Details

sample216.0ms

Algorithm

intervals

Results

104.0ms	364×	body	80	valid
72.0ms	365×	body	80	nan

simplify3.8s

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize79.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
0.2b	(* (- x 0.5) (log x))
0.2b	(- (* (- x 0.5) (log x)) x)
6.7b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite168.0ms

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:

69.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
22.0ms	(* (- x 0.5) (log x))
22.0ms	(- (* (- x 0.5) (log x)) x)
52.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.8s

Counts

4 → 12

Calls

4 calls:

665.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
349.0ms	(* (- x 0.5) (log x))
661.0ms	(- (* (- x 0.5) (log x)) x)
123.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.9s

Counts

132 → 132

Iterations

Iter	Nodes
done	5002
2	1845
1	632
0	245

prune1.0s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.3b

localize109.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
6.7b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod` `times-frac`
6×	`add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `pow1/3` `associate-/l`
2×	`associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv`

Counts

4 → 74

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
90.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series914.0ms

Counts

4 → 12

Calls

4 calls:

274.0ms	(cbrt x)
262.0ms	(cbrt x)
277.0ms	(cbrt x)
99.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify2.2s

Counts

86 → 86

Iterations

Iter	Nodes
done	5023
3	2227
2	653
1	234
0	103

prune932.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- x 0.5) (log (sqrt x)))
0.2b	(- (* (- x 0.5) (log (sqrt x))) x)
0.3b	(+ (* (- x 0.5) (log (sqrt x))) (+ (- (* (- x 0.5) (log (sqrt x))) x) 0.91893853320467))
6.7b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite217.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
31×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
27×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in` `sqrt-prod`
15×	`add-log-exp`
12×	`associate-+l+` `associate--l+`
9×	`times-frac`
8×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`associate-r` `associate-*l/`
5×	`sum-log` `associate-l`
4×	`expm1-log1p-u` `flip3-+` `flip3--` `frac-add` `flip-+` `insert-posit16` `log1p-expm1-u` `flip--`
3×	`associate-/r` `prod-diff` `log-pow` `associate-/l`
2×	`diff-log` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+r+` `clear-num` `associate-+r-` `sub-neg` `fma-def` `frac-2neg` `sqrt-pow1` `pow1/2` `fma-neg` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `associate-+l-` `cbrt-unprod` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 138

Calls

4 calls:

20.0ms	(* (- x 0.5) (log (sqrt x)))
22.0ms	(- (* (- x 0.5) (log (sqrt x))) x)
119.0ms	(+ (* (- x 0.5) (log (sqrt x))) (+ (- (* (- x 0.5) (log (sqrt x))) x) 0.91893853320467))
54.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series714.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(* (- x 0.5) (log (sqrt x)))
217.0ms	(- (* (- x 0.5) (log (sqrt x))) x)
261.0ms	(+ (* (- x 0.5) (log (sqrt x))) (+ (- (* (- x 0.5) (log (sqrt x))) x) 0.91893853320467))
110.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify2.5s

Counts

150 → 150

Iterations

Iter	Nodes
done	5000
2	2965
1	863
0	302

prune1.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- x 0.5) (log (sqrt x)))
0.2b	(- (* (- x 0.5) (log (sqrt x))) x)
0.2b	(fma (- x 0.5) (log (sqrt x)) (+ (- (* (- x 0.5) (log (sqrt x))) x) 0.91893853320467))
6.7b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite529.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
24×	`log-prod`
23×	`add-cube-cbrt`
12×	`distribute-rgt-in` `distribute-lft-in` `associate--l+` `sqrt-prod`
9×	`times-frac`
8×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`associate-r` `add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r` `prod-diff` `log-pow` `associate-/l`
2×	`flip3--` `associate-*l/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `sqrt-pow1` `flip3-+` `pow1/2` `fma-neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `fma-udef` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 114

Calls

4 calls:

18.0ms	(* (- x 0.5) (log (sqrt x)))
21.0ms	(- (* (- x 0.5) (log (sqrt x))) x)
0.0ms	(fma (- x 0.5) (log (sqrt x)) (+ (- (* (- x 0.5) (log (sqrt x))) x) 0.91893853320467))
487.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series852.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(* (- x 0.5) (log (sqrt x)))
218.0ms	(- (* (- x 0.5) (log (sqrt x))) x)
360.0ms	(fma (- x 0.5) (log (sqrt x)) (+ (- (* (- x 0.5) (log (sqrt x))) x) 0.91893853320467))
149.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.7s

Counts

126 → 126

Iterations

Iter	Nodes
done	5001
2	1696
1	615
0	249

prune969.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes872.0ms

Accuracy

96.8% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 5.6b

bsearch3.0ms

simplify22.0ms

Iterations

Iter	Nodes
done	74
2	74
1	70
0	50

end0.0ms

sample5.5s

Algorithm

intervals

Results

2.5s	11724×	body	80	nan
2.1s	11666×	body	80	valid