Details

sample118.0ms

Algorithm

intervals

Results

47.0ms	393×	body	80	nan
38.0ms	357×	body	80	valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	2777
5	1555
4	687
3	260
2	91
1	40
0	20

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.8b

localize63.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- x 0.5) (log x))
0.2b	(- (* (- x 0.5) (log x)) x)
0.2b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
8.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite201.0ms

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-cbrt-cube` `add-exp-log`
7×	`pow1`
6×	`prod-diff`
5×	`associate-l`
4×	`expm1-log1p-u` `associate-r` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r` `fma-def` `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` `fma-neg` `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 → 120

Calls

4 calls:

29.0ms	(* (- x 0.5) (log x))
26.0ms	(- (* (- x 0.5) (log x)) x)
69.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
71.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.7s

Counts

4 → 12

Calls

4 calls:

352.0ms	(* (- x 0.5) (log x))
568.0ms	(- (* (- x 0.5) (log x)) x)
625.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
114.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.6s

Counts

132 → 132

Iterations

Iter	Nodes
done	5003
2	1857
1	630
0	245

prune987.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.5b

localize49.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
0.2b	(+ (fma (- x 0.5) (log x) (- x)) 0.91893853320467)
0.2b	(fma (- x 0.5) (log x) (- x))
8.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube` `add-exp-log`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r` `fma-def` `associate-r` `associate-l` `associate-/l`
2×	`flip3-+` `associate-*l/` `flip-+` `fma-udef` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+l+` `clear-num` `sum-log` `frac-2neg` `flip3--` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `flip--` `distribute-lft-out` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

69.0ms	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
11.0ms	(+ (fma (- x 0.5) (log x) (- x)) 0.91893853320467)
1.0ms	(fma (- x 0.5) (log x) (- x))
73.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.1s

Counts

4 → 12

Calls

4 calls:

71.0ms	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
449.0ms	(+ (fma (- x 0.5) (log x) (- x)) 0.91893853320467)
477.0ms	(fma (- x 0.5) (log x) (- x))
107.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.4s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
2	1383
1	464
0	191

prune745.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 5.5b

localize59.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.6b	(* (cbrt x) (cbrt x))
8.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
22×	`cbrt-prod` `*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`times-frac`
8×	`pow1/3` `add-exp-log`
6×	`add-cbrt-cube` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`associate-/r` `associate-/l`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up` `associate-/l/`
1×	`pow2` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `pow-plus` `div-exp` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `div-inv`

Counts

4 → 103

Calls

4 calls:

2.0ms	(cbrt x)
2.0ms	(cbrt x)
24.0ms	(* (cbrt x) (cbrt x))
107.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series997.0ms

Counts

4 → 12

Calls

4 calls:

271.0ms	(cbrt x)
283.0ms	(cbrt x)
303.0ms	(* (cbrt x) (cbrt x))
139.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify2.3s

Counts

115 → 115

Iterations

Iter	Nodes
done	5001
3	3313
2	927
1	330
0	141

prune983.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.5b

localize81.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.6b	(* (cbrt x) (cbrt x))
2.4b	(expm1 (log1p (cbrt x)))
8.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
19×	`cbrt-prod`
11×	`pow1`
9×	`times-frac`
8×	`add-exp-log`
7×	`pow1/3`
6×	`add-cbrt-cube` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`associate-/r` `associate-/l`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up` `associate-/l/`
1×	`pow2` `cbrt-undiv` `expm1-log1p` `clear-num` `frac-2neg` `flip3-+` `pow-plus` `div-exp` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `expm1-udef`

Counts

4 → 101

Calls

4 calls:

2.0ms	(cbrt x)
25.0ms	(* (cbrt x) (cbrt x))
0.0ms	(expm1 (log1p (cbrt x)))
67.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.6s

Counts

4 → 12

Calls

4 calls:

284.0ms	(cbrt x)
665.0ms	(* (cbrt x) (cbrt x))
491.0ms	(expm1 (log1p (cbrt x)))
125.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify2.7s

Counts

113 → 113

Iterations

Iter	Nodes
done	5002
3	3643
2	1011
1	361
0	153

prune981.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

regimes734.0ms

Accuracy

87.2% (0.7b remaining)

Error of 0.9b against oracle of 0.2b and baseline of 5.7b

bsearch2.0ms

simplify28.0ms

Iterations

Iter	Nodes
done	66
1	66
0	49

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.6s	11598×	body	80	nan
1.5s	11624×	body	80	valid