Details

sample58.0ms

Algorithm

intervals

Results

19.0ms	372×	body	80	valid
16.0ms	370×	body	80	nan

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: 4 (61.0ms)

Iter	Nodes	Cost
0	20	24
1	40	23
2	91	23
3	214	23
4	505	22
5	1098	22
6	1972	22
7	4886	22
done	5000	22

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize17.0ms

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))
5.0b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite75.0ms

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:

32.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
7.0ms	(- (* (- x 0.5) (log x)) x)
11.0ms	(* (- x 0.5) (log x))
21.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.2s

Counts

4 → 12

Calls

4 calls:

439.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
426.0ms	(- (* (- x 0.5) (log x)) x)
255.0ms	(* (- x 0.5) (log x))
88.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify818.0ms

Counts

128 → 128

Iterations

Useful iterations: 2 (183.0ms)

Iter	Nodes	Cost
0	238	1852
1	593	1682
2	2213	1554
done	5000	1554

prune675.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.5b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (- x 0.5) (log x) (- (* (sqrt x) (sqrt x))))
0.1b	(+ (fma (- x 0.5) (log x) (- (* (sqrt x) (sqrt x)))) (+ (* x 0) 0.91893853320467))
0.5b	(* (sqrt x) (sqrt x))
5.0b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
21×	`add-cube-cbrt`
19×	`pow1`
18×	`sqrt-prod`
9×	`times-frac` `add-log-exp`
8×	`add-exp-log` `sqrt-pow1` `pow1/2` `swap-sqr` `add-cbrt-cube`
6×	`associate-r` `associate-l`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `unswap-sqr`
3×	`fma-def` `pow-prod-down` `associate-/r` `sum-log` `pow-sqr` `associate-/l`
2×	`flip3-+` `flip-+` `fma-udef` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `pow2` `associate-+l+` `associate-+r+` `frac-2neg` `pow-plus` `sqrt-unprod` `div-exp` `prod-exp` `clear-num` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `div-inv` `distribute-lft-out`

Counts

4 → 112

Calls

4 calls:

0.0ms	(fma (- x 0.5) (log x) (- (* (sqrt x) (sqrt x))))
8.0ms	(+ (fma (- x 0.5) (log x) (- (* (sqrt x) (sqrt x)))) (+ (* x 0) 0.91893853320467))
7.0ms	(* (sqrt x) (sqrt x))
21.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series519.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(fma (- x 0.5) (log x) (- (* (sqrt x) (sqrt x))))
209.0ms	(+ (fma (- x 0.5) (log x) (- (* (sqrt x) (sqrt x)))) (+ (* x 0) 0.91893853320467))
16.0ms	(* (sqrt x) (sqrt x))
89.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify924.0ms

Counts

124 → 124

Iterations

Useful iterations: done (921.0ms)

Iter	Nodes	Cost
0	207	1867
1	494	1363
2	2066	1216
done	5001	1215

prune463.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.5b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (- x 0.5) (log x) (- (expm1 (log1p x))))
0.1b	(+ (fma (- x 0.5) (log x) (- (expm1 (log1p x)))) (+ (* x 0) 0.91893853320467))
3.3b	(expm1 (log1p x))
5.0b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

0.0ms	(fma (- x 0.5) (log x) (- (expm1 (log1p x))))
8.0ms	(+ (fma (- x 0.5) (log x) (- (expm1 (log1p x)))) (+ (* x 0) 0.91893853320467))
0.0ms	(expm1 (log1p x))
21.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series903.0ms

Counts

4 → 12

Calls

4 calls:

236.0ms	(fma (- x 0.5) (log x) (- (expm1 (log1p x))))
237.0ms	(+ (fma (- x 0.5) (log x) (- (expm1 (log1p x)))) (+ (* x 0) 0.91893853320467))
324.0ms	(expm1 (log1p x))
106.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify579.0ms

Counts

84 → 84

Iterations

Useful iterations: 2 (131.0ms)

Iter	Nodes	Cost
0	182	1530
1	453	1281
2	1511	1126
done	5000	1126

prune424.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.5b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (- x 0.5) (log x) (- (expm1 (log1p x))))
0.1b	(+ (fma (- x 0.5) (log x) (- (expm1 (log1p x)))) (+ (* x 0) 0.91893853320467))
3.3b	(expm1 (log1p x))
5.2b	(* (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) (/ 1 x))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
13×	`add-exp-log` `add-cube-cbrt` `associate-r`
11×	`times-frac`
9×	`add-cbrt-cube` `add-log-exp`
6×	`pow1`
4×	`expm1-log1p-u` `prod-exp` `log1p-expm1-u`
3×	`fma-def` `flip3-+` `associate-l` `sum-log` `flip-+` `unswap-sqr`
2×	`frac-times` `div-exp` `associate-*l/` `cbrt-unprod` `fma-udef`
1×	`cbrt-undiv` `+-commutative` `rec-exp` `associate-+l+` `associate-+r+` `expm1-log1p` `1-exp` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `div-inv` `distribute-lft-out` `expm1-udef`

Counts

4 → 83

Calls

4 calls:

0.0ms	(fma (- x 0.5) (log x) (- (expm1 (log1p x))))
8.0ms	(+ (fma (- x 0.5) (log x) (- (expm1 (log1p x)))) (+ (* x 0) 0.91893853320467))
0.0ms	(expm1 (log1p x))
40.0ms	(* (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) (/ 1 x))

series884.0ms

Counts

4 → 12

Calls

4 calls:

234.0ms	(fma (- x 0.5) (log x) (- (expm1 (log1p x))))
236.0ms	(+ (fma (- x 0.5) (log x) (- (expm1 (log1p x)))) (+ (* x 0) 0.91893853320467))
325.0ms	(expm1 (log1p x))
89.0ms	(* (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) (/ 1 x))

simplify1.0s

Counts

95 → 95

Iterations

Useful iterations: 2 (194.0ms)

Iter	Nodes	Cost
0	211	1764
1	568	1437
2	2155	1220
done	5001	1220

prune420.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 4.5b

regimes270.0ms

Accuracy

0% (1.0b remaining)

Error of 6.0b against oracle of 5.0b and baseline of 6.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	32
1	37	32
done	37	32

end0.0ms

sample1.6s

Algorithm

intervals

Results

606.0ms	11786×	body	80	valid
516.0ms	11664×	body	80	nan