Details

sample26.0ms

Algorithm

intervals

Results

7.0ms	260×	body	80	valid
1.0ms	12×	body	640	valid
1.0ms	9×	body	1280	valid
1.0ms	11×	body	320	valid
0.0ms	7×	body	160	valid

simplify50.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	23	6
1	46	5
2	128	5
3	362	5
4	1024	5
5	2296	5
6	5001	5
done	5001	5

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.9b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t x) (- a z))
15.0b	(fma (- y z) (/ (- t x) (- a z)) x)

rewrite26.0ms

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:

23.0ms	(/ (- t x) (- a z))
0.0ms	(fma (- y z) (/ (- t x) (- a z)) x)

series156.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(/ (- t x) (- a z))
98.0ms	(fma (- y z) (/ (- t x) (- a z)) x)

simplify54.0ms

Counts

70 → 70

Iterations

Useful iterations: 3 (49.0ms)

Iter	Nodes	Cost
0	268	450
1	733	425
2	2490	423
3	5001	421
done	5001	421

prune197.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a z))
0.2b	(* (- t x) (/ 1 (- a z)))
14.9b	(fma (- y z) (* (- t x) (/ 1 (- a z))) x)

rewrite60.0ms

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:

14.0ms	(/ 1 (- a z))
42.0ms	(* (- t x) (/ 1 (- a z)))
0.0ms	(fma (- y z) (* (- t x) (/ 1 (- a z))) x)

series190.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ 1 (- a z))
53.0ms	(* (- t x) (/ 1 (- a z)))
99.0ms	(fma (- y z) (* (- t x) (/ 1 (- a z))) x)

simplify38.0ms

Counts

114 → 114

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	350	602
1	1497	525
2	5001	481
done	5001	481

prune257.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 4.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t x) (- a z))
15.0b	(fma (- y z) (/ (- t x) (- a z)) x)

rewrite28.0ms

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:

25.0ms	(/ (- t x) (- a z))
0.0ms	(fma (- y z) (/ (- t x) (- a z)) x)

series152.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(/ (- t x) (- a z))
99.0ms	(fma (- y z) (/ (- t x) (- a z)) x)

simplify53.0ms

Counts

70 → 70

Iterations

Useful iterations: 3 (48.0ms)

Iter	Nodes	Cost
0	268	450
1	733	425
2	2490	423
3	5001	421
done	5001	421

prune165.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 4.8b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- t x))
0.3b	(/ 1 (/ (- a z) (- t x)))
14.9b	(fma (- y z) (/ 1 (/ (- a z) (- t x))) x)

rewrite61.0ms

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:

22.0ms	(/ (- a z) (- t x))
24.0ms	(/ 1 (/ (- a z) (- t x)))
0.0ms	(fma (- y z) (/ 1 (/ (- a z) (- t x))) x)

series379.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(/ (- a z) (- t x))
199.0ms	(/ 1 (/ (- a z) (- t x)))
122.0ms	(fma (- y z) (/ 1 (/ (- a z) (- t x))) x)

simplify64.0ms

Counts

223 → 223

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	632	1907
1	2802	1722
2	5001	1551
done	5001	1551

prune357.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 4.5b

regimes251.0ms

Accuracy

31% (6.6b remaining)

Error of 11.5b against oracle of 4.9b and baseline of 14.5b

bsearch82.0ms

Steps

Iters	Range		Point
8	2.0682821308846525e-124	6.147839459407005e-121	6.450125049350017e-122
9	-1.2886773237782644e-81	-2.500017983130176e-90	-3.5547743120630636e-90

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	15
1	24	15
done	24	15

end0.0ms

sample749.0ms

Algorithm

intervals

Results

233.0ms	7834×	body	80	valid
45.0ms	444×	body	640	valid
42.0ms	291×	body	1280	valid
31.0ms	406×	body	320	valid
13.0ms	240×	body	160	valid
3.0ms	16×	body	2560	valid