Details

sample36.0ms

Algorithm

intervals

Results

14.0ms	275×	body	80	valid
0.0ms	1×	body	640	valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	37	10
3	60	10
4	103	10
5	163	10
6	214	10
7	241	10
8	280	10
9	321	10
10	406	10
11	504	10
12	572	10
13	636	10
14	664	10
done	664	10

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
1.2b	(fma (/ (- z t) (- z a)) y x)

rewrite42.0ms

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:

29.0ms	(/ (- z t) (- z a))
0.0ms	(fma (/ (- z t) (- z a)) y x)

series190.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(/ (- z t) (- z a))
120.0ms	(fma (/ (- z t) (- z a)) y x)

simplify3.2s

Counts

70 → 70

Iterations

Useful iterations: 4 (2.0s)

Iter	Nodes	Cost
0	113	884
1	261	856
2	628	808
3	1605	808
4	4736	806
done	5000	806

prune234.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.9b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z a) (- z t))
0.2b	(/ 1 (/ (- z a) (- z t)))
1.2b	(fma (/ 1 (/ (- z a) (- z t))) y x)

rewrite76.0ms

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:

25.0ms	(/ (- z a) (- z t))
32.0ms	(/ 1 (/ (- z a) (- z t)))
0.0ms	(fma (/ 1 (/ (- z a) (- z t))) y x)

series355.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(/ (- z a) (- z t))
116.0ms	(/ 1 (/ (- z a) (- z t)))
166.0ms	(fma (/ 1 (/ (- z a) (- z t))) y x)

simplify2.8s

Counts

223 → 223

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	269	3744
1	609	3232
2	1384	2913
3	3766	2837
done	5000	2837

prune636.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.9b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
1.8b	(* y (/ (- z t) (- z a)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
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-l` `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` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 106

Calls

2 calls:

28.0ms	(/ (- z t) (- z a))
62.0ms	(* y (/ (- z t) (- z a)))

series212.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(/ (- z t) (- z a))
141.0ms	(* y (/ (- z t) (- z a)))

simplify2.2s

Counts

112 → 112

Iterations

Useful iterations: 2 (246.0ms)

Iter	Nodes	Cost
0	142	1355
1	354	1282
2	966	1200
3	2928	1200
done	5000	1200

prune426.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
1.8b	(* y (pow (/ (- z t) (- z a)) 1))

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

79×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
35×	`associate-r`
33×	`unpow-prod-down`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
12×	`add-exp-log`
6×	`add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`prod-exp` `associate-/r/` `unswap-sqr`
3×	`pow1` `flip3--` `associate-l` `flip--`
2×	`expm1-log1p-u` `div-exp` `pow-exp` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `div-sub` `pow-prod-down` `clear-num` `*-commutative` `cbrt-unprod`

Counts

2 → 112

Calls

2 calls:

38.0ms	(/ (- z t) (- z a))
144.0ms	(* y (pow (/ (- z t) (- z a)) 1))

series190.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(/ (- z t) (- z a))
99.0ms	(* y (pow (/ (- z t) (- z a)) 1))

simplify1.2s

Counts

118 → 118

Iterations

Useful iterations: 2 (344.0ms)

Iter	Nodes	Cost
0	183	1562
1	415	1349
2	1248	1288
done	5000	1288

prune404.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes239.0ms

Accuracy

39.6% (0.9b remaining)

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

bsearch150.0ms

Steps

Iters	Range		Point
8	7.709967539277048e-128	2.280333656610178e-125	1.0076840122372241e-126
10	-4.5507113631979727e+86	-4.096056853299748e+70	-4.072361122530727e+71

simplify6.0ms

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	21	45
1	30	31
done	30	31

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.0s	8670×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid