Details

sample62.0ms

Algorithm

intervals

Results

43.0ms

323×

body

valid

simplify84.0ms

Counts

1 → 1

Iterations

Iter	Nodes
8	58
7	58
6	55
5	52
4	46
3	39
2	29
1	16
0	10

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 4) y)
0.0b	(- (/ (+ x 4) y) (* (/ x y) z))
3.3b	(* (/ x y) z)

rewrite113.0ms

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:

25.0ms	(/ (+ x 4) y)
71.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
15.0ms	(* (/ x y) z)

series134.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ (+ x 4) y)
74.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
25.0ms	(* (/ x y) z)

simplify3.9s

Counts

126 → 126

Iterations

Iter	Nodes
3	4327
2	1292
1	411
0	165

prune1.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 1 (/ (+ x 4) y) (- (* z (/ x y))))
3.3b	(* z (/ x y))
3.3b	(* z (/ x y))
48.8b	(fma (- z) (/ x y) (* z (/ x y)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
26×	`associate-r`
20×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
14×	`add-cbrt-cube` `add-exp-log`
8×	`pow1`
6×	`associate-l`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `fma-udef` `div-inv`

Counts

4 → 88

Calls

4 calls:

0.0ms	(fma 1 (/ (+ x 4) y) (- (* z (/ x y))))
16.0ms	(* z (/ x y))
9.0ms	(* z (/ x y))
0.0ms	(fma (- z) (/ x y) (* z (/ x y)))

series182.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(fma 1 (/ (+ x 4) y) (- (* z (/ x y))))
21.0ms	(* z (/ x y))
34.0ms	(* z (/ x y))
56.0ms	(fma (- z) (/ x y) (* z (/ x y)))

simplify848.0ms

Counts

100 → 100

Iterations

Iter	Nodes
3	2262
2	655
1	231
0	104

prune1.5s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ x 4))
0.0b	(- (/ 1 (/ y (+ x 4))) (* (/ x y) z))
0.1b	(/ 1 (/ y (+ x 4)))
3.3b	(* (/ x y) z)

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

304×	`times-frac`
226×	`*-un-lft-identity`
163×	`add-sqr-sqrt`
158×	`add-cube-cbrt`
59×	`fma-neg` `prod-diff`
34×	`distribute-lft-out`
25×	`associate-/r/`
22×	`associate-/r*` `add-exp-log`
16×	`add-cbrt-cube`
15×	`div-inv`
13×	`associate-l`
11×	`flip3-+` `flip-+`
9×	`div-exp`
7×	`pow1`
6×	`associate-/l*` `add-log-exp`
5×	`cbrt-undiv`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `pow-flip` `flip--` `inv-pow`

Counts

4 → 300

Calls

4 calls:

9.0ms	(/ y (+ x 4))
76.0ms	(- (/ 1 (/ y (+ x 4))) (* (/ x y) z))
11.0ms	(/ 1 (/ y (+ x 4)))
13.0ms	(* (/ x y) z)

series185.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ y (+ x 4))
65.0ms	(- (/ 1 (/ y (+ x 4))) (* (/ x y) z))
38.0ms	(/ 1 (/ y (+ x 4)))
39.0ms	(* (/ x y) z)

simplify1.8s

Counts

312 → 312

Iterations

Iter	Nodes
2	2590
1	849
0	336

prune3.6s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* (cbrt (+ x 4)) (cbrt (+ x 4))) (/ y (cbrt (+ x 4))))
0.4b	(/ y (cbrt (+ x 4)))
0.8b	(* (cbrt (+ x 4)) (cbrt (+ x 4)))
3.3b	(* (/ x y) z)

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

100×	`times-frac`
98×	`*-un-lft-identity`
77×	`add-sqr-sqrt`
64×	`cbrt-prod` `add-cube-cbrt`
34×	`associate-/r*`
30×	`cbrt-div`
25×	`add-exp-log`
20×	`associate-l`
16×	`add-cbrt-cube` `distribute-lft-out`
15×	`flip3-+` `flip-+`
13×	`pow1`
10×	`associate-r`
9×	`swap-sqr`
8×	`frac-times` `cbrt-undiv` `div-exp` `associate-/l/`
7×	`associate-/r/`
6×	`pow1/3` `unswap-sqr`
5×	`associate-*l/` `prod-exp` `cbrt-unprod` `div-inv`
4×	`expm1-log1p-u` `associate-r/` `log1p-expm1-u` `associate-/l` `add-log-exp`
3×	`pow-prod-down`
2×	`clear-num` `frac-2neg` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 220

Calls

4 calls:

21.0ms	(/ (* (cbrt (+ x 4)) (cbrt (+ x 4))) (/ y (cbrt (+ x 4))))
7.0ms	(/ y (cbrt (+ x 4)))
21.0ms	(* (cbrt (+ x 4)) (cbrt (+ x 4)))
9.0ms	(* (/ x y) z)

series218.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ (* (cbrt (+ x 4)) (cbrt (+ x 4))) (/ y (cbrt (+ x 4))))
86.0ms	(/ y (cbrt (+ x 4)))
65.0ms	(* (cbrt (+ x 4)) (cbrt (+ x 4)))
37.0ms	(* (/ x y) z)

simplify873.0ms

Counts

232 → 232

Iterations

Iter	Nodes
2	2599
1	898
0	350

prune2.7s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes185.0ms

Accuracy

77.7% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.6b

bsearch128.0ms

Steps

Iters	Range		Point
9	1.9275710941440815e-56	5.748224746625997e-47	6.0780598867908964e-49
6	-2.464779414722582e+108	-2.263132015969155e+107	-4.245390209416525e+107

simplify19.0ms

Iterations

Iter	Nodes
3	51
2	51
1	41
0	28

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.2s

10136×

body

valid