Details

sample30.0ms

Algorithm

intervals

Results

17.0ms

277×

body

valid

simplify4.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
22	4837
21	4533
20	4220
19	3915
18	3605
17	3272
16	2914
15	2509
14	2029
13	1698
12	1246
11	750
10	447
9	347
8	287
7	262
6	225
5	152
4	94
3	57
2	36
1	20
0	10

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
2.7b	(* y (/ (- z t) (- a t)))

rewrite75.0ms

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-cbrt-cube` `add-exp-log`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-sub` `pow-prod-down` `associate-r/` `-commutative`

Counts

2 → 108

Calls

2 calls:

32.0ms	(/ (- z t) (- a t))
37.0ms	(* y (/ (- z t) (- a t)))

series195.0ms

Counts

2 → 6

Calls

2 calls:

100.0ms	(/ (- z t) (- a t))
95.0ms	(* y (/ (- z t) (- a t)))

simplify3.3s

Counts

114 → 114

Iterations

Iter	Nodes
done	5000
3	4741
2	1142
1	377
0	144

prune537.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
9.1b	(/ (* y (- z t)) (- a t))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
18×	`prod-diff` `add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-cbrt-cube` `add-exp-log`
5×	`associate-/r` `times-frac` `associate-r*`
4×	`pow1` `associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`expm1-log1p-u` `cbrt-undiv` `sub-neg` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `associate-/l/`
1×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 79

Calls

2 calls:

17.0ms	(* y (- z t))
22.0ms	(/ (* y (- z t)) (- a t))

series179.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(* y (- z t))
94.0ms	(/ (* y (- z t)) (- a t))

simplify3.4s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
3	4545
2	1061
1	397
0	159

prune396.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 2 expressions with local error:

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

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
194×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
9×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/l*`
6×	`flip3--` `div-inv` `flip--`
4×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp` `associate-/l/`
1×	`div-sub`

Counts

2 → 200

Calls

2 calls:

31.0ms	(/ (- a t) (- z t))
30.0ms	(/ y (/ (- a t) (- z t)))

series309.0ms

Counts

2 → 6

Calls

2 calls:

86.0ms	(/ (- a t) (- z t))
222.0ms	(/ y (/ (- a t) (- z t)))

simplify2.4s

Counts

206 → 206

Iterations

Iter	Nodes
done	5001
2	2766
1	739
0	276

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

848×	`*-un-lft-identity`
819×	`times-frac`
798×	`add-sqr-sqrt`
444×	`add-cube-cbrt`
441×	`prod-diff`
197×	`distribute-lft-out--`
167×	`difference-of-squares`
114×	`associate-/r/`
57×	`flip3--` `flip--`
56×	`div-inv`
28×	`associate-/r*`
21×	`fma-neg`
15×	`distribute-rgt-out--`
10×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/l*`
6×	`add-log-exp`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`
2×	`frac-sub` `sub-div`
1×	`sub-neg` `diff-log`

Counts

4 → 668

Calls

4 calls:

9.0ms	(/ a (- z t))
85.0ms	(- (/ a (- z t)) (/ t (- z t)))
9.0ms	(/ t (- z t))
78.0ms	(/ y (- (/ a (- z t)) (/ t (- z t))))

series424.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(/ a (- z t))
104.0ms	(- (/ a (- z t)) (/ t (- z t)))
63.0ms	(/ t (- z t))
207.0ms	(/ y (- (/ a (- z t)) (/ t (- z t))))

simplify3.1s

Counts

680 → 680

Iterations

Iter	Nodes
done	5000
2	3923
1	1475
0	678

prune3.8s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes491.0ms

Accuracy

-10.2% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.2b

bsearch102.0ms

Steps

Iters	Range		Point
8	1.0896861391745654e-218	9.172294578684738e-216	2.7589848075703794e-216
5	-12.86585752737214	-3.9158998195986108	-4.347512852047913

simplify7.0ms

Iterations

Iter	Nodes
done	29
1	29
0	24

end0.0ms

sample1.2s

Algorithm

intervals

Results

878.0ms	8690×	body	80	valid
1.0ms	1×	body	2560	valid
0.0ms	2×	body	640	valid