Details

sample45.0ms

Algorithm

intervals

Results

21.0ms

311×

body

valid

simplify87.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	63
7	63
6	61
5	55
4	49
3	42
2	29
1	16
0	10

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 4.0) y)
0.0b	(- (/ (+ x 4.0) y) (* (/ x y) z))
2.5b	(* (/ x y) z)

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
46×	`times-frac`
41×	`add-sqr-sqrt`
36×	`add-cube-cbrt`
16×	`fma-neg` `prod-diff`
13×	`associate-l`
10×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out`
5×	`pow1` `add-log-exp`
4×	`div-inv` `associate-/l*`
3×	`expm1-log1p-u` `associate-/r` `associate-r` `associate-l/` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr` `associate-/l/`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `flip-+` `flip--` `sub-div`

Counts

3 → 117

Calls

3 calls:

31.0ms	(/ (+ x 4.0) y)
103.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
24.0ms	(* (/ x y) z)

series146.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ (+ x 4.0) y)
61.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
46.0ms	(* (/ x y) z)

simplify1.8s

Counts

126 → 126

Iterations

Iter	Nodes
done	5001
2	2049
1	411
0	165

prune710.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) (- (/ 4.0 y) (* z (/ x y))))
0.0b	(- (/ 4.0 y) (* z (/ x y)))
2.5b	(* z (/ x y))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

46×	`times-frac`
44×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
39×	`add-cube-cbrt`
26×	`prod-diff`
15×	`associate-+r+`
13×	`fma-def` `fma-neg` `associate-r`
10×	`add-log-exp`
8×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-*r/` `div-inv`
4×	`frac-add`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u`
2×	`sum-log` `sub-neg` `flip3--` `diff-log` `prod-exp` `frac-sub` `cbrt-unprod` `flip--` `sub-div` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `flip3-+` `div-exp` `pow-prod-down` `*-commutative` `flip-+` `distribute-lft-out`

Counts

3 → 124

Calls

3 calls:

49.0ms	(+ (/ x y) (- (/ 4.0 y) (* z (/ x y))))
33.0ms	(- (/ 4.0 y) (* z (/ x y)))
17.0ms	(* z (/ x y))

series168.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(+ (/ x y) (- (/ 4.0 y) (* z (/ x y))))
68.0ms	(- (/ 4.0 y) (* z (/ x y)))
22.0ms	(* z (/ x y))

simplify1.1s

Counts

133 → 133

Iterations

Iter	Nodes
done	5000
2	1888
1	510
0	192

prune799.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ x y)) (cbrt (/ x y)))
10.2b	(cbrt (/ x y))
10.2b	(cbrt (/ x y))
10.2b	(cbrt (/ x y))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`*-un-lft-identity` `add-cube-cbrt`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 152

Calls

4 calls:

43.0ms	(* (cbrt (/ x y)) (cbrt (/ x y)))
4.0ms	(cbrt (/ x y))
4.0ms	(cbrt (/ x y))
4.0ms	(cbrt (/ x y))

series377.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(* (cbrt (/ x y)) (cbrt (/ x y)))
89.0ms	(cbrt (/ x y))
83.0ms	(cbrt (/ x y))
86.0ms	(cbrt (/ x y))

simplify987.0ms

Counts

164 → 164

Iterations

Iter	Nodes
done	5001
2	1230
1	290
0	165

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) (- (/ 4.0 y) (/ (* x z) y)))
0.0b	(- (/ 4.0 y) (/ (* x z) y))
4.3b	(/ (* x z) y)

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

226×	`times-frac`
182×	`prod-diff`
176×	`*-un-lft-identity`
174×	`add-sqr-sqrt`
169×	`add-cube-cbrt`
93×	`associate-+r+`
45×	`div-inv`
13×	`fma-def` `fma-neg`
10×	`add-log-exp`
8×	`add-cbrt-cube` `add-exp-log`
4×	`frac-add`
3×	`expm1-log1p-u` `pow1` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `sum-log` `sub-neg` `flip3--` `diff-log` `div-exp` `frac-sub` `flip--` `distribute-lft-out` `distribute-lft-out--` `sub-div` `difference-of-squares`
1×	`+-commutative` `clear-num` `associate-+r-` `frac-2neg` `flip3-+` `distribute-rgt-out--` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l*`

Counts

3 → 274

Calls

3 calls:

91.0ms	(+ (/ x y) (- (/ 4.0 y) (/ (* x z) y)))
39.0ms	(- (/ 4.0 y) (/ (* x z) y))
13.0ms	(/ (* x z) y)

series129.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(+ (/ x y) (- (/ 4.0 y) (/ (* x z) y)))
45.0ms	(- (/ 4.0 y) (/ (* x z) y))
28.0ms	(/ (* x z) y)

simplify1.8s

Counts

283 → 283

Iterations

Iter	Nodes
done	5000
2	3378
1	853
0	357

prune1.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes176.0ms

Accuracy

49% (1.7b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 3.4b

bsearch57.0ms

Steps

Iters	Range		Point
9	1.0614652160556683e-07	7.830610238325062	7.72835707645414

simplify10.0ms

Iterations

Iter	Nodes
done	37
3	37
2	34
1	30
0	24

end0.0ms

sample821.0ms

Algorithm

intervals

Results

561.0ms

10109×

body

valid