Details

sample26.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify923.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	21
1	35	21
2	64	21
3	121	21
4	216	21
5	314	21
6	414	21
7	520	21
8	622	21
9	665	21
10	667	21
done	667	21

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.4b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ z 6.012459259764103) z)
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
3.3b	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
17.8b	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`add-exp-log` `add-cbrt-cube`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt`
10×	`pow1` `associate-l`
9×	`associate-r`
5×	`flip3-+` `flip-+`
4×	`associate-r/` `associate-l/` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`times-frac` `pow-prod-down` `associate-/r` `-commutative` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `associate-/r/` `associate-/l/`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `clear-num` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

4 → 88

Calls

4 calls:

9.0ms	(* (+ z 6.012459259764103) z)
10.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
19.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
19.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series274.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (+ z 6.012459259764103) z)
63.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
53.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
117.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify721.0ms

Counts

100 → 100

Iterations

Useful iterations: 2 (159.0ms)

Iter	Nodes	Cost
0	190	1538
1	533	1492
2	2299	1282
done	5001	1282

prune266.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ z 6.012459259764103) z)
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
0.1b	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
14.6b	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
24×	`add-cube-cbrt`
21×	`associate-r`
19×	`times-frac`
15×	`add-exp-log` `add-cbrt-cube`
10×	`pow1` `associate-l`
5×	`flip3-+` `flip-+`
4×	`associate-*l/` `prod-exp` `associate-/r/` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `associate-/r` `-commutative` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `div-inv` `associate-/l/`
1×	`frac-2neg` `associate-*r/` `clear-num` `distribute-lft-out`

Counts

4 → 106

Calls

4 calls:

9.0ms	(* (+ z 6.012459259764103) z)
10.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
36.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
23.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series292.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (+ z 6.012459259764103) z)
62.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
120.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
65.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify734.0ms

Counts

118 → 118

Iterations

Useful iterations: 2 (164.0ms)

Iter	Nodes	Cost
0	209	2226
1	550	2178
2	2253	1940
done	5001	1940

prune308.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (+ (* z 0.0692910599291889) 0.4917317610505968))
1.0b	(cbrt (+ (* z 0.0692910599291889) 0.4917317610505968))
1.0b	(cbrt (+ (* z 0.0692910599291889) 0.4917317610505968))
14.6b	(/ (+ (* (* (cbrt (+ (* z 0.0692910599291889) 0.4917317610505968)) (cbrt (+ (* z 0.0692910599291889) 0.4917317610505968))) (* (cbrt (+ (* z 0.0692910599291889) 0.4917317610505968)) z)) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod` `times-frac`
6×	`add-exp-log` `cbrt-div` `add-cbrt-cube`
5×	`flip3-+` `flip-+`
4×	`pow1` `add-log-exp`
3×	`pow1/3` `associate-/r` `associate-/l`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 70

Calls

4 calls:

2.0ms	(cbrt (+ (* z 0.0692910599291889) 0.4917317610505968))
2.0ms	(cbrt (+ (* z 0.0692910599291889) 0.4917317610505968))
3.0ms	(cbrt (+ (* z 0.0692910599291889) 0.4917317610505968))
117.0ms	(/ (+ (* (* (cbrt (+ (* z 0.0692910599291889) 0.4917317610505968)) (cbrt (+ (* z 0.0692910599291889) 0.4917317610505968))) (* (cbrt (+ (* z 0.0692910599291889) 0.4917317610505968)) z)) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series437.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(cbrt (+ (* z 0.0692910599291889) 0.4917317610505968))
120.0ms	(cbrt (+ (* z 0.0692910599291889) 0.4917317610505968))
124.0ms	(cbrt (+ (* z 0.0692910599291889) 0.4917317610505968))
63.0ms	(/ (+ (* (* (cbrt (+ (* z 0.0692910599291889) 0.4917317610505968)) (cbrt (+ (* z 0.0692910599291889) 0.4917317610505968))) (* (cbrt (+ (* z 0.0692910599291889) 0.4917317610505968)) z)) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify454.0ms

Counts

82 → 82

Iterations

Useful iterations: done (450.0ms)

Iter	Nodes	Cost
0	178	2556
1	446	2512
2	1481	1824
done	5001	1773

prune379.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ z 6.012459259764103) z)
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
0.3b	(/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))
14.7b	(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
64×	`add-sqr-sqrt`
62×	`*-un-lft-identity`
60×	`add-cube-cbrt`
18×	`associate-/r*`
15×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r/`
8×	`pow1` `flip3-+` `flip-+`
7×	`associate-l`
6×	`associate-r` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp` `associate-*l/` `add-log-exp`
2×	`frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`distribute-lft-out`

Counts

4 → 150

Calls

4 calls:

9.0ms	(* (+ z 6.012459259764103) z)
13.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
20.0ms	(/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))
21.0ms	(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

series291.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (+ z 6.012459259764103) z)
66.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
118.0ms	(/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))
65.0ms	(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

simplify892.0ms

Counts

162 → 162

Iterations

Useful iterations: 2 (230.0ms)

Iter	Nodes	Cost
0	303	4145
1	739	4037
2	3154	3793
done	5001	3793

prune488.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes93.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 15.5b

bsearch153.0ms

Steps

Iters	Range		Point
7	2942.2625356967415	64063.92193037696	63485.56364381746
10	-4.5045000713410016e+17	-446990.4318730037	-2712764.504135835

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	37	74
1	53	60
done	53	60

end0.0ms

sample480.0ms

Algorithm

intervals

Results

318.0ms

8000×

body

valid