Details

sample46.0ms

Algorithm

intervals

Results

22.0ms

283×

body

valid

simplify1.8s

Counts

1 → 1

Iterations

Useful iterations: 3 (22.0ms)

Iter	Nodes	Cost
0	10	11
1	18	11
2	33	11
3	61	10
4	112	10
5	157	10
6	207	10
7	251	10
8	302	10
9	387	10
10	485	10
11	553	10
12	617	10
13	645	10
done	645	10

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
3.6b	(fma (/ y (- z a)) (- z t) x)

rewrite16.0ms

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:

13.0ms	(/ y (- z a))
1.0ms	(fma (/ y (- z a)) (- z t) x)

series188.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ y (- z a))
137.0ms	(fma (/ y (- z a)) (- z t) x)

simplify2.2s

Counts

55 → 55

Iterations

Useful iterations: 4 (764.0ms)

Iter	Nodes	Cost
0	92	552
1	171	535
2	369	495
3	790	495
4	2344	494
done	5000	494

prune228.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z a) y)
0.7b	(/ 1 (/ (- z a) y))
3.6b	(fma (/ 1 (/ (- z a) y)) (- z t) x)

rewrite62.0ms

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	(/ (- z a) y)
33.0ms	(/ 1 (/ (- z a) y))
0.0ms	(fma (/ 1 (/ (- z a) y)) (- z t) x)

series313.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ (- z a) y)
99.0ms	(/ 1 (/ (- z a) y))
171.0ms	(fma (/ 1 (/ (- z a) y)) (- z t) x)

simplify2.6s

Counts

161 → 161

Iterations

Useful iterations: 3 (930.0ms)

Iter	Nodes	Cost
0	210	2152
1	450	1827
2	892	1582
3	2173	1552
done	5000	1552

prune561.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z a) y)
11.6b	(/ (- z t) (/ (- z a) y))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

200×	`times-frac`
170×	`add-sqr-sqrt` `*-un-lft-identity`
86×	`add-cube-cbrt`
42×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*`
10×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
8×	`div-inv`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
2×	`pow1` `expm1-log1p-u` `flip3--` `frac-2neg` `div-sub` `clear-num` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/`

Counts

2 → 179

Calls

2 calls:

46.0ms	(/ (- z a) y)
63.0ms	(/ (- z t) (/ (- z a) y))

series229.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ (- z a) y)
187.0ms	(/ (- z t) (/ (- z a) y))

simplify2.0s

Counts

185 → 185

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	251	3162
1	691	2968
2	2282	2866
done	5000	2864

prune738.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
2.6b	(* y (/ (- z t) (- z a)))

rewrite171.0ms

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:

62.0ms	(/ (- z t) (- z a))
101.0ms	(* y (/ (- z t) (- z a)))

series208.0ms

Counts

2 → 6

Calls

2 calls:

94.0ms	(/ (- z t) (- z a))
114.0ms	(* y (/ (- z t) (- z a)))

simplify2.5s

Counts

112 → 112

Iterations

Useful iterations: 2 (250.0ms)

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

prune427.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes158.0ms

Accuracy

0% (1.4b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	12	13
1	17	11
done	17	11

end0.0ms

sample1.2s

Algorithm

intervals

Results

715.0ms	8690×	body	80	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid