Details

sample126.0ms

Algorithm

intervals

Results

56.0ms	379×	body	80	nan
35.0ms	376×	body	80	valid

simplify2.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	4006
4	855
3	244
2	84
1	37
0	20

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
0.1b	(- (* (- x 0.5) (log x)) x)
0.2b	(* (- x 0.5) (log x))
6.4b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`log-prod`
12×	`associate--l+`
11×	`add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in` `times-frac`
8×	`associate-+l+` `add-cbrt-cube` `add-exp-log`
7×	`pow1`
5×	`associate-l`
4×	`associate-r`
3×	`associate-/r` `associate-/l`
2×	`sum-log` `sub-neg` `flip3-+` `flip3--` `diff-log` `associate-*l/` `flip-+` `flip--` `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` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

56.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
16.0ms	(- (* (- x 0.5) (log x)) x)
18.0ms	(* (- x 0.5) (log x))
57.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series2.2s

Counts

4 → 12

Calls

4 calls:

800.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
765.0ms	(- (* (- x 0.5) (log x)) x)
466.0ms	(* (- x 0.5) (log x))
171.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.5s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	1974
1	527
0	216

prune864.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.1b

localize96.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
6.4b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
65.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series976.0ms

Counts

4 → 12

Calls

4 calls:

277.0ms	(cbrt x)
313.0ms	(cbrt x)
269.0ms	(cbrt x)
117.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.2s

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
2	898
1	224
0	97

prune904.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize131.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
6.4b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
46.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.1s

Counts

4 → 12

Calls

4 calls:

291.0ms	(cbrt x)
297.0ms	(cbrt x)
303.0ms	(cbrt x)
167.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.0s

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
2	898
1	224
0	97

prune773.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize110.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
2.5b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) (sqrt x))
4.3b	(/ (/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) (sqrt x)) (sqrt x))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 238

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
55.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) (sqrt x))
80.0ms	(/ (/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) (sqrt x)) (sqrt x))

series977.0ms

Counts

4 → 12

Calls

4 calls:

319.0ms	(cbrt x)
318.0ms	(cbrt x)
190.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) (sqrt x))
150.0ms	(/ (/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) (sqrt x)) (sqrt x))

simplify2.5s

Counts

250 → 250

Iterations

Iter	Nodes
done	5000
2	4168
1	773
0	311

prune2.3s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes1.6s

Accuracy

96% (0.2b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 6.1b

bsearch112.0ms

Steps

Iters	Range		Point
6	398511955211.2081	4379396180708.716	406117785587.8439

simplify12.0ms

Iterations

Iter	Nodes
done	55
2	55
1	54
0	41

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.8s	11652×	body	80	valid
1.4s	11585×	body	80	nan