Details

sample209.0ms

Algorithm

intervals

Results

45.0ms	256×	body	80	valid
43.0ms	260×	body	80	nan

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
4	1302
3	350
2	100
1	50
0	28

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize131.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ t a)))
0.3b	(/ 2.0 (* t 3.0))
1.7b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.0b	(/ (* z (sqrt (+ t a))) t)

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

20×	`frac-sub`
16×	`add-cbrt-cube` `add-exp-log`
15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt`
9×	`flip3--` `flip--`
8×	`frac-times` `associate-*r/`
7×	`associate-r`
6×	`pow1` `times-frac` `associate--r+` `add-log-exp`
5×	`flip3-+` `sqrt-prod` `flip-+`
4×	`cbrt-undiv` `associate-/r` `sqrt-div` `div-exp` `insert-posit16` `associate-/l`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `prod-exp` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `associate-*l/` `associate--l+` `div-inv` `unswap-sqr` `associate-/l/`
1×	`diff-log` `pow-prod-down` `*-commutative` `distribute-lft-out`

Counts

4 → 105

Calls

4 calls:

31.0ms	(* z (sqrt (+ t a)))
10.0ms	(/ 2.0 (* t 3.0))
100.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
34.0ms	(/ (* z (sqrt (+ t a))) t)

series611.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(* z (sqrt (+ t a)))
32.0ms	(/ 2.0 (* t 3.0))
333.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
120.0ms	(/ (* z (sqrt (+ t a))) t)

simplify5.6s

Counts

117 → 117

Iterations

Iter	Nodes
done	5001
2	4304
1	1046
0	350

prune2.9s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize162.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ t a)))
1.7b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (* (/ (/ 2.0 t) 3.0) (* (/ (/ 2.0 t) 3.0) (/ (/ 2.0 t) 3.0)))))))
5.0b	(/ (* z (sqrt (+ t a))) t)
40.2b	(cbrt (* (/ (/ 2.0 t) 3.0) (* (/ (/ 2.0 t) 3.0) (/ (/ 2.0 t) 3.0))))

rewrite378.0ms

Algorithm

rewrite-expression-head

Rules

92×	`frac-sub`
67×	`frac-times`
55×	`associate-*r/`
49×	`cbrt-div`
23×	`flip3-+` `associate-*l/` `flip-+`
21×	`flip3--` `flip--`
13×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
9×	`add-cube-cbrt`
7×	`associate-r`
6×	`pow1` `associate--r+` `add-log-exp`
5×	`sqrt-prod`
4×	`sqrt-div` `insert-posit16`
3×	`distribute-rgt-in` `associate-/r` `sub-neg` `distribute-lft-in` `times-frac` `associate-l*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate--l+` `cbrt-unprod` `unswap-sqr` `associate-/l/`
1×	`cbrt-prod` `clear-num` `frac-2neg` `pow1/3` `diff-log` `cube-unmult` `pow-prod-down` `-commutative` `rem-cbrt-cube` `div-inv` `distribute-lft-out` `associate-/l`

Counts

4 → 137

Calls

4 calls:

53.0ms	(* z (sqrt (+ t a)))
163.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (* (/ (/ 2.0 t) 3.0) (* (/ (/ 2.0 t) 3.0) (/ (/ 2.0 t) 3.0)))))))
20.0ms	(/ (* z (sqrt (+ t a))) t)
100.0ms	(cbrt (* (/ (/ 2.0 t) 3.0) (* (/ (/ 2.0 t) 3.0) (/ (/ 2.0 t) 3.0))))

series858.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(* z (sqrt (+ t a)))
535.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (* (/ (/ 2.0 t) 3.0) (* (/ (/ 2.0 t) 3.0) (/ (/ 2.0 t) 3.0)))))))
150.0ms	(/ (* z (sqrt (+ t a))) t)
66.0ms	(cbrt (* (/ (/ 2.0 t) 3.0) (* (/ (/ 2.0 t) 3.0) (/ (/ 2.0 t) 3.0))))

simplify3.4s

Counts

149 → 149

Iterations

Iter	Nodes
done	5000
1	1452
0	525

prune3.7s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize131.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ t (sqrt (+ t a)))
0.5b	(log (exp (- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (+ (/ 5.0 6.0) (- a (/ 2.0 (* 3.0 t))))))))
1.5b	(/ z (/ t (sqrt (+ t a))))
1.7b	(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (+ (/ 5.0 6.0) (- a (/ 2.0 (* 3.0 t))))))

rewrite838.0ms

Algorithm

rewrite-expression-head

Rules

186×	`times-frac`
138×	`*-un-lft-identity`
106×	`add-sqr-sqrt` `add-cube-cbrt`
64×	`sqrt-prod`
34×	`associate-/r*`
16×	`distribute-lft-out`
14×	`frac-sub`
11×	`add-cbrt-cube` `add-exp-log` `associate-/r/`
10×	`sqrt-div`
9×	`flip3--` `flip--`
8×	`frac-times` `flip3-+` `flip-+`
6×	`frac-add` `div-inv` `associate-/l*` `add-log-exp`
5×	`pow1` `log-prod`
4×	`cbrt-undiv` `div-exp` `associate-*r/` `log-pow` `insert-posit16`
3×	`exp-prod`
2×	`clear-num` `sub-neg` `frac-2neg` `exp-sum` `associate-*l/` `associate--r+`
1×	`distribute-rgt-in` `log-div` `distribute-lft-in` `exp-diff` `diff-log` `rem-log-exp`

