Details

sample164.0ms

Algorithm

intervals

Results

57.0ms	383×	body	80	valid
49.0ms	425×	body	80	nan

simplify978.0ms

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.7b

localize77.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* (- x (/ 1.0 2.0)) (log x)) x)
0.2b	(* (- x (/ 1.0 2.0)) (log x))
0.2b	(+ (- (* (- x (/ 1.0 2.0)) (log x)) x) (/ 2069265617858471.0 2251799813685248.0))
3.3b	(/ (+ (* (- (* (+ y (/ 7320129949063637.0 9.223372036854776e+18)) z) (/ 3202559735019045.0 1.152921504606847e+18)) z) (/ 6004799503160637.0 7.205759403792794e+16)) x)

rewrite371.0ms

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:

33.0ms	(- (* (- x (/ 1.0 2.0)) (log x)) x)
55.0ms	(* (- x (/ 1.0 2.0)) (log x))
134.0ms	(+ (- (* (- x (/ 1.0 2.0)) (log x)) x) (/ 2069265617858471.0 2251799813685248.0))
142.0ms	(/ (+ (* (- (* (+ y (/ 7320129949063637.0 9.223372036854776e+18)) z) (/ 3202559735019045.0 1.152921504606847e+18)) z) (/ 6004799503160637.0 7.205759403792794e+16)) x)

series2.5s

Counts

4 → 12

Calls

4 calls:

1.1s	(- (* (- x (/ 1.0 2.0)) (log x)) x)
447.0ms	(* (- x (/ 1.0 2.0)) (log x))
768.0ms	(+ (- (* (- x (/ 1.0 2.0)) (log x)) x) (/ 2069265617858471.0 2251799813685248.0))
150.0ms	(/ (+ (* (- (* (+ y (/ 7320129949063637.0 9.223372036854776e+18)) z) (/ 3202559735019045.0 1.152921504606847e+18)) z) (/ 6004799503160637.0 7.205759403792794e+16)) x)

simplify963.0ms

Counts: 117 → 117

prune934.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.8b

localize52.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)
3.3b	(/ (+ (* (- (* (+ y (/ 7320129949063637.0 9.223372036854776e+18)) z) (/ 3202559735019045.0 1.152921504606847e+18)) z) (/ 6004799503160637.0 7.205759403792794e+16)) x)

rewrite120.0ms

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)
116.0ms	(/ (+ (* (- (* (+ y (/ 7320129949063637.0 9.223372036854776e+18)) z) (/ 3202559735019045.0 1.152921504606847e+18)) z) (/ 6004799503160637.0 7.205759403792794e+16)) x)

series1.1s

Counts

4 → 12

Calls

4 calls:

345.0ms	(cbrt x)
316.0ms	(cbrt x)
287.0ms	(cbrt x)
106.0ms	(/ (+ (* (- (* (+ y (/ 7320129949063637.0 9.223372036854776e+18)) z) (/ 3202559735019045.0 1.152921504606847e+18)) z) (/ 6004799503160637.0 7.205759403792794e+16)) x)

simplify1.9s

Counts: 78 → 78

prune876.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.8b

localize69.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
3.3b	(/ (+ (* (- (* (+ y (/ 7320129949063637.0 9.223372036854776e+18)) z) (/ 3202559735019045.0 1.152921504606847e+18)) z) (/ 6004799503160637.0 7.205759403792794e+16)) x)
4.9b	(pow x 1/3)

rewrite125.0ms

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:

2.0ms	(cbrt x)
2.0ms	(cbrt x)
115.0ms	(/ (+ (* (- (* (+ y (/ 7320129949063637.0 9.223372036854776e+18)) z) (/ 3202559735019045.0 1.152921504606847e+18)) z) (/ 6004799503160637.0 7.205759403792794e+16)) x)
3.0ms	(pow x 1/3)

series970.0ms

Counts

4 → 12

Calls

4 calls:

304.0ms	(cbrt x)
245.0ms	(cbrt x)
138.0ms	(/ (+ (* (- (* (+ y (/ 7320129949063637.0 9.223372036854776e+18)) z) (/ 3202559735019045.0 1.152921504606847e+18)) z) (/ 6004799503160637.0 7.205759403792794e+16)) x)
283.0ms	(pow x 1/3)

simplify579.0ms

Counts: 85 → 85

prune1.0s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.8b

localize63.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
3.3b	(/ (+ (* (- (* (+ y (/ 7320129949063637.0 9.223372036854776e+18)) z) (/ 3202559735019045.0 1.152921504606847e+18)) z) (/ 6004799503160637.0 7.205759403792794e+16)) x)
4.9b	(pow x (/ 1 3))
4.9b	(pow x 1/3)

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

1.0ms	(cbrt x)
89.0ms	(/ (+ (* (- (* (+ y (/ 7320129949063637.0 9.223372036854776e+18)) z) (/ 3202559735019045.0 1.152921504606847e+18)) z) (/ 6004799503160637.0 7.205759403792794e+16)) x)
4.0ms	(pow x (/ 1 3))
3.0ms	(pow x 1/3)

series804.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(cbrt x)
96.0ms	(/ (+ (* (- (* (+ y (/ 7320129949063637.0 9.223372036854776e+18)) z) (/ 3202559735019045.0 1.152921504606847e+18)) z) (/ 6004799503160637.0 7.205759403792794e+16)) x)
258.0ms	(pow x (/ 1 3))
246.0ms	(pow x 1/3)

simplify668.0ms

Counts: 101 → 101

prune1.0s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.8b

regimes341.0ms

Accuracy

-2.8% (1.2b remaining)

Error of 5.9b against oracle of 4.6b and baseline of 5.8b

bsearch0.0ms

simplify1.2s

end0.0ms

sample4.3s

Algorithm

intervals

Results

1.7s	11643×	body	80	valid
1.6s	12073×	body	80	nan