Details

sample18.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify451.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	186
7	186
6	177
5	152
4	109
3	67
2	38
1	19
0	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.6b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) y))
3.4b	(- (* x x) (* (* y 4.0) y))
33.0b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-log-exp`
5×	`add-cbrt-cube` `add-exp-log`
3×	`expm1-log1p-u` `pow1` `associate-/r` `log1p-expm1-u` `associate-/l`
2×	`flip3-+` `flip3--` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `fma-def` `frac-2neg` `fma-neg` `diff-log` `div-sub` `div-exp` `prod-diff` `div-inv`

Counts

3 → 64

Calls

3 calls:

6.0ms	(+ (* x x) (* (* y 4.0) y))
7.0ms	(- (* x x) (* (* y 4.0) y))
32.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series213.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(+ (* x x) (* (* y 4.0) y))
57.0ms	(- (* x x) (* (* y 4.0) y))
92.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify2.1s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
2	1079
1	271
0	98

prune460.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune8.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune9.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.1b

localize78.0ms

Local error

Found 4 expressions with local error:

18.6b	(* (/ 1 (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (cbrt (+ (* x x) (* (* y 4.0) y)))))
32.3b	(cbrt (+ (* x x) (* (* y 4.0) y)))
32.3b	(cbrt (+ (* x x) (* (* y 4.0) y)))
32.3b	(cbrt (+ (* x x) (* (* y 4.0) y)))

rewrite258.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
43×	`add-sqr-sqrt`
33×	`times-frac`
25×	`*-un-lft-identity`
24×	`associate-r`
22×	`add-cube-cbrt`
21×	`cbrt-prod`
20×	`cbrt-div` `prod-exp`
18×	`add-cbrt-cube`
15×	`div-exp` `associate-l`
10×	`flip3-+` `associate-/r/` `flip-+`
9×	`unswap-sqr`
8×	`cbrt-unprod`
7×	`cbrt-undiv`
6×	`pow1`
5×	`frac-times`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l/` `associate-r/`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 127

Calls

4 calls:

231.0ms	(* (/ 1 (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (cbrt (+ (* x x) (* (* y 4.0) y)))))
7.0ms	(cbrt (+ (* x x) (* (* y 4.0) y)))
8.0ms	(cbrt (+ (* x x) (* (* y 4.0) y)))
8.0ms	(cbrt (+ (* x x) (* (* y 4.0) y)))

series572.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* (/ 1 (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (cbrt (+ (* x x) (* (* y 4.0) y)))))
168.0ms	(cbrt (+ (* x x) (* (* y 4.0) y)))
136.0ms	(cbrt (+ (* x x) (* (* y 4.0) y)))
172.0ms	(cbrt (+ (* x x) (* (* y 4.0) y)))

simplify2.2s

Counts

139 → 139

Iterations

Iter	Nodes
done	5000
2	2189
1	604
0	202

prune842.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.1b

regimes354.0ms

Accuracy

60.7% (12.3b remaining)

Error of 12.7b against oracle of 0.4b and baseline of 31.7b

bsearch286.0ms

Steps

Iters	Range		Point
8	5.370693672708751e+91	3.398993182490229e+96	1.3533861206968974e+95
7	3013431957690258.5	1.4763423829294256e+17	3063448176040838.0
4	6.629466706318697e-13	1.2644464330425629e-12	1.1319389653001016e-12
10	3.0384533910994425e-128	7.056758801757853e-118	2.3015364980633117e-123
9	-3.3499769700489724e-75	-1.3829194228941778e-80	-1.3976418451735851e-80
6	-5.039684974936281e+101	-6.388890037549457e+100	-4.8445064813097935e+101

simplify6.0ms

Iterations

Iter	Nodes
done	34
1	34
0	29

end0.0ms

sample946.0ms

Algorithm

intervals

Results

694.0ms

8000×

body

valid