Details

sample149.0ms

Algorithm

intervals

Results

51.0ms	425×	body	80	nan
44.0ms	383×	body	80	valid

simplify6.0s

Counts

1 → 1

Iterations

Useful iterations: 4 (195.0ms)

Iter	Nodes	Cost
0	20	24
1	40	23
2	92	23
3	263	23
4	576	22
5	1144	22
6	2010	22
7	4222	22
done	5000	22

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.7b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* (- x 0.5) (log x)) x)
0.2b	(* (- x 0.5) (log x))
0.2b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
3.3b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite286.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt` `*-un-lft-identity`
23×	`add-cube-cbrt`
18×	`log-prod`
12×	`associate--l+`
11×	`associate-+l+` `add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in` `times-frac`
8×	`add-exp-log` `add-cbrt-cube`
7×	`pow1`
6×	`prod-diff`
5×	`associate-l`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u`
3×	`fma-def` `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` `fma-neg` `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 → 116

Calls

4 calls:

35.0ms	(- (* (- x 0.5) (log x)) x)
29.0ms	(* (- x 0.5) (log x))
128.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
91.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.9s

Counts

4 → 12

Calls

4 calls:

681.0ms	(- (* (- x 0.5) (log x)) x)
384.0ms	(* (- x 0.5) (log x))
676.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
143.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.7s

Counts

128 → 128

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	238	1852
1	574	1682
2	1606	1549
done	5000	1485

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.5b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
0.1b	(fma (log x) (- x 0.5) (- x))
0.2b	(+ (+ (fma (log x) (- x 0.5) (- x)) (+ (- x) x)) 0.91893853320467)
3.3b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite430.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
17×	`add-sqr-sqrt` `add-log-exp`
15×	`add-cube-cbrt`
14×	`distribute-lft-out`
9×	`times-frac` `sum-log`
8×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `fma-def`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`associate-+l-` `distribute-rgt-neg-in` `flip3-+` `associate-*l/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `neg-sub0` `associate-+r-` `associate-+l+` `flip3--` `frac-2neg` `div-exp` `pow-prod-down` `neg-log` `prod-exp` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `div-inv` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

58.0ms	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
0.0ms	(fma (log x) (- x 0.5) (- x))
278.0ms	(+ (+ (fma (log x) (- x 0.5) (- x)) (+ (- x) x)) 0.91893853320467)
91.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.1s

Counts

4 → 12

Calls

4 calls:

86.0ms	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
445.0ms	(fma (log x) (- x 0.5) (- x))
448.0ms	(+ (+ (fma (log x) (- x 0.5) (- x)) (+ (- x) x)) 0.91893853320467)
125.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.4s

Counts

103 → 103

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	202	1724
1	492	1551
2	1467	1348
done	5001	1311

prune628.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.5b

localize62.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)
3.3b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite66.0ms

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` `expm1-log1p-u` `log1p-expm1-u` `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 → 70

Calls

4 calls:

1.0ms	(cbrt x)
4.0ms	(cbrt x)
1.0ms	(cbrt x)
59.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series983.0ms

Counts

4 → 12

Calls

4 calls:

259.0ms	(cbrt x)
299.0ms	(cbrt x)
313.0ms	(cbrt x)
111.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.5s

Counts

82 → 82

Iterations

Useful iterations: 3 (656.0ms)

Iter	Nodes	Cost
0	101	939
1	225	870
2	630	794
3	1990	767
done	5000	767

prune719.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.5b

localize62.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
3.3b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
4.9b	(pow x 1/3)

rewrite117.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 77

Calls

4 calls:

2.0ms	(cbrt x)
2.0ms	(cbrt x)
108.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
3.0ms	(pow x 1/3)

series1.0s

Counts

4 → 12

Calls

4 calls:

285.0ms	(cbrt x)
299.0ms	(cbrt x)
130.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
290.0ms	(pow x 1/3)

simplify1.9s

Counts

89 → 89

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	130	994
1	285	879
2	735	814
3	2322	783
done	5001	779

prune664.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.5b

regimes379.0ms

Accuracy

0% (2.1b remaining)

Error of 5.8b against oracle of 3.7b and baseline of 5.8b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	36
1	34	36
done	34	36

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.3s	11643×	body	80	valid
1.6s	12073×	body	80	nan