Details

sample160.0ms

Algorithm

intervals

Results

50.0ms	383×	body	80	valid
45.0ms	388×	body	80	nan

simplify5.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	24
1	37	24
2	84	24
3	237	24
4	510	24
5	937	24
6	1858	24
7	3759	24
done	5000	24

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.8b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- x 0.5) (log x))
0.1b	(- (* (- x 0.5) (log x)) x)
0.1b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
5.2b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite238.0ms

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×	`add-exp-log` `associate-+l+` `add-cbrt-cube`
7×	`pow1`
5×	`associate-l`
4×	`associate-r`
3×	`associate-/r` `associate-/l`
2×	`sub-neg` `flip3--` `flip3-+` `diff-log` `associate-*l/` `sum-log` `flip--` `flip-+` `associate-/l/`
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--` `difference-of-squares` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

29.0ms	(* (- x 0.5) (log x))
26.0ms	(- (* (- x 0.5) (log x)) x)
108.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
69.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series2.0s

Counts

4 → 12

Calls

4 calls:

365.0ms	(* (- x 0.5) (log x))
667.0ms	(- (* (- x 0.5) (log x)) x)
774.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
148.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify2.9s

Counts

110 → 110

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	213	1655
1	501	1589
2	1406	1469
3	4880	1419
done	5000	1419

prune452.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
5.2b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
56.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.0s

Counts

4 → 12

Calls

4 calls:

327.0ms	(cbrt x)
280.0ms	(cbrt x)
278.0ms	(cbrt x)
127.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.3s

Counts

74 → 74

Iterations

Useful iterations: 3 (520.0ms)

Iter	Nodes	Cost
0	97	893
1	214	870
2	590	790
3	1830	761
done	5001	761

prune470.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
4.9b	(pow x 1/3)
5.2b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite109.0ms

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` `add-cbrt-cube`
5×	`pow1`
4×	`add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `associate-/r` `associate-/l`
2×	`pow1/3` `associate-/l/`
1×	`cbrt-undiv` `pow-to-exp` `pow-pow` `frac-2neg` `flip3-+` `unpow1/3` `div-exp` `pow-exp` `clear-num` `flip-+` `div-inv` `sqr-pow`

Counts

4 → 69

Calls

4 calls:

2.0ms	(cbrt x)
2.0ms	(cbrt x)
5.0ms	(pow x 1/3)
97.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series904.0ms

Counts

4 → 12

Calls

4 calls:

264.0ms	(cbrt x)
219.0ms	(cbrt x)
281.0ms	(pow x 1/3)
140.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.3s

Counts

81 → 81

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	124	946
1	272	879
2	690	810
3	2147	777
done	5001	773

prune566.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (* (log (sqrt x)) (- x 0.5)) x) 0.91893853320467)
0.2b	(- (* (log (sqrt x)) (- x 0.5)) x)
0.3b	(+ (* (- x 0.5) (log (sqrt x))) (+ (- (* (log (sqrt x)) (- x 0.5)) x) 0.91893853320467))
5.2b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite367.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

71.0ms	(+ (- (* (log (sqrt x)) (- x 0.5)) x) 0.91893853320467)
16.0ms	(- (* (log (sqrt x)) (- x 0.5)) x)
183.0ms	(+ (* (- x 0.5) (log (sqrt x))) (+ (- (* (log (sqrt x)) (- x 0.5)) x) 0.91893853320467))
91.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series807.0ms

Counts

4 → 12

Calls

4 calls:

225.0ms	(+ (- (* (log (sqrt x)) (- x 0.5)) x) 0.91893853320467)
228.0ms	(- (* (log (sqrt x)) (- x 0.5)) x)
231.0ms	(+ (* (- x 0.5) (log (sqrt x))) (+ (- (* (log (sqrt x)) (- x 0.5)) x) 0.91893853320467))
123.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.2s

Counts

108 → 108

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	243	2471
1	684	2364
2	2279	2181
done	5002	2135

prune710.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.0b

regimes1.1s

Accuracy

83.4% (0.3b remaining)

Error of 4.5b against oracle of 4.1b and baseline of 6.1b

bsearch95.0ms

Steps

Iters	Range		Point
7	115599830686524.98	2154434803409460.2	177333351812856.5

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	44	89
1	57	89
done	57	89

end0.0ms

sample4.3s

Algorithm

intervals

Results

1.9s	11709×	body	80	valid
1.4s	11586×	body	80	nan