Details

sample143.0ms

Algorithm

intervals

Results

53.0ms	354×	body	80	nan
42.0ms	383×	body	80	valid

simplify5.3s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize22.0ms

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))
4.1b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite200.0ms

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:

66.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
34.0ms	(- (* (- x 0.5) (log x)) x)
25.0ms	(* (- x 0.5) (log x))
70.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series2.0s

Counts

4 → 12

Calls

4 calls:

750.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
660.0ms	(- (* (- x 0.5) (log x)) x)
413.0ms	(* (- x 0.5) (log x))
131.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify2.7s

Counts

110 → 110

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	213	1655
1	501	1589
2	1406	1469
3	4869	1419
done	5001	1419

prune563.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
4.1b	(/ (+ (* (- (* (+ 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)

series910.0ms

Counts

4 → 12

Calls

4 calls:

289.0ms	(cbrt x)
296.0ms	(cbrt x)
219.0ms	(cbrt x)
106.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify917.0ms

Counts

74 → 74

Iterations

Useful iterations: 3 (376.0ms)

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

prune463.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
4.1b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
5.0b	(pow (/ 1 x) -1/3)

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
79.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
12.0ms	(pow (/ 1 x) -1/3)

series889.0ms

Counts

4 → 12

Calls

4 calls:

232.0ms	(cbrt x)
250.0ms	(cbrt x)
113.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
294.0ms	(pow (/ 1 x) -1/3)

simplify1.4s

Counts

95 → 95

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	168	1157
1	364	1075
2	843	985
3	2365	952
done	5002	950

prune652.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
4.1b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
5.0b	(pow (/ 1 x) -1/3)

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

2.0ms	(cbrt x)
2.0ms	(cbrt x)
79.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
27.0ms	(pow (/ 1 x) -1/3)

series871.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(cbrt x)
250.0ms	(cbrt x)
115.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
254.0ms	(pow (/ 1 x) -1/3)

simplify1.9s

Counts

95 → 95

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	168	1157
1	364	1075
2	843	985
3	2365	952
done	5002	950

prune606.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.0b

regimes531.0ms

Accuracy

77.3% (0.5b remaining)

Error of 4.3b against oracle of 3.8b and baseline of 6.1b

bsearch233.0ms

Steps

Iters	Range		Point
7	0.004783457833171893	0.5242272119756929	0.5108993033454987
7	-8.749289211529651e+46	-1.1947976741788137e+45	-1.2121961970039722e+45

simplify7.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	41	93
1	56	68
done	56	68

end0.0ms

sample4.5s

Algorithm

intervals

Results

2.0s	11741×	body	80	valid
1.4s	12000×	body	80	nan