Details

sample54.0ms

Algorithm

intervals

Results

25.0ms

295×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	37
1	55	37
2	116	37
3	325	37
4	891	37
5	2484	37
done	5000	37

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.9b

localize47.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
0.1b	(* (+ (* z 3.13060547623) 11.1667541262) z)
0.8b	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
28.7b	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite405.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1`
9×	`associate-r` `associate-l`
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` `associate-/l*`

Counts

4 → 87

Calls

4 calls:

42.0ms	(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
35.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
185.0ms	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
140.0ms	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series973.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
77.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
215.0ms	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
636.0ms	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify1.2s

Counts

99 → 99

Iterations

Useful iterations: 2 (479.0ms)

Iter	Nodes	Cost
0	208	2415
1	585	2393
2	2186	2025
done	5001	2025

prune675.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.5b

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
0.1b	(* (+ (* z 3.13060547623) 11.1667541262) z)
0.1b	(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
26.6b	(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

rewrite366.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
64×	`add-sqr-sqrt`
60×	`add-cube-cbrt` `*-un-lft-identity`
18×	`associate-/r*`
15×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r/`
8×	`pow1` `flip3-+` `flip-+`
6×	`associate-r` `associate-l` `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`

Counts

4 → 149

Calls

4 calls:

46.0ms	(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
28.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
129.0ms	(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
156.0ms	(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

series1.0s

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
90.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
662.0ms	(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
193.0ms	(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

simplify1.4s

Counts

161 → 161

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	300	6996
1	728	6902
2	2647	6472
done	5001	6466

prune868.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 3.5b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* z 3.13060547623) 11.1667541262) z)
0.2b	(/ 1 (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
2.5b	(/ y (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))
29.0b	(/ (/ y (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)) (/ 1 (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))

rewrite542.0ms

Algorithm

rewrite-expression-head

Rules

531×	`times-frac`
248×	`add-sqr-sqrt`
246×	`add-cube-cbrt` `*-un-lft-identity`
69×	`associate-/r/`
35×	`flip3-+` `flip-+` `div-inv`
34×	`add-exp-log`
22×	`add-cbrt-cube`
21×	`associate-/r` `associate-/l`
19×	`div-exp`
10×	`cbrt-undiv`
7×	`pow1`
4×	`add-log-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `associate-r` `associate-l` `clear-num`
2×	`associate-*l/`
1×	`pow-flip` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `associate-/l/` `inv-pow` `unswap-sqr`

Counts

4 → 361

Calls

4 calls:

41.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
123.0ms	(/ 1 (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
79.0ms	(/ y (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))
260.0ms	(/ (/ y (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)) (/ 1 (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))

series1.0s

Counts

4 → 12

Calls

4 calls:

103.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
91.0ms	(/ 1 (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
187.0ms	(/ y (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))
632.0ms	(/ (/ y (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)) (/ 1 (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))

simplify2.2s

Counts

373 → 373

Iterations

Useful iterations: 2 (941.0ms)

Iter	Nodes	Cost
0	647	23726
1	1814	22486
2	4939	21636
done	5000	21636

prune1.8s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 3.5b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
0.4b	(/ 1 (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) y))
2.4b	(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) y)
29.0b	(/ (/ 1 (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) y)) (/ 1 (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))

rewrite641.0ms

Algorithm

rewrite-expression-head

Rules

2214×	`times-frac`
937×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
117×	`div-inv`
110×	`associate-/r/`
104×	`add-exp-log`
80×	`div-exp`
53×	`associate-/l*`
47×	`flip3-+` `flip-+`
34×	`associate-/r*` `add-cbrt-cube`
20×	`cbrt-undiv`
18×	`rec-exp` `1-exp`
6×	`pow1`
4×	`frac-2neg` `clear-num` `add-log-exp`
3×	`associate-/l/`
2×	`pow-flip` `inv-pow`

Counts

4 → 903

Calls

4 calls:

89.0ms	(/ 1 (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
48.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) y))
122.0ms	(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) y)
243.0ms	(/ (/ 1 (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) y)) (/ 1 (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))

series724.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(/ 1 (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
93.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) y))
105.0ms	(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) y)
433.0ms	(/ (/ 1 (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) y)) (/ 1 (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))

simplify2.9s

Counts

915 → 915

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	1447	66835
1	4136	61092
done	5000	59575

prune3.1s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 3.5b

regimes1.1s

Accuracy

94.1% (1.4b remaining)

Error of 4.6b against oracle of 3.1b and baseline of 27.5b

bsearch378.0ms

Steps

Iters	Range		Point
7	5.840439438579558e+61	8.990323642038139e+63	2.610770306171522e+63
8	-7.525885441711683e+74	-2.341536161127332e+70	-2.5432980834761282e+70

simplify14.0ms

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	47	83
1	71	65
done	71	65

end0.0ms

sample2.9s

Algorithm

intervals

Results

2.1s

8878×

body

valid