Details

sample30.0ms

Algorithm

intervals

Results

17.0ms

256×

body

valid

simplify937.0ms

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

localize14.0ms

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))

rewrite61.0ms

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)
11.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
21.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
17.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series289.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (+ z 6.012459259764103) z)
69.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
55.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
122.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify643.0ms

Counts

100 → 100

Iterations

Useful iterations: 2 (153.0ms)

Iter	Nodes	Cost
0	190	1538
1	533	1492
2	1984	1282
done	5000	1282

prune293.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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))

rewrite84.0ms

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:

10.0ms	(* (+ z 6.012459259764103) z)
10.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
39.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
21.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series308.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (+ z 6.012459259764103) z)
69.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
122.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
68.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify611.0ms

Counts

118 → 118

Iterations

Useful iterations: 2 (157.0ms)

Iter	Nodes	Cost
0	209	2226
1	550	2178
2	1889	1940
done	5000	1940

prune334.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize18.0ms

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))

rewrite128.0ms

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))
2.0ms	(cbrt (+ (* z 0.0692910599291889) 0.4917317610505968))
119.0ms	(/ (+ (* (* (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))

series463.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(cbrt (+ (* z 0.0692910599291889) 0.4917317610505968))
136.0ms	(cbrt (+ (* z 0.0692910599291889) 0.4917317610505968))
128.0ms	(cbrt (+ (* z 0.0692910599291889) 0.4917317610505968))
69.0ms	(/ (+ (* (* (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))

simplify468.0ms

Counts

82 → 82

Iterations

Useful iterations: done (464.0ms)

Iter	Nodes	Cost
0	178	2556
1	446	2512
2	1412	1824
done	5000	1705

prune407.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

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))

rewrite71.0ms

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:

13.0ms	(* (+ z 6.012459259764103) z)
10.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
20.0ms	(/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))
22.0ms	(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

series307.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (+ z 6.012459259764103) z)
71.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
131.0ms	(/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))
63.0ms	(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

simplify805.0ms

Counts

162 → 162

Iterations

Useful iterations: 2 (221.0ms)

Iter	Nodes	Cost
0	303	4145
1	739	4037
2	2767	3793
done	5000	3793

prune532.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes101.0ms

Accuracy

99.6% (0.1b remaining)

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

bsearch166.0ms

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	36	74
1	52	60
done	52	60

end0.0ms

sample509.0ms

Algorithm

intervals

Results

338.0ms

8000×

body

valid