Details

sample50.0ms

Algorithm

intervals

Results

14.0ms	329×	body	80	valid
0.0ms	1×	body	640	valid

simplify14.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
11	4656
10	2712
9	1305
8	776
7	623
6	482
5	357
4	161
3	62
2	26
1	11
0	7

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) (- 1.0 z))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`prod-diff`
15×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
4×	`frac-times` `associate-l`
3×	`pow1` `add-exp-log` `flip3--` `flip3-+` `add-cbrt-cube` `flip--` `flip-+`
2×	`sub-neg` `associate-r/` `associate-l/`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 53

Calls

1 calls:

82.0ms

(* (+ x y) (- 1.0 z))

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

(* (+ x y) (- 1.0 z))

simplify2.2s

Counts

56 → 56

Iterations

Iter	Nodes
done	5003
2	1328
1	420
0	134

prune325.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize55.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x y) (- z))
0.0b	(+ (* (+ x y) 1.0) (* (+ x y) (- z)))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-r` `associate-*l/`
8×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`add-cube-cbrt` `flip3-+` `flip-+`
4×	`pow1` `add-exp-log` `associate-l` `frac-add` `add-cbrt-cube` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `distribute-rgt-neg-out`
2×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `neg-mul-1` `fma-def` `unsub-neg` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 52

Calls

2 calls:

54.0ms	(* (+ x y) (- z))
36.0ms	(+ (* (+ x y) 1.0) (* (+ x y) (- z)))

series157.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(* (+ x y) (- z))
99.0ms	(+ (* (+ x y) 1.0) (* (+ x y) (- z)))

simplify2.4s

Counts

58 → 58

Iterations

Iter	Nodes
done	5001
2	1353
1	361
0	114

prune448.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* z z) (* 1.0 z))
0.1b	(* z (* z z))
0.5b	(* (+ y x) (- (* (* 1.0 1.0) 1.0) (* z (* z z))))
16.4b	(/ (* (+ y x) (- (* (* 1.0 1.0) 1.0) (* z (* z z)))) (+ (* 1.0 1.0) (+ (* z z) (* 1.0 z))))

rewrite682.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1`
16×	`add-exp-log` `add-cbrt-cube`
12×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
9×	`add-cube-cbrt`
8×	`frac-times` `flip3-+` `flip-+` `associate-/l/`
7×	`associate-l`
6×	`flip3--` `flip--` `add-log-exp`
5×	`associate-r` `prod-exp` `pow-prod-up` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-r/` `pow-prod-down` `associate-l/` `log1p-expm1-u`
3×	`distribute-rgt-in` `distribute-lft-in` `times-frac` `associate-/r*`
2×	`cbrt-undiv` `sub-neg` `cube-unmult` `div-exp` `prod-diff` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`difference-cubes` `+-commutative` `pow2` `distribute-rgt-out` `fma-def` `frac-2neg` `pow-plus` `pow3` `clear-num` `sum-log` `pow-sqr` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

4 → 110

Calls

4 calls:

17.0ms	(+ (* z z) (* 1.0 z))
34.0ms	(* z (* z z))
264.0ms	(* (+ y x) (- (* (* 1.0 1.0) 1.0) (* z (* z z))))
361.0ms	(/ (* (+ y x) (- (* (* 1.0 1.0) 1.0) (* z (* z z)))) (+ (* 1.0 1.0) (+ (* z z) (* 1.0 z))))

series662.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(+ (* z z) (* 1.0 z))
63.0ms	(* z (* z z))
194.0ms	(* (+ y x) (- (* (* 1.0 1.0) 1.0) (* z (* z z))))
297.0ms	(/ (* (+ y x) (- (* (* 1.0 1.0) 1.0) (* z (* z z)))) (+ (* 1.0 1.0) (+ (* z z) (* 1.0 z))))

simplify4.2s

Counts

122 → 122

Iterations

Iter	Nodes
done	5002
2	2901
1	675
0	207

prune1.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (fma (+ z 1.0) z (* 1.0 1.0)) (- x y))
2.2b	(* (- (* x x) (* y y)) (- (* (* 1.0 1.0) 1.0) (* z (* z z))))
2.4b	(- (* x x) (* y y))
36.5b	(/ (* (- (* x x) (* y y)) (- (* (* 1.0 1.0) 1.0) (* z (* z z)))) (* (fma (+ z 1.0) z (* 1.0 1.0)) (- x y)))

rewrite510.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
21×	`prod-diff`
20×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
15×	`flip3--` `flip--`
14×	`distribute-rgt-in` `distribute-lft-in`
9×	`associate-r`
8×	`pow1` `frac-times` `associate-*r/` `associate-/l/`
7×	`associate-l`
6×	`prod-exp` `cbrt-unprod` `add-log-exp`
5×	`sub-neg`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `associate-*l/` `log1p-expm1-u`
3×	`difference-of-squares`
2×	`pow-prod-down` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`difference-cubes` `frac-2neg` `times-frac` `cube-unmult` `fma-neg` `diff-log` `pow3` `clear-num` `associate-/r` `div-inv` `associate-/l` `distribute-lft-out--`

Counts

4 → 132

Calls

4 calls:

48.0ms	(* (fma (+ z 1.0) z (* 1.0 1.0)) (- x y))
270.0ms	(* (- (* x x) (* y y)) (- (* (* 1.0 1.0) 1.0) (* z (* z z))))
15.0ms	(- (* x x) (* y y))
162.0ms	(/ (* (- (* x x) (* y y)) (- (* (* 1.0 1.0) 1.0) (* z (* z z)))) (* (fma (+ z 1.0) z (* 1.0 1.0)) (- x y)))

series1.3s

Counts

4 → 12

Calls

4 calls:

117.0ms	(* (fma (+ z 1.0) z (* 1.0 1.0)) (- x y))
238.0ms	(* (- (* x x) (* y y)) (- (* (* 1.0 1.0) 1.0) (* z (* z z))))
57.0ms	(- (* x x) (* y y))
871.0ms	(/ (* (- (* x x) (* y y)) (- (* (* 1.0 1.0) 1.0) (* z (* z z)))) (* (fma (+ z 1.0) z (* 1.0 1.0)) (- x y)))

simplify5.6s

Counts

144 → 144

Iterations

Iter	Nodes
done	5000
2	4032
1	784
0	264

prune2.7s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes1.6s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.5s	10090×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid