Details

sample98.0ms

Algorithm

intervals

Results

68.0ms

389×

body

valid

simplify1.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	2026
5	1681
4	803
3	296
2	98
1	38
0	18

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.6b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(- b (* (* (* z 4.0) t) a))
0.1b	(fma (* x 9.0) y (- b (* (* (* z 4.0) t) a)))
7.6b	(* (* (* z 4.0) t) a)
19.1b	(/ (fma (* x 9.0) y (- b (* (* (* z 4.0) t) a))) (* c z))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-cbrt-cube` `add-exp-log`
13×	`pow1`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`prod-exp` `cbrt-unprod`
6×	`pow-prod-down` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`times-frac` `fma-neg` `associate-r` `prod-diff` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`clear-num` `associate-/r` `sub-neg` `frac-2neg` `flip3--` `diff-log` `associate-l` `-commutative` `fma-udef` `div-inv` `flip--`

Counts

4 → 80

Calls

4 calls:

8.0ms	(- b (* (* (* z 4.0) t) a))
0.0ms	(fma (* x 9.0) y (- b (* (* (* z 4.0) t) a)))
69.0ms	(* (* (* z 4.0) t) a)
18.0ms	(/ (fma (* x 9.0) y (- b (* (* (* z 4.0) t) a))) (* c z))

series754.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(- b (* (* (* z 4.0) t) a))
247.0ms	(fma (* x 9.0) y (- b (* (* (* z 4.0) t) a)))
46.0ms	(* (* (* z 4.0) t) a)
348.0ms	(/ (fma (* x 9.0) y (- b (* (* (* z 4.0) t) a))) (* c z))

simplify684.0ms

Counts

92 → 92

Iterations

Iter	Nodes
done	2038
2	1357
1	393
0	162

prune575.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.7b

localize51.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (/ (* y x) (* c z)) 9.0 (- (/ b (* c z)) (/ (* (* a 4.0) t) c)))
3.8b	(/ (* (* a 4.0) t) c)
6.0b	(/ b (* c z))
9.5b	(/ (* y x) (* c z))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-cbrt-cube` `add-exp-log`
9×	`cbrt-undiv` `div-exp`
8×	`add-sqr-sqrt` `*-un-lft-identity` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
7×	`times-frac`
5×	`associate-/r` `associate-/l`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `div-inv`
1×	`fma-udef`

Counts

4 → 85

Calls

4 calls:

0.0ms	(fma (/ (* y x) (* c z)) 9.0 (- (/ b (* c z)) (/ (* (* a 4.0) t) c)))
22.0ms	(/ (* (* a 4.0) t) c)
11.0ms	(/ b (* c z))
15.0ms	(/ (* y x) (* c z))

series448.0ms

Counts

4 → 12

Calls

4 calls:

343.0ms	(fma (/ (* y x) (* c z)) 9.0 (- (/ b (* c z)) (/ (* (* a 4.0) t) c)))
44.0ms	(/ (* (* a 4.0) t) c)
24.0ms	(/ b (* c z))
36.0ms	(/ (* y x) (* c z))

simplify751.0ms

Counts

97 → 97

Iterations

Iter	Nodes
done	2001
2	1883
1	437
0	172

prune649.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.1b

localize51.0ms

Local error

Found 4 expressions with local error:

3.8b	(/ (* (* a 4.0) t) c)
4.4b	(/ (* c z) x)
6.0b	(/ b (* c z))
7.2b	(/ y (/ (* c z) x))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
32×	`add-cbrt-cube` `add-exp-log`
26×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
14×	`associate-/r*`
12×	`cbrt-undiv` `div-exp`
8×	`div-inv` `associate-/l*`
6×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/`

Counts

4 → 125

Calls

4 calls:

16.0ms	(/ (* (* a 4.0) t) c)
9.0ms	(/ (* c z) x)
7.0ms	(/ b (* c z))
17.0ms	(/ y (/ (* c z) x))

series143.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ (* (* a 4.0) t) c)
27.0ms	(/ (* c z) x)
27.0ms	(/ b (* c z))
36.0ms	(/ y (/ (* c z) x))

simplify368.0ms

Counts

137 → 137

Iterations

Iter	Nodes
done	2002
1	582
0	227

prune1.0s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.1b

localize63.0ms

Local error

Found 4 expressions with local error:

2.9b	(/ y (/ z (cbrt x)))
3.8b	(/ (* (* a 4.0) t) c)
6.0b	(/ b (* c z))
7.5b	(* (/ 1 (/ c (* (cbrt x) (cbrt x)))) (/ y (/ z (cbrt x))))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

343×	`times-frac`
232×	`add-sqr-sqrt`
167×	`*-un-lft-identity`
159×	`add-cube-cbrt`
149×	`add-exp-log`
74×	`div-exp`
71×	`associate-r`
68×	`cbrt-prod`
66×	`add-cbrt-cube`
43×	`prod-exp`
35×	`cbrt-undiv`
26×	`associate-/r` `associate-l*`
20×	`unswap-sqr`
19×	`cbrt-unprod`
15×	`div-inv`
9×	`rec-exp` `1-exp`
7×	`associate-/l*`
6×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-/r/`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 333

Calls

4 calls:

10.0ms	(/ y (/ z (cbrt x)))
17.0ms	(/ (* (* a 4.0) t) c)
7.0ms	(/ b (* c z))
71.0ms	(* (/ 1 (/ c (* (cbrt x) (cbrt x)))) (/ y (/ z (cbrt x))))

series270.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(/ y (/ z (cbrt x)))
35.0ms	(/ (* (* a 4.0) t) c)
30.0ms	(/ b (* c z))
76.0ms	(* (/ 1 (/ c (* (cbrt x) (cbrt x)))) (/ y (/ z (cbrt x))))

simplify935.0ms

Counts

345 → 345

Iterations

Iter	Nodes
done	2010
1	1784
0	562

prune2.7s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

regimes1.8s

Accuracy

23.7% (8.8b remaining)

Error of 8.8b against oracle of 0.1b and baseline of 11.6b

bsearch674.0ms

Steps

Iters	Range		Point
10	2.7565611458418846e+224	4.038509269245087e+243	3.719977460054025e+243
5	2.512466219125265e+31	9.350013159855062e+31	3.1796022958011577e+31
7	7.076344427023373e-242	9.030288658916915e-240	2.1986561765626434e-240
7	-2.271177371877917e-185	-5.916164727542361e-187	-1.7576912804984347e-185
9	-2.4441996626511024e+78	-1.385940201861894e+72	-1.5470563667015197e+72

simplify18.0ms

Iterations

Iter	Nodes
done	64
1	64
0	56

end0.0ms

sample3.5s

Algorithm

intervals

Results

2.8s

12651×

body

valid