Details

sample226.0ms

Algorithm

intervals

Results

109.0ms	362×	body	80	valid
77.0ms	398×	body	80	nan

simplify11.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	3225
5	1468
4	651
3	234
2	83
1	37
0	20

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.9b

localize47.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
0.2b	(- (* (- x 0.5) (log x)) x)
0.2b	(* (- x 0.5) (log x))
4.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite6.5s

Algorithm

rewrite-expression-head

Rules

102×	`*-un-lft-identity`
34×	`add-sqr-sqrt`
33×	`associate-l`
28×	`distribute-lft-out`
25×	`add-cube-cbrt`
24×	`times-frac`
21×	`distribute-lft-out--`
18×	`log-prod`
12×	`associate--l+`
11×	`add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`associate-+l+` `add-cbrt-cube` `add-exp-log` `associate-/l*`
7×	`pow1`
4×	`associate-r` `insert-posit16`
3×	`associate-/r*` `difference-of-squares`
2×	`sum-log` `sub-neg` `flip3-+` `flip3--` `diff-log` `associate-*l/` `flip-+` `flip--` `unswap-sqr` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `associate-+l-` `cbrt-unprod` `div-inv`

Counts

4 → 130

Calls

4 calls:

740.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
170.0ms	(- (* (- x 0.5) (log x)) x)
33.0ms	(* (- x 0.5) (log x))
5.6s	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.9s

Counts

4 → 12

Calls

4 calls:

724.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
672.0ms	(- (* (- x 0.5) (log x)) x)
398.0ms	(* (- x 0.5) (log x))
120.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.6s

Counts

142 → 142

Iterations

Iter	Nodes
done	5001
2	1485
1	538
0	224

prune956.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.7b

localize106.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)
4.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite5.5s

Algorithm

rewrite-expression-head

Rules

76×	`*-un-lft-identity`
24×	`times-frac` `associate-l` `distribute-lft-out`
20×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`distribute-lft-out--`
9×	`cbrt-prod`
8×	`associate-/l*`
6×	`add-cbrt-cube` `add-exp-log`
4×	`pow1` `insert-posit16` `add-log-exp`
3×	`associate-/r*` `pow1/3`
2×	`associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv`

Counts

4 → 86

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
5.5s	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.2s

Counts

4 → 12

Calls

4 calls:

365.0ms	(cbrt x)
295.0ms	(cbrt x)
334.0ms	(cbrt x)
160.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify2.0s

Counts

98 → 98

Iterations

Iter	Nodes
done	5022
3	2504
2	643
1	226
0	99

prune748.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- x 0.5) (log x))
0.2b	(- (sqrt (* (- x 0.5) (log x))) (sqrt x))
0.4b	(* (+ (sqrt (* (- x 0.5) (log x))) (sqrt x)) (- (sqrt (* (- x 0.5) (log x))) (sqrt x)))
4.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite6.5s

Algorithm

rewrite-expression-head

Rules

108×	`*-un-lft-identity`
57×	`add-sqr-sqrt`
42×	`associate-l`
32×	`sqrt-prod`
28×	`distribute-lft-out`
24×	`times-frac` `distribute-lft-out--`
23×	`add-cube-cbrt`
17×	`associate-r`
13×	`difference-of-squares`
10×	`add-cbrt-cube` `add-exp-log`
9×	`pow1`
8×	`associate-/l*`
6×	`log-prod` `add-log-exp` `unswap-sqr`
5×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `flip--`
4×	`frac-times` `flip3-+` `associate-*l/` `flip-+` `insert-posit16`
3×	`associate-/r*` `sub-neg`
2×	`pow-prod-down` `prod-exp` `associate-r/` `-commutative` `cbrt-unprod` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `diff-log` `div-exp` `log-pow` `div-inv`

Counts

4 → 148

Calls

4 calls:

47.0ms	(* (- x 0.5) (log x))
228.0ms	(- (sqrt (* (- x 0.5) (log x))) (sqrt x))
898.0ms	(* (+ (sqrt (* (- x 0.5) (log x))) (sqrt x)) (- (sqrt (* (- x 0.5) (log x))) (sqrt x)))
5.3s	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.4s

Counts

4 → 12

Calls

4 calls:

449.0ms	(* (- x 0.5) (log x))
198.0ms	(- (sqrt (* (- x 0.5) (log x))) (sqrt x))
577.0ms	(* (+ (sqrt (* (- x 0.5) (log x))) (sqrt x)) (- (sqrt (* (- x 0.5) (log x))) (sqrt x)))
145.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify6.6s

Counts

160 → 160

Iterations

Iter	Nodes
done	5000
1	1331
0	480

prune1.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.9b

localize100.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)
5.0b	(* (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) (/ 1 x))

rewrite6.7s

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
21×	`add-cube-cbrt`
18×	`frac-times`
14×	`associate-l`
13×	`associate-r` `add-exp-log`
11×	`times-frac`
10×	`flip3-+` `flip-+` `associate-/l*`
9×	`cbrt-prod` `associate-/r` `add-cbrt-cube` `associate-r/`
6×	`pow1` `distribute-lft-out`
4×	`clear-num` `prod-exp` `insert-posit16` `add-log-exp`
3×	`frac-2neg` `pow1/3` `un-div-inv` `distribute-lft-out--` `unswap-sqr`
2×	`div-exp` `associate-*l/` `cbrt-unprod`
1×	`cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `*-commutative` `div-inv`

Counts

4 → 108

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
6.7s	(* (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) (/ 1 x))

series893.0ms

Counts

4 → 12

Calls

4 calls:

233.0ms	(cbrt x)
274.0ms	(cbrt x)
271.0ms	(cbrt x)
116.0ms	(* (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) (/ 1 x))

simplify1.6s

Counts

120 → 120

Iterations

Iter	Nodes
done	5003
2	1424
1	447
0	162

prune848.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes784.0ms

Accuracy

92.1% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 5.7b

bsearch162.0ms

Steps

Iters	Range		Point
8	7.143616659564812e-05	1.3127375389746552	1.285115805799906

simplify9.0ms

Iterations

Iter	Nodes
done	57
1	57
0	43

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.4s	11694×	body	80	valid
2.1s	11843×	body	80	nan