Details

sample185.0ms

Algorithm

intervals

Results

72.0ms	402×	body	80	nan
48.0ms	364×	body	80	valid

simplify3.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	24
1	37	24
2	84	24
3	244	24
4	860	24
5	4090	24
done	5001	24

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize61.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
0.2b	(* (- x 0.5) (log x))
0.2b	(- (* (- x 0.5) (log x)) x)
6.2b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite343.0ms

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:

128.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
51.0ms	(* (- x 0.5) (log x))
37.0ms	(- (* (- x 0.5) (log x)) x)
120.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series2.6s

Counts

4 → 12

Calls

4 calls:

917.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
553.0ms	(* (- x 0.5) (log x))
935.0ms	(- (* (- x 0.5) (log x)) x)
174.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.6s

Counts

110 → 110

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	213	1655
1	521	1589
2	1917	1479
done	5000	1476

prune1.2s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.5b

localize70.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ 0.91893853320467 (+ (- (* 0.5 (- (log x))) x) (* (log x) x)))
0.2b	(+ (- (* 0.5 (- (log x))) x) (* (log x) x))
0.3b	(* (log x) x)
6.2b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite393.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

169.0ms	(+ 0.91893853320467 (+ (- (* 0.5 (- (log x))) x) (* (log x) x)))
89.0ms	(+ (- (* 0.5 (- (log x))) x) (* (log x) x))
16.0ms	(* (log x) x)
114.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series2.4s

Counts

4 → 12

Calls

4 calls:

934.0ms	(+ 0.91893853320467 (+ (- (* 0.5 (- (log x))) x) (* (log x) x)))
931.0ms	(+ (- (* 0.5 (- (log x))) x) (* (log x) x))
378.0ms	(* (log x) x)
160.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify2.0s

Counts

97 → 97

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	202	1630
1	534	1546
2	2207	1436
done	5000	1406

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 5.5b

localize95.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
6.2b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite106.0ms

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:

2.0ms	(cbrt x)
2.0ms	(cbrt x)
2.0ms	(cbrt x)
98.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.3s

Counts

4 → 12

Calls

4 calls:

395.0ms	(cbrt x)
389.0ms	(cbrt x)
393.0ms	(cbrt x)
167.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify823.0ms

Counts

74 → 74

Iterations

Useful iterations: done (819.0ms)

Iter	Nodes	Cost
0	97	893
1	224	870
2	902	792
done	5001	761

prune1.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.3b

localize67.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ 0.91893853320467 (+ (- (* 0.5 (- (log x))) x) (* (log x) x)))
0.2b	(+ (- (* 0.5 (- (log x))) x) (* (log x) x))
0.3b	(* (log x) x)
6.4b	(* (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) (/ 1 x))

rewrite428.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
18×	`add-log-exp`
16×	`add-cube-cbrt` `associate-r`
15×	`add-exp-log`
11×	`times-frac` `add-cbrt-cube`
9×	`pow1`
8×	`associate-+l+`
7×	`associate-l` `sum-log`
6×	`log-prod` `distribute-neg-in` `associate--l+`
5×	`prod-exp`
4×	`flip3-+` `flip-+` `unswap-sqr`
3×	`distribute-rgt-in` `distribute-lft-in` `cbrt-unprod`
2×	`+-commutative` `frac-times` `associate-+l-` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `-commutative`
1×	`cbrt-undiv` `associate-+r-` `sub-neg` `rec-exp` `associate-+r+` `1-exp` `associate-*r/` `log-pow` `un-div-inv` `div-inv` `distribute-lft-out`

Counts

4 → 96

Calls

4 calls:

155.0ms	(+ 0.91893853320467 (+ (- (* 0.5 (- (log x))) x) (* (log x) x)))
91.0ms	(+ (- (* 0.5 (- (log x))) x) (* (log x) x))
14.0ms	(* (log x) x)
161.0ms	(* (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) (/ 1 x))

series2.1s

Counts

4 → 12

Calls

4 calls:

844.0ms	(+ 0.91893853320467 (+ (- (* 0.5 (- (log x))) x) (* (log x) x)))
817.0ms	(+ (- (* 0.5 (- (log x))) x) (* (log x) x))
312.0ms	(* (log x) x)
143.0ms	(* (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) (/ 1 x))

simplify7.6s

Counts

108 → 108

Iterations

Useful iterations: done (7.6s)

Iter	Nodes	Cost
0	232	1860
1	653	1733
2	4152	1523
done	5000	1520

prune951.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 4.3b

regimes988.0ms

Accuracy

84.8% (0.3b remaining)

Error of 4.1b against oracle of 3.8b and baseline of 5.8b

bsearch2.0ms

simplify24.0ms

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	48	132
1	70	95
2	74	95
3	75	95
done	75	95

end0.0ms

sample5.9s

Algorithm

intervals

Results

2.5s	11619×	body	80	nan
2.0s	11683×	body	80	valid