Details

sample170.0ms

Algorithm

intervals

Results

59.0ms	394×	body	80	valid
49.0ms	371×	body	80	nan

simplify919.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
5	1555
4	687
3	260
2	91
1	40
0	20

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (+ y 0.0007936500793651) z) 0.0027777777777778)
0.1b	(fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333)
0.2b	(fma (log x) (- x 0.5) (+ (- 0.91893853320467 x) (/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x)))
2.9b	(/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

14.0ms	(- (* (+ y 0.0007936500793651) z) 0.0027777777777778)
0.0ms	(fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333)
0.0ms	(fma (log x) (- x 0.5) (+ (- 0.91893853320467 x) (/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x)))
7.0ms	(/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x)

series418.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- (* (+ y 0.0007936500793651) z) 0.0027777777777778)
65.0ms	(fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333)
194.0ms	(fma (log x) (- x 0.5) (+ (- 0.91893853320467 x) (/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x)))
111.0ms	(/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x)

simplify705.0ms

Counts

83 → 83

Iterations

Iter	Nodes
done	2008
2	923
1	358
0	164

prune577.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.0b

localize34.0ms

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)) x)
0.2b	(* (- x 0.5) (log x))
2.9b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite174.0ms

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:

64.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
14.0ms	(- (* (- x 0.5) (log x)) x)
18.0ms	(* (- x 0.5) (log x))
76.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.6s

Counts

4 → 12

Calls

4 calls:

583.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
603.0ms	(- (* (- x 0.5) (log x)) x)
355.0ms	(* (- x 0.5) (log x))
94.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify886.0ms

Counts

132 → 132

Iterations

Iter	Nodes
done	2000
2	1845
1	632
0	245

prune959.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.9b

localize52.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
2.9b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite44.0ms

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)
42.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series857.0ms

Counts

4 → 12

Calls

4 calls:

297.0ms	(cbrt x)
220.0ms	(cbrt x)
241.0ms	(cbrt x)
100.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify570.0ms

Counts

86 → 86

Iterations

Iter	Nodes
done	2002
2	653
1	234
0	103

prune739.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.9b

localize64.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
2.9b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
4.4b	(exp (* 1/3 (log x)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
65.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
6.0ms	(exp (* 1/3 (log x)))

series849.0ms

Counts

4 → 12

Calls

4 calls:

248.0ms	(cbrt x)
239.0ms	(cbrt x)
111.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
250.0ms	(exp (* 1/3 (log x)))

simplify886.0ms

Counts

91 → 91

Iterations

Iter	Nodes
done	2004
2	866
1	302
0	143

prune871.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.9b

regimes722.0ms

Accuracy

39% (2.0b remaining)

Error of 4.0b against oracle of 2.0b and baseline of 5.3b

bsearch58.0ms

Steps

Iters	Range		Point
3	1.5115364615044977e+231	1.959814401809358e+231	1.562291000289737e+231

simplify21.0ms

Iterations

Iter	Nodes
done	58
2	58
1	53
0	39

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.1s	11809×	body	80	valid
1.8s	11773×	body	80	nan