Details

sample107.0ms

Algorithm

intervals

Results

44.0ms	397×	body	80	nan
26.0ms	393×	body	80	valid

simplify46.0ms

Counts: 1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.8b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (* (- x (/ 1.0 2.0)) (log x)) x) (/ 2069265617858471.0 2251799813685248.0))
0.2b	(- (* (- x (/ 1.0 2.0)) (log x)) x)
0.2b	(* (- x (/ 1.0 2.0)) (log x))
8.9b	(/ (+ (* (- (* (+ y (/ 7320129949063637.0 9.223372036854776e+18)) z) (/ 3202559735019045.0 1.152921504606847e+18)) z) (/ 6004799503160637.0 7.205759403792794e+16)) x)

rewrite295.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

100.0ms	(+ (- (* (- x (/ 1.0 2.0)) (log x)) x) (/ 2069265617858471.0 2251799813685248.0))
24.0ms	(- (* (- x (/ 1.0 2.0)) (log x)) x)
61.0ms	(* (- x (/ 1.0 2.0)) (log x))
107.0ms	(/ (+ (* (- (* (+ y (/ 7320129949063637.0 9.223372036854776e+18)) z) (/ 3202559735019045.0 1.152921504606847e+18)) z) (/ 6004799503160637.0 7.205759403792794e+16)) x)

series1.8s

Counts

4 → 12

Calls

4 calls:

596.0ms	(+ (- (* (- x (/ 1.0 2.0)) (log x)) x) (/ 2069265617858471.0 2251799813685248.0))
669.0ms	(- (* (- x (/ 1.0 2.0)) (log x)) x)
400.0ms	(* (- x (/ 1.0 2.0)) (log x))
93.0ms	(/ (+ (* (- (* (+ y (/ 7320129949063637.0 9.223372036854776e+18)) z) (/ 3202559735019045.0 1.152921504606847e+18)) z) (/ 6004799503160637.0 7.205759403792794e+16)) x)

simplify52.0ms

Counts: 117 → 117

prune853.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 8.4b

localize59.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)
8.9b	(/ (+ (* (- (* (+ y (/ 7320129949063637.0 9.223372036854776e+18)) z) (/ 3202559735019045.0 1.152921504606847e+18)) z) (/ 6004799503160637.0 7.205759403792794e+16)) x)

rewrite473.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
468.0ms	(/ (+ (* (- (* (+ y (/ 7320129949063637.0 9.223372036854776e+18)) z) (/ 3202559735019045.0 1.152921504606847e+18)) z) (/ 6004799503160637.0 7.205759403792794e+16)) x)

series715.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(cbrt x)
205.0ms	(cbrt x)
195.0ms	(cbrt x)
93.0ms	(/ (+ (* (- (* (+ y (/ 7320129949063637.0 9.223372036854776e+18)) z) (/ 3202559735019045.0 1.152921504606847e+18)) z) (/ 6004799503160637.0 7.205759403792794e+16)) x)

simplify77.0ms

Counts: 78 → 78

prune663.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 8.4b

localize60.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
5.1b	(pow x 1/3)
8.9b	(/ (+ (* (- (* (+ y (/ 7320129949063637.0 9.223372036854776e+18)) z) (/ 3202559735019045.0 1.152921504606847e+18)) z) (/ 6004799503160637.0 7.205759403792794e+16)) x)

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-exp-log`
6×	`cbrt-prod` `associate-*l/` `add-cbrt-cube` `associate-/l/`
5×	`pow1`
4×	`frac-add` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `associate-/r` `associate-/l`
2×	`flip3-+` `pow1/3` `frac-sub` `flip-+`
1×	`cbrt-undiv` `pow-to-exp` `flip3--` `pow-pow` `frac-2neg` `unpow1/3` `div-exp` `pow-exp` `clear-num` `flip--` `div-inv` `sqr-pow`

Counts

4 → 73

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
3.0ms	(pow x 1/3)
117.0ms	(/ (+ (* (- (* (+ y (/ 7320129949063637.0 9.223372036854776e+18)) z) (/ 3202559735019045.0 1.152921504606847e+18)) z) (/ 6004799503160637.0 7.205759403792794e+16)) x)

series880.0ms

Counts

4 → 12

Calls

4 calls:

275.0ms	(cbrt x)
263.0ms	(cbrt x)
233.0ms	(pow x 1/3)
109.0ms	(/ (+ (* (- (* (+ y (/ 7320129949063637.0 9.223372036854776e+18)) z) (/ 3202559735019045.0 1.152921504606847e+18)) z) (/ 6004799503160637.0 7.205759403792794e+16)) x)

simplify89.0ms

Counts: 85 → 85

prune673.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 8.4b

localize58.0ms

Local error

Found 4 expressions with local error:

3.7b	(pow (cbrt x) 1/3)
4.6b	(pow (pow x 1/3) 2/3)
5.1b	(pow x 1/3)
8.9b	(/ (+ (* (- (* (+ y (/ 7320129949063637.0 9.223372036854776e+18)) z) (/ 3202559735019045.0 1.152921504606847e+18)) z) (/ 6004799503160637.0 7.205759403792794e+16)) x)

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
19×	`unpow-prod-down`
10×	`add-exp-log`
9×	`pow-unpow` `times-frac`
6×	`pow1` `associate-*l/` `pow-exp` `add-cbrt-cube` `associate-/l/`
4×	`pow-to-exp` `pow-pow` `frac-add` `add-log-exp` `sqr-pow`
3×	`cbrt-prod` `associate-/r` `associate-/l`
2×	`flip3-+` `unpow1/3` `frac-sub` `flip-+`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `pow1/3` `div-exp` `clear-num` `flip--` `div-inv`

Counts

4 → 96

Calls

4 calls:

4.0ms	(pow (cbrt x) 1/3)
8.0ms	(pow (pow x 1/3) 2/3)
3.0ms	(pow x 1/3)
109.0ms	(/ (+ (* (- (* (+ y (/ 7320129949063637.0 9.223372036854776e+18)) z) (/ 3202559735019045.0 1.152921504606847e+18)) z) (/ 6004799503160637.0 7.205759403792794e+16)) x)

series1.2s

Counts

4 → 12

Calls

4 calls:

382.0ms	(pow (cbrt x) 1/3)
453.0ms	(pow (pow x 1/3) 2/3)
251.0ms	(pow x 1/3)
126.0ms	(/ (+ (* (- (* (+ y (/ 7320129949063637.0 9.223372036854776e+18)) z) (/ 3202559735019045.0 1.152921504606847e+18)) z) (/ 6004799503160637.0 7.205759403792794e+16)) x)

simplify38.0ms

Counts: 108 → 108

prune955.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 8.4b

regimes324.0ms

Accuracy

62% (0.5b remaining)

Error of 5.5b against oracle of 5.0b and baseline of 6.3b

bsearch79.0ms

Steps

Iters	Range		Point
5	5.875000228368481e+80	2.0888756954154975e+81	1.5237600542137476e+81

simplify41.0ms

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.8s	11640×	body	80	valid
1.3s	11821×	body	80	nan