ms)

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

prune237.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) y)
0.7b	(/ 1 (/ (- a t) y))
2.2b	(fma (/ 1 (/ (- a t) y)) (- z t) x)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
101×	`add-sqr-sqrt` `*-un-lft-identity`
69×	`add-cube-cbrt`
22×	`associate-/r*`
16×	`add-exp-log` `distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`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×	`flip3--` `pow-flip` `div-sub` `associate-/r/` `flip--` `fma-udef` `inv-pow`

Counts

3 → 152

Calls

3 calls:

21.0ms	(/ (- a t) y)
24.0ms	(/ 1 (/ (- a t) y))
1.0ms	(fma (/ 1 (/ (- a t) y)) (- z t) x)

series411.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(/ (- a t) y)
109.0ms	(/ 1 (/ (- a t) y))
253.0ms	(fma (/ 1 (/ (- a t) y)) (- z t) x)

simplify1.7s

Counts

161 → 161

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	210	2150
1	520	1825
2	2450	1735
done	5000	1548

prune487.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
0.7b	(/ 1 (* (* (cbrt (- a t)) (cbrt (- a t))) (/ (cbrt (- a t)) y)))
2.2b	(fma (/ 1 (* (* (cbrt (- a t)) (cbrt (- a t))) (/ (cbrt (- a t)) y))) (- z t) x)

rewrite236.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-exp-log`
28×	`cbrt-div`
18×	`prod-exp`
17×	`associate-/r/`
16×	`frac-times` `div-exp` `add-cbrt-cube`
14×	`flip3--` `flip--`
12×	`add-sqr-sqrt` `-un-lft-identity` `associate-l/`
10×	`pow1` `cbrt-prod`
8×	`add-cube-cbrt`
7×	`cbrt-undiv`
6×	`cbrt-unprod`
5×	`rec-exp` `1-exp` `associate-*r/`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-flip` `times-frac` `pow-prod-down` `associate-/l*`
2×	`pow1/3` `distribute-lft-out--` `difference-of-squares`
1×	`frac-2neg` `clear-num` `associate-/r*` `fma-udef` `div-inv` `inv-pow`

Counts

4 → 104

Calls

4 calls:

5.0ms	(cbrt (- a t))
8.0ms	(cbrt (- a t))
217.0ms	(/ 1 (* (* (cbrt (- a t)) (cbrt (- a t))) (/ (cbrt (- a t)) y)))
1.0ms	(fma (/ 1 (* (* (cbrt (- a t)) (cbrt (- a t))) (/ (cbrt (- a t)) y))) (- z t) x)

series874.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(cbrt (- a t))
234.0ms	(cbrt (- a t))
110.0ms	(/ 1 (* (* (cbrt (- a t)) (cbrt (- a t))) (/ (cbrt (- a t)) y)))
298.0ms	(fma (/ 1 (* (* (cbrt (- a t)) (cbrt (- a t))) (/ (cbrt (- a t)) y))) (- z t) x)

simplify1.8s

Counts

116 → 116

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	205	2049
1	519	1924
2	1816	1398
done	5001	1166

prune575.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
2.2b	(* (/ (- z t) (- a t)) y)

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-l`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-r` `flip--`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

2 → 106

Calls

2 calls:

51.0ms	(/ (- z t) (- a t))
79.0ms	(* (/ (- z t) (- a t)) y)

series262.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(/ (- z t) (- a t))
191.0ms	(* (/ (- z t) (- a t)) y)

simplify1.2s

Counts

112 → 112

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	147	1339
1	381	1303
2	1476	1225
done	5001	1219

prune441.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes199.0ms

Accuracy

36.1% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 1.4b

bsearch137.0ms

Steps

Iters	Range		Point
5	8.888398750328554e-40	2.5423444098618012e-39	2.5074376505129892e-39
8	-3.507287287673656e+78	-1.1085261461349702e+74	-1.1250157533671681e+74

simplify6.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	22	47
1	33	33
2	34	33
done	34	33

end0.0ms

sample1.5s

Algorithm

intervals

Results

659.0ms	8677×	body	80	valid
0.0ms	2×	body	160	valid