Counts

4 → 221

Calls

4 calls:

33.0ms	(/ t (sqrt (+ t a)))
434.0ms	(log (exp (- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (+ (/ 5.0 6.0) (- a (/ 2.0 (* 3.0 t))))))))
30.0ms	(/ z (/ t (sqrt (+ t a))))
289.0ms	(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (+ (/ 5.0 6.0) (- a (/ 2.0 (* 3.0 t))))))

series1.1s

Counts

4 → 12

Calls

4 calls:

152.0ms	(/ t (sqrt (+ t a)))
387.0ms	(log (exp (- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (+ (/ 5.0 6.0) (- a (/ 2.0 (* 3.0 t))))))))
171.0ms	(/ z (/ t (sqrt (+ t a))))
408.0ms	(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (+ (/ 5.0 6.0) (- a (/ 2.0 (* 3.0 t))))))

simplify3.3s

Counts

233 → 233

Iterations

Iter	Nodes
done	5001
1	1476
0	483

prune5.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize214.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ t a)))
0.8b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (pow (* (/ (/ 2.0 t) 3.0) (* (/ (/ 2.0 t) 3.0) (/ (/ 2.0 t) 3.0))) 1/3))))
5.0b	(/ (* z (sqrt (+ t a))) t)
40.1b	(pow (* (/ (/ 2.0 t) 3.0) (* (/ (/ 2.0 t) 3.0) (/ (/ 2.0 t) 3.0))) 1/3)

rewrite411.0ms

Algorithm

rewrite-expression-head

Rules

183×	`add-exp-log`
86×	`div-exp`
59×	`prod-exp`
31×	`pow-exp`
21×	`pow1`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
11×	`add-cbrt-cube`
10×	`add-cube-cbrt`
8×	`pow-pow` `frac-sub`
7×	`flip3--` `associate-r` `flip--`
6×	`associate-*r/` `associate--r+` `add-log-exp`
5×	`pow-prod-up` `sqrt-prod`
4×	`frac-times` `sqrt-div` `pow-prod-down` `insert-posit16`
3×	`distribute-rgt-in` `pow-unpow` `associate-/r` `sub-neg` `distribute-lft-in` `times-frac` `associate-l*`
2×	`cbrt-undiv` `flip3-+` `associate-*l/` `associate--l+` `cbrt-unprod` `flip-+` `unswap-sqr` `associate-/l/`
1×	`pow2` `pow-to-exp` `clear-num` `unpow-prod-down` `frac-2neg` `pow-plus` `unpow1/3` `diff-log` `cube-unmult` `pow-sqr` `-commutative` `div-inv` `distribute-lft-out` `associate-/l` `sqr-pow`

Counts

4 → 131

Calls

4 calls:

49.0ms	(* z (sqrt (+ t a)))
157.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (pow (* (/ (/ 2.0 t) 3.0) (* (/ (/ 2.0 t) 3.0) (/ (/ 2.0 t) 3.0))) 1/3))))
39.0ms	(/ (* z (sqrt (+ t a))) t)
153.0ms	(pow (* (/ (/ 2.0 t) 3.0) (* (/ (/ 2.0 t) 3.0) (/ (/ 2.0 t) 3.0))) 1/3)

series1.5s

Counts

4 → 12

Calls

4 calls:

107.0ms	(* z (sqrt (+ t a)))
825.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (pow (* (/ (/ 2.0 t) 3.0) (* (/ (/ 2.0 t) 3.0) (/ (/ 2.0 t) 3.0))) 1/3))))
153.0ms	(/ (* z (sqrt (+ t a))) t)
401.0ms	(pow (* (/ (/ 2.0 t) 3.0) (* (/ (/ 2.0 t) 3.0) (/ (/ 2.0 t) 3.0))) 1/3)

simplify6.2s

Counts

143 → 143

Iterations

Iter	Nodes
done	5019
2	3958
1	1081
0	392

prune3.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes2.7s

Accuracy

11.4% (2.1b remaining)

Error of 2.8b against oracle of 0.7b and baseline of 3.0b

bsearch141.0ms

Steps

Iters	Range		Point
4	2.1401001194852736e-267	3.4649280186105384e-267	3.3407254030675445e-267
0	-6.293147342006253e-226	-6.1786013127204636e-226	-6.235874327363358e-226

simplify83.0ms

Iterations

Iter	Nodes
done	77
1	77
0	57

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.7s	8000×	body	80	valid
1.2s	8062×	body	80	nan