Details

sample64.0ms

Algorithm

intervals

Results

20.0ms	384×	body	80	valid
19.0ms	387×	body	80	nan

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 4 (56.0ms)

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

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.7b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
0.1b	(* (- x 0.5) (log x))
0.2b	(- (* (- x 0.5) (log x)) x)
5.3b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite73.0ms

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)
11.0ms	(* (- x 0.5) (log x))
7.0ms	(- (* (- x 0.5) (log x)) x)
20.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.2s

Counts

4 → 12

Calls

4 calls:

443.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
266.0ms	(* (- x 0.5) (log x))
413.0ms	(- (* (- x 0.5) (log x)) x)
86.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify992.0ms

Counts

128 → 128

Iterations

Useful iterations: 2 (380.0ms)

Iter	Nodes	Cost
0	238	1852
1	597	1682
2	2247	1546
done	5001	1546

prune466.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
5.3b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite23.0ms

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:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
0.0ms	(cbrt x)
20.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series604.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt x)
174.0ms	(cbrt x)
171.0ms	(cbrt x)
82.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.2s

Counts

82 → 82

Iterations

Useful iterations: 3 (262.0ms)

Iter	Nodes	Cost
0	101	939
1	225	870
2	687	794
3	2946	767
done	5000	767

prune421.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.8b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
5.3b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite23.0ms

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:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
1.0ms	(cbrt x)
20.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series627.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt x)
178.0ms	(cbrt x)
183.0ms	(cbrt x)
84.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.2s

Counts

82 → 82

Iterations

Useful iterations: 3 (265.0ms)

Iter	Nodes	Cost
0	101	939
1	225	870
2	687	794
3	2946	767
done	5000	767

prune408.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 4.8b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* (- x 0.5) (log x)) x)
0.2b	(- (* (- x 0.5) (log x)) x)
0.5b	(* (sqrt (+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)) (sqrt (+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)))
5.3b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
38×	`add-sqr-sqrt`
26×	`add-cube-cbrt` `sqrt-prod`
19×	`pow1`
12×	`log-prod` `sqrt-div` `associate--l+`
11×	`swap-sqr`
9×	`times-frac`
8×	`add-exp-log` `sqrt-pow1` `pow1/2` `add-cbrt-cube` `add-log-exp`
7×	`flip3-+` `associate-r` `associate-l` `flip-+`
6×	`distribute-rgt-in` `distribute-lft-in` `prod-diff` `distribute-lft-out`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `unswap-sqr`
3×	`pow-prod-down` `associate-/r` `pow-sqr` `associate-/l`
2×	`sub-neg` `flip3--` `fma-neg` `diff-log` `associate-r/` `associate-l/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `pow2` `frac-2neg` `pow-plus` `sqrt-unprod` `div-exp` `prod-exp` `clear-num` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 143

Calls

4 calls:

7.0ms	(- (* (- x 0.5) (log x)) x)
7.0ms	(- (* (- x 0.5) (log x)) x)
129.0ms	(* (sqrt (+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)) (sqrt (+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)))
20.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.4s

Counts

4 → 12

Calls

4 calls:

429.0ms	(- (* (- x 0.5) (log x)) x)
427.0ms	(- (* (- x 0.5) (log x)) x)
436.0ms	(* (sqrt (+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)) (sqrt (+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)))
85.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify909.0ms

Counts

155 → 155

Iterations

Useful iterations: 2 (194.0ms)

Iter	Nodes	Cost
0	235	3483
1	551	2558
2	2188	2357
done	5001	2357

prune539.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 4.8b

regimes261.0ms

Accuracy

0% (2.1b remaining)

Error of 5.8b against oracle of 3.8b and baseline of 5.8b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	36
1	34	36
done	34	36

end0.0ms

sample1.9s

Algorithm

intervals

Results

729.0ms	11506×	body	80	nan
635.0ms	11662×	body	80	valid