Details

sample125.0ms

Algorithm

intervals

Results

32.0ms	256×	body	80	valid
30.0ms	259×	body	80	nan

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
4	1923
3	388
2	108
1	50
0	28

prune44.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.4b

localize71.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0)))
0.2b	(/ (/ 2.0 t) 3.0)
2.6b	(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (sqrt (+ a t)) (/ z t)))
4.8b	(* (sqrt (+ a t)) (/ z t))

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

293×	`times-frac`
220×	`add-sqr-sqrt`
217×	`*-un-lft-identity`
210×	`add-cube-cbrt`
131×	`associate-+r+`
129×	`prod-diff`
19×	`div-inv`
14×	`add-cbrt-cube` `add-exp-log`
13×	`fma-def` `associate-r` `associate-/l*`
9×	`add-log-exp`
7×	`associate-l`
6×	`pow1` `sqrt-prod`
4×	`expm1-log1p-u` `cbrt-undiv` `sqrt-div` `div-exp` `log1p-expm1-u` `unswap-sqr`
3×	`associate-/r*` `flip3-+` `flip-+` `distribute-lft-out`
2×	`frac-times` `sum-log` `associate-*l/` `frac-add` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `clear-num` `associate-+r-` `sub-neg` `frac-2neg` `flip3--` `diff-log` `pow-prod-down` `associate-r/` `-commutative` `fma-udef` `flip--` `distribute-lft-out--` `associate-/l/`

Counts

4 → 289

Calls

4 calls:

111.0ms	(+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0)))
18.0ms	(/ (/ 2.0 t) 3.0)
1.0ms	(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (sqrt (+ a t)) (/ z t)))
43.0ms	(* (sqrt (+ a t)) (/ z t))

series428.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0)))
19.0ms	(/ (/ 2.0 t) 3.0)
268.0ms	(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (sqrt (+ a t)) (/ z t)))
98.0ms	(* (sqrt (+ a t)) (/ z t))

simplify831.0ms

Counts

301 → 301

Iterations

Iter	Nodes
done	5000
1	1886
0	696

prune3.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize78.0ms

Local error

Found 4 expressions with local error:

0.1b	(exp (sqrt (+ t a)))
0.2b	(/ (/ 2.0 t) 3.0)
0.5b	(log (pow (exp (sqrt (+ t a))) (/ z t)))
10.0b	(pow (exp (sqrt (+ t a))) (/ z t))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
64×	`*-un-lft-identity`
60×	`add-sqr-sqrt` `add-cube-cbrt`
14×	`exp-prod`
13×	`pow-unpow` `associate-/l*`
10×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`pow-pow` `sqrt-prod`
7×	`log-prod`
6×	`unpow-prod-down` `div-inv`
5×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`cbrt-undiv` `associate-/r*` `div-exp` `rem-log-exp`
2×	`pow-to-exp` `pow-exp` `distribute-lft-out` `sqr-pow`
1×	`clear-num` `frac-2neg` `log-pow` `rem-exp-log` `associate-/l/`

Counts

4 → 145

Calls

4 calls:

13.0ms	(exp (sqrt (+ t a)))
9.0ms	(/ (/ 2.0 t) 3.0)
9.0ms	(log (pow (exp (sqrt (+ t a))) (/ z t)))
47.0ms	(pow (exp (sqrt (+ t a))) (/ z t))

series456.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(exp (sqrt (+ t a)))
34.0ms	(/ (/ 2.0 t) 3.0)
123.0ms	(log (pow (exp (sqrt (+ t a))) (/ z t)))
121.0ms	(pow (exp (sqrt (+ t a))) (/ z t))

simplify1.9s

Counts

157 → 157

Iterations

Iter	Nodes
done	5001
2	2709
1	672
0	276

prune1.9s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0)))
0.0b	(- a (/ (/ 2.0 t) 3.0))
0.1b	(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) 0)
0.2b	(/ (/ 2.0 t) 3.0)

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

483×	`times-frac`
359×	`add-sqr-sqrt`
357×	`*-un-lft-identity`
350×	`add-cube-cbrt`
258×	`prod-diff`
131×	`associate-+r+`
30×	`div-inv`
13×	`fma-def` `associate-/l*`
11×	`add-log-exp`
9×	`add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
3×	`cbrt-undiv` `associate-/r*` `fma-neg` `div-exp` `difference-of-squares`
2×	`sum-log` `sub-neg` `flip3--` `diff-log` `frac-add` `flip--` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `clear-num` `associate-+r-` `frac-2neg` `flip3-+` `flip-+` `fma-udef` `associate-/l/`

Counts

4 → 395

Calls

4 calls:

96.0ms	(+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0)))
33.0ms	(- a (/ (/ 2.0 t) 3.0))
0.0ms	(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) 0)
9.0ms	(/ (/ 2.0 t) 3.0)

series209.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0)))
48.0ms	(- a (/ (/ 2.0 t) 3.0))
90.0ms	(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) 0)
32.0ms	(/ (/ 2.0 t) 3.0)

simplify833.0ms

Counts

407 → 407

Iterations

Iter	Nodes
done	5000
1	1747
0	677

prune3.7s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes650.0ms

Accuracy

9.7% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.5b

bsearch169.0ms

Steps

Iters	Range		Point
6	-2.8211526901246977e+233	-2.30395411766018e+232	-8.549410742572798e+232

simplify4.0ms

Iterations

Iter	Nodes
done	40
1	40
0	35

end0.0ms

sample4.7s

Algorithm

intervals

Results

1.9s	8000×	body	80	valid
1.4s	7996×	body	80	nan