Details

sample29.0ms

Algorithm

intervals

Results

14.0ms

276×

body

valid

simplify4.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
21	4733
20	4431
19	4132
18	3790
17	3489
16	3146
15	2840
14	2378
13	1801
12	1283
11	859
10	585
9	413
8	338
7	257
6	204
5	146
4	95
3	52
2	30
1	17
0	10

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*`
4×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/l*`
2×	`expm1-log1p-u` `pow1` `associate-/r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `fma-udef` `div-inv` `flip--`

Counts

2 → 51

Calls

2 calls:

16.0ms	(/ y (- a t))
1.0ms	(fma (/ y (- a t)) (- z t) x)

series320.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ y (- a t))
275.0ms	(fma (/ y (- a t)) (- z t) x)

simplify1.4s

Counts

57 → 57

Iterations

Iter	Nodes
done	5002
3	1379
2	448
1	175
0	94

prune364.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) y)
0.4b	(/ 1 (/ (- a t) y))
2.2b	(fma (/ 1 (/ (- a t) y)) (- z t) x)

rewrite65.0ms

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` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-/l/`
1×	`flip3--` `div-sub` `associate-/r/` `fma-udef` `pow-flip` `flip--` `inv-pow`

Counts

3 → 155

Calls

3 calls:

31.0ms	(/ (- a t) y)
28.0ms	(/ 1 (/ (- a t) y))
0.0ms	(fma (/ 1 (/ (- a t) y)) (- z t) x)

series436.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(/ (- a t) y)
107.0ms	(/ 1 (/ (- a t) y))
272.0ms	(fma (/ 1 (/ (- a t) y)) (- z t) x)

simplify2.6s

Counts

164 → 164

Iterations

Iter	Nodes
done	5000
3	4385
2	1411
1	513
0	213

prune667.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y (/ (- z t) (- a t))) x)
0.0b	(/ (- z t) (- a t))
2.4b	(* y (/ (- z t) (- a t)))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`expm1-log1p-u` `flip3--` `associate-l` `insert-posit16` `log1p-expm1-u` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `flip-+`

Counts

3 → 123

Calls

3 calls:

21.0ms	(+ (* y (/ (- z t) (- a t))) x)
32.0ms	(/ (- z t) (- a t))
54.0ms	(* y (/ (- z t) (- a t)))

series365.0ms

Counts

3 → 9

Calls

3 calls:

153.0ms	(+ (* y (/ (- z t) (- a t))) x)
101.0ms	(/ (- z t) (- a t))
111.0ms	(* y (/ (- z t) (- a t)))

simplify1.8s

Counts

132 → 132

Iterations

Iter	Nodes
done	5005
2	1387
1	457
0	171

prune630.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y (/ 1 (/ (- a t) (- z t)))) x)
0.0b	(/ (- a t) (- z t))
0.3b	(/ 1 (/ (- a t) (- z t)))
2.4b	(* y (/ 1 (/ (- a t) (- z t))))

rewrite269.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
336×	`add-sqr-sqrt`
324×	`*-un-lft-identity`
158×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*` `add-exp-log`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `insert-posit16` `log1p-expm1-u`
3×	`associate-l` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 351

Calls

4 calls:

53.0ms	(+ (* y (/ 1 (/ (- a t) (- z t)))) x)
47.0ms	(/ (- a t) (- z t))
36.0ms	(/ 1 (/ (- a t) (- z t)))
100.0ms	(* y (/ 1 (/ (- a t) (- z t))))

series901.0ms

Counts

4 → 12

Calls

4 calls:

332.0ms	(+ (* y (/ 1 (/ (- a t) (- z t)))) x)
86.0ms	(/ (- a t) (- z t))
246.0ms	(/ 1 (/ (- a t) (- z t)))
238.0ms	(* y (/ 1 (/ (- a t) (- z t))))

simplify2.4s

Counts

363 → 363

Iterations

Iter	Nodes
done	5003
2	2939
1	1094
0	385

prune1.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes542.0ms

Accuracy

36.4% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 1.2b

bsearch105.0ms

Steps

Iters	Range		Point
9	3.996245660399187e+58	1.9006712668267069e+65	4.050712264929229e+58
9	-3.4994870666727423e-150	-3.036019139471431e-158	-1.4067031403702933e-150

simplify4.0ms

Iterations

Iter	Nodes
done	26
1	26
0	19

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.1s	8664×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	1×	body	320	valid