Details

sample75.0ms

Algorithm

intervals

Results

34.0ms

279×

body

valid

simplify2.3s

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.2b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
0.1b	(* (+ (* z 3.13060547623) 11.1667541262) z)
2.2b	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
28.5b	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite431.0ms

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:

70.0ms	(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
49.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
179.0ms	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
131.0ms	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series1.1s

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
105.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
252.0ms	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
632.0ms	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify1.3s

Counts

99 → 99

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	206	2473
1	574	2437
2	2127	2087
done	5000	2075

prune647.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.6b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) 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)))
27.3b	(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

rewrite457.0ms

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:

68.0ms	(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
31.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
163.0ms	(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
189.0ms	(/ (+ (* (+ (* (+ (* (+ 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:

48.0ms	(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
73.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
702.0ms	(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
202.0ms	(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

simplify1.7s

Counts

161 → 161

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	298	7054
1	717	6946
2	2595	6534
done	5001	6516

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 4.6b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
0.1b	(* (+ (* z 3.13060547623) 11.1667541262) z)
3.8b	(/ y (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))
28.8b	(* (/ y (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

rewrite604.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 109

Calls

4 calls:

62.0ms	(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
29.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
75.0ms	(/ y (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))
435.0ms	(* (/ y (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

series1.0s

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
94.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
237.0ms	(/ y (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))
651.0ms	(* (/ y (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

simplify1.9s

Counts

121 → 121

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	249	3397
1	750	3355
2	2652	3015
done	5000	3003

prune880.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 4.6b

localize79.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
2.2b	(* y (+ (* (+ (* (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) (* (cbrt z) (cbrt z))) (cbrt z)) a) z) b))
28.5b	(/ (* y (+ (* (+ (* (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) (* (cbrt z) (cbrt z))) (cbrt z)) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
816.0ms	(* y (+ (* (+ (* (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) (* (cbrt z) (cbrt z))) (cbrt z)) a) z) b))
401.0ms	(/ (* y (+ (* (+ (* (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) (* (cbrt z) (cbrt z))) (cbrt z)) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series1.9s

Counts

4 → 12

Calls

4 calls:

331.0ms	(cbrt z)
313.0ms	(cbrt z)
433.0ms	(* y (+ (* (+ (* (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) (* (cbrt z) (cbrt z))) (cbrt z)) a) z) b))
826.0ms	(/ (* y (+ (* (+ (* (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) (* (cbrt z) (cbrt z))) (cbrt z)) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify1.2s

Counts

81 → 81

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	160	2434
1	427	2414
2	1478	1838
done	5001	1649

prune689.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.5b

regimes781.0ms

Accuracy

96.6% (0.9b remaining)

Error of 1.3b against oracle of 0.4b and baseline of 26.5b

bsearch344.0ms

Steps

Iters	Range		Point
8	58161725028366.24	1.3010483917410328e+17	1.2853526268829621e+17
7	-1.915538204409738e+58	-3.0309842811750995e+56	-3.35177048984485e+56

simplify13.0ms

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	44	75
1	67	61
done	67	61

end0.0ms

sample3.0s

Algorithm

intervals

Results

2.2s

8886×

body

valid